%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV472^1 : 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 : n018.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 09:41:19 AM UTC 2026
% Result : Theorem 1.67s 1.45s
% Output : Refutation 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV472^1 : TPTP v9.2.1. Released v7.0.0.
% 0.13/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.33 % Computer : n018.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % 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 12:47:16 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
% 0.34/0.48 ---- Original DTF file ---
% 0.34/0.48 thf(spec,logic,$$dhol).
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 % File : SEV472^1 : TPTP v9.2.1. Released v7.0.0.
% 0.34/0.48 % Domain : Analysis
% 0.34/0.48 % Problem : FINITE_RESTRICT
% 0.34/0.48 % Version : Especial.
% 0.34/0.48 % English :
% 0.34/0.48
% 0.34/0.48 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.34/0.48 % Source : [Kal16]
% 0.34/0.48 % Names : FINITE_RESTRICT_.p [Kal16]
% 0.34/0.48
% 0.34/0.48 % Status : Theorem
% 0.34/0.48 % Rating : 0.00 v7.1.0
% 0.34/0.48 % Syntax : Number of formulae : 10 ( 1 unt; 6 typ; 0 def)
% 0.34/0.48 % Number of atoms : 13 ( 1 equ; 0 cnn)
% 0.34/0.48 % Maximal formula atoms : 5 ( 3 avg)
% 0.34/0.48 % Number of connectives : 41 ( 0 ~; 0 |; 3 &; 36 @)
% 0.34/0.48 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.34/0.48 % Maximal formula depth : 15 ( 11 avg)
% 0.34/0.48 % Number of types : 1 ( 0 usr)
% 0.34/0.48 % Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% 0.34/0.48 % Number of symbols : 7 ( 6 usr; 0 con; 2-4 aty)
% 0.34/0.48 % Number of variables : 21 ( 2 ^; 11 !; 2 ?; 21 :)
% 0.34/0.48 % ( 6 !>; 0 ?*; 0 @-; 0 @+)
% 0.34/0.48 % SPC : TH1_THM_EQU_NAR
% 0.34/0.48
% 0.34/0.48 % Comments : Exported from core HOL Light.
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 thf('thf_const_const/trivia/I',type,
% 0.34/0.48 'const/trivia/I':
% 0.34/0.48 !>[A: $tType] : ( A > A ) ).
% 0.34/0.48
% 0.34/0.48 thf('thf_const_const/sets/SUBSET',type,
% 0.34/0.48 'const/sets/SUBSET':
% 0.34/0.48 !>[A: $tType] : ( ( A > $o ) > ( A > $o ) > $o ) ).
% 0.34/0.48
% 0.34/0.48 thf('thf_const_const/sets/SETSPEC',type,
% 0.34/0.48 'const/sets/SETSPEC':
% 0.34/0.48 !>[A: $tType] : ( A > $o > A > $o ) ).
% 0.34/0.48
% 0.34/0.48 thf('thf_const_const/sets/IN',type,
% 0.34/0.48 'const/sets/IN':
% 0.34/0.48 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 0.34/0.48
% 0.34/0.48 thf('thf_const_const/sets/GSPEC',type,
% 0.34/0.48 'const/sets/GSPEC':
% 0.34/0.48 !>[A: $tType] : ( ( A > $o ) > A > $o ) ).
% 0.34/0.48
% 0.34/0.48 thf('thf_const_const/sets/FINITE',type,
% 0.34/0.48 'const/sets/FINITE':
% 0.34/0.48 !>[A: $tType] : ( ( A > $o ) > $o ) ).
% 0.34/0.48
% 0.34/0.48 thf('thm/trivia/I_THM_',axiom,
% 0.34/0.48 ! [A: $tType,A0: A] :
% 0.34/0.48 ( ( 'const/trivia/I' @ A @ A0 )
% 0.34/0.48 = A0 ) ).
