%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL445-1 : 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 : n003.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 11:58:42 AM UTC 2026
% Result : Unsatisfiable 1.49s 0.71s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,X3,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_OMP_0) ).
fof(f1449,axiom,
! [X2,X3,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),X1,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle_0) ).
fof(f1450,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1451,negated_conjecture,
c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1452,negated_conjecture,
~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1463,plain,
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)),
inference(resolution,[],[f1446,f1450]) ).
fof(f1464,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1446,f1451]) ).
fof(f1500,plain,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
inference(resolution,[],[f1447,f1449]) ).
fof(f1520,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
inference(resolution,[],[f1500,f1447]) ).
fof(f4837,plain,
( ~ 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))
| c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1520,f1464]) ).
fof(f4840,plain,
c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(forward_subsumption_resolution,[],[f4837,f1463]) ).
fof(f4841,plain,
$false,
inference(forward_subsumption_resolution,[],[f4840,f1452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL445-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:45:27 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 1.49/0.71 % (732176)Will run a generic schedule for satisfiability detection.
% 1.49/0.71 % (732184)dis+10_1_sil=32000:sp=arity:random_seed=968816555:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.49/0.71 % (732182)% WARNING: option uhcvi not known.
% 1.49/0.71 % (732181)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1751774202_2999 on theBenchmark for (2999ds/0Mi)
% 1.49/0.71 % (732182)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=128634502:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.49/0.71 % (732183)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=478149252:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.49/0.71 % (732185)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2943128587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.49/0.71 % (732186)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=262597461:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.71 % (732187)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1732919445:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.49/0.71 % (732184)Instruction limit reached!
% 1.49/0.71 % (732184)------------------------------
% 1.49/0.71 % (732184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732184)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732184)Termination reason: Instruction limit
% 1.49/0.71 % (732184)Termination phase: Saturation
% 1.49/0.71 % (732184)Time elapsed: 0.039 s
% 1.49/0.71 % (732184)Peak memory usage: 14 MB
% 1.49/0.71 % (732184)Instructions burned: 103 (million)
% 1.49/0.71 % (732195)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4041302347:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.49/0.71 % TRYING [1]
% 1.49/0.71 % TRYING [2]
% 1.49/0.71 % TRYING [1]
% 1.49/0.71 % (732186)Instruction limit reached!
% 1.49/0.71 % (732186)------------------------------
% 1.49/0.71 % (732186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732186)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732186)Termination reason: Instruction limit
% 1.49/0.71 % (732186)Termination phase: Saturation
% 1.49/0.71 % (732186)Time elapsed: 0.074 s
% 1.49/0.71 % (732186)Peak memory usage: 14 MB
% 1.49/0.71 % (732186)Instructions burned: 132 (million)
% 1.49/0.71 % TRYING [2]
% 1.49/0.71 % (732185)Instruction limit reached!
% 1.49/0.71 % (732185)------------------------------
% 1.49/0.71 % (732185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732185)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732185)Termination reason: Instruction limit
% 1.49/0.71 % (732185)Termination phase: Saturation
% 1.49/0.71 % (732185)Time elapsed: 0.080 s
% 1.49/0.71 % (732185)Peak memory usage: 14 MB
% 1.49/0.71 % (732185)Instructions burned: 116 (million)
% 1.49/0.71 % (732197)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3093454371:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.49/0.71 % TRYING [3]
% 1.49/0.71 % (732187)Instruction limit reached!
% 1.49/0.71 % (732187)------------------------------
% 1.49/0.71 % (732187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732187)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732187)Termination reason: Instruction limit
% 1.49/0.71 % (732187)Termination phase: Saturation
% 1.49/0.71 % (732187)Time elapsed: 0.099 s
% 1.49/0.71 % (732187)Peak memory usage: 14 MB
% 1.49/0.71 % (732187)Instructions burned: 160 (million)
% 1.49/0.71 % (732198)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=2762981228:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.49/0.71 % TRYING [3]
% 1.49/0.71 % (732200)ott-21_1_sil=16000:fs=off:random_seed=4251461499:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.49/0.71 % (732197)Instruction limit reached!
% 1.49/0.71 % (732197)------------------------------
% 1.49/0.71 % (732197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732197)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732197)Termination reason: Instruction limit
% 1.49/0.71 % (732197)Termination phase: Saturation
% 1.49/0.71 % (732197)Time elapsed: 0.080 s
% 1.49/0.71 % (732197)Peak memory usage: 15 MB
% 1.49/0.71 % (732197)Instructions burned: 132 (million)
% 1.49/0.71 % (732203)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2622255048:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.49/0.71 % (732195)Instruction limit reached!
% 1.49/0.71 % (732195)------------------------------
% 1.49/0.71 % (732195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732195)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732195)Termination reason: Instruction limit
% 1.49/0.71 % (732195)Termination phase: Finite model building constraint generation
% 1.49/0.71 % (732195)Time elapsed: 0.156 s
% 1.49/0.71 % (732195)Peak memory usage: 49 MB
% 1.49/0.71 % (732195)Instructions burned: 718 (million)
% 1.49/0.71 % (732205)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3911530100:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.49/0.71 % (732198) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-732176-732198"...
% 1.49/0.71 % (732198)...printing done.
% 1.49/0.71 % (732198)Refutation found. Thanks to Tanya!
% 1.49/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.71 % (732198)------------------------------
% 1.49/0.71 % (732198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.71 % (732198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.71 % (732198)CaDiCaL version: 2.1.3
% 1.49/0.71 % (732198)Termination reason: Refutation
% 1.49/0.71 % (732198)Time elapsed: 0.113 s
% 1.49/0.71 % (732198)Peak memory usage: 15 MB
% 1.49/0.71 % (732198)Instructions burned: 187 (million)
% 1.49/0.71 % (732176)Success in time 0.287 s
% 1.49/0.71 % Vampire exiting
%------------------------------------------------------------------------------