%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV453^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 09:41:16 AM UTC 2026
% Result : Theorem 1.57s 1.37s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 26 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 174 ( 12 ~; 0 |; 9 &; 152 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 59 ( 0 ^; 55 !; 4 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/UNIV':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_1,type,
'const/sets/INTER':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_2,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_11,type,
sK1: sK0 > $o ).
thf(func_def_14,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
sK4:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK5:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK6: sK0 ).
thf(f84,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f83]) ).
thf(f83,plain,
( ( sK1 @ sK6 )
!= ( sK1 @ sK6 ) ),
inference(boolean_simplification,[status(thm)],[f82]) ).
thf(f82,plain,
( ( ( sK1 @ sK6 )
& $true )
!= ( sK1 @ sK6 ) ),
inference(forward_demodulation,[status(thm)],[f81,f32]) ).
thf(f32,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/UNIV' @ X0 @ X1 )
= $true ),
inference(superposition,[status(thm)],[f23,f22]) ).
thf(f22,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= ( X1 @ X2 ) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= ( X1 @ X2 ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= ( X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/IN_') ).
thf(f23,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X2: X0] : ( 'const/sets/IN' @ X0 @ X2 @ 'const/sets/UNIV' @ X0 ),
file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/IN_UNIV_') ).
thf(f81,plain,
( ( sK1 @ sK6 )
!= ( ( sK1 @ sK6 )
& ( 'const/sets/UNIV' @ sK0 @ sK6 ) ) ),
inference(superposition,[status(thm)],[f57,f27]) ).
thf(f27,plain,
! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X1 @ X2 @ X3 )
= ( ( X1 @ X3 )
& ( X2 @ X3 ) ) ),
inference(forward_demodulation,[status(thm)],[f26,f22]) ).
thf(f26,plain,
! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
( ( ( X1 @ X3 )
& ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
= ( 'const/sets/INTER' @ X0 @ X1 @ X2 @ X3 ) ),
inference(forward_demodulation,[status(thm)],[f25,f22]) ).
thf(f25,plain,
! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
& ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
= ( 'const/sets/INTER' @ X0 @ X1 @ X2 @ X3 ) ),
inference(forward_demodulation,[status(thm)],[f21,f22]) ).
thf(f21,plain,
! [X0: $tType,X2: X0 > $o,X3: X0,X1: X0 > $o] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
& ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
= ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
& ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
= ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) ) ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
! [X0: $tType,X1: X0 > $o,X2: X0 > $o,X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ ( 'const/sets/INTER' @ X0 @ X1 @ X2 ) )
= ( 'const/sets/IN' @ X0 @ X3 @ X2 ) )
& ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
! [X0: $tType,X2: X0 > $o,X3: X0 > $o,X4: X0] :
( ( ( 'const/sets/IN' @ X0 @ X4 @ ( 'const/sets/INTER' @ X0 @ X2 @ X3 ) )
= ( 'const/sets/IN' @ X0 @ X4 @ X3 ) )
& ( 'const/sets/IN' @ X0 @ X4 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/IN_INTER_') ).
thf(f57,plain,
( ( sK1 @ sK6 )
!= ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK6 ) ),
inference(negative_extensionality,[status(thm)],[f20]) ).
thf(f20,plain,
( sK1
!= ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
( sK1
!= ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
thf(f18,plain,
( ? [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
!= X1 )
=> ( sK1
!= ( 'const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
? [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
!= X1 ),
inference(ennf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
~ ! [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
= X1 ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
~ ! [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
= X1 ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,negated_conjecture,
~ ! [X0: $tType,X2: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X2 @ 'const/sets/UNIV' @ X0 )
= X2 ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f5,conjecture,
! [X0: $tType,X2: X0 > $o] :
( ( 'const/sets/INTER' @ X0 @ X2 @ 'const/sets/UNIV' @ X0 )
= X2 ),
file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/INTER_UNIV_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV453^1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.31 % Computer : n001.cluster.edu
% 0.14/0.31 % Model : x86_64 x86_64
% 0.14/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.31 % Memory : 8042.1875MB
% 0.14/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31 % CPULimit : 300
% 0.14/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Tue Feb 24 12:47:50 EST 2026
% 0.14/0.31 % CPUTime :
% 0.14/0.31 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.42 ---- Original DTF file ---
% 0.20/0.42 thf(spec,logic,$$dhol).
% 0.20/0.42 %------------------------------------------------------------------------------
% 0.20/0.42 % File : SEV453^1 : TPTP v9.2.1. Released v7.0.0.