% 0.34/0.48
% 0.34/0.48 thf('thm/sets/FINITE_SUBSET_',axiom,
% 0.34/0.48 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 0.34/0.48 ( ( ( 'const/sets/FINITE' @ A @ A1 )
% 0.34/0.48 & ( 'const/sets/SUBSET' @ A @ A0 @ A1 ) )
% 0.34/0.48 => ( 'const/sets/FINITE' @ A @ A0 ) ) ).
% 0.34/0.48
% 0.34/0.48 thf('thm/sets/SUBSET_RESTRICT_',axiom,
% 0.34/0.48 ! [A: $tType,A0: A > $o,P: A > $o] :
% 0.34/0.48 ( 'const/sets/SUBSET' @ A
% 0.34/0.48 @ ( 'const/sets/GSPEC' @ A
% 0.34/0.48 @ ^ [A1: A] :
% 0.34/0.48 ? [A2: A] :
% 0.34/0.48 ( 'const/sets/SETSPEC' @ A @ A1
% 0.34/0.48 @ ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.34/0.48 & ( P @ A2 ) )
% 0.34/0.48 @ A2 ) )
% 0.34/0.48 @ A0 ) ).
% 0.34/0.48
% 0.34/0.48 thf('thm/sets/FINITE_RESTRICT_',conjecture,
% 0.34/0.48 ! [A: $tType,A0: A > $o,P: A > $o] :
% 0.34/0.48 ( ( 'const/sets/FINITE' @ A @ A0 )
% 0.34/0.48 => ( 'const/sets/FINITE' @ A
% 0.34/0.48 @ ( 'const/sets/GSPEC' @ A
% 0.34/0.48 @ ^ [A1: A] :
% 0.34/0.48 ? [A2: A] :
% 0.34/0.48 ( 'const/sets/SETSPEC' @ A @ A1
% 0.34/0.48 @ ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.34/0.48 & ( P @ A2 ) )
% 0.34/0.48 @ A2 ) ) ) ) ).
% 0.34/0.48
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 ------------------------
% 1.52/1.36 ---- Embedded in THF ---
% 1.52/1.36 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.52/1.36 %%% Generated on Tue Feb 24 12:47:17 EST 2026
% 1.52/1.36 %%% using '$$dhol' embedding, version 1.3.0.
% 1.52/1.36 %%% Logic specification used:
% 1.52/1.36 %%% thf(spec, logic, $$dhol).
% 1.52/1.36
% 1.52/1.36 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.W1yECnbEiP/DTF2DTF17353.p
% 1.52/1.36 thf('thf_const_const/trivia/I', type, 'const/trivia/I': (!> [A:$tType]: ((A > A)))).
% 1.52/1.36 thf('thf_const_const/sets/SUBSET', type, 'const/sets/SUBSET': (!> [A:$tType]: (((A > $o) > ((A > $o) > $o))))).
% 1.52/1.36 thf('thf_const_const/sets/SETSPEC', type, 'const/sets/SETSPEC': (!> [A:$tType]: ((A > ($o > (A > $o)))))).
% 1.52/1.36 thf('thf_const_const/sets/IN', type, 'const/sets/IN': (!> [A:$tType]: ((A > ((A > $o) > $o))))).
% 1.52/1.36 thf('thf_const_const/sets/GSPEC', type, 'const/sets/GSPEC': (!> [A:$tType]: (((A > $o) > (A > $o))))).
% 1.52/1.36 thf('thf_const_const/sets/FINITE', type, 'const/sets/FINITE': (!> [A:$tType]: (((A > $o) > $o)))).
% 1.52/1.36 thf('thm/trivia/I_THM_', axiom, (! [A:$tType,A0:A]: (((('const/trivia/I' @ A) @ A0) = A0)))).
% 1.52/1.36 thf('thm/sets/FINITE_SUBSET_', axiom, (! [A:$tType,A0:(A > $o),A1:(A > $o)]: ((((('const/sets/FINITE' @ A) @ A1) & ((('const/sets/SUBSET' @ A) @ A0) @ A1)) => (('const/sets/FINITE' @ A) @ A0))))).
