%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV475^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:41:20 AM UTC 2026
% Result : Theorem 8.61s 2.30s
% Output : Refutation 8.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV475^1 : TPTP v9.2.1. Released v7.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n029.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 12:47:44 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.31/0.46 ---- Original DTF file ---
% 0.31/0.46 thf(spec,logic,$$dhol).
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 % File : SEV475^1 : TPTP v9.2.1. Released v7.0.0.
% 0.31/0.46 % Domain : Analysis
% 0.31/0.46 % Problem : EXISTS_SUBSET_IMAGE_INJ
% 0.31/0.46 % Version : Especial.
% 0.31/0.46 % English :
% 0.31/0.46
% 0.31/0.46 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.31/0.46 % Source : [Kal16]
% 0.31/0.46 % Names : EXISTS_SUBSET_IMAGE_INJ_.p [Kal16]
% 0.31/0.46
% 0.31/0.46 % Status : Theorem
% 0.31/0.46 % Rating : 0.33 v8.2.0, 0.67 v8.1.0, 0.75 v7.5.0, 0.00 v7.2.0, 0.25 v7.1.0
% 0.31/0.46 % Syntax : Number of formulae : 7 ( 3 unt; 4 typ; 0 def)
% 0.31/0.46 % Number of atoms : 22 ( 10 equ; 0 cnn)
% 0.31/0.46 % Maximal formula atoms : 1 ( 7 avg)
% 0.31/0.46 % Number of connectives : 57 ( 0 ~; 0 |; 7 &; 48 @)
% 0.31/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.31/0.46 % Maximal formula depth : 6 ( 5 avg)
% 0.31/0.46 % Number of types : 1 ( 0 usr)
% 0.31/0.46 % Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% 0.31/0.46 % Number of symbols : 5 ( 4 usr; 0 con; 2-5 aty)
% 0.31/0.46 % Number of variables : 24 ( 0 ^; 16 !; 3 ?; 24 :)
% 0.31/0.46 % ( 5 !>; 0 ?*; 0 @-; 0 @+)
% 0.31/0.46 % SPC : TH1_THM_EQU_NAR
% 0.31/0.46
% 0.31/0.46 % Comments : Exported from core HOL Light.
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 thf('thf_const_const/trivia/I',type,
% 0.31/0.46 'const/trivia/I':
% 0.31/0.46 !>[A: $tType] : ( A > A ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/SUBSET',type,
% 0.31/0.46 'const/sets/SUBSET':
% 0.31/0.46 !>[A: $tType] : ( ( A > $o ) > ( A > $o ) > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/IN',type,
% 0.31/0.46 'const/sets/IN':
% 0.31/0.46 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thf_const_const/sets/IMAGE',type,
% 0.31/0.46 'const/sets/IMAGE':
% 0.31/0.46 !>[A: $tType,B: $tType] : ( ( A > B ) > ( A > $o ) > B > $o ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/trivia/I_THM_',axiom,
% 0.31/0.46 ! [A: $tType,A0: A] :
% 0.31/0.46 ( ( 'const/trivia/I' @ A @ A0 )
% 0.31/0.46 = A0 ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/SUBSET_IMAGE_INJ_',axiom,
% 0.31/0.46 ! [B: $tType,A: $tType,A0: A > B,A1: B > $o,A2: A > $o] :
% 0.31/0.46 ( ( 'const/sets/SUBSET' @ B @ A1 @ ( 'const/sets/IMAGE' @ A @ B @ A0 @ A2 ) )
% 0.31/0.46 = ( ? [A3: A > $o] :
% 0.31/0.46 ( ( 'const/sets/SUBSET' @ A @ A3 @ A2 )
% 0.31/0.46 & ! [A4: A,A5: A] :
% 0.31/0.46 ( ( ( 'const/sets/IN' @ A @ A4 @ A3 )
% 0.31/0.46 & ( 'const/sets/IN' @ A @ A5 @ A3 ) )
% 0.31/0.46 => ( ( ( A0 @ A4 )
% 0.31/0.46 = ( A0 @ A5 ) )
% 0.31/0.46 = ( A4 = A5 ) ) )
% 0.31/0.46 & ( A1
% 0.31/0.46 = ( 'const/sets/IMAGE' @ A @ B @ A0 @ A3 ) ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 thf('thm/sets/EXISTS_SUBSET_IMAGE_INJ_',conjecture,
% 0.31/0.46 ! [A: $tType,A0: $tType,P: ( A > $o ) > $o,A1: A0 > A,A2: A0 > $o] :
% 0.31/0.46 ( ( ? [A3: A > $o] :
% 0.31/0.46 ( ( 'const/sets/SUBSET' @ A @ A3 @ ( 'const/sets/IMAGE' @ A0 @ A @ A1 @ A2 ) )
% 0.31/0.46 & ( P @ A3 ) ) )
% 0.31/0.46 = ( ? [A3: A0 > $o] :
% 0.31/0.46 ( ( 'const/sets/SUBSET' @ A0 @ A3 @ A2 )
% 0.31/0.46 & ! [A4: A0,A5: A0] :
% 0.31/0.46 ( ( ( 'const/sets/IN' @ A0 @ A4 @ A3 )
% 0.31/0.46 & ( 'const/sets/IN' @ A0 @ A5 @ A3 ) )
% 0.31/0.46 => ( ( ( A1 @ A4 )
% 0.31/0.46 = ( A1 @ A5 ) )
% 0.31/0.46 = ( A4 = A5 ) ) )
% 0.31/0.46 & ( P @ ( 'const/sets/IMAGE' @ A0 @ A @ A1 @ A3 ) ) ) ) ) ).
% 0.31/0.46
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 ------------------------
% 1.52/1.25 ---- Embedded in THF ---
% 1.52/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.52/1.25 %%% Generated on Tue Feb 24 12:47:45 EST 2026
% 1.52/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.52/1.25 %%% Logic specification used:
% 1.52/1.25 %%% thf(spec, logic, $$dhol).
% 1.52/1.25
% 1.52/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.aXvRLgfTa8/DTF2DTF5169.p
% 1.52/1.25 thf('thf_const_const/trivia/I', type, 'const/trivia/I': (!> [A:$tType]: ((A > A)))).
% 1.52/1.25 thf('thf_const_const/sets/SUBSET', type, 'const/sets/SUBSET': (!> [A:$tType]: (((A > $o) > ((A > $o) > $o))))).
% 1.52/1.25 thf('thf_const_const/sets/IN', type, 'const/sets/IN': (!> [A:$tType]: ((A > ((A > $o) > $o))))).
% 1.52/1.25 thf('thf_const_const/sets/IMAGE', type, 'const/sets/IMAGE': (!> [A:$tType,B:$tType]: (((A > B) > ((A > $o) > (B > $o)))))).
% 1.52/1.25 thf('thm/trivia/I_THM_', axiom, (! [A:$tType,A0:A]: (((('const/trivia/I' @ A) @ A0) = A0)))).
% 1.52/1.25 thf('thm/sets/SUBSET_IMAGE_INJ_', axiom, (! [B:$tType,A:$tType,A0:(A > B),A1:(B > $o),A2:(A > $o)]: ((((('const/sets/SUBSET' @ B) @ A1) @ (((('const/sets/IMAGE' @ A) @ B) @ A0) @ A2)) = (? [A3:(A > $o)]: ((((('const/sets/SUBSET' @ A) @ A3) @ A2) & ((! [A4:A,A5:A]: (((((('const/sets/IN' @ A) @ A4) @ A3) & ((('const/sets/IN' @ A) @ A5) @ A3)) => (((A0 @ A4) = (A0 @ A5)) = (A4 = A5))))) & (A1 = (((('const/sets/IMAGE' @ A) @ B) @ A0) @ A3)))))))))).
% 1.52/1.25 thf('thm/sets/EXISTS_SUBSET_IMAGE_INJ_', conjecture, (! [A:$tType,A0:$tType,P:((A > $o) > $o),A1:(A0 > A),A2:(A0 > $o)]: (((? [A3:(A > $o)]: ((((('const/sets/SUBSET' @ A) @ A3) @ (((('const/sets/IMAGE' @ A0) @ A) @ A1) @ A2)) & (P @ A3)))) = (? [A3:(A0 > $o)]: ((((('const/sets/SUBSET' @ A0) @ A3) @ A2) & ((! [A4:A0,A5:A0]: (((((('const/sets/IN' @ A0) @ A4) @ A3) & ((('const/sets/IN' @ A0) @ A5) @ A3)) => (((A1 @ A4) = (A1 @ A5)) = (A4 = A5))))) & (P @ (((('const/sets/IMAGE' @ A0) @ A) @ A1) @ A3)))))))))).
% 1.52/1.25 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.aXvRLgfTa8/DTF2DTF5169.p
% 1.52/1.25 ------------------------
% 1.52/1.27 ---- Cleaned THF ---
% 1.52/1.27 thf('thf_const_const/trivia/I',type,
% 1.52/1.27 'const/trivia/I':
% 1.52/1.27 !>[A: $tType] : ( A > A ) ).
% 1.52/1.27
% 1.52/1.27 thf('thf_const_const/sets/SUBSET',type,
% 1.52/1.27 'const/sets/SUBSET':
% 1.52/1.27 !>[A: $tType] : ( ( A > $o ) > ( A > $o ) > $o ) ).
% 1.52/1.27
% 1.52/1.27 thf('thf_const_const/sets/IN',type,
% 1.52/1.27 'const/sets/IN':
% 1.52/1.27 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 1.52/1.27
% 1.52/1.27 thf('thf_const_const/sets/IMAGE',type,
% 1.52/1.27 'const/sets/IMAGE':
% 1.52/1.27 !>[A: $tType,B: $tType] : ( ( A > B ) > ( A > $o ) > B > $o ) ).
% 1.52/1.27
% 1.52/1.27 thf('thm/trivia/I_THM_',axiom,
% 1.52/1.27 ! [A: $tType,A0: A] :
% 1.52/1.27 ( ( 'const/trivia/I' @ A @ A0 )
% 1.52/1.27 = A0 ) ).
% 1.52/1.27
% 1.52/1.27 thf('thm/sets/SUBSET_IMAGE_INJ_',axiom,
% 1.52/1.27 ! [B: $tType,A: $tType,A0: A > B,A1: B > $o,A2: A > $o] :
% 1.52/1.27 ( ( 'const/sets/SUBSET' @ B @ A1 @ ( 'const/sets/IMAGE' @ A @ B @ A0 @ A2 ) )
% 1.52/1.27 = ( ? [A3: A > $o] :
% 1.52/1.27 ( ( 'const/sets/SUBSET' @ A @ A3 @ A2 )
% 1.52/1.27 & ! [A4: A,A5: A] :
% 1.52/1.27 ( ( ( 'const/sets/IN' @ A @ A4 @ A3 )
% 1.52/1.27 & ( 'const/sets/IN' @ A @ A5 @ A3 ) )
% 1.52/1.27 => ( ( ( A0 @ A4 )
% 1.52/1.27 = ( A0 @ A5 ) )
% 1.52/1.27 = ( A4 = A5 ) ) )
% 1.52/1.27 & ( A1
% 1.52/1.27 = ( 'const/sets/IMAGE' @ A @ B @ A0 @ A3 ) ) ) ) ) ).
% 1.52/1.27
% 1.52/1.27 thf('thm/sets/EXISTS_SUBSET_IMAGE_INJ_',conjecture,
% 1.52/1.27 ! [A: $tType,A0: $tType,P: ( A > $o ) > $o,A1: A0 > A,A2: A0 > $o] :
% 1.52/1.27 ( ( ? [A3: A > $o] :
% 1.52/1.27 ( ( 'const/sets/SUBSET' @ A @ A3 @ ( 'const/sets/IMAGE' @ A0 @ A @ A1 @ A2 ) )
% 1.52/1.27 & ( P @ A3 ) ) )
% 1.52/1.27 = ( ? [A3: A0 > $o] :
% 1.52/1.27 ( ( 'const/sets/SUBSET' @ A0 @ A3 @ A2 )
% 1.52/1.27 & ! [A4: A0,A5: A0] :
% 1.52/1.27 ( ( ( 'const/sets/IN' @ A0 @ A4 @ A3 )
% 1.52/1.27 & ( 'const/sets/IN' @ A0 @ A5 @ A3 ) )
% 1.52/1.27 => ( ( ( A1 @ A4 )
% 1.52/1.27 = ( A1 @ A5 ) )
% 1.52/1.27 = ( A4 = A5 ) ) )
% 1.52/1.27 & ( P @ ( 'const/sets/IMAGE' @ A0 @ A @ A1 @ A3 ) ) ) ) ) ).
% 1.52/1.27 ------------------------
% 1.52/1.28 % (5447)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/275Mi)
% 1.52/1.28 % (5446)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/2Mi)
% 1.52/1.28 % Exception at run slice level
% 1.52/1.28 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.52/1.28 % (5444)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/27Mi)
% 1.52/1.29 % (5443)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/4Mi)
% 1.52/1.29 % (5442)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/183Mi)
% 1.52/1.29 % (5445)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/2Mi)
% 1.52/1.29 % (5448)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/18Mi)
% 1.52/1.29 % (5445)Instruction limit reached!
% 1.52/1.29 % (5445)------------------------------
% 1.52/1.29 % (5445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.29 % (5445)Termination reason: Unknown
% 1.52/1.29 % (5445)Termination phase: Property scanning
% 1.52/1.29
% 1.52/1.29 % (5445)Memory used [KB]: 1023
% 1.52/1.29 % (5445)Time elapsed: 0.003 s
% 1.52/1.29 % (5445)Instructions burned: 2 (million)
% 1.52/1.29 % (5445)------------------------------
% 1.52/1.29 % (5445)------------------------------
% 1.52/1.29 % (5443)Instruction limit reached!
% 1.52/1.29 % (5443)------------------------------
% 1.52/1.29 % (5443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.29 % (5443)Termination reason: Unknown
% 1.52/1.29 % (5443)Termination phase: Property scanning
% 1.52/1.29
% 1.52/1.29 % (5443)Memory used [KB]: 1023
% 1.52/1.29 % (5443)Time elapsed: 0.004 s
% 1.52/1.29 % (5443)Instructions burned: 4 (million)
% 1.52/1.29 % (5443)------------------------------
% 1.52/1.29 % (5443)------------------------------
% 1.52/1.29 % (5449)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/3Mi)
% 1.52/1.29 % (5449)Instruction limit reached!