% 0.20/0.42 % Domain : Analysis
% 0.20/0.42 % Problem : INTER_UNIV_
% 0.20/0.42 % Version : Especial.
% 0.20/0.42 % English :
% 0.20/0.42
% 0.20/0.42 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.20/0.42 % Source : [Kal16]
% 0.20/0.42 % Names : INTER_UNIV_1.p [Kal16]
% 0.20/0.42
% 0.20/0.42 % Status : Theorem
% 0.20/0.42 % Rating : 0.33 v8.1.0, 0.25 v7.5.0, 0.00 v7.1.0
% 0.20/0.42 % Syntax : Number of formulae : 8 ( 4 unt; 3 typ; 0 def)
% 0.20/0.42 % Number of atoms : 17 ( 6 equ; 0 cnn)
% 0.20/0.42 % Maximal formula atoms : 2 ( 3 avg)
% 0.20/0.42 % Number of connectives : 31 ( 0 ~; 0 |; 1 &; 30 @)
% 0.20/0.42 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.42 % Maximal formula depth : 6 ( 4 avg)
% 0.20/0.42 % Number of types : 1 ( 0 usr)
% 0.20/0.42 % Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% 0.20/0.42 % Number of symbols : 4 ( 3 usr; 0 con; 2-4 aty)
% 0.20/0.42 % Number of variables : 18 ( 0 ^; 15 !; 0 ?; 18 :)
% 0.20/0.42 % ( 3 !>; 0 ?*; 0 @-; 0 @+)
% 0.20/0.42 % SPC : TH1_THM_EQU_NAR
% 0.20/0.42
% 0.20/0.42 % Comments : Exported from core HOL Light.
% 0.20/0.42 %------------------------------------------------------------------------------
% 0.20/0.42 thf('thf_const_const/sets/UNIV',type,
% 0.20/0.42 'const/sets/UNIV':
% 0.20/0.42 !>[A: $tType] : ( A > $o ) ).
% 0.20/0.42
% 0.20/0.42 thf('thf_const_const/sets/INTER',type,
% 0.20/0.42 'const/sets/INTER':
% 0.20/0.42 !>[A: $tType] : ( ( A > $o ) > ( A > $o ) > A > $o ) ).
% 0.20/0.42
% 0.20/0.42 thf('thf_const_const/sets/IN',type,
% 0.20/0.42 'const/sets/IN':
% 0.20/0.42 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 0.20/0.42
% 0.20/0.42 thf('thm/sets/IN_',axiom,
% 0.20/0.42 ! [A: $tType,P: A > $o,A0: A] :
% 0.20/0.42 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 0.20/0.42 = ( P @ A0 ) ) ).
% 0.20/0.42
% 0.20/0.42 thf('thm/sets/IN_UNIV_',axiom,
% 0.20/0.42 ! [A: $tType,A0: A] : ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/UNIV' @ A ) ) ).
% 0.20/0.42
% 0.20/0.42 thf('thm/sets/IN_INTER_',axiom,
% 0.20/0.42 ! [A: $tType,A0: A > $o,A1: A > $o,A2: A] :
% 0.20/0.42 ( ( 'const/sets/IN' @ A @ A2 @ ( 'const/sets/INTER' @ A @ A0 @ A1 ) )
% 0.20/0.42 = ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.20/0.42 & ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ).
% 0.20/0.42
% 0.20/0.42 thf('thm/sets/EXTENSION_',axiom,
% 0.20/0.42 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 0.20/0.42 ( ( A0 = A1 )
% 0.20/0.42 = ( ! [A2: A] :
% 0.20/0.42 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 0.20/0.42 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 0.20/0.42
% 0.20/0.42 thf('thm/sets/INTER_UNIV_1',conjecture,
% 0.20/0.42 ! [A: $tType,A0: A > $o] :
% 0.20/0.42 ( ( 'const/sets/INTER' @ A @ A0 @ ( 'const/sets/UNIV' @ A ) )
% 0.20/0.42 = A0 ) ).
% 0.20/0.42
% 0.20/0.42 %------------------------------------------------------------------------------
% 0.20/0.43 ------------------------
% 1.50/1.23 ---- Embedded in THF ---
% 1.50/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.24 %%% Generated on Tue Feb 24 12:47:51 EST 2026
% 1.50/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.24 %%% Logic specification used:
% 1.50/1.24 %%% thf(spec, logic, $$dhol).
% 1.50/1.24
% 1.50/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2DTF28372.p
% See solution above
% 1.50/1.24 ------------------------
% 1.50/1.25 ---- Cleaned THF ---
% 1.50/1.25 thf('thf_const_const/sets/UNIV',type,
% 1.50/1.25 'const/sets/UNIV':
% 1.50/1.25 !>[A: $tType] : ( A > $o ) ).