% 1.52/1.36 thf('thm/sets/SUBSET_RESTRICT_', axiom, (! [A:$tType,A0:(A > $o),P:(A > $o)]: (((('const/sets/SUBSET' @ A) @ (('const/sets/GSPEC' @ A) @ (^ [A1:A]: ((? [A2:A]: ((((('const/sets/SETSPEC' @ A) @ A1) @ (((('const/sets/IN' @ A) @ A2) @ A0) & (P @ A2))) @ A2))))))) @ A0)))).
% 1.52/1.36 thf('thm/sets/FINITE_RESTRICT_', conjecture, (! [A:$tType,A0:(A > $o),P:(A > $o)]: (((('const/sets/FINITE' @ A) @ A0) => (('const/sets/FINITE' @ A) @ (('const/sets/GSPEC' @ A) @ (^ [A1:A]: ((? [A2:A]: ((((('const/sets/SETSPEC' @ A) @ A1) @ (((('const/sets/IN' @ A) @ A2) @ A0) & (P @ A2))) @ A2))))))))))).
% 1.52/1.36 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.W1yECnbEiP/DTF2DTF17353.p
% 1.52/1.36 ------------------------
% 1.52/1.37 ---- Cleaned THF ---
% 1.52/1.37 thf('thf_const_const/trivia/I',type,
% 1.52/1.37 'const/trivia/I':
% 1.52/1.37 !>[A: $tType] : ( A > A ) ).
% 1.52/1.37
% 1.52/1.37 thf('thf_const_const/sets/SUBSET',type,
% 1.52/1.37 'const/sets/SUBSET':
% 1.52/1.37 !>[A: $tType] : ( ( A > $o ) > ( A > $o ) > $o ) ).
% 1.52/1.37
% 1.52/1.37 thf('thf_const_const/sets/SETSPEC',type,
% 1.52/1.37 'const/sets/SETSPEC':
% 1.52/1.37 !>[A: $tType] : ( A > $o > A > $o ) ).
% 1.52/1.37
% 1.52/1.37 thf('thf_const_const/sets/IN',type,
% 1.52/1.37 'const/sets/IN':
% 1.52/1.37 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 1.52/1.37
% 1.52/1.37 thf('thf_const_const/sets/GSPEC',type,
% 1.52/1.37 'const/sets/GSPEC':
% 1.52/1.37 !>[A: $tType] : ( ( A > $o ) > A > $o ) ).
% 1.52/1.37
% 1.52/1.37 thf('thf_const_const/sets/FINITE',type,
% 1.52/1.37 'const/sets/FINITE':
% 1.52/1.37 !>[A: $tType] : ( ( A > $o ) > $o ) ).
% 1.52/1.37
% 1.52/1.37 thf('thm/trivia/I_THM_',axiom,
% 1.52/1.37 ! [A: $tType,A0: A] :
% 1.52/1.37 ( ( 'const/trivia/I' @ A @ A0 )
% 1.52/1.37 = A0 ) ).
% 1.52/1.37
% 1.52/1.37 thf('thm/sets/FINITE_SUBSET_',axiom,
% 1.52/1.37 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 1.52/1.37 ( ( ( 'const/sets/FINITE' @ A @ A1 )
% 1.52/1.37 & ( 'const/sets/SUBSET' @ A @ A0 @ A1 ) )
% 1.52/1.37 => ( 'const/sets/FINITE' @ A @ A0 ) ) ).
% 1.52/1.37
% 1.52/1.37 thf('thm/sets/SUBSET_RESTRICT_',axiom,
% 1.52/1.37 ! [A: $tType,A0: A > $o,P: A > $o] :
% 1.52/1.37 ( 'const/sets/SUBSET' @ A
% 1.52/1.37 @ ( 'const/sets/GSPEC' @ A
% 1.52/1.37 @ ^ [A1: A] :
% 1.52/1.37 ? [A2: A] :
% 1.52/1.37 ( 'const/sets/SETSPEC' @ A @ A1
% 1.52/1.37 @ ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.52/1.37 & ( P @ A2 ) )
% 1.52/1.37 @ A2 ) )
% 1.52/1.37 @ A0 ) ).