% 1.52/1.29 % (5449)------------------------------
% 1.52/1.29 % (5449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.29 % (5449)Termination reason: Unknown
% 1.52/1.29 % (5449)Termination phase: Saturation
% 1.52/1.29
% 1.52/1.29 % (5449)Memory used [KB]: 5500
% 1.52/1.29 % (5449)Time elapsed: 0.003 s
% 1.52/1.29 % (5449)Instructions burned: 4 (million)
% 1.52/1.29 % (5449)------------------------------
% 1.52/1.29 % (5449)------------------------------
% 1.52/1.30 % (5444)Instruction limit reached!
% 1.52/1.30 % (5444)------------------------------
% 1.52/1.30 % (5444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.30 % (5444)Termination reason: Unknown
% 1.52/1.30 % (5444)Termination phase: Saturation
% 1.52/1.30
% 1.52/1.30 % (5444)Memory used [KB]: 5756
% 1.52/1.30 % (5444)Time elapsed: 0.015 s
% 1.52/1.30 % (5444)Instructions burned: 28 (million)
% 1.52/1.30 % (5444)------------------------------
% 1.52/1.30 % (5444)------------------------------
% 1.67/1.30 % (5448)Instruction limit reached!
% 1.67/1.30 % (5448)------------------------------
% 1.67/1.30 % (5448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.30 % (5448)Termination reason: Unknown
% 1.67/1.30 % (5448)Termination phase: Saturation
% 1.67/1.30
% 1.67/1.30 % (5448)Memory used [KB]: 5628
% 1.67/1.30 % (5448)Time elapsed: 0.014 s
% 1.67/1.30 % (5448)Instructions burned: 19 (million)
% 1.67/1.30 % (5448)------------------------------
% 1.67/1.30 % (5448)------------------------------
% 1.67/1.30 % (5452)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/3Mi)
% 1.67/1.30 % (5452)Instruction limit reached!
% 1.67/1.30 % (5452)------------------------------
% 1.67/1.30 % (5452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.30 % (5452)Termination reason: Unknown
% 1.67/1.30 % (5452)Termination phase: Saturation
% 1.67/1.30
% 1.67/1.30 % (5452)Memory used [KB]: 5500
% 1.67/1.30 % (5452)Time elapsed: 0.003 s
% 1.67/1.30 % (5452)Instructions burned: 4 (million)
% 1.67/1.30 % (5452)------------------------------
% 1.67/1.30 % (5452)------------------------------
% 1.67/1.31 % (5450)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/37Mi)
% 1.67/1.31 % (5451)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/15Mi)
% 1.67/1.31 % Exception at run slice level
% 1.67/1.31 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.31 % (5453)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/1041Mi)
% 1.67/1.31 % Exception at run slice level
% 1.67/1.31 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.31 % (5455)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/16Mi)
% 1.67/1.32 % (5451)Instruction limit reached!
% 1.67/1.32 % (5451)------------------------------
% 1.67/1.32 % (5451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.32 % (5451)Termination reason: Unknown
% 1.67/1.32 % (5451)Termination phase: Saturation
% 1.67/1.32
% 1.67/1.32 % (5451)Memory used [KB]: 5628
% 1.67/1.32 % (5451)Time elapsed: 0.011 s
% 1.67/1.32 % (5451)Instructions burned: 15 (million)
% 1.67/1.32 % (5451)------------------------------
% 1.67/1.32 % (5451)------------------------------
% 1.67/1.32 % (5454)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/7Mi)
% 1.67/1.32 % (5457)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/3Mi)
% 1.67/1.32 % (5457)Instruction limit reached!
% 1.67/1.32 % (5457)------------------------------
% 1.67/1.32 % (5457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.32 % (5457)Termination reason: Unknown
% 1.67/1.32 % (5457)Termination phase: Property scanning
% 1.67/1.32
% 1.67/1.32 % (5457)Memory used [KB]: 1023
% 1.67/1.32 % (5457)Time elapsed: 0.003 s
% 1.67/1.32 % (5457)Instructions burned: 4 (million)
% 1.67/1.32 % (5457)------------------------------
% 1.67/1.32 % (5457)------------------------------
% 1.67/1.32 % (5455)Instruction limit reached!
% 1.67/1.32 % (5455)------------------------------
% 1.67/1.32 % (5455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.32 % (5455)Termination reason: Unknown
% 1.67/1.32 % (5455)Termination phase: Saturation
% 1.67/1.32
% 1.67/1.32 % (5455)Memory used [KB]: 5500
% 1.67/1.32 % (5455)Time elapsed: 0.007 s
% 1.67/1.32 % (5455)Instructions burned: 17 (million)
% 1.67/1.32 % (5455)------------------------------
% 1.67/1.32 % (5455)------------------------------
% 1.67/1.32 % (5454)Instruction limit reached!
% 1.67/1.32 % (5454)------------------------------
% 1.67/1.32 % (5454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.32 % (5454)Termination reason: Unknown
% 1.67/1.32 % (5454)Termination phase: Saturation
% 1.67/1.32
% 1.67/1.32 % (5454)Memory used [KB]: 1023
% 1.67/1.32 % (5454)Time elapsed: 0.006 s
% 1.67/1.32 % (5454)Instructions burned: 7 (million)
% 1.67/1.32 % (5454)------------------------------
% 1.67/1.32 % (5454)------------------------------
% 1.67/1.33 % (5456)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/3Mi)
% 1.67/1.33 % (5456)Instruction limit reached!
% 1.67/1.33 % (5456)------------------------------
% 1.67/1.33 % (5456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.33 % (5456)Termination reason: Unknown
% 1.67/1.33 % (5456)Termination phase: Twee Goal Transformation
% 1.67/1.33
% 1.67/1.33 % (5456)Memory used [KB]: 1023
% 1.67/1.33 % (5456)Time elapsed: 0.004 s
% 1.67/1.33 % (5456)Instructions burned: 4 (million)
% 1.67/1.33 % (5456)------------------------------
% 1.67/1.33 % (5456)------------------------------
% 1.67/1.33 % (5459)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/3Mi)
% 1.67/1.33 % (5460)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/4Mi)
% 1.67/1.33 % Exception at run slice level
% 1.67/1.33 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.33 % (5460)Instruction limit reached!
% 1.67/1.33 % (5460)------------------------------
% 1.67/1.33 % (5460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.33 % (5460)Termination reason: Unknown
% 1.67/1.33 % (5460)Termination phase: Saturation
% 1.67/1.33
% 1.67/1.33 % (5460)Memory used [KB]: 5500
% 1.67/1.33 % (5460)Time elapsed: 0.003 s
% 1.67/1.33 % (5460)Instructions burned: 4 (million)
% 1.67/1.33 % (5460)------------------------------
% 1.67/1.33 % (5460)------------------------------
% 1.67/1.33 % (5458)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/7Mi)
% 1.67/1.34 % (5458)Instruction limit reached!
% 1.67/1.34 % (5458)------------------------------
% 1.67/1.34 % (5458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.34 % (5458)Termination reason: Unknown
% 1.67/1.34 % (5458)Termination phase: Saturation
% 1.67/1.34
% 1.67/1.34 % (5458)Memory used [KB]: 5500
% 1.67/1.34 % (5458)Time elapsed: 0.006 s
% 1.67/1.34 % (5458)Instructions burned: 7 (million)
% 1.67/1.34 % (5458)------------------------------
% 1.67/1.34 % (5458)------------------------------
% 1.67/1.34 % (5461)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/18Mi)
% 1.67/1.34 % (5463)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/6Mi)
% 1.67/1.34 % (5464)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/902Mi)
% 1.67/1.34 % (5463)Instruction limit reached!
% 1.67/1.34 % (5463)------------------------------
% 1.67/1.34 % (5463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.34 % (5463)Termination reason: Unknown
% 1.67/1.34 % (5463)Termination phase: Saturation
% 1.67/1.34
% 1.67/1.34 % (5463)Memory used [KB]: 5500
% 1.67/1.34 % (5463)Time elapsed: 0.004 s
% 1.67/1.34 % (5463)Instructions burned: 7 (million)
% 1.67/1.34 % (5463)------------------------------
% 1.67/1.34 % (5463)------------------------------
% 1.67/1.34 % (5462)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/710Mi)
% 1.67/1.35 % (5461)Instruction limit reached!
% 1.67/1.35 % (5461)------------------------------
% 1.67/1.35 % (5461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.35 % (5461)Termination reason: Unknown
% 1.67/1.35 % (5461)Termination phase: Saturation
% 1.67/1.35
% 1.67/1.35 % (5461)Memory used [KB]: 5628
% 1.67/1.35 % (5461)Time elapsed: 0.012 s
% 1.67/1.35 % (5461)Instructions burned: 18 (million)
% 1.67/1.35 % (5461)------------------------------
% 1.67/1.35 % (5461)------------------------------
% 1.67/1.35 % (5466)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/5Mi)
% 1.67/1.35 % Exception at run slice level
% 1.67/1.35 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.36 % (5465)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/21Mi)
% 1.67/1.36 % (5447)Instruction limit reached!
% 1.67/1.36 % (5447)------------------------------
% 1.67/1.36 % (5447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.36 % (5447)Termination reason: Unknown
% 1.67/1.36 % (5447)Termination phase: Saturation
% 1.67/1.36
% 1.67/1.36 % (5447)Memory used [KB]: 6012
% 1.67/1.36 % (5447)Time elapsed: 0.082 s
% 1.67/1.36 % (5447)Instructions burned: 275 (million)
% 1.67/1.36 % (5447)------------------------------
% 1.67/1.36 % (5447)------------------------------
% 1.67/1.36 % (5468)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/377Mi)
% 1.67/1.37 % (5467)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/6Mi)
% 1.67/1.37 % Exception at run slice level
% 1.67/1.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.37 % (5465)Instruction limit reached!
% 1.67/1.37 % (5465)------------------------------
% 1.67/1.37 % (5465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.37 % (5465)Termination reason: Unknown
% 1.67/1.37 % (5465)Termination phase: Saturation
% 1.67/1.37
% 1.67/1.37 % (5465)Memory used [KB]: 5628
% 1.67/1.37 % (5465)Time elapsed: 0.016 s
% 1.67/1.37 % (5465)Instructions burned: 22 (million)
% 1.67/1.37 % (5465)------------------------------
% 1.67/1.37 % (5465)------------------------------
% 1.67/1.37 % (5469)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/779Mi)
% 1.67/1.37 % Exception at run slice level
% 1.67/1.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.38 % (5472)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/17Mi)
% 1.67/1.38 % (5470)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/19Mi)
% 1.67/1.38 % Exception at run slice level
% 1.67/1.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.39 % (5472)Instruction limit reached!
% 1.67/1.39 % (5472)------------------------------
% 1.67/1.39 % (5472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.39 % (5472)Termination reason: Unknown
% 1.67/1.39 % (5472)Termination phase: Saturation
% 1.67/1.39
% 1.67/1.39 % (5472)Memory used [KB]: 5628
% 1.67/1.39 % (5472)Time elapsed: 0.007 s
% 1.67/1.39 % (5472)Instructions burned: 18 (million)
% 1.67/1.39 % (5472)------------------------------
% 1.67/1.39 % (5472)------------------------------
% 1.67/1.39 % (5471)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/879Mi)
% 1.67/1.39 % (5473)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2999ds/3Mi)
% 1.67/1.39 % (5473)Instruction limit reached!
% 1.67/1.39 % (5473)------------------------------
% 1.67/1.39 % (5473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.39 % (5473)Termination reason: Unknown
% 1.67/1.39 % (5473)Termination phase: Saturation
% 1.67/1.39
% 1.67/1.39 % (5473)Memory used [KB]: 1023
% 1.67/1.39 % (5473)Time elapsed: 0.003 s
% 1.67/1.39 % (5473)Instructions burned: 5 (million)
% 1.67/1.39 % (5473)------------------------------
% 1.67/1.39 % (5473)------------------------------
% 1.67/1.40 % (5442)Instruction limit reached!
% 1.67/1.40 % (5442)------------------------------
% 1.67/1.40 % (5442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.40 % (5442)Termination reason: Unknown
% 1.67/1.40 % (5442)Termination phase: Saturation
% 1.67/1.40
% 1.67/1.40 % (5442)Memory used [KB]: 5884
% 1.67/1.40 % (5442)Time elapsed: 0.109 s
% 1.67/1.40 % (5442)Instructions burned: 185 (million)
% 1.67/1.40 % (5442)------------------------------
% 1.67/1.40 % (5442)------------------------------
% 1.67/1.40 % (5475)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/127Mi)
% 1.67/1.40 % (5474)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/30Mi)
% 1.67/1.41 % (5476)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/100Mi)
% 1.67/1.42 % (5474)Instruction limit reached!
% 1.67/1.42 % (5474)------------------------------
% 1.67/1.42 % (5474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.42 % (5474)Termination reason: Unknown
% 1.67/1.42 % (5474)Termination phase: Saturation
% 1.67/1.42
% 1.67/1.42 % (5474)Memory used [KB]: 5628
% 1.67/1.42 % (5474)Time elapsed: 0.042 s
% 1.67/1.42 % (5474)Instructions burned: 30 (million)
% 1.67/1.42 % (5474)------------------------------
% 1.67/1.42 % (5474)------------------------------
% 1.67/1.44 % (5476)Instruction limit reached!
% 1.67/1.44 % (5476)------------------------------
% 1.67/1.44 % (5476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (5476)Termination reason: Unknown
% 1.67/1.44 % (5476)Termination phase: Saturation
% 1.67/1.44
% 1.67/1.44 % (5476)Memory used [KB]: 6012
% 1.67/1.44 % (5476)Time elapsed: 0.036 s
% 1.67/1.44 % (5476)Instructions burned: 101 (million)
% 1.67/1.44 % (5476)------------------------------
% 1.67/1.44 % (5476)------------------------------
% 1.67/1.44 % (5477)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/3Mi)
% 1.67/1.44 % Exception at run slice level
% 1.67/1.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.45 % (5475)Instruction limit reached!
% 1.67/1.45 % (5475)------------------------------
% 1.67/1.45 % (5475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.45 % (5475)Termination reason: Unknown
% 1.67/1.45 % (5475)Termination phase: Saturation
% 1.67/1.45
% 1.67/1.45 % (5475)Memory used [KB]: 5884
% 1.67/1.45 % (5475)Time elapsed: 0.045 s
% 1.67/1.45 % (5475)Instructions burned: 127 (million)
% 1.67/1.45 % (5475)------------------------------
% 1.67/1.45 % (5475)------------------------------
% 1.67/1.45 % (5478)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/20Mi)
% 1.67/1.46 % (5478)Instruction limit reached!