% 1.50/1.25
% 1.50/1.25 thf('thf_const_const/sets/INTER',type,
% 1.50/1.25 'const/sets/INTER':
% 1.50/1.25 !>[A: $tType] : ( ( A > $o ) > ( A > $o ) > A > $o ) ).
% 1.50/1.25
% 1.50/1.25 thf('thf_const_const/sets/IN',type,
% 1.50/1.25 'const/sets/IN':
% 1.50/1.25 !>[A: $tType] : ( A > ( A > $o ) > $o ) ).
% 1.50/1.25
% 1.50/1.25 thf('thm/sets/IN_',axiom,
% 1.50/1.25 ! [A: $tType,P: A > $o,A0: A] :
% 1.50/1.25 ( ( 'const/sets/IN' @ A @ A0 @ P )
% 1.50/1.25 = ( P @ A0 ) ) ).
% 1.50/1.25
% 1.50/1.25 thf('thm/sets/IN_UNIV_',axiom,
% 1.50/1.25 ! [A: $tType,A0: A] : ( 'const/sets/IN' @ A @ A0 @ ( 'const/sets/UNIV' @ A ) ) ).
% 1.50/1.25
% 1.50/1.25 thf('thm/sets/IN_INTER_',axiom,
% 1.50/1.25 ! [A: $tType,A0: A > $o,A1: A > $o,A2: A] :
% 1.50/1.25 ( ( 'const/sets/IN' @ A @ A2 @ ( 'const/sets/INTER' @ A @ A0 @ A1 ) )
% 1.50/1.25 = ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.50/1.25 & ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ).
% 1.50/1.25
% 1.50/1.25 thf('thm/sets/EXTENSION_',axiom,
% 1.50/1.25 ! [A: $tType,A0: A > $o,A1: A > $o] :
% 1.50/1.25 ( ( A0 = A1 )
% 1.50/1.25 = ( ! [A2: A] :
% 1.50/1.25 ( ( 'const/sets/IN' @ A @ A2 @ A0 )
% 1.50/1.25 = ( 'const/sets/IN' @ A @ A2 @ A1 ) ) ) ) ).
% 1.50/1.25
% 1.50/1.25 thf('thm/sets/INTER_UNIV_1',conjecture,
% 1.50/1.25 ! [A: $tType,A0: A > $o] :
% 1.50/1.25 ( ( 'const/sets/INTER' @ A @ A0 @ ( 'const/sets/UNIV' @ A ) )
% 1.50/1.25 = A0 ) ).
% 1.50/1.25 ------------------------
% 1.50/1.26 % (28547)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_28372 for (2999ds/4Mi)
% 1.50/1.26 % (28548)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_28372 for (2999ds/27Mi)
% 1.50/1.26 % (28552)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/18Mi)
% 1.50/1.26 % (28547)Instruction limit reached!
% 1.50/1.26 % (28547)------------------------------
% 1.50/1.26 % (28547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.26 % (28547)Termination reason: Unknown
% 1.50/1.26 % (28547)Termination phase: Saturation
% 1.50/1.26
% 1.50/1.26 % (28547)Memory used [KB]: 5500
% 1.50/1.26 % (28547)Time elapsed: 0.003 s
% 1.50/1.26 % (28547)Instructions burned: 5 (million)
% 1.50/1.26 % (28547)------------------------------
% 1.50/1.26 % (28547)------------------------------
% 1.50/1.27 % (28551)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_28372 for (2999ds/275Mi)
% 1.50/1.27 % (28546)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/183Mi)
% 1.50/1.27 % (28549)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/2Mi)
% 1.50/1.27 % (28550)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_28372 for (2999ds/2Mi)
% 1.50/1.27 % (28549)Instruction limit reached!
% 1.50/1.27 % (28549)------------------------------
% 1.50/1.27 % (28549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (28549)Termination reason: Unknown
% 1.50/1.27 % (28549)Termination phase: Property scanning
% 1.50/1.27
% 1.50/1.27 % (28549)Memory used [KB]: 895
% 1.50/1.27 % (28549)Time elapsed: 0.003 s
% 1.50/1.27 % (28549)Instructions burned: 2 (million)
% 1.50/1.27 % (28549)------------------------------
% 1.50/1.27 % (28549)------------------------------
% 1.50/1.27 % (28550)Instruction limit reached!
