%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 11:58:40 AM UTC 2026
% Result : Unsatisfiable 2.46s 1.00s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
fof(f1446,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
fof(f1447,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_0) ).
fof(f1448,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
fof(f1449,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1450,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1661,plain,
! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1448,f1449]) ).
fof(f1742,plain,
! [X0,X1] :
( ~ c_in(v_p,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(X1,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1447,f1661]) ).
fof(f1919,plain,
! [X2,X0,X1] : c_in(X0,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
inference(resolution,[],[f239,f12]) ).
fof(f2663,plain,
! [X0] : c_in(X0,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1919,f1742]) ).
fof(f2669,plain,
! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f2663,f1446]) ).
fof(f2672,plain,
$false,
inference(backward_subsumption_resolution,[],[f1450,f2669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:42:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/1.00 % (3691775)Will run a generic schedule for satisfiability detection.
% 2.46/1.00 % (3691784)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=28478402:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.46/1.00 % (3691781)% WARNING: option uhcvi not known.
% 2.46/1.00 % (3691781)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=832775161:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.46/1.00 % (3691780)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3411832421_2999 on theBenchmark for (2999ds/0Mi)
% 2.46/1.00 % (3691783)dis+10_1_sil=32000:sp=arity:random_seed=1123947259:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.46/1.00 % (3691782)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1125094051:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.46/1.00 % (3691785)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2543238859:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.46/1.00 % (3691786)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2090445807:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.46/1.00 % (3691784)Instruction limit reached!
% 2.46/1.00 % (3691784)------------------------------
% 2.46/1.00 % (3691784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691784)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691784)Termination reason: Instruction limit
% 2.46/1.00 % (3691784)Termination phase: Saturation
% 2.46/1.00 % (3691784)Time elapsed: 0.041 s
% 2.46/1.00 % (3691784)Peak memory usage: 14 MB
% 2.46/1.00 % (3691784)Instructions burned: 118 (million)
% 2.46/1.00 % (3691794)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1199836542:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.46/1.00 % TRYING [1]
% 2.46/1.00 % TRYING [2]
% 2.46/1.00 % (3691783)Instruction limit reached!
% 2.46/1.00 % (3691783)------------------------------
% 2.46/1.00 % (3691783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691783)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691783)Termination reason: Instruction limit
% 2.46/1.00 % (3691783)Termination phase: Saturation
% 2.46/1.00 % (3691783)Time elapsed: 0.067 s
% 2.46/1.00 % (3691783)Peak memory usage: 13 MB
% 2.46/1.00 % (3691783)Instructions burned: 103 (million)
% 2.46/1.00 % (3691785)Instruction limit reached!
% 2.46/1.00 % (3691785)------------------------------
% 2.46/1.00 % (3691785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691785)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691785)Termination reason: Instruction limit
% 2.46/1.00 % (3691785)Termination phase: Saturation
% 2.46/1.00 % (3691785)Time elapsed: 0.073 s
% 2.46/1.00 % (3691785)Peak memory usage: 14 MB
% 2.46/1.00 % (3691785)Instructions burned: 132 (million)
% 2.46/1.00 % TRYING [1]
% 2.46/1.00 % TRYING [2]
% 2.46/1.00 % (3691796)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3587222654:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.46/1.00 % (3691797)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=2636240515:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.46/1.00 % TRYING [3]
% 2.46/1.00 % (3691786)Instruction limit reached!
% 2.46/1.00 % (3691786)------------------------------
% 2.46/1.00 % (3691786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691786)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691786)Termination reason: Instruction limit
% 2.46/1.00 % (3691786)Termination phase: Saturation
% 2.46/1.00 % (3691786)Time elapsed: 0.098 s
% 2.46/1.00 % (3691786)Peak memory usage: 14 MB
% 2.46/1.00 % (3691786)Instructions burned: 160 (million)
% 2.46/1.00 % TRYING [3]
% 2.46/1.00 % (3691800)ott-21_1_sil=16000:fs=off:random_seed=1927991506:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.46/1.00 % (3691796)Instruction limit reached!
