%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL433-1 : 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 1.40s 0.70s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 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/sandbox/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/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
fof(f1448,axiom,
! [X2,X3,X0,X1] :
( ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2)
| c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
fof(f1449,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f1451,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
fof(f1454,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1455,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1456,negated_conjecture,
! [X0] :
( c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X0,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1457,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X0,X1,tc_PropLog_Opl(X2)) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f1525,plain,
! [X2,X0,X1] : ~ c_in(X0,c_insert(X0,X1,X2),X2),
inference(consistent_polarity_flipping,[],[f239]) ).
fof(f1798,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(consistent_polarity_flipping,[],[f1449]) ).
fof(f1800,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(consistent_polarity_flipping,[],[f1451]) ).
fof(f1803,plain,
c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(consistent_polarity_flipping,[],[f1455]) ).
fof(f1804,plain,
! [X0] :
( ~ c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X0,t_a) ),
inference(consistent_polarity_flipping,[],[f1456]) ).
fof(f2351,plain,
c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(resolution,[],[f1448,f1454]) ).
fof(f3001,plain,
! [X0] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(X0,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1798,f1803]) ).
fof(f3598,plain,
! [X0] :
( c_in(X0,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f3001,f1800]) ).
fof(f13627,plain,
! [X0] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| c_in(X0,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f3598,f1457]) ).
fof(f13659,plain,
! [X0] :
( ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),t_a)
| c_in(X0,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f13627,f1804]) ).
fof(f13676,plain,
c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f13659,f2351]) ).
fof(f13677,plain,
$false,
inference(forward_subsumption_resolution,[],[f13676,f1525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 15:42:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 Running first-order model finding
% 0.09/0.37 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
% 1.40/0.69 % (2538516)Will run a generic schedule for satisfiability detection.
% 1.40/0.69 % (2538522)% WARNING: option uhcvi not known.
% 1.40/0.69 % (2538521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2166671418_2999 on theBenchmark for (2999ds/0Mi)
% 1.40/0.69 % (2538522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=461336788:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.40/0.69 % (2538523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2230234708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.40/0.69 % (2538524)dis+10_1_sil=32000:sp=arity:random_seed=1516777210:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.40/0.69 % (2538525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4020904053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.40/0.69 % (2538526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3621466589:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.40/0.69 % (2538527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3268837398:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.40/0.69 % TRYING [1]
% 1.40/0.69 % TRYING [2]
% 1.40/0.69 % (2538524)Instruction limit reached!
% 1.40/0.69 % (2538524)------------------------------
% 1.40/0.69 % (2538524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.69 % (2538524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.69 % (2538524)CaDiCaL version: 2.1.3
% 1.40/0.69 % (2538524)Termination reason: Instruction limit
% 1.40/0.69 % (2538524)Termination phase: Saturation
% 1.40/0.69 % (2538524)Time elapsed: 0.037 s
% 1.40/0.69 % (2538524)Peak memory usage: 14 MB
% 1.40/0.69 % (2538524)Instructions burned: 104 (million)
% 1.40/0.69 % (2538525)Instruction limit reached!
% 1.40/0.69 % (2538525)------------------------------
% 1.40/0.69 % (2538525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.69 % (2538525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.69 % (2538525)CaDiCaL version: 2.1.3
% 1.40/0.69 % (2538525)Termination reason: Instruction limit
% 1.40/0.69 % (2538525)Termination phase: Saturation
% 1.40/0.69 % (2538525)Time elapsed: 0.039 s
% 1.40/0.69 % (2538525)Peak memory usage: 14 MB
% 1.40/0.69 % (2538525)Instructions burned: 116 (million)
% 1.40/0.69 % (2538526)Instruction limit reached!
% 1.40/0.69 % (2538526)------------------------------
% 1.40/0.69 % (2538526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.69 % (2538526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.69 % (2538526)CaDiCaL version: 2.1.3
% 1.40/0.69 % (2538526)Termination reason: Instruction limit
% 1.40/0.69 % (2538526)Termination phase: Saturation
% 1.40/0.69 % (2538526)Time elapsed: 0.040 s
% 1.40/0.69 % (2538526)Peak memory usage: 14 MB
% 1.40/0.69 % (2538526)Instructions burned: 133 (million)
% 1.40/0.69 % (2538535)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2569996061:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.40/0.69 % (2538536)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3143405719:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.40/0.69 % (2538537)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=3639171431:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.40/0.70 % TRYING [3]
% 1.40/0.70 % (2538527)Instruction limit reached!
