%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL431-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:58:38 AM UTC 2026
% Result : Unsatisfiable 2.91s 0.80s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1928,axiom,
! [X0,X1] : c_minus(X0,X0,tc_set(X1)) = c_emptyset,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__cancel_0) ).
fof(f1929,plain,
! [X0,X1] : c_emptyset = c_minus(X0,X0,tc_set(X1)),
inference(reorient_equations,[],[f1928]) ).
fof(f3309,axiom,
! [X2,X3,X0,X1] :
( ~ c_PropLog_Osat(c_emptyset,X0,X1)
| c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).
fof(f3338,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3339,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f19184,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_PropLog_Ohyps(v_p,X1,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f3309,f3338]) ).
fof(f23031,plain,
c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[],[f19184,f1929]) ).
fof(f23032,plain,
$false,
inference(forward_subsumption_resolution,[],[f23031,f3339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL431-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 15:42:20 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.33 Running first-order model finding
% 0.03/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.91/0.80 % (2537634)Will run a generic schedule for satisfiability detection.
% 2.91/0.80 % (2537644)% WARNING: option uhcvi not known.
% 2.91/0.80 % (2537648)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=197037339:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.91/0.80 % (2537646)dis+10_1_sil=32000:sp=arity:random_seed=1711044856:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.91/0.80 % (2537645)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2904107867:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.91/0.80 % (2537644)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1119864581:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.91/0.80 % (2537643)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=627156847_2999 on theBenchmark for (2999ds/0Mi)
% 2.91/0.80 % (2537647)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3642763116:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.91/0.80 % (2537649)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=445120012:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.91/0.80 % (2537646)Instruction limit reached!
% 2.91/0.80 % (2537646)------------------------------
% 2.91/0.80 % (2537646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537646)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537646)Termination reason: Instruction limit
% 2.91/0.80 % (2537646)Termination phase: Saturation
% 2.91/0.80 % (2537646)Time elapsed: 0.034 s
% 2.91/0.80 % (2537646)Peak memory usage: 15 MB
% 2.91/0.80 % (2537646)Instructions burned: 105 (million)
% 2.91/0.80 % (2537647)Instruction limit reached!
% 2.91/0.80 % (2537647)------------------------------
% 2.91/0.80 % (2537647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537647)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537647)Termination reason: Instruction limit
% 2.91/0.80 % (2537647)Termination phase: Saturation
% 2.91/0.80 % (2537647)Time elapsed: 0.034 s
% 2.91/0.80 % (2537647)Peak memory usage: 15 MB
% 2.91/0.80 % (2537647)Instructions burned: 118 (million)
% 2.91/0.80 % (2537648)Instruction limit reached!
% 2.91/0.80 % (2537648)------------------------------
% 2.91/0.80 % (2537648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537648)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537648)Termination reason: Instruction limit
% 2.91/0.80 % (2537648)Termination phase: Saturation
% 2.91/0.80 % (2537648)Time elapsed: 0.040 s
% 2.91/0.80 % (2537648)Peak memory usage: 16 MB
% 2.91/0.80 % (2537648)Instructions burned: 132 (million)
% 2.91/0.80 % (2537657)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3985679746:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.91/0.80 % (2537658)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3629848524:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.91/0.80 % (2537649)Instruction limit reached!
% 2.91/0.80 % (2537649)------------------------------
% 2.91/0.80 % (2537649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537649)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537649)Termination reason: Instruction limit
% 2.91/0.80 % (2537649)Termination phase: Saturation
% 2.91/0.80 % (2537649)Time elapsed: 0.051 s
% 2.91/0.80 % (2537649)Peak memory usage: 16 MB
% 2.91/0.80 % (2537649)Instructions burned: 159 (million)
% 2.91/0.80 % (2537659)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=76008762:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.91/0.80 % (2537662)ott-21_1_sil=16000:fs=off:random_seed=2598610518:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.91/0.80 % (2537662)Instruction limit reached!