% 2.46/1.00 % (3691796)------------------------------
% 2.46/1.00 % (3691796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691796)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691796)Termination reason: Instruction limit
% 2.46/1.00 % (3691796)Termination phase: Saturation
% 2.46/1.00 % (3691796)Time elapsed: 0.080 s
% 2.46/1.00 % (3691796)Peak memory usage: 15 MB
% 2.46/1.00 % (3691796)Instructions burned: 132 (million)
% 2.46/1.00 % (3691802)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4284696874:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.46/1.00 % (3691794)Instruction limit reached!
% 2.46/1.00 % (3691794)------------------------------
% 2.46/1.00 % (3691794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691794)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691794)Termination reason: Instruction limit
% 2.46/1.00 % (3691794)Termination phase: Finite model building constraint generation
% 2.46/1.00 % (3691794)Time elapsed: 0.156 s
% 2.46/1.00 % (3691794)Peak memory usage: 48 MB
% 2.46/1.00 % (3691794)Instructions burned: 714 (million)
% 2.46/1.00 % (3691804)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=256073560:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.46/1.00 % (3691800)Instruction limit reached!
% 2.46/1.00 % (3691800)------------------------------
% 2.46/1.00 % (3691800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691800)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691800)Termination reason: Instruction limit
% 2.46/1.00 % (3691800)Termination phase: Saturation
% 2.46/1.00 % (3691800)Time elapsed: 0.099 s
% 2.46/1.00 % (3691800)Peak memory usage: 14 MB
% 2.46/1.00 % (3691800)Instructions burned: 180 (million)
% 2.46/1.00 % (3691806)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3990471772:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.46/1.00 % TRYING [1]
% 2.46/1.00 % TRYING [2]
% 2.46/1.00 % TRYING [3]
% 2.46/1.00 % TRYING [4]
% 2.46/1.00 % (3691804)Instruction limit reached!
% 2.46/1.00 % (3691804)------------------------------
% 2.46/1.00 % (3691804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691804)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691804)Termination reason: Instruction limit
% 2.46/1.00 % (3691804)Termination phase: Finite model building constraint generation
% 2.46/1.00 % (3691804)Time elapsed: 0.208 s
% 2.46/1.00 % (3691804)Peak memory usage: 47 MB
% 2.46/1.00 % (3691804)Instructions burned: 868 (million)
% 2.46/1.00 % (3691797)Instruction limit reached!
% 2.46/1.00 % (3691797)------------------------------
% 2.46/1.00 % (3691797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691797)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691797)Termination reason: Instruction limit
% 2.46/1.00 % (3691797)Termination phase: Saturation
% 2.46/1.00 % (3691797)Time elapsed: 0.331 s
% 2.46/1.00 % (3691797)Peak memory usage: 16 MB
% 2.46/1.00 % (3691797)Instructions burned: 684 (million)
% 2.46/1.00 % (3691808)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1482230678:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.46/1.00 % (3691809)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=3997188064: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)
% 2.46/1.00 % (3691802)Instruction limit reached!
% 2.46/1.00 % (3691802)------------------------------
% 2.46/1.00 % (3691802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691802)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691802)Termination reason: Instruction limit
% 2.46/1.00 % (3691802)Termination phase: Saturation
% 2.46/1.00 % (3691802)Time elapsed: 0.309 s
% 2.46/1.00 % (3691802)Peak memory usage: 14 MB
% 2.46/1.00 % (3691802)Instructions burned: 478 (million)
% 2.46/1.00 % (3691812)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2887203091:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 2.46/1.00 % (3691809) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3691775-3691809"...
% 2.46/1.00 % (3691809)...printing done.
% 2.46/1.00 % (3691809)Refutation found. Thanks to Tanya!
% 2.46/1.00 % SZS status Unsatisfiable for theBenchmark
% 2.46/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/1.00 % (3691809)------------------------------
% 2.46/1.00 % (3691809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/1.00 % (3691809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.00 % (3691809)CaDiCaL version: 2.1.3
% 2.46/1.00 % (3691809)Termination reason: Refutation
% 2.46/1.00 % (3691809)Time elapsed: 0.072 s
% 2.46/1.00 % (3691809)Peak memory usage: 14 MB
% 2.46/1.00 % (3691809)Instructions burned: 125 (million)
% 2.46/1.00 % (3691775)Success in time 0.592 s
% 2.46/1.00 % Vampire exiting
%------------------------------------------------------------------------------