% 1.52/1.37
% 1.52/1.37 thf('thm/sets/FINITE_RESTRICT_',conjecture,
% 1.52/1.37 ! [A: $tType,A0: A > $o,P: A > $o] :
% 1.52/1.37 ( ( 'const/sets/FINITE' @ A @ A0 )
% 1.52/1.37 => ( 'const/sets/FINITE' @ A
% 1.52/1.37 @ ( 'const/sets/GSPEC' @ A
% 1.52/1.37 @ ^ [A1: A] :
% 1.52/1.37 ? [A2: A] :
% 1.52/1.37 ( 'const/sets/SETSPEC' @ A @ A1
% 1.52/1.37 @ ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.52/1.37 & ( P @ A2 ) )
% 1.52/1.37 @ A2 ) ) ) ) ).
% 1.52/1.37 ------------------------
% 1.52/1.38 % (17465)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/183Mi)
% 1.52/1.39 % (17467)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_17353 for (2999ds/27Mi)
% 1.52/1.39 % (17468)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/2Mi)
% 1.52/1.39 % (17469)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_17353 for (2999ds/2Mi)
% 1.52/1.39 % (17471)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/18Mi)
% 1.52/1.39 % (17470)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_17353 for (2999ds/275Mi)
% 1.52/1.39 % Exception at run slice level
% 1.52/1.39 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
% 1.52/1.39 % (17468)Instruction limit reached!
% 1.52/1.39 % (17468)------------------------------
% 1.52/1.39 % (17468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (17468)Termination reason: Unknown
% 1.52/1.39 % (17468)Termination phase: Saturation
% 1.52/1.39
% 1.52/1.39 % (17468)Memory used [KB]: 5500
% 1.52/1.39 % (17468)Time elapsed: 0.003 s
% 1.52/1.39 % (17468)Instructions burned: 2 (million)
% 1.52/1.39 % (17468)------------------------------
% 1.52/1.39 % (17468)------------------------------
% 1.52/1.39 % (17466)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_17353 for (2999ds/4Mi)
% 1.52/1.39 % (17470)Refutation not found, incomplete strategy
% 1.52/1.39 % (17470)------------------------------
% 1.52/1.39 % (17470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (17470)Termination reason: Refutation not found, incomplete strategy
% 1.52/1.39
% 1.52/1.39
% 1.52/1.39 % (17470)Memory used [KB]: 5500
% 1.52/1.39 % (17470)Time elapsed: 0.003 s
% 1.52/1.39 % (17470)Instructions burned: 2 (million)
% 1.52/1.39 % (17470)------------------------------
% 1.52/1.39 % (17470)------------------------------
% 1.52/1.39 % (17466)Instruction limit reached!
% 1.52/1.39 % (17466)------------------------------
% 1.52/1.39 % (17466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.39 % (17466)Termination reason: Unknown
% 1.52/1.39 % (17466)Termination phase: Saturation
% 1.52/1.39
% 1.52/1.39 % (17466)Memory used [KB]: 5500
% 1.52/1.39 % (17466)Time elapsed: 0.004 s
% 1.52/1.39 % (17466)Instructions burned: 5 (million)
% 1.52/1.39 % (17466)------------------------------
% 1.52/1.39 % (17466)------------------------------
% 1.67/1.40 % (17471)Instruction limit reached!