% 2.91/0.80 % (2537662)------------------------------
% 2.91/0.80 % (2537662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537662)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537662)Termination reason: Instruction limit
% 2.91/0.80 % (2537662)Termination phase: Saturation
% 2.91/0.80 % (2537662)Time elapsed: 0.052 s
% 2.91/0.80 % (2537662)Peak memory usage: 16 MB
% 2.91/0.80 % (2537662)Instructions burned: 182 (million)
% 2.91/0.80 % (2537665)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3012424424:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.91/0.80 % (2537658)Instruction limit reached!
% 2.91/0.80 % (2537658)------------------------------
% 2.91/0.80 % (2537658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537658)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537658)Termination reason: Instruction limit
% 2.91/0.80 % (2537658)Termination phase: Saturation
% 2.91/0.80 % (2537658)Time elapsed: 0.087 s
% 2.91/0.80 % (2537658)Peak memory usage: 15 MB
% 2.91/0.80 % (2537658)Instructions burned: 132 (million)
% 2.91/0.80 % (2537667)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1383756140:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.91/0.80 % TRYING [1]
% 2.91/0.80 % TRYING [1]
% 2.91/0.80 % TRYING [2]
% 2.91/0.80 % TRYING [2]
% 2.91/0.80 % (2537657)Instruction limit reached!
% 2.91/0.80 % (2537657)------------------------------
% 2.91/0.80 % (2537657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537657)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537657)Termination reason: Instruction limit
% 2.91/0.80 % (2537657)Termination phase: Finite model building constraint generation
% 2.91/0.80 % (2537657)Time elapsed: 0.182 s
% 2.91/0.80 % (2537657)Peak memory usage: 26 MB
% 2.91/0.80 % (2537657)Instructions burned: 715 (million)
% 2.91/0.80 % (2537659)Instruction limit reached!
% 2.91/0.80 % (2537659)------------------------------
% 2.91/0.80 % (2537659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537659)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537659)Termination reason: Instruction limit
% 2.91/0.80 % (2537659)Termination phase: Saturation
% 2.91/0.80 % (2537659)Time elapsed: 0.171 s
% 2.91/0.80 % (2537659)Peak memory usage: 17 MB
% 2.91/0.80 % (2537659)Instructions burned: 686 (million)
% 2.91/0.80 % (2537676)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1562150249:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.91/0.80 % (2537678)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1061516578:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.91/0.80 % (2537665)Instruction limit reached!
% 2.91/0.80 % (2537665)------------------------------
% 2.91/0.80 % (2537665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537665)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537665)Termination reason: Instruction limit
% 2.91/0.80 % (2537665)Termination phase: Saturation
% 2.91/0.80 % (2537665)Time elapsed: 0.229 s
% 2.91/0.80 % (2537665)Peak memory usage: 16 MB
% 2.91/0.80 % (2537665)Instructions burned: 477 (million)
% 2.91/0.80 % (2537682)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2828463742:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.91/0.80 % (2537644) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2537634-2537644"...
% 2.91/0.80 % (2537644)...printing done.
% 2.91/0.80 % TRYING [1]
% 2.91/0.80 % (2537644)Refutation found. Thanks to Tanya!
% 2.91/0.80 % SZS status Unsatisfiable for theBenchmark
% 2.91/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/0.80 % (2537644)------------------------------
% 2.91/0.80 % (2537644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.80 % (2537644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.80 % (2537644)CaDiCaL version: 2.1.3
% 2.91/0.80 % (2537644)Termination reason: Refutation
% 2.91/0.80 % (2537644)Time elapsed: 0.398 s
% 2.91/0.80 % (2537644)Peak memory usage: 23 MB
% 2.91/0.80 % (2537644)Instructions burned: 964 (million)
% 2.91/0.80 % (2537634)Success in time 0.461 s
% 2.91/0.80 % Vampire exiting
%------------------------------------------------------------------------------