% 1.50/1.27 % (28550)------------------------------
% 1.50/1.27 % (28550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (28550)Termination reason: Unknown
% 1.50/1.27 % (28550)Termination phase: shuffling
% 1.50/1.27
% 1.50/1.27 % (28550)Memory used [KB]: 895
% 1.50/1.27 % (28550)Time elapsed: 0.003 s
% 1.50/1.27 % (28550)Instructions burned: 2 (million)
% 1.50/1.27 % (28550)------------------------------
% 1.50/1.27 % (28550)------------------------------
% 1.50/1.27 % (28552)Instruction limit reached!
% 1.50/1.27 % (28552)------------------------------
% 1.50/1.27 % (28552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (28552)Termination reason: Unknown
% 1.50/1.27 % (28552)Termination phase: Saturation
% 1.50/1.27
% 1.50/1.27 % (28552)Memory used [KB]: 5628
% 1.50/1.27 % (28552)Time elapsed: 0.009 s
% 1.50/1.27 % (28552)Instructions burned: 20 (million)
% 1.50/1.27 % (28552)------------------------------
% 1.50/1.27 % (28552)------------------------------
% 1.50/1.27 % (28551)Refutation not found, incomplete strategy
% 1.50/1.27 % (28551)------------------------------
% 1.50/1.27 % (28551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (28551)Termination reason: Refutation not found, incomplete strategy
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 % (28551)Memory used [KB]: 5500
% 1.50/1.27 % (28551)Time elapsed: 0.004 s
% 1.50/1.27 % (28551)Instructions burned: 3 (million)
% 1.50/1.27 % (28551)------------------------------
% 1.50/1.27 % (28551)------------------------------
% 1.50/1.27 % (28548)Instruction limit reached!
% 1.50/1.27 % (28548)------------------------------
% 1.50/1.27 % (28548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (28548)Termination reason: Unknown
% 1.50/1.27 % (28548)Termination phase: Saturation
% 1.50/1.27
% 1.50/1.27 % (28548)Memory used [KB]: 5628
% 1.50/1.27 % (28548)Time elapsed: 0.011 s
% 1.50/1.27 % (28548)Instructions burned: 29 (million)
% 1.50/1.27 % (28548)------------------------------
% 1.50/1.27 % (28548)------------------------------
% 1.50/1.27 % (28553)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/3Mi)
% 1.50/1.27 % (28553)Instruction limit reached!
% 1.50/1.27 % (28553)------------------------------
% 1.50/1.27 % (28553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (28553)Termination reason: Unknown
% 1.50/1.27 % (28553)Termination phase: Saturation
% 1.50/1.27
% 1.50/1.27 % (28553)Memory used [KB]: 5500
% 1.50/1.27 % (28553)Time elapsed: 0.002 s
% 1.50/1.27 % (28553)Instructions burned: 3 (million)
% 1.50/1.27 % (28553)------------------------------
% 1.50/1.27 % (28553)------------------------------
% 1.50/1.28 % (28557)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_28372 for (2999ds/1041Mi)
% 1.50/1.28 % Exception at run slice level
% 1.50/1.28 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
% 1.50/1.28 % (28559)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/16Mi)
% 1.50/1.29 % (28554)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_28372 for (2999ds/37Mi)
% 1.50/1.29 % (28555)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_28372 for (2999ds/15Mi)
% 1.50/1.29 % (28556)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_28372 for (2999ds/3Mi)
% 1.50/1.29 % Exception at run slice level
% 1.50/1.29 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
% 1.50/1.29 % (28559)Instruction limit reached!
% 1.50/1.29 % (28559)------------------------------
% 1.50/1.29 % (28559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (28559)Termination reason: Unknown
% 1.50/1.29 % (28559)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (28559)Memory used [KB]: 5628
% 1.50/1.29 % (28559)Time elapsed: 0.007 s
% 1.50/1.29 % (28559)Instructions burned: 17 (million)
% 1.50/1.29 % (28559)------------------------------
% 1.50/1.29 % (28559)------------------------------
% 1.50/1.29 % (28558)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/7Mi)
% 1.50/1.29 % (28556)Instruction limit reached!
% 1.50/1.29 % (28556)------------------------------
% 1.50/1.29 % (28556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (28556)Termination reason: Unknown
% 1.50/1.29 % (28556)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (28556)Memory used [KB]: 5500
% 1.50/1.29 % (28556)Time elapsed: 0.004 s
% 1.50/1.29 % (28556)Instructions burned: 3 (million)
% 1.50/1.29 % (28556)------------------------------
% 1.50/1.29 % (28556)------------------------------
% 1.50/1.29 % (28560)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_28372 for (2999ds/3Mi)
% 1.50/1.29 % (28555)Refutation not found, incomplete strategy
% 1.50/1.29 % (28555)------------------------------
% 1.50/1.29 % (28555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (28555)Termination reason: Refutation not found, incomplete strategy
% 1.50/1.29
% 1.50/1.29
% 1.50/1.29 % (28555)Memory used [KB]: 5500
% 1.50/1.29 % (28555)Time elapsed: 0.005 s
% 1.50/1.29 % (28555)Instructions burned: 4 (million)
% 1.50/1.29 % (28555)------------------------------
% 1.50/1.29 % (28555)------------------------------
% 1.50/1.29 % (28560)Instruction limit reached!