% 1.67/1.40 % (17471)------------------------------
% 1.67/1.40 % (17471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.40 % (17471)Termination reason: Unknown
% 1.67/1.40 % (17471)Termination phase: Saturation
% 1.67/1.40
% 1.67/1.40 % (17471)Memory used [KB]: 5500
% 1.67/1.40 % (17471)Time elapsed: 0.012 s
% 1.67/1.40 % (17471)Instructions burned: 19 (million)
% 1.67/1.40 % (17471)------------------------------
% 1.67/1.40 % (17471)------------------------------
% 1.67/1.40 % (17467)Instruction limit reached!
% 1.67/1.40 % (17467)------------------------------
% 1.67/1.40 % (17467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.40 % (17467)Termination reason: Unknown
% 1.67/1.40 % (17467)Termination phase: Saturation
% 1.67/1.40
% 1.67/1.40 % (17467)Memory used [KB]: 5628
% 1.67/1.40 % (17467)Time elapsed: 0.015 s
% 1.67/1.40 % (17467)Instructions burned: 27 (million)
% 1.67/1.40 % (17467)------------------------------
% 1.67/1.40 % (17467)------------------------------
% 1.67/1.41 % (17472)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/3Mi)
% 1.67/1.41 % (17473)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_17353 for (2999ds/37Mi)
% 1.67/1.41 % Exception at run slice level
% 1.67/1.41 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
% 1.67/1.41 % (17474)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_17353 for (2999ds/15Mi)
% 1.67/1.41 % (17472)Instruction limit reached!
% 1.67/1.41 % (17472)------------------------------
% 1.67/1.41 % (17472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.41 % (17472)Termination reason: Unknown
% 1.67/1.41 % (17472)Termination phase: Saturation
% 1.67/1.41
% 1.67/1.41 % (17472)Memory used [KB]: 5500
% 1.67/1.41 % (17472)Time elapsed: 0.003 s
% 1.67/1.41 % (17472)Instructions burned: 3 (million)
% 1.67/1.41 % (17472)------------------------------
% 1.67/1.41 % (17472)------------------------------
% 1.67/1.41 % (17475)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_17353 for (2999ds/3Mi)
% 1.67/1.41 % (17475)Instruction limit reached!
% 1.67/1.41 % (17475)------------------------------
% 1.67/1.41 % (17475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.41 % (17475)Termination reason: Unknown
% 1.67/1.41 % (17475)Termination phase: Saturation
% 1.67/1.41
% 1.67/1.41 % (17475)Memory used [KB]: 5500
% 1.67/1.41 % (17475)Time elapsed: 0.003 s
% 1.67/1.41 % (17475)Instructions burned: 3 (million)
% 1.67/1.41 % (17475)------------------------------
% 1.67/1.41 % (17475)------------------------------
% 1.67/1.41 % (17476)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_17353 for (2999ds/1041Mi)
% 1.67/1.42 % (17474)Instruction limit reached!
% 1.67/1.42 % (17474)------------------------------
% 1.67/1.42 % (17474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.42 % (17474)Termination reason: Unknown
% 1.67/1.42 % (17474)Termination phase: Saturation
% 1.67/1.42
% 1.67/1.42 % (17474)Memory used [KB]: 5628
% 1.67/1.42 % (17474)Time elapsed: 0.010 s
% 1.67/1.42 % (17474)Instructions burned: 16 (million)
% 1.67/1.42 % (17474)------------------------------
% 1.67/1.42 % (17474)------------------------------
% 1.67/1.42 % Exception at run slice level
% 1.67/1.42 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
% 1.67/1.42 % (17477)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/7Mi)
% 1.67/1.42 % (17477)Instruction limit reached!
% 1.67/1.42 % (17477)------------------------------
% 1.67/1.42 % (17477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.42 % (17477)Termination reason: Unknown
% 1.67/1.42 % (17477)Termination phase: Saturation
% 1.67/1.42
% 1.67/1.42 % (17478)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/16Mi)
% 1.67/1.42 % (17477)Memory used [KB]: 1023
% 1.67/1.42 % (17477)Time elapsed: 0.006 s
% 1.67/1.42 % (17477)Instructions burned: 8 (million)
% 1.67/1.42 % (17477)------------------------------
% 1.67/1.42 % (17477)------------------------------
% 1.67/1.42 % (17479)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_17353 for (2999ds/3Mi)
% 1.67/1.42 % (17479)Instruction limit reached!