% 1.67/1.46 % (5478)------------------------------
% 1.67/1.46 % (5478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (5478)Termination reason: Unknown
% 1.67/1.46 % (5478)Termination phase: Saturation
% 1.67/1.46
% 1.67/1.46 % (5478)Memory used [KB]: 5628
% 1.67/1.46 % (5478)Time elapsed: 0.009 s
% 1.67/1.46 % (5478)Instructions burned: 21 (million)
% 1.67/1.46 % (5478)------------------------------
% 1.67/1.46 % (5478)------------------------------
% 1.67/1.46 % (5479)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/86Mi)
% 1.67/1.46 % (5480)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/107Mi)
% 1.67/1.47 % (5481)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/39Mi)
% 1.67/1.47 % Exception at run slice level
% 1.67/1.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.48 % (5482)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_5169 for (2998ds/448Mi)
% 1.67/1.48 % Exception at run slice level
% 1.67/1.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.49 % (5483)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/46Mi)
% 1.67/1.49 % (5468)Instruction limit reached!
% 1.67/1.49 % (5468)------------------------------
% 1.67/1.49 % (5468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.49 % (5468)Termination reason: Unknown
% 1.67/1.49 % (5468)Termination phase: Saturation
% 1.67/1.49
% 1.67/1.49 % (5468)Memory used [KB]: 6268
% 1.67/1.49 % (5468)Time elapsed: 0.127 s
% 1.67/1.49 % (5468)Instructions burned: 378 (million)
% 1.67/1.49 % (5468)------------------------------
% 1.67/1.49 % (5468)------------------------------
% 1.67/1.49 % (5479)Instruction limit reached!
% 1.67/1.49 % (5479)------------------------------
% 1.67/1.49 % (5479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.49 % (5479)Termination reason: Unknown
% 1.67/1.49 % (5479)Termination phase: Saturation
% 1.67/1.49
% 1.67/1.49 % (5479)Memory used [KB]: 5884
% 1.67/1.49 % (5479)Time elapsed: 0.038 s
% 1.67/1.49 % (5479)Instructions burned: 86 (million)
% 1.67/1.49 % (5479)------------------------------
% 1.67/1.49 % (5479)------------------------------
% 1.67/1.50 % (5480)Instruction limit reached!
% 1.67/1.50 % (5480)------------------------------
% 1.67/1.50 % (5480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.50 % (5480)Termination reason: Unknown
% 1.67/1.50 % (5480)Termination phase: Saturation
% 1.67/1.50
% 1.67/1.50 % (5480)Memory used [KB]: 5884
% 1.67/1.50 % (5480)Time elapsed: 0.039 s
% 1.67/1.50 % (5480)Instructions burned: 109 (million)
% 1.67/1.50 % (5480)------------------------------
% 1.67/1.50 % (5480)------------------------------
% 1.67/1.50 % (5484)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/98Mi)
% 1.67/1.50 % Exception at run slice level
% 1.67/1.50 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.50 % (5485)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/507Mi)
% 1.67/1.50 % (5483)Instruction limit reached!
% 1.67/1.50 % (5483)------------------------------
% 1.67/1.50 % (5483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.50 % (5483)Termination reason: Unknown
% 1.67/1.50 % (5483)Termination phase: Saturation
% 1.67/1.50
% 1.67/1.50 % (5483)Memory used [KB]: 5756
% 1.67/1.50 % (5483)Time elapsed: 0.018 s
% 1.67/1.50 % (5483)Instructions burned: 47 (million)
% 1.67/1.50 % (5483)------------------------------
% 1.67/1.50 % (5483)------------------------------
% 1.67/1.51 % (5486)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/149Mi)
% 1.67/1.51 % (5487)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/39Mi)
% 1.67/1.51 % (5485)Refutation not found, incomplete strategy
% 1.67/1.51 % (5485)------------------------------
% 1.67/1.51 % (5485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.51 % (5485)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.51
% 1.67/1.51
% 1.67/1.51 % (5485)Memory used [KB]: 5628
% 1.67/1.51 % (5485)Time elapsed: 0.009 s
% 1.67/1.51 % (5485)Instructions burned: 18 (million)
% 1.67/1.51 % (5485)------------------------------
% 1.67/1.51 % (5485)------------------------------
% 1.67/1.51 % (5488)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/6Mi)
% 1.67/1.51 % Exception at run slice level
% 1.67/1.51 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.52 % (5489)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/1087Mi)
% 1.67/1.52 % (5487)Instruction limit reached!
% 1.67/1.52 % (5487)------------------------------
% 1.67/1.52 % (5487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.52 % (5487)Termination reason: Unknown
% 1.67/1.52 % (5487)Termination phase: Saturation
% 1.67/1.52
% 1.67/1.52 % (5487)Memory used [KB]: 5756
% 1.67/1.52 % (5487)Time elapsed: 0.015 s
% 1.67/1.52 % (5487)Instructions burned: 40 (million)
% 1.67/1.52 % (5487)------------------------------
% 1.67/1.52 % (5487)------------------------------
% 1.67/1.52 % (5490)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/47Mi)
% 1.67/1.53 % (5491)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/44Mi)
% 1.67/1.53 % Exception at run slice level
% 1.67/1.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.54 % (5490)Instruction limit reached!
% 1.67/1.54 % (5490)------------------------------
% 1.67/1.54 % (5490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.54 % (5490)Termination reason: Unknown
% 1.67/1.54 % (5490)Termination phase: Saturation
% 1.67/1.54
% 1.67/1.54 % (5490)Memory used [KB]: 5628
% 1.67/1.54 % (5490)Time elapsed: 0.016 s
% 1.67/1.54 % (5490)Instructions burned: 47 (million)
% 1.67/1.54 % (5490)------------------------------
% 1.67/1.54 % (5490)------------------------------
% 1.67/1.54 % (5492)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/432Mi)
% 1.67/1.54 % Exception at run slice level
% 1.67/1.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.55 % (5493)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/62Mi)
% 1.67/1.55 % Exception at run slice level
% 1.67/1.55 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.55 % (5494)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/31Mi)
% 1.67/1.56 % (5486)Instruction limit reached!
% 1.67/1.56 % (5486)------------------------------
% 1.67/1.56 % (5486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.56 % (5486)Termination reason: Unknown
% 1.67/1.56 % (5486)Termination phase: Saturation
% 1.67/1.56
% 1.67/1.56 % (5486)Memory used [KB]: 6012
% 1.67/1.56 % (5486)Time elapsed: 0.053 s
% 1.67/1.56 % (5486)Instructions burned: 150 (million)
% 1.67/1.56 % (5486)------------------------------
% 1.67/1.56 % (5486)------------------------------
% 1.67/1.56 % (5495)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/96Mi)
% 1.67/1.56 % (5494)Instruction limit reached!
% 1.67/1.56 % (5494)------------------------------
% 1.67/1.56 % (5494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.56 % (5494)Termination reason: Unknown
% 1.67/1.56 % (5494)Termination phase: Saturation
% 1.67/1.56
% 1.67/1.56 % (5494)Memory used [KB]: 5628
% 1.67/1.56 % (5494)Time elapsed: 0.013 s
% 1.67/1.56 % (5494)Instructions burned: 33 (million)
% 1.67/1.56 % (5494)------------------------------
% 1.67/1.56 % (5494)------------------------------
% 1.67/1.57 % (5496)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/453Mi)
% 1.67/1.57 % Exception at run slice level
% 1.67/1.57 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.57 % (5497)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/71Mi)
% 1.67/1.58 % (5498)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5169 for (2997ds/83Mi)
% 1.67/1.59 % (5495)Instruction limit reached!
% 1.67/1.59 % (5495)------------------------------
% 1.67/1.59 % (5495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.59 % (5495)Termination reason: Unknown
% 1.67/1.59 % (5495)Termination phase: Saturation
% 1.67/1.59
% 1.67/1.59 % (5495)Memory used [KB]: 5756
% 1.67/1.59 % (5495)Time elapsed: 0.035 s
% 1.67/1.59 % (5495)Instructions burned: 97 (million)
% 1.67/1.59 % (5495)------------------------------
% 1.67/1.59 % (5495)------------------------------
% 1.67/1.60 % (5497)Instruction limit reached!
% 1.67/1.60 % (5497)------------------------------
% 1.67/1.60 % (5497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.60 % (5497)Termination reason: Unknown
% 1.67/1.60 % (5497)Termination phase: Saturation
% 1.67/1.60
% 1.67/1.60 % (5497)Memory used [KB]: 5756
% 1.67/1.60 % (5497)Time elapsed: 0.026 s
% 1.67/1.60 % (5497)Instructions burned: 71 (million)
% 1.67/1.60 % (5497)------------------------------
% 1.67/1.60 % (5497)------------------------------
% 1.67/1.60 % (5499)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/11Mi)
% 1.67/1.60 % (5462)Instruction limit reached!
% 1.67/1.60 % (5462)------------------------------
% 1.67/1.60 % (5462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.60 % (5462)Termination reason: Unknown
% 1.67/1.60 % (5462)Termination phase: Saturation
% 1.67/1.60
% 1.67/1.60 % (5462)Memory used [KB]: 7036
% 1.67/1.60 % (5462)Time elapsed: 0.260 s
% 1.67/1.60 % (5462)Instructions burned: 712 (million)
% 1.67/1.60 % (5462)------------------------------
% 1.67/1.60 % (5462)------------------------------
% 1.67/1.60 % Exception at run slice level
% 1.67/1.60 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.61 % (5498)Instruction limit reached!
% 1.67/1.61 % (5498)------------------------------
% 1.67/1.61 % (5498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.61 % (5498)Termination reason: Unknown
% 1.67/1.61 % (5498)Termination phase: Saturation
% 1.67/1.61
% 1.67/1.61 % (5498)Memory used [KB]: 5884
% 1.67/1.61 % (5498)Time elapsed: 0.030 s
% 1.67/1.61 % (5498)Instructions burned: 83 (million)
% 1.67/1.61 % (5498)------------------------------
% 1.67/1.61 % (5498)------------------------------
% 1.67/1.61 % (5464)Instruction limit reached!
% 1.67/1.61 % (5464)------------------------------
% 1.67/1.61 % (5464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.61 % (5464)Termination reason: Unknown
% 1.67/1.61 % (5464)Termination phase: Saturation
% 1.67/1.61
% 1.67/1.61 % (5464)Memory used [KB]: 6652
% 1.67/1.61 % (5464)Time elapsed: 0.267 s
% 1.67/1.61 % (5464)Instructions burned: 905 (million)
% 1.67/1.61 % (5464)------------------------------
% 1.67/1.61 % (5464)------------------------------
% 1.67/1.61 % (5500)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/41Mi)
% 1.67/1.61 % Exception at run slice level
% 1.67/1.61 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.61 % (5501)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/6Mi)
% 1.67/1.61 % (5502)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/150Mi)
% 1.67/1.62 % (5501)Instruction limit reached!
% 1.67/1.62 % (5501)------------------------------
% 1.67/1.62 % (5501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.62 % (5501)Termination reason: Unknown
% 1.67/1.62 % (5501)Termination phase: Saturation
% 1.67/1.62
% 1.67/1.62 % (5501)Memory used [KB]: 5500
% 1.67/1.62 % (5501)Time elapsed: 0.004 s
% 1.67/1.62 % (5501)Instructions burned: 7 (million)
% 1.67/1.62 % (5501)------------------------------
% 1.67/1.62 % (5501)------------------------------
% 1.67/1.62 % (5504)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/109Mi)
% 1.67/1.62 % (5506)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/253Mi)
% 1.67/1.62 % (5503)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/343Mi)
% 1.67/1.63 % (5507)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/140Mi)
% 1.67/1.65 % (5504)Instruction limit reached!
% 1.67/1.65 % (5504)------------------------------
% 1.67/1.65 % (5504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.65 % (5504)Termination reason: Unknown
% 1.67/1.65 % (5504)Termination phase: Saturation
% 1.67/1.65
% 1.67/1.65 % (5504)Memory used [KB]: 5884
% 1.67/1.65 % (5504)Time elapsed: 0.037 s
% 1.67/1.65 % (5504)Instructions burned: 109 (million)
% 1.67/1.65 % (5504)------------------------------
% 1.67/1.65 % (5504)------------------------------
% 1.67/1.66 % (5508)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/614Mi)
% 1.67/1.67 % (5502)Instruction limit reached!
% 1.67/1.67 % (5502)------------------------------
% 1.67/1.67 % (5502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.67 % (5502)Termination reason: Unknown
% 1.67/1.67 % (5502)Termination phase: Saturation
% 1.67/1.67
% 1.67/1.67 % (5502)Memory used [KB]: 6012
% 1.67/1.67 % (5502)Time elapsed: 0.054 s
% 1.67/1.67 % (5502)Instructions burned: 150 (million)
% 1.67/1.67 % (5502)------------------------------
% 1.67/1.67 % (5502)------------------------------
% 1.67/1.67 % (5471)Instruction limit reached!
% 1.67/1.67 % (5471)------------------------------
% 1.67/1.67 % (5471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.67 % (5471)Termination reason: Unknown
% 1.67/1.67 % (5471)Termination phase: Saturation
% 1.67/1.67
% 1.67/1.67 % (5471)Memory used [KB]: 6908
% 1.67/1.67 % (5471)Time elapsed: 0.302 s
% 1.67/1.67 % (5471)Instructions burned: 879 (million)
% 1.67/1.67 % (5471)------------------------------
% 1.67/1.67 % (5471)------------------------------
% 1.67/1.67 % (5507)Instruction limit reached!
% 1.67/1.67 % (5507)------------------------------
% 1.67/1.67 % (5507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.67 % (5507)Termination reason: Unknown
% 1.67/1.67 % (5507)Termination phase: Saturation
% 1.67/1.67
% 1.67/1.67 % (5507)Memory used [KB]: 6012
% 1.67/1.67 % (5507)Time elapsed: 0.045 s
% 1.67/1.67 % (5507)Instructions burned: 142 (million)
% 1.67/1.67 % (5507)------------------------------
% 1.67/1.67 % (5507)------------------------------
% 1.67/1.68 % (5509)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/202Mi)
% 1.67/1.68 % (5510)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/339Mi)
% 1.67/1.68 % (5511)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/283Mi)
% 1.67/1.68 % Exception at run slice level
% 1.67/1.68 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.69 % (5512)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5169 for (2996ds/134Mi)
% 1.67/1.70 % (5506)Instruction limit reached!
% 1.67/1.70 % (5506)------------------------------
% 1.67/1.70 % (5506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.70 % (5506)Termination reason: Unknown
% 1.67/1.70 % (5506)Termination phase: Saturation
% 1.67/1.70
% 1.67/1.70 % (5506)Memory used [KB]: 6140
% 1.67/1.70 % (5506)Time elapsed: 0.082 s
% 1.67/1.70 % (5506)Instructions burned: 253 (million)
% 1.67/1.70 % (5506)------------------------------
% 1.67/1.70 % (5506)------------------------------
% 1.67/1.71 % (5513)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/298Mi)
% 1.67/1.71 % Exception at run slice level
% 1.67/1.71 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.72 % (5514)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/192Mi)
% 1.67/1.74 % (5512)Instruction limit reached!