% 1.50/1.29 % (28560)------------------------------
% 1.50/1.29 % (28560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (28560)Termination reason: Unknown
% 1.50/1.29 % (28560)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (28560)Memory used [KB]: 5500
% 1.50/1.29 % (28560)Time elapsed: 0.002 s
% 1.50/1.29 % (28560)Instructions burned: 3 (million)
% 1.50/1.29 % (28560)------------------------------
% 1.50/1.29 % (28560)------------------------------
% 1.50/1.29 % (28558)Instruction limit reached!
% 1.50/1.29 % (28558)------------------------------
% 1.50/1.29 % (28558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (28558)Termination reason: Unknown
% 1.50/1.29 % (28558)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (28558)Memory used [KB]: 1023
% 1.50/1.29 % (28558)Time elapsed: 0.007 s
% 1.50/1.29 % (28558)Instructions burned: 7 (million)
% 1.50/1.29 % (28558)------------------------------
% 1.50/1.29 % (28558)------------------------------
% 1.57/1.30 % (28562)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/7Mi)
% 1.57/1.30 % (28564)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/4Mi)
% 1.57/1.30 % (28562)Instruction limit reached!
% 1.57/1.30 % (28562)------------------------------
% 1.57/1.30 % (28562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.30 % (28562)Termination reason: Unknown
% 1.57/1.30 % (28562)Termination phase: Saturation
% 1.57/1.30
% 1.57/1.30 % (28562)Memory used [KB]: 5500
% 1.57/1.30 % (28562)Time elapsed: 0.004 s
% 1.57/1.30 % (28562)Instructions burned: 9 (million)
% 1.57/1.30 % (28562)------------------------------
% 1.57/1.30 % (28562)------------------------------
% 1.57/1.30 % (28564)Instruction limit reached!
% 1.57/1.30 % (28564)------------------------------
% 1.57/1.30 % (28564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.30 % (28564)Termination reason: Unknown
% 1.57/1.30 % (28564)Termination phase: Saturation
% 1.57/1.30
% 1.57/1.30 % (28564)Memory used [KB]: 5500
% 1.57/1.30 % (28564)Time elapsed: 0.003 s
% 1.57/1.30 % (28564)Instructions burned: 6 (million)
% 1.57/1.30 % (28564)------------------------------
% 1.57/1.30 % (28564)------------------------------
% 1.57/1.31 % (28561)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_28372 for (2999ds/3Mi)
% 1.57/1.31 % (28563)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/3Mi)
% 1.57/1.31 % (28561)Instruction limit reached!
% 1.57/1.31 % (28561)------------------------------
% 1.57/1.31 % (28561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.31 % (28561)Termination reason: Unknown
% 1.57/1.31 % (28561)Termination phase: Saturation
% 1.57/1.31
% 1.57/1.31 % (28561)Memory used [KB]: 1023
% 1.57/1.31 % (28561)Time elapsed: 0.004 s
% 1.57/1.31 % (28561)Instructions burned: 4 (million)
% 1.57/1.31 % (28561)------------------------------
% 1.57/1.31 % (28561)------------------------------
% 1.57/1.31 % Exception at run slice level
% 1.57/1.31 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
% 1.57/1.31 % (28565)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/18Mi)
% 1.57/1.31 % (28567)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/6Mi)
% 1.57/1.31 % (28566)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/710Mi)
% 1.57/1.31 % (28568)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_28372 for (2999ds/902Mi)
% 1.57/1.31 % (28567)Instruction limit reached!
