%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL434-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:52:24 AM UTC 2026
% Result : Unsatisfiable 3.90s 1.76s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 11 unt; 2 def)
% Number of atoms : 38 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f240,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f1450,axiom,
! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f1451,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f1452,negated_conjecture,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1453,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,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(f1751,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| v_pa = v_p ),
inference(resolution,[],[f240,f1452]) ).
fof(f1753,definition,
( spl0_1
<=> v_pa = v_p ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1754,plain,
( v_pa = v_p
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1756,definition,
( spl0_2
<=> c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1757,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1758,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1751,f1756,f1753]) ).
fof(f1789,plain,
~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1451,f1453]) ).
fof(f1790,plain,
~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1789,f12]) ).
fof(f1791,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1790,f1757]) ).
fof(f1792,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1791]) ).
fof(f1800,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ spl0_1 ),
inference(superposition,[],[f1453,f1754]) ).
fof(f1802,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1800,f1450]) ).
fof(f1803,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1802]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f1792]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f1803]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f1804,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL434-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n003.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 15:44:26 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.90/1.76 % (730041)Input is clausal, will run a generic CNF schedule.
% 3.90/1.76 % (730052)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3246551424:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.90/1.76 % (730054)dis-21_1_sil=8000:lcm=predicate:random_seed=1965009199:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.90/1.76 % (730052)First to succeed.
% 3.90/1.76 % (730052)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-730041"
% 3.90/1.76 % (730051)lrs+10_1_sil=8000:sp=occurrence:random_seed=2731084774:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.90/1.76 % (730051)Also succeeded, but the first one will report.
% 3.90/1.76 % (730053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4263124265:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.90/1.76 % (730050)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4155002553:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.90/1.76 % (730049)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1452698163:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.90/1.76 % (730048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3720929246:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.90/1.76 % (730053)Also succeeded, but the first one will report.
% 3.90/1.76 % (730054)Instruction limit reached!
% 3.90/1.76 % (730054)------------------------------
% 3.90/1.76 % (730054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.76 % (730054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.76 % (730054)CaDiCaL version: 2.1.3
% 3.90/1.76 % (730054)Termination reason: Instruction limit
% 3.90/1.76 % (730054)Termination phase: Saturation
% 3.90/1.76 % (730054)Time elapsed: 0.110 s
% 3.90/1.76 % (730054)Peak memory usage: 89 MB
% 3.90/1.76 % (730054)Instructions burned: 118 (million)
% 3.90/1.76 % (730052)Refutation found. Thanks to Tanya!
% 3.90/1.76 % SZS status Unsatisfiable for theBenchmark
% 3.90/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.76 % (730052)------------------------------
% 3.90/1.76 % (730052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.76 % (730052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.76 % (730052)CaDiCaL version: 2.1.3
% 3.90/1.76 % (730052)Termination reason: Refutation
% 3.90/1.76 % (730052)Time elapsed: 0.012 s
% 3.90/1.76 % (730052)Peak memory usage: 90 MB
% 3.90/1.76 % (730052)Instructions burned: 18 (million)
% 3.90/1.76 % (730052)------------------------------
% 3.90/1.76 % (730052)------------------------------
% 3.90/1.76 % (730041)Success in time 0.455 s
% 3.90/1.76 % Vampire exiting
%------------------------------------------------------------------------------