% 1.67/1.74 % (5512)------------------------------
% 1.67/1.74 % (5512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.74 % (5512)Termination reason: Unknown
% 1.67/1.74 % (5512)Termination phase: Saturation
% 1.67/1.74
% 1.67/1.74 % (5512)Memory used [KB]: 6012
% 1.67/1.74 % (5512)Time elapsed: 0.069 s
% 1.67/1.74 % (5512)Instructions burned: 134 (million)
% 1.67/1.74 % (5512)------------------------------
% 1.67/1.74 % (5512)------------------------------
% 1.67/1.74 % (5509)Instruction limit reached!
% 1.67/1.74 % (5509)------------------------------
% 1.67/1.74 % (5509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.74 % (5509)Termination reason: Unknown
% 1.67/1.74 % (5509)Termination phase: Saturation
% 1.67/1.74
% 1.67/1.74 % (5509)Memory used [KB]: 6396
% 1.67/1.74 % (5509)Time elapsed: 0.065 s
% 1.67/1.74 % (5509)Instructions burned: 202 (million)
% 1.67/1.74 % (5509)------------------------------
% 1.67/1.74 % (5509)------------------------------
% 1.67/1.75 % (5515)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/258Mi)
% 1.67/1.75 % (5516)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/90Mi)
% 1.67/1.75 % (5503)Instruction limit reached!
% 1.67/1.75 % (5503)------------------------------
% 1.67/1.75 % (5503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.75 % (5503)Termination reason: Unknown
% 1.67/1.75 % (5503)Termination phase: Saturation
% 1.67/1.75
% 1.67/1.75 % (5503)Memory used [KB]: 6396
% 1.67/1.75 % (5503)Time elapsed: 0.130 s
% 1.67/1.75 % (5503)Instructions burned: 345 (million)
% 1.67/1.75 % (5503)------------------------------
% 1.67/1.75 % (5503)------------------------------
% 1.67/1.76 % (5517)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/231Mi)
% 1.67/1.76 % Exception at run slice level
% 1.67/1.76 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.77 % (5518)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/458Mi)
% 1.67/1.78 % (5516)Instruction limit reached!
% 1.67/1.78 % (5516)------------------------------
% 1.67/1.78 % (5516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.78 % (5516)Termination reason: Unknown
% 1.67/1.78 % (5516)Termination phase: Saturation
% 1.67/1.78
% 1.67/1.78 % (5516)Memory used [KB]: 5884
% 1.67/1.78 % (5516)Time elapsed: 0.054 s
% 1.67/1.78 % (5516)Instructions burned: 92 (million)
% 1.67/1.78 % (5516)------------------------------
% 1.67/1.78 % (5516)------------------------------
% 1.67/1.78 % (5510)Instruction limit reached!
% 1.67/1.78 % (5510)------------------------------
% 1.67/1.78 % (5510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.78 % (5510)Termination reason: Unknown
% 1.67/1.78 % (5510)Termination phase: Saturation
% 1.67/1.78
% 1.67/1.78 % (5510)Memory used [KB]: 6396
% 1.67/1.78 % (5510)Time elapsed: 0.106 s
% 1.67/1.78 % (5510)Instructions burned: 340 (million)
% 1.67/1.78 % (5510)------------------------------
% 1.67/1.78 % (5510)------------------------------
% 1.67/1.78 % (5514)Instruction limit reached!
% 1.67/1.78 % (5514)------------------------------
% 1.67/1.78 % (5514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.78 % (5514)Termination reason: Unknown
% 1.67/1.78 % (5514)Termination phase: Saturation
% 1.67/1.78
% 1.67/1.78 % (5514)Memory used [KB]: 6012
% 1.67/1.78 % (5514)Time elapsed: 0.085 s
% 1.67/1.78 % (5514)Instructions burned: 194 (million)
% 1.67/1.78 % (5514)------------------------------
% 1.67/1.78 % (5514)------------------------------
% 1.67/1.79 % (5519)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/31Mi)
% 1.67/1.79 % (5520)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/297Mi)
% 1.67/1.79 % Exception at run slice level
% 1.67/1.79 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.79 % (5521)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_5169 for (2995ds/987Mi)
% 1.67/1.79 % Exception at run slice level
% 1.67/1.79 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.80 % (5519)Instruction limit reached!
% 1.67/1.80 % (5519)------------------------------
% 1.67/1.80 % (5519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.80 % (5519)Termination reason: Unknown
% 1.67/1.80 % (5519)Termination phase: Saturation
% 1.67/1.80
% 1.67/1.80 % (5519)Memory used [KB]: 5628
% 1.67/1.80 % (5519)Time elapsed: 0.037 s
% 1.67/1.80 % (5519)Instructions burned: 33 (million)
% 1.67/1.80 % (5519)------------------------------
% 1.67/1.80 % (5519)------------------------------
% 1.67/1.80 % (5522)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/182Mi)
% 1.67/1.80 % (5523)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/182Mi)
% 1.67/1.81 % (5524)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/154Mi)
% 1.67/1.81 % Exception at run slice level
% 1.67/1.81 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.82 % (5525)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/79Mi)
% 1.67/1.83 % (5515)Instruction limit reached!
% 1.67/1.83 % (5515)------------------------------
% 1.67/1.83 % (5515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.83 % (5515)Termination reason: Unknown
% 1.67/1.83 % (5515)Termination phase: Saturation
% 1.67/1.83
% 1.67/1.83 % (5515)Memory used [KB]: 6140
% 1.67/1.83 % (5515)Time elapsed: 0.110 s
% 1.67/1.83 % (5515)Instructions burned: 259 (million)
% 1.67/1.83 % (5515)------------------------------
% 1.67/1.83 % (5515)------------------------------
% 1.67/1.84 % (5526)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/216Mi)
% 1.67/1.84 % (5508)Instruction limit reached!
% 1.67/1.84 % (5508)------------------------------
% 1.67/1.84 % (5508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.84 % (5508)Termination reason: Unknown
% 1.67/1.84 % (5508)Termination phase: Saturation
% 1.67/1.84
% 1.67/1.84 % (5508)Memory used [KB]: 6268
% 1.67/1.84 % (5508)Time elapsed: 0.181 s
% 1.67/1.84 % (5508)Instructions burned: 615 (million)
% 1.67/1.84 % (5508)------------------------------
% 1.67/1.84 % (5508)------------------------------
% 1.67/1.84 % Exception at run slice level
% 1.67/1.84 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.84 % (5525)Instruction limit reached!
% 1.67/1.84 % (5525)------------------------------
% 1.67/1.84 % (5525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.84 % (5525)Termination reason: Unknown
% 1.67/1.84 % (5525)Termination phase: Saturation
% 1.67/1.84
% 1.67/1.84 % (5525)Memory used [KB]: 5884
% 1.67/1.84 % (5525)Time elapsed: 0.025 s
% 1.67/1.84 % (5525)Instructions burned: 80 (million)
% 1.67/1.84 % (5525)------------------------------
% 1.67/1.84 % (5525)------------------------------
% 1.67/1.85 % (5527)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/114Mi)
% 1.67/1.85 % (5528)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/922Mi)
% 1.67/1.85 % (5529)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/182Mi)
% 1.67/1.85 % Exception at run slice level
% 1.67/1.85 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.86 % (5523)Instruction limit reached!
% 1.67/1.86 % (5523)------------------------------
% 1.67/1.86 % (5523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.86 % (5523)Termination reason: Unknown
% 1.67/1.86 % (5523)Termination phase: Saturation
% 1.67/1.86
% 1.67/1.86 % (5523)Memory used [KB]: 5884
% 1.67/1.86 % (5523)Time elapsed: 0.086 s
% 1.67/1.86 % (5523)Instructions burned: 183 (million)
% 1.67/1.86 % (5523)------------------------------
% 1.67/1.86 % (5523)------------------------------
% 1.67/1.86 % (5522)Instruction limit reached!
% 1.67/1.86 % (5522)------------------------------
% 1.67/1.86 % (5522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.86 % (5522)Termination reason: Unknown
% 1.67/1.86 % (5522)Termination phase: Saturation
% 1.67/1.86
% 1.67/1.86 % (5522)Memory used [KB]: 6012
% 1.67/1.86 % (5522)Time elapsed: 0.087 s
% 1.67/1.86 % (5522)Instructions burned: 184 (million)
% 1.67/1.86 % (5522)------------------------------
% 1.67/1.86 % (5522)------------------------------
% 1.67/1.86 % (5530)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/164Mi)
% 1.67/1.87 % (5531)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/50Mi)
% 1.67/1.87 % Exception at run slice level
% 1.67/1.87 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.87 % (5489)Instruction limit reached!
% 1.67/1.87 % (5489)------------------------------
% 1.67/1.87 % (5489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.87 % (5489)Termination reason: Unknown
% 1.67/1.87 % (5489)Termination phase: Saturation
% 1.67/1.87
% 1.67/1.87 % (5489)Memory used [KB]: 7036
% 1.67/1.87 % (5489)Time elapsed: 0.350 s
% 1.67/1.87 % (5489)Instructions burned: 1088 (million)
% 1.67/1.87 % (5489)------------------------------
% 1.67/1.87 % (5489)------------------------------
% 1.67/1.87 % (5532)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/368Mi)
% 1.67/1.88 % (5530)Refutation not found, incomplete strategy
% 1.67/1.88 % (5530)------------------------------
% 1.67/1.88 % (5530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.88 % (5530)Termination reason: Refutation not found, incomplete strategy
% 1.67/1.88
% 1.67/1.88
% 1.67/1.88 % (5530)Memory used [KB]: 1151
% 1.67/1.88 % (5530)Time elapsed: 0.016 s
% 1.67/1.88 % (5530)Instructions burned: 50 (million)
% 1.67/1.88 % (5530)------------------------------
% 1.67/1.88 % (5530)------------------------------
% 1.67/1.88 % (5533)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/1021Mi)
% 1.67/1.88 % (5534)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_5169 for (2994ds/267Mi)
% 1.67/1.88 % Exception at run slice level
% 1.67/1.88 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.88 % (5527)Instruction limit reached!
% 1.67/1.88 % (5527)------------------------------
% 1.67/1.88 % (5527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.88 % (5527)Termination reason: Unknown
% 1.67/1.88 % (5527)Termination phase: Saturation
% 1.67/1.88
% 1.67/1.88 % (5527)Memory used [KB]: 6268
% 1.67/1.88 % (5527)Time elapsed: 0.034 s
% 1.67/1.88 % (5527)Instructions burned: 117 (million)
% 1.67/1.88 % (5527)------------------------------
% 1.67/1.88 % (5527)------------------------------
% 1.67/1.89 % (5535)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/204Mi)
% 1.67/1.89 % (5536)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/26Mi)
% 1.67/1.89 % Exception at run slice level
% 1.67/1.89 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.89 % (5537)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/53Mi)
% 1.67/1.89 % Exception at run slice level
% 1.67/1.89 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.90 % (5538)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/4436Mi)
% 1.67/1.90 % (5518)Instruction limit reached!
% 1.67/1.90 % (5518)------------------------------
% 1.67/1.90 % (5518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.90 % (5518)Termination reason: Unknown
% 1.67/1.90 % (5518)Termination phase: Saturation
% 1.67/1.90
% 1.67/1.90 % (5518)Memory used [KB]: 6524
% 1.67/1.90 % (5518)Time elapsed: 0.156 s
% 1.67/1.90 % (5518)Instructions burned: 458 (million)
% 1.67/1.90 % (5518)------------------------------
% 1.67/1.90 % (5518)------------------------------
% 1.67/1.90 % (5539)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/1539Mi)
% 1.67/1.91 % (5540)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/408Mi)
% 1.67/1.94 % (5535)Instruction limit reached!
% 1.67/1.94 % (5535)------------------------------
% 1.67/1.94 % (5535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.94 % (5535)Termination reason: Unknown
% 1.67/1.94 % (5535)Termination phase: Saturation
% 1.67/1.94
% 1.67/1.94 % (5535)Memory used [KB]: 6012
% 1.67/1.94 % (5535)Time elapsed: 0.058 s
% 1.67/1.94 % (5535)Instructions burned: 205 (million)
% 1.67/1.94 % (5535)------------------------------
% 1.67/1.94 % (5535)------------------------------
% 1.67/1.95 % (5541)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/5205Mi)
% 1.67/1.95 % Exception at run slice level
% 1.67/1.95 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.67/1.96 % (5542)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_5169 for (2993ds/1913Mi)
% 1.67/1.99 % (5532)Instruction limit reached!
% 1.67/1.99 % (5532)------------------------------
% 1.67/1.99 % (5532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.99 % (5532)Termination reason: Unknown
% 1.67/1.99 % (5532)Termination phase: Saturation
% 1.67/1.99
% 1.67/1.99 % (5532)Memory used [KB]: 6652
% 1.67/1.99 % (5532)Time elapsed: 0.118 s
% 1.67/1.99 % (5532)Instructions burned: 368 (million)
% 1.67/1.99 % (5532)------------------------------
% 1.67/1.99 % (5532)------------------------------
% 1.67/2.00 % (5543)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_5169 for (2992ds/4350Mi)
% 6.86/2.04 % (5540)Instruction limit reached!
% 6.86/2.04 % (5540)------------------------------
% 6.86/2.04 % (5540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.04 % (5540)Termination reason: Unknown
% 6.86/2.04 % (5540)Termination phase: Saturation
% 6.86/2.04
% 6.86/2.04 % (5540)Memory used [KB]: 6524
% 6.86/2.04 % (5540)Time elapsed: 0.128 s
% 6.86/2.04 % (5540)Instructions burned: 410 (million)
% 6.86/2.04 % (5540)------------------------------
% 6.86/2.04 % (5540)------------------------------
% 6.86/2.05 % (5544)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5169 for (2992ds/68Mi)
% 6.86/2.07 % (5544)Instruction limit reached!
% 6.86/2.07 % (5544)------------------------------
% 6.86/2.07 % (5544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.07 % (5544)Termination reason: Unknown
% 6.86/2.07 % (5544)Termination phase: Saturation
% 6.86/2.07
% 6.86/2.07 % (5544)Memory used [KB]: 5756
% 6.86/2.07 % (5544)Time elapsed: 0.023 s
% 6.86/2.07 % (5544)Instructions burned: 69 (million)
% 6.86/2.07 % (5544)------------------------------
% 6.86/2.07 % (5544)------------------------------
% 6.86/2.08 % (5545)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_5169 for (2991ds/358Mi)
% 7.56/2.12 % (5528)Instruction limit reached!