% 1.40/0.70 % (2538527)------------------------------
% 1.40/0.70 % (2538527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.70 % (2538527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.70 % (2538527)CaDiCaL version: 2.1.3
% 1.40/0.70 % (2538527)Termination reason: Instruction limit
% 1.40/0.70 % (2538527)Termination phase: Saturation
% 1.40/0.70 % (2538527)Time elapsed: 0.053 s
% 1.40/0.70 % (2538527)Peak memory usage: 14 MB
% 1.40/0.70 % (2538527)Instructions burned: 161 (million)
% 1.40/0.70 % (2538541)ott-21_1_sil=16000:fs=off:random_seed=3531959342:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.40/0.70 % TRYING [1]
% 1.40/0.70 % TRYING [2]
% 1.40/0.70 % (2538536)Instruction limit reached!
% 1.40/0.70 % (2538536)------------------------------
% 1.40/0.70 % (2538536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.70 % (2538536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.70 % (2538536)CaDiCaL version: 2.1.3
% 1.40/0.70 % (2538536)Termination reason: Instruction limit
% 1.40/0.70 % (2538536)Termination phase: Saturation
% 1.40/0.70 % (2538536)Time elapsed: 0.044 s
% 1.40/0.70 % (2538536)Peak memory usage: 15 MB
% 1.40/0.70 % (2538536)Instructions burned: 133 (million)
% 1.40/0.70 % (2538543)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2450118172:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.40/0.70 % TRYING [3]
% 1.40/0.70 % (2538541)Instruction limit reached!
% 1.40/0.70 % (2538541)------------------------------
% 1.40/0.70 % (2538541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.70 % (2538541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.70 % (2538541)CaDiCaL version: 2.1.3
% 1.40/0.70 % (2538541)Termination reason: Instruction limit
% 1.40/0.70 % (2538541)Termination phase: Saturation
% 1.40/0.70 % (2538541)Time elapsed: 0.053 s
% 1.40/0.70 % (2538541)Peak memory usage: 14 MB
% 1.40/0.70 % (2538541)Instructions burned: 180 (million)
% 1.40/0.70 % (2538545)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=203284787:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.40/0.70 % TRYING [1]
% 1.40/0.70 % TRYING [2]
% 1.40/0.70 % TRYING [4]
% 1.40/0.70 % (2538535)Instruction limit reached!
% 1.40/0.70 % (2538535)------------------------------
% 1.40/0.70 % (2538535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.70 % (2538535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.70 % (2538535)CaDiCaL version: 2.1.3
% 1.40/0.70 % (2538535)Termination reason: Instruction limit
% 1.40/0.70 % (2538535)Termination phase: Finite model building constraint generation
% 1.40/0.70 % (2538535)Time elapsed: 0.159 s
% 1.40/0.70 % (2538535)Peak memory usage: 48 MB
% 1.40/0.70 % (2538535)Instructions burned: 716 (million)
% 1.40/0.70 % (2538547)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3953204409:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.40/0.70 % TRYING [3]
% 1.40/0.70 % (2538543)Instruction limit reached!
% 1.40/0.70 % (2538543)------------------------------
% 1.40/0.70 % (2538543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.70 % (2538543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.70 % (2538543)CaDiCaL version: 2.1.3
% 1.40/0.70 % (2538543)Termination reason: Instruction limit
% 1.40/0.70 % (2538543)Termination phase: Saturation
% 1.40/0.70 % (2538543)Time elapsed: 0.164 s
% 1.40/0.70 % (2538543)Peak memory usage: 14 MB
% 1.40/0.70 % (2538543)Instructions burned: 478 (million)
% 1.40/0.70 % (2538522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2538516-2538522"...
% 1.40/0.70 % (2538522)...printing done.
% 1.40/0.70 % (2538522)Refutation found. Thanks to Tanya!
% 1.40/0.70 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.70 % (2538522)------------------------------
% 1.40/0.70 % (2538522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.70 % (2538522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.70 % (2538522)CaDiCaL version: 2.1.3
% 1.40/0.70 % (2538522)Termination reason: Refutation
% 1.40/0.70 % (2538522)Time elapsed: 0.279 s
% 1.40/0.70 % (2538522)Peak memory usage: 20 MB
% 1.40/0.70 % (2538522)Instructions burned: 862 (million)
% 1.40/0.70 % (2538516)Success in time 0.319 s
% 1.40/0.70 % Vampire exiting
%------------------------------------------------------------------------------