% 1.57/1.31 % (28567)------------------------------
% 1.57/1.31 % (28567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.31 % (28567)Termination reason: Unknown
% 1.57/1.31 % (28567)Termination phase: Saturation
% 1.57/1.31
% 1.57/1.31 % (28567)Memory used [KB]: 5500
% 1.57/1.31 % (28567)Time elapsed: 0.003 s
% 1.57/1.31 % (28567)Instructions burned: 6 (million)
% 1.57/1.31 % (28567)------------------------------
% 1.57/1.31 % (28567)------------------------------
% 1.57/1.31 % (28568)Refutation not found, incomplete strategy
% 1.57/1.31 % (28568)------------------------------
% 1.57/1.31 % (28568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.31 % (28568)Termination reason: Refutation not found, incomplete strategy
% 1.57/1.31
% 1.57/1.31
% 1.57/1.31 % (28568)Memory used [KB]: 5500
% 1.57/1.31 % (28568)Time elapsed: 0.002 s
% 1.57/1.31 % (28568)Instructions burned: 3 (million)
% 1.57/1.31 % (28568)------------------------------
% 1.57/1.31 % (28568)------------------------------
% 1.57/1.32 % (28565)Instruction limit reached!
% 1.57/1.32 % (28565)------------------------------
% 1.57/1.32 % (28565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.32 % (28565)Termination reason: Unknown
% 1.57/1.32 % (28565)Termination phase: Saturation
% 1.57/1.32
% 1.57/1.32 % (28565)Memory used [KB]: 5500
% 1.57/1.32 % (28565)Time elapsed: 0.013 s
% 1.57/1.32 % (28565)Instructions burned: 18 (million)
% 1.57/1.32 % (28565)------------------------------
% 1.57/1.32 % (28565)------------------------------
% 1.57/1.32 % (28571)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_28372 for (2999ds/6Mi)
% 1.57/1.32 % Exception at run slice level
% 1.57/1.32 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
% 1.57/1.32 % (28572)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/377Mi)
% 1.57/1.33 % (28569)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_28372 for (2999ds/21Mi)
% 1.57/1.33 % (28570)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/5Mi)
% 1.57/1.33 % Exception at run slice level
% 1.57/1.33 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
% 1.57/1.33 % (28574)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_28372 for (2999ds/19Mi)
% 1.57/1.33 % Exception at run slice level
% 1.57/1.33 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
% 1.57/1.33 % (28573)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_28372 for (2999ds/779Mi)
% 1.57/1.33 % Exception at run slice level
% 1.57/1.33 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
% 1.57/1.34 % (28569)Instruction limit reached!
% 1.57/1.34 % (28569)------------------------------
% 1.57/1.34 % (28569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.34 % (28569)Termination reason: Unknown
% 1.57/1.34 % (28569)Termination phase: Saturation
% 1.57/1.34
% 1.57/1.34 % (28569)Memory used [KB]: 5628
% 1.57/1.34 % (28569)Time elapsed: 0.016 s
% 1.57/1.34 % (28569)Instructions burned: 21 (million)
% 1.57/1.34 % (28569)------------------------------
% 1.57/1.34 % (28569)------------------------------
% 1.57/1.34 % (28577)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/3Mi)
% 1.57/1.34 % (28577)Instruction limit reached!
% 1.57/1.34 % (28577)------------------------------
% 1.57/1.34 % (28577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.34 % (28577)Termination reason: Unknown
% 1.57/1.34 % (28577)Termination phase: Saturation
% 1.57/1.34
% 1.57/1.34 % (28577)Memory used [KB]: 1023
% 1.57/1.34 % (28577)Time elapsed: 0.003 s
% 1.57/1.34 % (28577)Instructions burned: 3 (million)
% 1.57/1.34 % (28577)------------------------------
% 1.57/1.34 % (28577)------------------------------
% 1.57/1.35 % (28575)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/879Mi)
% 1.57/1.35 % (28579)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/127Mi)
% 1.57/1.36 % (28578)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/30Mi)
% 1.57/1.36 % (28576)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_28372 for (2999ds/17Mi)
% 1.57/1.37 % (28578)First to succeed.
% 1.57/1.37 % (28578)Refutation found. Thanks to Tanya!
% 1.57/1.37 % SZS status Theorem for DTF2THF_28372
% 1.57/1.37 % SZS output start Proof for DTF2THF_28372
% 1.57/1.37 thf(type_def_6, type, sK0: $tType).
% 1.57/1.37 thf(func_def_0, type, 'const/sets/UNIV': !>[X0: $tType]:(X0 > $o)).
% 1.57/1.37 thf(func_def_1, type, 'const/sets/INTER': !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0 > $o)).
% 1.57/1.37 thf(func_def_2, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 1.57/1.37 thf(func_def_11, type, sK1: sK0 > $o).
% 1.57/1.37 thf(func_def_14, type, ph3: !>[X0: $tType]:(X0)).
% 1.57/1.37 thf(func_def_15, type, sK4: !>[X0: $tType]:(X0)).
% 1.57/1.37 thf(func_def_16, type, sK5: !>[X0: $tType]:(X0)).