% 7.56/2.12 % (5528)------------------------------
% 7.56/2.12 % (5528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.12 % (5528)Termination reason: Unknown
% 7.56/2.12 % (5528)Termination phase: Saturation
% 7.56/2.12
% 7.56/2.13 % (5528)Memory used [KB]: 6652
% 7.56/2.13 % (5528)Time elapsed: 0.275 s
% 7.56/2.13 % (5528)Instructions burned: 924 (million)
% 7.56/2.13 % (5528)------------------------------
% 7.56/2.13 % (5528)------------------------------
% 7.56/2.13 % (5546)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_5169 for (2991ds/31Mi)
% 7.56/2.14 % (5546)Instruction limit reached!
% 7.56/2.14 % (5546)------------------------------
% 7.56/2.14 % (5546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.14 % (5546)Termination reason: Unknown
% 7.56/2.14 % (5546)Termination phase: Saturation
% 7.56/2.14
% 7.56/2.14 % (5546)Memory used [KB]: 5628
% 7.56/2.14 % (5546)Time elapsed: 0.011 s
% 7.56/2.14 % (5546)Instructions burned: 31 (million)
% 7.56/2.14 % (5546)------------------------------
% 7.56/2.14 % (5546)------------------------------
% 7.56/2.15 % (5547)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_5169 for (2991ds/279Mi)
% 7.56/2.15 % Exception at run slice level
% 7.56/2.15 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 7.56/2.16 % (5548)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_5169 for (2991ds/258Mi)
% 7.56/2.18 % (5545)Instruction limit reached!
% 7.56/2.18 % (5545)------------------------------
% 7.56/2.18 % (5545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.18 % (5545)Termination reason: Unknown
% 7.56/2.18 % (5545)Termination phase: Saturation
% 7.56/2.18
% 7.56/2.18 % (5545)Memory used [KB]: 6268
% 7.56/2.18 % (5545)Time elapsed: 0.107 s
% 7.56/2.18 % (5545)Instructions burned: 360 (million)
% 7.56/2.18 % (5545)------------------------------
% 7.56/2.18 % (5545)------------------------------
% 7.56/2.19 % (5533)Instruction limit reached!
% 7.56/2.19 % (5533)------------------------------
% 7.56/2.19 % (5533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.19 % (5533)Termination reason: Unknown
% 7.56/2.19 % (5533)Termination phase: Saturation
% 7.56/2.19
% 7.56/2.19 % (5533)Memory used [KB]: 7164
% 7.56/2.19 % (5533)Time elapsed: 0.313 s
% 7.56/2.19 % (5533)Instructions burned: 1023 (million)
% 7.56/2.19 % (5533)------------------------------
% 7.56/2.19 % (5533)------------------------------
% 7.56/2.19 % (5549)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/26Mi)
% 7.56/2.19 % Exception at run slice level
% 7.56/2.19 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.08/2.20 % (5550)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/995Mi)
% 8.08/2.20 % Exception at run slice level
% 8.08/2.20 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.08/2.20 % (5551)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/373Mi)
% 8.08/2.21 % (5552)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/253Mi)
% 8.08/2.21 % Exception at run slice level
% 8.08/2.21 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.08/2.22 % (5553)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/832Mi)
% 8.08/2.24 % (5548)Instruction limit reached!
% 8.08/2.24 % (5548)------------------------------
% 8.08/2.24 % (5548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.08/2.24 % (5548)Termination reason: Unknown
% 8.08/2.24 % (5548)Termination phase: Saturation
% 8.08/2.24
% 8.08/2.24 % (5548)Memory used [KB]: 6396
% 8.08/2.24 % (5548)Time elapsed: 0.082 s
% 8.08/2.24 % (5548)Instructions burned: 259 (million)
% 8.08/2.24 % (5548)------------------------------
% 8.08/2.24 % (5548)------------------------------
% 8.08/2.25 % (5554)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/668Mi)
% 8.08/2.25 % Exception at run slice level
% 8.08/2.25 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.08/2.26 % (5555)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/40Mi)
% 8.08/2.26 % Exception at run slice level
% 8.08/2.26 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.08/2.27 % (5556)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/294Mi)
% 8.08/2.27 % Exception at run slice level
% 8.08/2.27 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.08/2.28 % (5557)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_5169 for (2990ds/187Mi)
% 8.08/2.29 % (5553)First to succeed.
% 8.61/2.30 % (5553)Refutation found. Thanks to Tanya!
% 8.61/2.30 % SZS status Theorem for DTF2THF_5169
% 8.61/2.30 % SZS output start Proof for DTF2THF_5169
% 8.61/2.30 thf(type_def_6, type, sK4: $tType).
% 8.61/2.30 thf(type_def_7, type, sK5: $tType).
% 8.61/2.30 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:(X0 > X0)).
% 8.61/2.30 thf(func_def_1, type, 'const/sets/SUBSET': !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 8.61/2.30 thf(func_def_2, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 8.61/2.30 thf(func_def_3, type, 'const/sets/IMAGE': !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > $o) > X1 > $o)).
% 8.61/2.30 thf(func_def_7, type, sP0: !>[X0: $tType, X1: $tType]:((X0 > $o) > ((X1 > $o) > $o) > (X0 > X1) > $o)).
% 8.61/2.30 thf(func_def_8, type, sK1: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > X1) > X0)).
% 8.61/2.30 thf(func_def_9, type, sK2: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > X1) > X0)).
% 8.61/2.30 thf(func_def_10, type, sK3: !>[X0: $tType, X1: $tType]:((X0 > $o) > ((X1 > $o) > $o) > (X0 > X1) > X0 > $o)).
% 8.61/2.30 thf(func_def_11, type, sK6: (sK4 > $o) > $o).
% 8.61/2.30 thf(func_def_12, type, sK7: sK5 > sK4).
% 8.61/2.30 thf(func_def_13, type, sK8: sK5 > $o).
% 8.61/2.30 thf(func_def_14, type, sK9: sK4 > $o).
% 8.61/2.30 thf(func_def_15, type, sK10: !>[X0: $tType, X1: $tType]:((X1 > $o) > (X1 > X0) > X1)).
% 8.61/2.30 thf(func_def_16, type, sK11: !>[X0: $tType, X1: $tType]:((X1 > $o) > (X1 > X0) > X1)).
% 8.61/2.30 thf(func_def_17, type, sK12: !>[X0: $tType, X1: $tType]:((X1 > $o) > (X0 > $o) > (X1 > X0) > X1 > $o)).
% 8.61/2.30 thf(func_def_19, type, ph14: !>[X0: $tType]:(X0)).
% 8.61/2.30 thf(f282,plain,(
% 8.61/2.30 $false),
% 8.61/2.30 inference(avatar_sat_refutation,[status(thm)],[f70,f75,f79,f164,f281])).
% 8.61/2.30 thf(f281,plain,(
% 8.61/2.30 spl13_1 | ~spl13_2 | ~spl13_3),
% 8.61/2.30 inference(avatar_contradiction_clause,[status(thm)],[f280])).
% 8.61/2.30 thf(f280,plain,(
% 8.61/2.30 $false | (spl13_1 | ~spl13_2 | ~spl13_3)),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f279,f69])).
% 8.61/2.30 thf(f69,plain,(
% 8.61/2.30 ($true = (sK6 @ sK9)) | ~spl13_2),
% 8.61/2.30 inference(avatar_component_clause,[status(thm)],[f67])).
% 8.61/2.30 thf(f67,definition,(
% 8.61/2.30 spl13_2 <=> ($true = (sK6 @ sK9))),
% 8.61/2.30 introduced(definition,[new_symbols(naming,[spl13_2])],[avatar_definition])).
% 8.61/2.30 thf(f279,plain,(
% 8.61/2.30 ($true != (sK6 @ sK9)) | (spl13_1 | ~spl13_2 | ~spl13_3)),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f278])).
% 8.61/2.30 thf(f278,plain,(
% 8.61/2.30 ($true != (sK6 @ sK9)) | ($true != $true) | (spl13_1 | ~spl13_2 | ~spl13_3)),
% 8.61/2.30 inference(superposition,[status(thm)],[f64,f274])).
% 8.61/2.30 thf(f274,plain,(
% 8.61/2.30 ( ! [X0 : (sK4 > $o) > $o] : (($true = (sP0 @ sK5 @ sK4 @ sK8 @ X0 @ sK7)) | ($true != (X0 @ sK9))) ) | (spl13_1 | ~spl13_2 | ~spl13_3)),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f267,f69])).
% 8.61/2.30 thf(f267,plain,(
% 8.61/2.30 ( ! [X0 : (sK4 > $o) > $o] : (($true != (X0 @ sK9)) | ($true != (sK6 @ sK9)) | ($true = (sP0 @ sK5 @ sK4 @ sK8 @ X0 @ sK7))) ) | (spl13_1 | ~spl13_3)),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f260])).
% 8.61/2.30 thf(f260,plain,(
% 8.61/2.30 ( ! [X0 : (sK4 > $o) > $o] : (($true != (sK6 @ sK9)) | ($true != $true) | ($true = (sP0 @ sK5 @ sK4 @ sK8 @ X0 @ sK7)) | ($true != (X0 @ sK9))) ) | (spl13_1 | ~spl13_3)),
% 8.61/2.30 inference(superposition,[status(thm)],[f259,f74])).
% 8.61/2.30 thf(f74,plain,(
% 8.61/2.30 ($true = ('const/sets/SUBSET' @ sK4 @ sK9 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ~spl13_3),
% 8.61/2.30 inference(avatar_component_clause,[status(thm)],[f72])).
% 8.61/2.30 thf(f72,definition,(
% 8.61/2.30 spl13_3 <=> ($true = ('const/sets/SUBSET' @ sK4 @ sK9 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8)))),
% 8.61/2.30 introduced(definition,[new_symbols(naming,[spl13_3])],[avatar_definition])).
% 8.61/2.30 thf(f259,plain,(
% 8.61/2.30 ( ! [X0 : sK4 > $o,X1 : (sK4 > $o) > $o] : (($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X0)) | ($true = (sP0 @ sK5 @ sK4 @ sK8 @ X1 @ sK7)) | ($true != (X1 @ X0))) ) | spl13_1),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f258])).
% 8.61/2.30 thf(f258,plain,(
% 8.61/2.30 ( ! [X0 : sK4 > $o,X1 : (sK4 > $o) > $o] : (($true != $true) | ($true != (X1 @ X0)) | ($true = (sP0 @ sK5 @ sK4 @ sK8 @ X1 @ sK7)) | ($true != (sK6 @ X0)) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8)))) ) | spl13_1),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f254])).
% 8.61/2.30 thf(f254,plain,(
% 8.61/2.30 ( ! [X0 : sK4 > $o,X1 : (sK4 > $o) > $o] : (($true = (sP0 @ sK5 @ sK4 @ sK8 @ X1 @ sK7)) | ($true != (sK6 @ X0)) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (X1 @ X0)) | ($true != $true) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8)))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f253,f46])).
% 8.61/2.30 thf(f46,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X1 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2) @ X4)) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f33,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : ((($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ! [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | (($true = ('const/sets/IN' @ X1 @ (sK10 @ X0 @ X1 @ X5 @ X2) @ X5)) & ($true = ('const/sets/IN' @ X1 @ (sK11 @ X0 @ X1 @ X5 @ X2) @ X5)) & (((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) != (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) != (sK11 @ X0 @ X1 @ X5 @ X2))) & (((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) = (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) = (sK11 @ X0 @ X1 @ X5 @ X2)))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)))) & (((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) & ! [X9 : X1,X10 : X1] : (($true != ('const/sets/IN' @ X1 @ X9 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2))) | ($true != ('const/sets/IN' @ X1 @ X10 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2))) | (((X9 = X10) | ((X2 @ X9) != (X2 @ X10))) & (((X2 @ X9) = (X2 @ X10)) | (X9 != X10)))) & ($true = ('const/sets/SUBSET' @ X1 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2) @ X4))) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))))),
% 8.61/2.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f30,f32,f31])).
% 8.61/2.30 thf(f31,plain,(
% 8.61/2.30 ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X5 : X1 > $o] : (? [X6 : X1,X7 : X1] : (($true = ('const/sets/IN' @ X1 @ X6 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & (((X2 @ X6) != (X2 @ X7)) | (X6 != X7)) & (((X2 @ X6) = (X2 @ X7)) | (X6 = X7))) => (($true = ('const/sets/IN' @ X1 @ (sK10 @ X0 @ X1 @ X5 @ X2) @ X5)) & ($true = ('const/sets/IN' @ X1 @ (sK11 @ X0 @ X1 @ X5 @ X2) @ X5)) & (((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) != (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) != (sK11 @ X0 @ X1 @ X5 @ X2))) & (((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) = (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) = (sK11 @ X0 @ X1 @ X5 @ X2)))))),
% 8.61/2.30 introduced(definition,[],[choice_axiom])).
% 8.61/2.30 thf(f32,plain,(
% 8.61/2.30 ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : (? [X8 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X8) = X3) & ! [X9 : X1,X10 : X1] : (($true != ('const/sets/IN' @ X1 @ X9 @ X8)) | ($true != ('const/sets/IN' @ X1 @ X10 @ X8)) | (((X9 = X10) | ((X2 @ X9) != (X2 @ X10))) & (((X2 @ X9) = (X2 @ X10)) | (X9 != X10)))) & ($true = ('const/sets/SUBSET' @ X1 @ X8 @ X4))) => ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) & ! [X10 : X1,X9 : X1] : (($true != ('const/sets/IN' @ X1 @ X9 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2))) | ($true != ('const/sets/IN' @ X1 @ X10 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2))) | (((X9 = X10) | ((X2 @ X9) != (X2 @ X10))) & (((X2 @ X9) = (X2 @ X10)) | (X9 != X10)))) & ($true = ('const/sets/SUBSET' @ X1 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2) @ X4))))),
% 8.61/2.30 introduced(definition,[],[choice_axiom])).
% 8.61/2.30 thf(f30,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : ((($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ! [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ? [X6 : X1,X7 : X1] : (($true = ('const/sets/IN' @ X1 @ X6 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & (((X2 @ X6) != (X2 @ X7)) | (X6 != X7)) & (((X2 @ X6) = (X2 @ X7)) | (X6 = X7))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)))) & (? [X8 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X8) = X3) & ! [X9 : X1,X10 : X1] : (($true != ('const/sets/IN' @ X1 @ X9 @ X8)) | ($true != ('const/sets/IN' @ X1 @ X10 @ X8)) | (((X9 = X10) | ((X2 @ X9) != (X2 @ X10))) & (((X2 @ X9) = (X2 @ X10)) | (X9 != X10)))) & ($true = ('const/sets/SUBSET' @ X1 @ X8 @ X4))) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))))),
% 8.61/2.30 inference(rectify,[status(thm)],[f29])).