% 1.67/1.42 % (17479)------------------------------
% 1.67/1.42 % (17479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.42 % (17479)Termination reason: Unknown
% 1.67/1.42 % (17479)Termination phase: Saturation
% 1.67/1.42
% 1.67/1.42 % (17479)Memory used [KB]: 5500
% 1.67/1.42 % (17479)Time elapsed: 0.003 s
% 1.67/1.42 % (17479)Instructions burned: 3 (million)
% 1.67/1.42 % (17479)------------------------------
% 1.67/1.42 % (17479)------------------------------
% 1.67/1.43 % (17480)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_17353 for (2999ds/3Mi)
% 1.67/1.43 % (17480)Instruction limit reached!
% 1.67/1.43 % (17480)------------------------------
% 1.67/1.43 % (17480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.43 % (17480)Termination reason: Unknown
% 1.67/1.43 % (17480)Termination phase: Saturation
% 1.67/1.43
% 1.67/1.43 % (17480)Memory used [KB]: 1023
% 1.67/1.43 % (17480)Time elapsed: 0.003 s
% 1.67/1.43 % (17480)Instructions burned: 3 (million)
% 1.67/1.43 % (17480)------------------------------
% 1.67/1.43 % (17480)------------------------------
% 1.67/1.43 % (17481)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/7Mi)
% 1.67/1.43 % (17482)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/3Mi)
% 1.67/1.43 % (17478)Instruction limit reached!
% 1.67/1.43 % (17478)------------------------------
% 1.67/1.43 % (17478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.43 % (17478)Termination reason: Unknown
% 1.67/1.43 % (17478)Termination phase: Saturation
% 1.67/1.43
% 1.67/1.43 % (17478)Memory used [KB]: 5628
% 1.67/1.43 % (17478)Time elapsed: 0.011 s
% 1.67/1.43 % (17478)Instructions burned: 17 (million)
% 1.67/1.43 % (17478)------------------------------
% 1.67/1.43 % (17478)------------------------------
% 1.67/1.43 % Exception at run slice level
% 1.67/1.43 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
% 1.67/1.43 % (17481)Instruction limit reached!
% 1.67/1.43 % (17481)------------------------------
% 1.67/1.43 % (17481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.43 % (17481)Termination reason: Unknown
% 1.67/1.43 % (17481)Termination phase: Saturation
% 1.67/1.43
% 1.67/1.43 % (17481)Memory used [KB]: 5500
% 1.67/1.43 % (17481)Time elapsed: 0.005 s
% 1.67/1.43 % (17481)Instructions burned: 7 (million)
% 1.67/1.43 % (17481)------------------------------
% 1.67/1.43 % (17481)------------------------------
% 1.67/1.44 % (17483)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/4Mi)
% 1.67/1.44 % (17465)Instruction limit reached!
% 1.67/1.44 % (17465)------------------------------
% 1.67/1.44 % (17465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (17465)Termination reason: Unknown
% 1.67/1.44 % (17465)Termination phase: Saturation
% 1.67/1.44
% 1.67/1.44 % (17465)Memory used [KB]: 5756
% 1.67/1.44 % (17465)Time elapsed: 0.059 s
% 1.67/1.44 % (17465)Instructions burned: 183 (million)
% 1.67/1.44 % (17465)------------------------------
% 1.67/1.44 % (17465)------------------------------
% 1.67/1.44 % (17484)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/18Mi)
% 1.67/1.44 % (17483)Instruction limit reached!