% 1.57/1.37 thf(func_def_17, type, sK6: sK0).
% 1.57/1.37 thf(f84,plain,(
% 1.57/1.37 $false),
% 1.57/1.37 inference(trivial_inequality_removal,[status(thm)],[f83])).
% 1.57/1.37 thf(f83,plain,(
% 1.57/1.37 ((sK1 @ sK6) != (sK1 @ sK6))),
% 1.57/1.37 inference(boolean_simplification,[status(thm)],[f82])).
% 1.57/1.37 thf(f82,plain,(
% 1.57/1.37 (((sK1 @ sK6) & $true) != (sK1 @ sK6))),
% 1.57/1.37 inference(forward_demodulation,[status(thm)],[f81,f32])).
% 1.57/1.37 thf(f32,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X1 : X0] : ((('const/sets/UNIV' @ X0 @ X1) = $true)) )),
% 1.57/1.37 inference(superposition,[status(thm)],[f23,f22])).
% 1.57/1.37 thf(f22,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : ((('const/sets/IN' @ X0 @ X2 @ X1) = (X1 @ X2))) )),
% 1.57/1.37 inference(cnf_transformation,[status(thm)],[f10])).
% 1.57/1.37 thf(f10,plain,(
% 1.57/1.37 ! [X0 : $tType,X1 : X0 > $o,X2 : X0] : (('const/sets/IN' @ X0 @ X2 @ X1) = (X1 @ X2))),
% 1.57/1.37 inference(fool_elimination,[status(thm)],[f1])).
% 1.57/1.37 thf(f1,axiom,(
% 1.57/1.37 ! [X0 : $tType,X1 : X0 > $o,X2 : X0] : (('const/sets/IN' @ X0 @ X2 @ X1) = (X1 @ X2))),
% 1.57/1.37 file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/IN_')).
% 1.57/1.37 thf(f23,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X1 : X0] : ((('const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0) = $true)) )),
% 1.57/1.37 inference(cnf_transformation,[status(thm)],[f12])).
% 1.57/1.37 thf(f12,plain,(
% 1.57/1.37 ! [X0 : $tType,X1 : X0] : (('const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0) = $true)),
% 1.57/1.37 inference(fool_elimination,[status(thm)],[f11])).
% 1.57/1.37 thf(f11,plain,(
% 1.57/1.37 ! [X0 : $tType,X1 : X0] : ('const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0)),
% 1.57/1.37 inference(rectify,[status(thm)],[f2])).
% 1.57/1.37 thf(f2,axiom,(
% 1.57/1.37 ! [X0 : $tType,X2 : X0] : ('const/sets/IN' @ X0 @ X2 @ 'const/sets/UNIV' @ X0)),
% 1.57/1.37 file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/IN_UNIV_')).
% 1.57/1.37 thf(f81,plain,(
% 1.57/1.37 ((sK1 @ sK6) != ((sK1 @ sK6) & ('const/sets/UNIV' @ sK0 @ sK6)))),
% 1.57/1.37 inference(superposition,[status(thm)],[f57,f27])).
% 1.57/1.37 thf(f27,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X2 : X0 > $o,X3 : X0,X1 : X0 > $o] : ((('const/sets/INTER' @ X0 @ X1 @ X2 @ X3) = ((X1 @ X3) & (X2 @ X3)))) )),
% 1.57/1.37 inference(forward_demodulation,[status(thm)],[f26,f22])).
% 1.57/1.37 thf(f26,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X2 : X0 > $o,X3 : X0,X1 : X0 > $o] : ((((X1 @ X3) & ('const/sets/IN' @ X0 @ X3 @ X2)) = ('const/sets/INTER' @ X0 @ X1 @ X2 @ X3))) )),
% 1.57/1.37 inference(forward_demodulation,[status(thm)],[f25,f22])).
% 1.57/1.37 thf(f25,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X2 : X0 > $o,X3 : X0,X1 : X0 > $o] : (((('const/sets/IN' @ X0 @ X3 @ X1) & ('const/sets/IN' @ X0 @ X3 @ X2)) = ('const/sets/INTER' @ X0 @ X1 @ X2 @ X3))) )),
% 1.57/1.37 inference(forward_demodulation,[status(thm)],[f21,f22])).
% 1.57/1.37 thf(f21,plain,(
% 1.57/1.37 ( ! [X0 : $tType,X2 : X0 > $o,X3 : X0,X1 : X0 > $o] : (((('const/sets/IN' @ X0 @ X3 @ X1) & ('const/sets/IN' @ X0 @ X3 @ X2)) = ('const/sets/IN' @ X0 @ X3 @ ('const/sets/INTER' @ X0 @ X1 @ X2)))) )),
% 1.57/1.37 inference(cnf_transformation,[status(thm)],[f14])).