% 8.61/2.30 thf(f29,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : ((($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ! [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ? [X6 : X1,X7 : X1] : (($true = ('const/sets/IN' @ X1 @ X6 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & (((X2 @ X6) != (X2 @ X7)) | (X6 != X7)) & (((X2 @ X6) = (X2 @ X7)) | (X6 = X7))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)))) & (? [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) = X3) & ! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | (((X6 = X7) | ((X2 @ X6) != (X2 @ X7))) & (((X2 @ X6) = (X2 @ X7)) | (X6 != X7)))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))))),
% 8.61/2.30 inference(flattening,[status(thm)],[f28])).
% 8.61/2.30 thf(f28,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : ((($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ! [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ? [X6 : X1,X7 : X1] : (($true = ('const/sets/IN' @ X1 @ X6 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & ((((X2 @ X6) != (X2 @ X7)) | (X6 != X7)) & (((X2 @ X6) = (X2 @ X7)) | (X6 = X7)))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)))) & (? [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) = X3) & ! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | (((X6 = X7) | ((X2 @ X6) != (X2 @ X7))) & (((X2 @ X6) = (X2 @ X7)) | (X6 != X7)))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))))),
% 8.61/2.30 inference(nnf_transformation,[status(thm)],[f14])).
% 8.61/2.30 thf(f14,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) <=> ? [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) = X3) & ! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ((X6 = X7) <=> ((X2 @ X6) = (X2 @ X7)))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))))),
% 8.61/2.30 inference(flattening,[status(thm)],[f13])).
% 8.61/2.30 thf(f13,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : (? [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) = X3) & ! [X6 : X1,X7 : X1] : (((X6 = X7) <=> ((X2 @ X6) = (X2 @ X7))) | (($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X6 @ X5)))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))) <=> ($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))))),
% 8.61/2.30 inference(ennf_transformation,[status(thm)],[f9])).
% 8.61/2.30 thf(f9,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : (? [X5 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) = X3) & ! [X6 : X1,X7 : X1] : ((($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X6 @ X5))) => ((X6 = X7) <=> ((X2 @ X6) = (X2 @ X7)))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))) <=> ($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))))),
% 8.61/2.30 inference(fool_elimination,[status(thm)],[f8])).
% 8.61/2.30 thf(f8,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : (? [X5 : X1 > $o] : (! [X6 : X1,X7 : X1] : ((('const/sets/IN' @ X1 @ X7 @ X5) & ('const/sets/IN' @ X1 @ X6 @ X5)) => (((X2 @ X6) = (X2 @ X7)) = (X6 = X7))) & (('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) = X3) & ('const/sets/SUBSET' @ X1 @ X5 @ X4)) = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))),
% 8.61/2.30 inference(rectify,[status(thm)],[f2])).
% 8.61/2.30 thf(f2,axiom,(
% 8.61/2.30 ! [X1 : $tType,X0 : $tType,X2 : X0 > X1,X3 : X1 > $o,X4 : X0 > $o] : (? [X5 : X0 > $o] : (! [X6 : X0,X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X5) & ('const/sets/IN' @ X0 @ X6 @ X5)) => (((X2 @ X6) = (X2 @ X7)) = (X6 = X7))) & (('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X5) = X3) & ('const/sets/SUBSET' @ X0 @ X5 @ X4)) = ('const/sets/SUBSET' @ X1 @ X3 @ ('const/sets/IMAGE' @ X0 @ X1 @ X2 @ X4)))),
% 8.61/2.30 file('/export/starexec/sandbox/tmp/tmp.aXvRLgfTa8/DTF2THF_5169.p','thm/sets/SUBSET_IMAGE_INJ_')).
% 8.61/2.30 thf(f253,plain,(
% 8.61/2.30 ( ! [X2 : sK5 > $o,X0 : sK4 > $o,X1 : (sK4 > $o) > $o] : ((('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ sK8 @ X0 @ sK7) @ X2) != $true) | ($true != (X1 @ X0)) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true = (sP0 @ sK5 @ sK4 @ X2 @ X1 @ sK7)) | ($true != (sK6 @ X0))) ) | spl13_1),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f252])).
% 8.61/2.30 thf(f252,plain,(
% 8.61/2.30 ( ! [X2 : sK5 > $o,X0 : sK4 > $o,X1 : (sK4 > $o) > $o] : ((('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ sK8 @ X0 @ sK7) @ X2) != $true) | ($true != (sK6 @ X0)) | ($true != $true) | ($true = (sP0 @ sK5 @ sK4 @ X2 @ X1 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (X1 @ X0))) ) | spl13_1),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f251])).
% 8.61/2.30 thf(f251,plain,(
% 8.61/2.30 ( ! [X2 : sK5 > $o,X0 : sK4 > $o,X1 : (sK4 > $o) > $o] : ((('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ sK8 @ X0 @ sK7) @ X2) != $true) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (X1 @ X0)) | ($true = (sP0 @ sK5 @ sK4 @ X2 @ X1 @ sK7)) | ($true != $true) | ($true != ('const/sets/SUBSET' @ sK4 @ X0 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X0))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f249,f46])).
% 8.61/2.30 thf(f249,plain,(
% 8.61/2.30 ( ! [X2 : (sK4 > $o) > $o,X3 : sK5 > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != (X2 @ X1)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X3)) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true = (sP0 @ sK5 @ sK4 @ X3 @ X2 @ sK7)) | ($true != (sK6 @ X1))) ) | spl13_1),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f224])).
% 8.61/2.30 thf(f224,plain,(
% 8.61/2.30 ( ! [X2 : (sK4 > $o) > $o,X3 : sK5 > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (($true != (sK6 @ X1)) | ($true = (sP0 @ sK5 @ sK4 @ X3 @ X2 @ sK7)) | ($true != (sK6 @ X1)) | ($true != (X2 @ X1)) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X3))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f219,f49])).
% 8.61/2.30 thf(f49,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o] : ((('const/sets/IMAGE' @ X1 @ X0 @ X2 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4)))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f219,plain,(
% 8.61/2.30 ( ! [X2 : (sK4 > $o) > $o,X3 : sK5 > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (($true != (X2 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ((sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7))) != $true) | ($true = (sP0 @ sK5 @ sK4 @ X3 @ X2 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != (sK6 @ X1)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X3))) ) | spl13_1),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f218])).
% 8.61/2.30 thf(f218,plain,(
% 8.61/2.30 ( ! [X2 : (sK4 > $o) > $o,X3 : sK5 > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (($true != (sK6 @ X1)) | ((sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7))) != $true) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) != (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) | ((sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) != (sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7))) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != (X2 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X3)) | ($true = (sP0 @ sK5 @ sK4 @ X3 @ X2 @ sK7))) ) | spl13_1),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f212])).
% 8.61/2.30 thf(f212,plain,(
% 8.61/2.30 ( ! [X2 : (sK4 > $o) > $o,X3 : sK5 > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (((sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7))) != $true) | ($true = (sP0 @ sK5 @ sK4 @ X3 @ X2 @ sK7)) | ((sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) != (sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X3)) | ($true != (X2 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) != (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) | ($true != (sK6 @ X1)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0)))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f169,f211])).
% 8.61/2.30 thf(f211,plain,(
% 8.61/2.30 ( ! [X2 : sK5 > $o,X3 : (sK4 > $o) > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) = (sK2 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) | ($true != (X3 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != (sK6 @ X1)) | ($true = (sP0 @ sK5 @ sK4 @ X2 @ X3 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X2))) ) | spl13_1),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f210,f42])).
% 8.61/2.30 thf(f42,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X1 : X0 > X2,X4 : X0 > $o,X5 : X0 > $o] : (($true = (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | (('const/sets/SUBSET' @ X0 @ X5 @ X4) != $true) | ($true = ('const/sets/IN' @ X0 @ (sK2 @ X0 @ X2 @ X5 @ X1) @ X5)) | ($true != (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X5)))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f22,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : X0 > X2,X2 : $tType,X3 : (X2 > $o) > $o,X4 : X0 > $o] : ((($true = (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | ! [X5 : X0 > $o] : ((($true = ('const/sets/IN' @ X0 @ (sK2 @ X0 @ X2 @ X5 @ X1) @ X5)) & ($true = ('const/sets/IN' @ X0 @ (sK1 @ X0 @ X2 @ X5 @ X1) @ X5)) & (((X1 @ (sK2 @ X0 @ X2 @ X5 @ X1)) != (X1 @ (sK1 @ X0 @ X2 @ X5 @ X1))) | ((sK2 @ X0 @ X2 @ X5 @ X1) != (sK1 @ X0 @ X2 @ X5 @ X1))) & (((X1 @ (sK2 @ X0 @ X2 @ X5 @ X1)) = (X1 @ (sK1 @ X0 @ X2 @ X5 @ X1))) | ((sK2 @ X0 @ X2 @ X5 @ X1) = (sK1 @ X0 @ X2 @ X5 @ X1)))) | ($true != (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X5))) | (('const/sets/SUBSET' @ X0 @ X5 @ X4) != $true))) & ((! [X9 : X0,X10 : X0] : (($true != ('const/sets/IN' @ X0 @ X10 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1))) | ($true != ('const/sets/IN' @ X0 @ X9 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1))) | (((X9 = X10) | ((X1 @ X9) != (X1 @ X10))) & (((X1 @ X9) = (X1 @ X10)) | (X9 != X10)))) & ($true = (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1)))) & ($true = ('const/sets/SUBSET' @ X0 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1) @ X4))) | ($true != (sP0 @ X0 @ X2 @ X4 @ X3 @ X1))))),
% 8.61/2.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f19,f21,f20])).
% 8.61/2.30 thf(f20,plain,(
% 8.61/2.30 ! [X2 : $tType,X0 : $tType,X1 : X0 > X2,X5 : X0 > $o] : (? [X6 : X0,X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X5) = $true) & (('const/sets/IN' @ X0 @ X6 @ X5) = $true) & (((X1 @ X6) != (X1 @ X7)) | (X6 != X7)) & (((X1 @ X6) = (X1 @ X7)) | (X6 = X7))) => (($true = ('const/sets/IN' @ X0 @ (sK2 @ X0 @ X2 @ X5 @ X1) @ X5)) & ($true = ('const/sets/IN' @ X0 @ (sK1 @ X0 @ X2 @ X5 @ X1) @ X5)) & (((X1 @ (sK2 @ X0 @ X2 @ X5 @ X1)) != (X1 @ (sK1 @ X0 @ X2 @ X5 @ X1))) | ((sK2 @ X0 @ X2 @ X5 @ X1) != (sK1 @ X0 @ X2 @ X5 @ X1))) & (((X1 @ (sK2 @ X0 @ X2 @ X5 @ X1)) = (X1 @ (sK1 @ X0 @ X2 @ X5 @ X1))) | ((sK2 @ X0 @ X2 @ X5 @ X1) = (sK1 @ X0 @ X2 @ X5 @ X1)))))),
% 8.61/2.30 introduced(definition,[],[choice_axiom])).
% 8.61/2.30 thf(f21,plain,(
% 8.61/2.30 ! [X2 : $tType,X0 : $tType,X1 : X0 > X2,X3 : (X2 > $o) > $o,X4 : X0 > $o] : (? [X8 : X0 > $o] : (! [X9 : X0,X10 : X0] : (($true != ('const/sets/IN' @ X0 @ X10 @ X8)) | ($true != ('const/sets/IN' @ X0 @ X9 @ X8)) | (((X9 = X10) | ((X1 @ X9) != (X1 @ X10))) & (((X1 @ X9) = (X1 @ X10)) | (X9 != X10)))) & ($true = (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X8))) & ($true = ('const/sets/SUBSET' @ X0 @ X8 @ X4))) => (! [X10 : X0,X9 : X0] : (($true != ('const/sets/IN' @ X0 @ X10 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1))) | ($true != ('const/sets/IN' @ X0 @ X9 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1))) | (((X9 = X10) | ((X1 @ X9) != (X1 @ X10))) & (((X1 @ X9) = (X1 @ X10)) | (X9 != X10)))) & ($true = (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1)))) & ($true = ('const/sets/SUBSET' @ X0 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1) @ X4))))),
% 8.61/2.30 introduced(definition,[],[choice_axiom])).
% 8.61/2.30 thf(f19,plain,(
% 8.61/2.30 ! [X0 : $tType,X1 : X0 > X2,X2 : $tType,X3 : (X2 > $o) > $o,X4 : X0 > $o] : ((($true = (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | ! [X5 : X0 > $o] : (? [X6 : X0,X7 : X0] : ((('const/sets/IN' @ X0 @ X7 @ X5) = $true) & (('const/sets/IN' @ X0 @ X6 @ X5) = $true) & (((X1 @ X6) != (X1 @ X7)) | (X6 != X7)) & (((X1 @ X6) = (X1 @ X7)) | (X6 = X7))) | ($true != (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X5))) | (('const/sets/SUBSET' @ X0 @ X5 @ X4) != $true))) & (? [X8 : X0 > $o] : (! [X9 : X0,X10 : X0] : (($true != ('const/sets/IN' @ X0 @ X10 @ X8)) | ($true != ('const/sets/IN' @ X0 @ X9 @ X8)) | (((X9 = X10) | ((X1 @ X9) != (X1 @ X10))) & (((X1 @ X9) = (X1 @ X10)) | (X9 != X10)))) & ($true = (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X8))) & ($true = ('const/sets/SUBSET' @ X0 @ X8 @ X4))) | ($true != (sP0 @ X0 @ X2 @ X4 @ X3 @ X1))))),
% 8.61/2.30 inference(rectify,[status(thm)],[f18])).
% 8.61/2.30 thf(f18,plain,(
% 8.61/2.30 ! [X1 : $tType,X3 : X1 > X0,X0 : $tType,X2 : (X0 > $o) > $o,X4 : X1 > $o] : ((($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ! [X5 : X1 > $o] : (? [X6 : X1,X7 : X1] : (($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X6 @ X5)) & (((X3 @ X6) != (X3 @ X7)) | (X6 != X7)) & (((X3 @ X6) = (X3 @ X7)) | (X6 = X7))) | ($true != (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)))) & (? [X5 : X1 > $o] : (! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | (((X6 = X7) | ((X3 @ X6) != (X3 @ X7))) & (((X3 @ X6) = (X3 @ X7)) | (X6 != X7)))) & ($true = (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))) | ($true != (sP0 @ X1 @ X0 @ X4 @ X2 @ X3))))),
% 8.61/2.30 inference(flattening,[status(thm)],[f17])).