% 1.67/1.44 % (17483)------------------------------
% 1.67/1.44 % (17483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.44 % (17483)Termination reason: Unknown
% 1.67/1.44 % (17483)Termination phase: Saturation
% 1.67/1.44
% 1.67/1.44 % (17483)Memory used [KB]: 5500
% 1.67/1.44 % (17483)Time elapsed: 0.004 s
% 1.67/1.44 % (17483)Instructions burned: 4 (million)
% 1.67/1.44 % (17483)------------------------------
% 1.67/1.44 % (17483)------------------------------
% 1.67/1.44 % (17485)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/710Mi)
% 1.67/1.45 % (17484)First to succeed.
% 1.67/1.45 % (17486)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17353 for (2999ds/6Mi)
% 1.67/1.45 % (17487)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_17353 for (2999ds/902Mi)
% 1.67/1.45 % (17484)Refutation found. Thanks to Tanya!
% 1.67/1.45 % SZS status Theorem for DTF2THF_17353
% 1.67/1.45 % SZS output start Proof for DTF2THF_17353
% 1.67/1.45 thf(type_def_6, type, sK0: $tType).
% 1.67/1.45 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:(X0 > X0)).
% 1.67/1.45 thf(func_def_1, type, 'const/sets/SUBSET': !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 1.67/1.45 thf(func_def_2, type, 'const/sets/SETSPEC': !>[X0: $tType]:(X0 > $o > X0 > $o)).
% 1.67/1.45 thf(func_def_3, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 1.67/1.45 thf(func_def_4, type, 'const/sets/GSPEC': !>[X0: $tType]:((X0 > $o) > X0 > $o)).
% 1.67/1.45 thf(func_def_5, type, 'const/sets/FINITE': !>[X0: $tType]:((X0 > $o) > $o)).
% 1.67/1.45 thf(func_def_14, type, sK1: sK0 > $o).
% 1.67/1.45 thf(func_def_15, type, sK2: sK0 > $o).
% 1.67/1.45 thf(func_def_17, type, ph4: !>[X0: $tType]:(X0)).
% 1.67/1.45 thf(f32,plain,(
% 1.67/1.45 $false),
% 1.67/1.45 inference(subsumption_resolution,[status(thm)],[f31,f18])).
% 1.67/1.45 thf(f18,plain,(
% 1.67/1.45 ($true = ('const/sets/FINITE' @ sK0 @ sK1))),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f17])).
% 1.67/1.45 thf(f17,plain,(
% 1.67/1.45 (('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((sK2 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1)))))) != $true) & ($true = ('const/sets/FINITE' @ sK0 @ sK1))),
% 1.67/1.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f16])).
% 1.67/1.45 thf(f16,plain,(
% 1.67/1.45 ? [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (($true != ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))))) & (('const/sets/FINITE' @ X0 @ X1) = $true)) => ((('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((sK2 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1)))))) != $true) & ($true = ('const/sets/FINITE' @ sK0 @ sK1)))),
% 1.67/1.45 introduced(definition,[],[choice_axiom])).
% 1.67/1.45 thf(f15,plain,(
% 1.67/1.45 ? [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (($true != ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))))) & (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 1.67/1.45 inference(ennf_transformation,[status(thm)],[f8])).
% 1.67/1.45 thf(f8,plain,(
% 1.67/1.45 ~! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) => ($true = ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))))))),
% 1.67/1.45 inference(fool_elimination,[status(thm)],[f7])).
% 1.67/1.45 thf(f7,plain,(
% 1.67/1.45 ~! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X2 @ X4) @ X4))))))),
% 1.67/1.45 inference(rectify,[status(thm)],[f5])).
% 1.67/1.45 thf(f5,negated_conjecture,(
% 1.67/1.45 ~! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X3 @ X4) @ X4))))))),
% 1.67/1.45 inference(negated_conjecture,[status(cth)],[f4])).
% 1.67/1.45 thf(f4,conjecture,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X3 @ X4) @ X4))))))),
% 1.67/1.45 file('/export/starexec/sandbox/tmp/tmp.W1yECnbEiP/DTF2THF_17353.p','thm/sets/FINITE_RESTRICT_')).