% 1.57/1.37 thf(f14,plain,(
% 1.57/1.37 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o,X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1) & ('const/sets/IN' @ X0 @ X3 @ X2)) = ('const/sets/IN' @ X0 @ X3 @ ('const/sets/INTER' @ X0 @ X1 @ X2)))),
% 1.57/1.37 inference(fool_elimination,[status(thm)],[f13])).
% 1.57/1.37 thf(f13,plain,(
% 1.57/1.37 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o,X3 : X0] : (('const/sets/IN' @ X0 @ X3 @ ('const/sets/INTER' @ X0 @ X1 @ X2)) = ('const/sets/IN' @ X0 @ X3 @ X2) & ('const/sets/IN' @ X0 @ X3 @ X1))),
% 1.57/1.37 inference(rectify,[status(thm)],[f3])).
% 1.57/1.37 thf(f3,axiom,(
% 1.57/1.37 ! [X0 : $tType,X2 : X0 > $o,X3 : X0 > $o,X4 : X0] : (('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3)) = ('const/sets/IN' @ X0 @ X4 @ X3) & ('const/sets/IN' @ X0 @ X4 @ X2))),
% 1.57/1.37 file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/IN_INTER_')).
% 1.57/1.37 thf(f57,plain,(
% 1.57/1.37 ((sK1 @ sK6) != ('const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 @ sK6))),
% 1.57/1.37 inference(negative_extensionality,[status(thm)],[f20])).
% 1.57/1.37 thf(f20,plain,(
% 1.57/1.37 (sK1 != ('const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0))),
% 1.57/1.37 inference(cnf_transformation,[status(thm)],[f19])).
% 1.57/1.37 thf(f19,plain,(
% 1.57/1.37 (sK1 != ('const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0))),
% 1.57/1.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18])).
% 1.57/1.37 thf(f18,plain,(
% 1.57/1.37 ? [X0 : $tType,X1 : X0 > $o] : (('const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0) != X1) => (sK1 != ('const/sets/INTER' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0))),
% 1.57/1.37 introduced(definition,[],[choice_axiom])).
% 1.57/1.37 thf(f17,plain,(
% 1.57/1.37 ? [X0 : $tType,X1 : X0 > $o] : (('const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0) != X1)),
% 1.57/1.37 inference(ennf_transformation,[status(thm)],[f16])).
% 1.57/1.37 thf(f16,plain,(
% 1.57/1.37 ~! [X0 : $tType,X1 : X0 > $o] : (('const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0) = X1)),
% 1.57/1.37 inference(fool_elimination,[status(thm)],[f15])).
% 1.57/1.37 thf(f15,plain,(
% 1.57/1.37 ~! [X0 : $tType,X1 : X0 > $o] : (('const/sets/INTER' @ X0 @ X1 @ 'const/sets/UNIV' @ X0) = X1)),
% 1.57/1.37 inference(rectify,[status(thm)],[f6])).
% 1.57/1.37 thf(f6,negated_conjecture,(
% 1.57/1.37 ~! [X0 : $tType,X2 : X0 > $o] : (('const/sets/INTER' @ X0 @ X2 @ 'const/sets/UNIV' @ X0) = X2)),
% 1.57/1.37 inference(negated_conjecture,[status(cth)],[f5])).
% 1.57/1.37 thf(f5,conjecture,(
% 1.57/1.37 ! [X0 : $tType,X2 : X0 > $o] : (('const/sets/INTER' @ X0 @ X2 @ 'const/sets/UNIV' @ X0) = X2)),
% 1.57/1.37 file('/export/starexec/sandbox2/tmp/tmp.Zz2WrCzj1M/DTF2THF_28372.p','thm/sets/INTER_UNIV_1')).
% 1.57/1.37 % SZS output end Proof for DTF2THF_28372
% 1.57/1.37 % (28578)------------------------------
% 1.57/1.37 % (28578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.37 % (28578)Termination reason: Refutation
% 1.57/1.37
% 1.57/1.37 % (28578)Memory used [KB]: 5628
% 1.57/1.37 % (28578)Time elapsed: 0.014 s
% 1.57/1.37 % (28578)Instructions burned: 20 (million)
% 1.57/1.37 % (28578)------------------------------
% 1.57/1.37 % (28578)------------------------------
% 1.57/1.37 % (28545)Success in time 0.105 s
%------------------------------------------------------------------------------