% 8.61/2.30 thf(f17,plain,(
% 8.61/2.30 ! [X1 : $tType,X3 : X1 > X0,X0 : $tType,X2 : (X0 > $o) > $o,X4 : X1 > $o] : ((($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ! [X5 : X1 > $o] : (? [X6 : X1,X7 : X1] : (($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X6 @ X5)) & ((((X3 @ X6) != (X3 @ X7)) | (X6 != X7)) & (((X3 @ X6) = (X3 @ X7)) | (X6 = X7)))) | ($true != (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)))) & (? [X5 : X1 > $o] : (! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | (((X6 = X7) | ((X3 @ X6) != (X3 @ X7))) & (((X3 @ X6) = (X3 @ X7)) | (X6 != X7)))) & ($true = (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))) | ($true != (sP0 @ X1 @ X0 @ X4 @ X2 @ X3))))),
% 8.61/2.30 inference(nnf_transformation,[status(thm)],[f15])).
% 8.61/2.30 thf(f15,plain,(
% 8.61/2.30 ! [X1 : $tType,X3 : X1 > X0,X0 : $tType,X2 : (X0 > $o) > $o,X4 : X1 > $o] : (($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) <=> ? [X5 : X1 > $o] : (! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | ((X6 = X7) <=> ((X3 @ X6) = (X3 @ X7)))) & ($true = (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))))),
% 8.61/2.30 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 8.61/2.30 thf(f210,plain,(
% 8.61/2.30 ( ! [X2 : sK5 > $o,X3 : (sK4 > $o) > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (($true != (X3 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) | ($true != ('const/sets/IN' @ sK5 @ (sK2 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) = (sK2 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X2)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != (sK6 @ X1)) | ($true = (sP0 @ sK5 @ sK4 @ X2 @ X3 @ sK7))) ) | spl13_1),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f209])).
% 8.61/2.30 thf(f209,plain,(
% 8.61/2.30 ( ! [X2 : sK5 > $o,X3 : (sK4 > $o) > $o,X0 : sK5 > $o,X1 : sK4 > $o] : (($true = (sP0 @ sK5 @ sK4 @ X2 @ X3 @ sK7)) | ($true != (sK6 @ X1)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != (X3 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ X2)) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) = (sK2 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) = (sK2 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) | ($true != ('const/sets/IN' @ sK5 @ (sK2 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7)))) ) | spl13_1),
% 8.61/2.30 inference(equality_resolution,[status(thm)],[f193])).
% 8.61/2.30 thf(f193,plain,(
% 8.61/2.30 ( ! [X2 : sK4 > $o,X3 : sK5 > $o,X0 : sK5 > $o,X1 : sK5 > $o,X4 : (sK4 > $o) > $o] : (((sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X1 @ X2 @ sK7) @ sK7)) != (sK7 @ (sK1 @ sK5 @ sK4 @ X0 @ sK7))) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X1 @ X2 @ sK7) @ sK7) = (sK2 @ sK5 @ sK4 @ X0 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X1 @ X2 @ sK7) @ sK8)) | ($true = (sP0 @ sK5 @ sK4 @ X3 @ X4 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK4 @ X2 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X1))) | ($true != (X4 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ((sK1 @ sK5 @ sK4 @ X0 @ sK7) = (sK2 @ sK5 @ sK4 @ X0 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ X3)) | ($true != ('const/sets/IN' @ sK5 @ (sK2 @ sK5 @ sK4 @ X0 @ sK7) @ (sK12 @ sK4 @ sK5 @ X1 @ X2 @ sK7))) | ($true != (sK6 @ X2))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f192,f39])).
% 8.61/2.30 thf(f39,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X1 : X0 > X2,X4 : X0 > $o,X5 : X0 > $o] : (((X1 @ (sK2 @ X0 @ X2 @ X5 @ X1)) = (X1 @ (sK1 @ X0 @ X2 @ X5 @ X1))) | ($true = (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | (('const/sets/SUBSET' @ X0 @ X5 @ X4) != $true) | ((sK2 @ X0 @ X2 @ X5 @ X1) = (sK1 @ X0 @ X2 @ X5 @ X1)) | ($true != (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X5)))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f192,plain,(
% 8.61/2.30 ( ! [X2 : sK5,X0 : sK5 > $o,X1 : sK4 > $o] : (((sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) != (sK7 @ X2)) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) = X2) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != (sK6 @ X1)) | ($true != ('const/sets/IN' @ sK5 @ X2 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0)))) ) | spl13_1),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f191])).
% 8.61/2.30 thf(f191,plain,(
% 8.61/2.30 ( ! [X2 : sK5,X0 : sK5 > $o,X1 : sK4 > $o] : (($true != (sK6 @ X1)) | ((sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7) = X2) | ((sK7 @ (sK1 @ sK5 @ sK4 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK7)) != (sK7 @ X2)) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7) @ sK8)) | ($true != ('const/sets/IN' @ sK5 @ X2 @ (sK12 @ sK4 @ sK5 @ X0 @ X1 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK4 @ X1 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0)))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f182,f49])).
% 8.61/2.30 thf(f182,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : X0 > $o,X3 : sK5 > X0,X1 : sK5 > $o,X4 : sK5] : (($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3)))) | ($true != ('const/sets/SUBSET' @ X0 @ X2 @ ('const/sets/IMAGE' @ sK5 @ X0 @ X3 @ X1))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3) @ sK8)) | ((sK1 @ sK5 @ sK4 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3) @ sK7) = X4) | ($true != ('const/sets/IN' @ sK5 @ X4 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3))) | ((X3 @ X4) != (X3 @ (sK1 @ sK5 @ sK4 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3) @ sK7)))) ) | spl13_1),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f180])).
% 8.61/2.30 thf(f180,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : X0 > $o,X3 : sK5 > X0,X1 : sK5 > $o,X4 : sK5] : (($true != ('const/sets/SUBSET' @ X0 @ X2 @ ('const/sets/IMAGE' @ sK5 @ X0 @ X3 @ X1))) | ((X3 @ X4) != (X3 @ (sK1 @ sK5 @ sK4 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3) @ sK7))) | ($true != ('const/sets/IN' @ sK5 @ X4 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3) @ sK8)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3)))) | ($true != $true) | ((sK1 @ sK5 @ sK4 @ (sK12 @ X0 @ sK5 @ X1 @ X2 @ X3) @ sK7) = X4)) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f48,f170])).
% 8.61/2.30 thf(f170,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true = ('const/sets/IN' @ sK5 @ (sK1 @ sK5 @ sK4 @ X0 @ sK7) @ X0)) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0)))) ) | spl13_1),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f167])).
% 8.61/2.30 thf(f167,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8)) | ($true = ('const/sets/IN' @ sK5 @ (sK1 @ sK5 @ sK4 @ X0 @ sK7) @ X0)) | ($true != $true) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0)))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f64,f41])).
% 8.61/2.30 thf(f41,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X1 : X0 > X2,X4 : X0 > $o,X5 : X0 > $o] : (($true = (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | ($true != (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X5))) | ($true = ('const/sets/IN' @ X0 @ (sK1 @ X0 @ X2 @ X5 @ X1) @ X5)) | (('const/sets/SUBSET' @ X0 @ X5 @ X4) != $true)) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f48,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X10 : X1,X9 : X1,X4 : X1 > $o] : (($true != ('const/sets/IN' @ X1 @ X10 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2))) | (X9 = X10) | ($true != ('const/sets/IN' @ X1 @ X9 @ (sK12 @ X0 @ X1 @ X4 @ X3 @ X2))) | ($true != ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ((X2 @ X9) != (X2 @ X10))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f169,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (((sK7 @ (sK1 @ sK5 @ sK4 @ X0 @ sK7)) != (sK7 @ (sK2 @ sK5 @ sK4 @ X0 @ sK7))) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ((sK1 @ sK5 @ sK4 @ X0 @ sK7) != (sK2 @ sK5 @ sK4 @ X0 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | spl13_1),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f166])).
% 8.61/2.30 thf(f166,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (((sK7 @ (sK1 @ sK5 @ sK4 @ X0 @ sK7)) != (sK7 @ (sK2 @ sK5 @ sK4 @ X0 @ sK7))) | ($true != $true) | ((sK1 @ sK5 @ sK4 @ X0 @ sK7) != (sK2 @ sK5 @ sK4 @ X0 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | spl13_1),
% 8.61/2.30 inference(superposition,[status(thm)],[f64,f40])).
% 8.61/2.30 thf(f40,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X1 : X0 > X2,X4 : X0 > $o,X5 : X0 > $o] : (($true = (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | ($true != (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ X5))) | ((sK2 @ X0 @ X2 @ X5 @ X1) != (sK1 @ X0 @ X2 @ X5 @ X1)) | (('const/sets/SUBSET' @ X0 @ X5 @ X4) != $true) | ((X1 @ (sK2 @ X0 @ X2 @ X5 @ X1)) != (X1 @ (sK1 @ X0 @ X2 @ X5 @ X1)))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f64,plain,(
% 8.61/2.30 ($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | spl13_1),
% 8.61/2.30 inference(avatar_component_clause,[status(thm)],[f63])).
% 8.61/2.30 thf(f63,definition,(
% 8.61/2.30 spl13_1 <=> ($true = (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7))),
% 8.61/2.30 introduced(definition,[new_symbols(naming,[spl13_1])],[avatar_definition])).
% 8.61/2.30 thf(f164,plain,(
% 8.61/2.30 ~spl13_1 | ~spl13_4),
% 8.61/2.30 inference(avatar_split_clause,[status(thm)],[f161,f77,f63])).
% 8.61/2.30 thf(f77,definition,(
% 8.61/2.30 spl13_4 <=> ! [X5 : sK4 > $o] : (($true != ('const/sets/SUBSET' @ sK4 @ X5 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X5)))),
% 8.61/2.30 introduced(definition,[new_symbols(naming,[spl13_4])],[avatar_definition])).
% 8.61/2.30 thf(f161,plain,(
% 8.61/2.30 ($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f160])).
% 8.61/2.30 thf(f160,plain,(
% 8.61/2.30 ($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ($true != $true) | ~spl13_4),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f159])).
% 8.61/2.30 thf(f159,plain,(
% 8.61/2.30 ($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ($true != $true) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f158,f35])).
% 8.61/2.30 thf(f35,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X1 : X0 > X2,X4 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1) @ X4)) | ($true != (sP0 @ X0 @ X2 @ X4 @ X3 @ X1))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f158,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f157,f36])).
% 8.61/2.30 thf(f36,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X1 : X0 > X2,X4 : X0 > $o] : (($true = (X3 @ ('const/sets/IMAGE' @ X0 @ X2 @ X1 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1)))) | ($true != (sP0 @ X0 @ X2 @ X4 @ X3 @ X1))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f157,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f156])).
% 8.61/2.30 thf(f156,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != $true) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))))) ) | ~spl13_4),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f155])).
% 8.61/2.30 thf(f155,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ($true != $true) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f154,f86])).
% 8.61/2.30 thf(f86,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true = ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ X0 @ sK7) @ X0)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f84])).
% 8.61/2.30 thf(f84,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != $true) | ($true = ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ X0 @ sK7) @ X0)) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f78,f55])).
% 8.61/2.30 thf(f55,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)) | ($true = ('const/sets/IN' @ X1 @ (sK10 @ X0 @ X1 @ X5 @ X2) @ X5))) )),
% 8.61/2.30 inference(equality_resolution,[status(thm)],[f53])).
% 8.61/2.30 thf(f53,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | (('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ($true = ('const/sets/IN' @ X1 @ (sK10 @ X0 @ X1 @ X5 @ X2) @ X5)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f78,plain,(
% 8.61/2.30 ( ! [X5 : sK4 > $o] : (($true != ('const/sets/SUBSET' @ sK4 @ X5 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X5))) ) | ~spl13_4),
% 8.61/2.30 inference(avatar_component_clause,[status(thm)],[f77])).
% 8.61/2.30 thf(f154,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f152,f36])).
% 8.61/2.30 thf(f152,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f151])).
% 8.61/2.30 thf(f151,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7))) | ($true != ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) != (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f147])).
% 8.61/2.30 thf(f147,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) != (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f89,f146])).
% 8.61/2.30 thf(f146,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/IN' @ sK5 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(equality_resolution,[status(thm)],[f143])).
% 8.61/2.30 thf(f143,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1)) ) | ~spl13_4),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f138,f121])).
% 8.61/2.30 thf(f121,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f120])).
% 8.61/2.30 thf(f120,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (($true != $true) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f119])).
% 8.61/2.30 thf(f119,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ($true != $true) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f95,f36])).
% 8.61/2.30 thf(f95,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : (X0 > $o) > $o,X3 : sK5 > X0,X1 : sK5 > $o,X4 : sK5] : (($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3)))) | ($true != ('const/sets/IN' @ sK5 @ X4 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3))) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7) = X4) | ($true != (sP0 @ sK5 @ X0 @ X1 @ X2 @ X3)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK8)) | ((X3 @ X4) != (X3 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f92])).
% 8.61/2.30 thf(f92,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : (X0 > $o) > $o,X3 : sK5 > X0,X1 : sK5 > $o,X4 : sK5] : (($true != ('const/sets/IN' @ sK5 @ X4 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3))) | ($true != $true) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7) = X4) | ($true != (sP0 @ sK5 @ X0 @ X1 @ X2 @ X3)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3)))) | ((X3 @ X4) != (X3 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f38,f86])).
% 8.61/2.30 thf(f38,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : $tType,X3 : (X2 > $o) > $o,X10 : X0,X1 : X0 > X2,X9 : X0,X4 : X0 > $o] : (($true != ('const/sets/IN' @ X0 @ X10 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1))) | (X9 = X10) | ($true != (sP0 @ X0 @ X2 @ X4 @ X3 @ X1)) | ($true != ('const/sets/IN' @ X0 @ X9 @ (sK3 @ X0 @ X2 @ X4 @ X3 @ X1))) | ((X1 @ X9) != (X1 @ X10))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f22])).
% 8.61/2.30 thf(f138,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) != X1) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(equality_factoring,[status(thm)],[f134])).
% 8.61/2.30 thf(f134,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(subsumption_resolution,[status(thm)],[f133,f36])).
% 8.61/2.30 thf(f133,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7))) ) | ~spl13_4),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f131])).
% 8.61/2.30 thf(f131,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ((sK7 @ (sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) != (sK7 @ X1)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ((sK10 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7)) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f128,f87])).
% 8.61/2.30 thf(f87,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (((sK7 @ (sK10 @ sK4 @ sK5 @ X0 @ sK7)) = (sK7 @ (sK11 @ sK4 @ sK5 @ X0 @ sK7))) | ((sK11 @ sK4 @ sK5 @ X0 @ sK7) = (sK10 @ sK4 @ sK5 @ X0 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f82])).