% 1.67/1.45 thf(f31,plain,(
% 1.67/1.45 ($true != ('const/sets/FINITE' @ sK0 @ sK1))),
% 1.67/1.45 inference(trivial_inequality_removal,[status(thm)],[f30])).
% 1.67/1.45 thf(f30,plain,(
% 1.67/1.45 ($true != $true) | ($true != ('const/sets/FINITE' @ sK0 @ sK1))),
% 1.67/1.45 inference(superposition,[status(thm)],[f19,f28])).
% 1.67/1.45 thf(f28,plain,(
% 1.67/1.45 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X1 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X2)) @ Y1)))))) = $true) | (('const/sets/FINITE' @ X0 @ X2) != $true)) )),
% 1.67/1.45 inference(trivial_inequality_removal,[status(thm)],[f27])).
% 1.67/1.45 thf(f27,plain,(
% 1.67/1.45 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : (($true != $true) | (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X1 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X2)) @ Y1)))))) = $true) | (('const/sets/FINITE' @ X0 @ X2) != $true)) )),
% 1.67/1.45 inference(superposition,[status(thm)],[f22,f20])).
% 1.67/1.45 thf(f20,plain,(
% 1.67/1.45 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))) @ X1) = $true)) )),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f10])).
% 1.67/1.45 thf(f10,plain,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))) @ X1) = $true)),
% 1.67/1.45 inference(fool_elimination,[status(thm)],[f9])).
% 1.67/1.45 thf(f9,plain,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X2 @ X4) @ X4)))) @ X1)),
% 1.67/1.45 inference(rectify,[status(thm)],[f3])).
% 1.67/1.45 thf(f3,axiom,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X3 @ X4) @ X4)))) @ X1)),
% 1.67/1.45 file('/export/starexec/sandbox/tmp/tmp.W1yECnbEiP/DTF2THF_17353.p','thm/sets/SUBSET_RESTRICT_')).
% 1.67/1.45 thf(f22,plain,(
% 1.67/1.45 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X1) = $true)) )),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f14])).
% 1.67/1.45 thf(f14,plain,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 1.67/1.45 inference(flattening,[status(thm)],[f13])).
% 1.67/1.45 thf(f13,plain,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) | ((('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true)))),
% 1.67/1.45 inference(ennf_transformation,[status(thm)],[f12])).
% 1.67/1.45 thf(f12,plain,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (((('const/sets/FINITE' @ X0 @ X2) = $true) & (('const/sets/SUBSET' @ X0 @ X1 @ X2) = $true)) => (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 1.67/1.45 inference(fool_elimination,[status(thm)],[f11])).
% 1.67/1.45 thf(f11,plain,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) & ('const/sets/FINITE' @ X0 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 1.67/1.45 inference(rectify,[status(thm)],[f2])).
% 1.67/1.45 thf(f2,axiom,(
% 1.67/1.45 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) & ('const/sets/FINITE' @ X0 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 1.67/1.45 file('/export/starexec/sandbox/tmp/tmp.W1yECnbEiP/DTF2THF_17353.p','thm/sets/FINITE_SUBSET_')).
% 1.67/1.45 thf(f19,plain,(
% 1.67/1.45 (('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((sK2 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1)))))) != $true)),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f17])).
% 1.67/1.45 % SZS output end Proof for DTF2THF_17353
% 1.67/1.45 % (17484)------------------------------
% 1.67/1.45 % (17484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.45 % (17484)Termination reason: Refutation
% 1.67/1.45
% 1.67/1.45 % (17484)Memory used [KB]: 5500
% 1.67/1.45 % (17484)Time elapsed: 0.008 s
% 1.67/1.45 % (17484)Instructions burned: 8 (million)
% 1.67/1.45 % (17484)------------------------------
% 1.67/1.45 % (17484)------------------------------
% 1.67/1.45 % (17464)Success in time 0.067 s
%------------------------------------------------------------------------------