% 8.61/2.30 thf(f82,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (((sK11 @ sK4 @ sK5 @ X0 @ sK7) = (sK10 @ sK4 @ sK5 @ X0 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ((sK7 @ (sK10 @ sK4 @ sK5 @ X0 @ sK7)) = (sK7 @ (sK11 @ sK4 @ sK5 @ X0 @ sK7))) | ($true != $true) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f78,f58])).
% 8.61/2.30 thf(f58,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) = (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) = (sK11 @ X0 @ X1 @ X5 @ X2)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4))) )),
% 8.61/2.30 inference(equality_resolution,[status(thm)],[f50])).
% 8.61/2.30 thf(f50,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | (('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) = (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) = (sK11 @ X0 @ X1 @ X5 @ X2)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f128,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK7 @ X1) != (sK7 @ (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7))) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f127])).
% 8.61/2.30 thf(f127,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ((sK7 @ X1) != (sK7 @ (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7))) | ($true != $true) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7))) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1)) ) | ~spl13_4),
% 8.61/2.30 inference(duplicate_literal_removal,[status(thm)],[f126])).
% 8.61/2.30 thf(f126,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o,X1 : sK5] : (((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7) = X1) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ((sK7 @ X1) != (sK7 @ (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK7))) | ($true != (sP0 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)) | ($true != $true) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7) @ sK8)) | ($true != ('const/sets/IN' @ sK5 @ X1 @ (sK3 @ sK5 @ sK4 @ X0 @ sK6 @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f99,f36])).
% 8.61/2.30 thf(f99,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : (X0 > $o) > $o,X3 : sK5 > X0,X1 : sK5 > $o,X4 : sK5] : (($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3)))) | ($true != (sP0 @ sK5 @ X0 @ X1 @ X2 @ X3)) | ($true != ('const/sets/IN' @ sK5 @ X4 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3))) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7) = X4) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK8)) | ((X3 @ X4) != (X3 @ (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f96])).
% 8.61/2.30 thf(f96,plain,(
% 8.61/2.30 ( ! [X0 : $tType,X2 : (X0 > $o) > $o,X3 : sK5 > X0,X1 : sK5 > $o,X4 : sK5] : (($true != ('const/sets/IN' @ sK5 @ X4 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3))) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3)))) | ((X3 @ X4) != (X3 @ (sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7))) | ($true != ('const/sets/SUBSET' @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK8)) | ((sK11 @ sK4 @ sK5 @ (sK3 @ sK5 @ X0 @ X1 @ X2 @ X3) @ sK7) = X4) | ($true != $true) | ($true != (sP0 @ sK5 @ X0 @ X1 @ X2 @ X3))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f38,f91])).
% 8.61/2.30 thf(f91,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true = ('const/sets/IN' @ sK5 @ (sK11 @ sK4 @ sK5 @ X0 @ sK7) @ X0)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f83])).
% 8.61/2.30 thf(f83,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != $true) | ($true = ('const/sets/IN' @ sK5 @ (sK11 @ sK4 @ sK5 @ X0 @ sK7) @ X0))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f78,f56])).
% 8.61/2.30 thf(f56,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ($true = ('const/sets/IN' @ X1 @ (sK11 @ X0 @ X1 @ X5 @ X2) @ X5)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4))) )),
% 8.61/2.30 inference(equality_resolution,[status(thm)],[f52])).
% 8.61/2.30 thf(f52,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | (('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ($true = ('const/sets/IN' @ X1 @ (sK11 @ X0 @ X1 @ X5 @ X2) @ X5)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f89,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (((sK7 @ (sK10 @ sK4 @ sK5 @ X0 @ sK7)) != (sK7 @ (sK11 @ sK4 @ sK5 @ X0 @ sK7))) | ((sK11 @ sK4 @ sK5 @ X0 @ sK7) != (sK10 @ sK4 @ sK5 @ X0 @ sK7)) | ($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8))) ) | ~spl13_4),
% 8.61/2.30 inference(trivial_inequality_removal,[status(thm)],[f85])).
% 8.61/2.30 thf(f85,plain,(
% 8.61/2.30 ( ! [X0 : sK5 > $o] : (($true != (sK6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ X0))) | ($true != $true) | ($true != ('const/sets/SUBSET' @ sK5 @ X0 @ sK8)) | ((sK11 @ sK4 @ sK5 @ X0 @ sK7) != (sK10 @ sK4 @ sK5 @ X0 @ sK7)) | ((sK7 @ (sK10 @ sK4 @ sK5 @ X0 @ sK7)) != (sK7 @ (sK11 @ sK4 @ sK5 @ X0 @ sK7)))) ) | ~spl13_4),
% 8.61/2.30 inference(superposition,[status(thm)],[f78,f57])).
% 8.61/2.30 thf(f57,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | ((sK10 @ X0 @ X1 @ X5 @ X2) != (sK11 @ X0 @ X1 @ X5 @ X2)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4)) | ((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) != (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2)))) )),
% 8.61/2.30 inference(equality_resolution,[status(thm)],[f51])).
% 8.61/2.30 thf(f51,plain,(
% 8.61/2.30 ( ! [X1 : $tType,X0 : $tType,X2 : X1 > X0,X3 : X0 > $o,X4 : X1 > $o,X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X3 @ ('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X4))) | (('const/sets/IMAGE' @ X1 @ X0 @ X2 @ X5) != X3) | ((X2 @ (sK11 @ X0 @ X1 @ X5 @ X2)) != (X2 @ (sK10 @ X0 @ X1 @ X5 @ X2))) | ((sK10 @ X0 @ X1 @ X5 @ X2) != (sK11 @ X0 @ X1 @ X5 @ X2)) | ($true != ('const/sets/SUBSET' @ X1 @ X5 @ X4))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f33])).
% 8.61/2.30 thf(f79,plain,(
% 8.61/2.30 ~spl13_1 | spl13_4),
% 8.61/2.30 inference(avatar_split_clause,[status(thm)],[f45,f77,f63])).
% 8.61/2.30 thf(f45,plain,(
% 8.61/2.30 ( ! [X5 : sK4 > $o] : (($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ($true != ('const/sets/SUBSET' @ sK4 @ X5 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X5))) )),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f27])).
% 8.61/2.30 thf(f27,plain,(
% 8.61/2.30 (($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ! [X5 : sK4 > $o] : (($true != ('const/sets/SUBSET' @ sK4 @ X5 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X5)))) & (($true = (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | (($true = ('const/sets/SUBSET' @ sK4 @ sK9 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) & ($true = (sK6 @ sK9))))),
% 8.61/2.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f24,f26,f25])).
% 8.61/2.30 thf(f25,plain,(
% 8.61/2.30 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : ((($true != (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ! [X5 : X0 > $o] : (($true != ('const/sets/SUBSET' @ X0 @ X5 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) | ($true != (X2 @ X5)))) & (($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ? [X6 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X6 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X6))))) => ((($true != (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ! [X5 : sK4 > $o] : (($true != ('const/sets/SUBSET' @ sK4 @ X5 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) | ($true != (sK6 @ X5)))) & (($true = (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ? [X6 : sK4 > $o] : (($true = ('const/sets/SUBSET' @ sK4 @ X6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) & ($true = (sK6 @ X6)))))),
% 8.61/2.30 introduced(definition,[],[choice_axiom])).
% 8.61/2.30 thf(f26,plain,(
% 8.61/2.30 ? [X6 : sK4 > $o] : (($true = ('const/sets/SUBSET' @ sK4 @ X6 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) & ($true = (sK6 @ X6))) => (($true = ('const/sets/SUBSET' @ sK4 @ sK9 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8))) & ($true = (sK6 @ sK9)))),
% 8.61/2.30 introduced(definition,[],[choice_axiom])).
% 8.61/2.30 thf(f24,plain,(
% 8.61/2.30 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : ((($true != (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ! [X5 : X0 > $o] : (($true != ('const/sets/SUBSET' @ X0 @ X5 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) | ($true != (X2 @ X5)))) & (($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ? [X6 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X6 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X6)))))),
% 8.61/2.30 inference(rectify,[status(thm)],[f23])).
% 8.61/2.30 thf(f23,plain,(
% 8.61/2.30 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : ((($true != (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ! [X8 : X0 > $o] : (($true != ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) | ($true != (X2 @ X8)))) & (($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)) | ? [X8 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X8)))))),
% 8.61/2.30 inference(nnf_transformation,[status(thm)],[f16])).
% 8.61/2.30 thf(f16,plain,(
% 8.61/2.30 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : (? [X8 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X8))) <~> ($true = (sP0 @ X1 @ X0 @ X4 @ X2 @ X3)))),
% 8.61/2.30 inference(definition_folding,[status(thm)],[f12,f15])).
% 8.61/2.30 thf(f12,plain,(
% 8.61/2.30 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : (? [X8 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X8))) <~> ? [X5 : X1 > $o] : (! [X6 : X1,X7 : X1] : (($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X6 @ X5)) | ((X6 = X7) <=> ((X3 @ X6) = (X3 @ X7)))) & ($true = (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5))) & ($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4))))),
% 8.61/2.30 inference(flattening,[status(thm)],[f11])).
% 8.61/2.30 thf(f11,plain,(
% 8.61/2.30 ? [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : (? [X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4)) & ! [X6 : X1,X7 : X1] : (((X6 = X7) <=> ((X3 @ X6) = (X3 @ X7))) | (($true != ('const/sets/IN' @ X1 @ X7 @ X5)) | ($true != ('const/sets/IN' @ X1 @ X6 @ X5)))) & ($true = (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5)))) <~> ? [X8 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X8))))),
% 8.61/2.30 inference(ennf_transformation,[status(thm)],[f7])).
% 8.61/2.30 thf(f7,plain,(
% 8.61/2.30 ~! [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : (? [X5 : X1 > $o] : (($true = ('const/sets/SUBSET' @ X1 @ X5 @ X4)) & ! [X6 : X1,X7 : X1] : ((($true = ('const/sets/IN' @ X1 @ X7 @ X5)) & ($true = ('const/sets/IN' @ X1 @ X6 @ X5))) => ((X6 = X7) <=> ((X3 @ X6) = (X3 @ X7)))) & ($true = (X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5)))) <=> ? [X8 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))) & ($true = (X2 @ X8))))),
% 8.61/2.30 inference(fool_elimination,[status(thm)],[f6])).
% 8.61/2.30 thf(f6,plain,(
% 8.61/2.30 ~! [X0 : $tType,X1 : $tType,X2 : (X0 > $o) > $o,X3 : X1 > X0,X4 : X1 > $o] : (? [X5 : X1 > $o] : ((X2 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X5)) & ! [X6 : X1,X7 : X1] : ((('const/sets/IN' @ X1 @ X7 @ X5) & ('const/sets/IN' @ X1 @ X6 @ X5)) => (((X3 @ X6) = (X3 @ X7)) = (X6 = X7))) & ('const/sets/SUBSET' @ X1 @ X5 @ X4)) = ? [X8 : X0 > $o] : ((X2 @ X8) & ('const/sets/SUBSET' @ X0 @ X8 @ ('const/sets/IMAGE' @ X1 @ X0 @ X3 @ X4))))),
% 8.61/2.30 inference(rectify,[status(thm)],[f4])).
% 8.61/2.30 thf(f4,negated_conjecture,(
% 8.61/2.30 ~! [X0 : $tType,X2 : $tType,X8 : (X0 > $o) > $o,X3 : X2 > X0,X4 : X2 > $o] : (? [X5 : X2 > $o] : ((X8 @ ('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X5)) & ! [X6 : X2,X7 : X2] : ((('const/sets/IN' @ X2 @ X7 @ X5) & ('const/sets/IN' @ X2 @ X6 @ X5)) => (((X3 @ X6) = (X3 @ X7)) = (X6 = X7))) & ('const/sets/SUBSET' @ X2 @ X5 @ X4)) = ? [X5 : X0 > $o] : ((X8 @ X5) & ('const/sets/SUBSET' @ X0 @ X5 @ ('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4))))),
% 8.61/2.30 inference(negated_conjecture,[status(cth)],[f3])).
% 8.61/2.30 thf(f3,conjecture,(
% 8.61/2.30 ! [X0 : $tType,X2 : $tType,X8 : (X0 > $o) > $o,X3 : X2 > X0,X4 : X2 > $o] : (? [X5 : X2 > $o] : ((X8 @ ('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X5)) & ! [X6 : X2,X7 : X2] : ((('const/sets/IN' @ X2 @ X7 @ X5) & ('const/sets/IN' @ X2 @ X6 @ X5)) => (((X3 @ X6) = (X3 @ X7)) = (X6 = X7))) & ('const/sets/SUBSET' @ X2 @ X5 @ X4)) = ? [X5 : X0 > $o] : ((X8 @ X5) & ('const/sets/SUBSET' @ X0 @ X5 @ ('const/sets/IMAGE' @ X2 @ X0 @ X3 @ X4))))),
% 8.61/2.30 file('/export/starexec/sandbox/tmp/tmp.aXvRLgfTa8/DTF2THF_5169.p','thm/sets/EXISTS_SUBSET_IMAGE_INJ_')).
% 8.61/2.30 thf(f75,plain,(
% 8.61/2.30 spl13_1 | spl13_3),
% 8.61/2.30 inference(avatar_split_clause,[status(thm)],[f44,f72,f63])).
% 8.61/2.30 thf(f44,plain,(
% 8.61/2.30 ($true = (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7)) | ($true = ('const/sets/SUBSET' @ sK4 @ sK9 @ ('const/sets/IMAGE' @ sK5 @ sK4 @ sK7 @ sK8)))),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f27])).
% 8.61/2.30 thf(f70,plain,(
% 8.61/2.30 spl13_1 | spl13_2),
% 8.61/2.30 inference(avatar_split_clause,[status(thm)],[f43,f67,f63])).
% 8.61/2.30 thf(f43,plain,(
% 8.61/2.30 ($true = (sK6 @ sK9)) | ($true = (sP0 @ sK5 @ sK4 @ sK8 @ sK6 @ sK7))),
% 8.61/2.30 inference(cnf_transformation,[status(thm)],[f27])).
% 8.61/2.30 % SZS output end Proof for DTF2THF_5169
% 8.61/2.30 % (5553)------------------------------
% 8.61/2.30 % (5553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.61/2.30 % (5553)Termination reason: Refutation
% 8.61/2.30
% 8.61/2.30 % (5553)Memory used [KB]: 6140
% 8.61/2.30 % (5553)Time elapsed: 0.079 s
% 8.61/2.30 % (5553)Instructions burned: 241 (million)
% 8.61/2.30 % (5553)------------------------------
% 8.61/2.30 % (5553)------------------------------
% 8.61/2.30 % (5441)Success in time 1.021 s
%------------------------------------------------------------------------------