%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL434-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 2.62s 1.37s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 11 unt; 2 def)
% Number of atoms : 34 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 10 |; 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(f1,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f8,plain,
( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
| v_pa = v_p ),
inference(resolution,[],[f6,f1]) ).
fof(f10,definition,
( spl0_1
<=> v_pa = v_p ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( v_pa = v_p
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f14,definition,
( spl0_2
<=> c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f14,f10]) ).
fof(f18,plain,
~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f5,f2]) ).
fof(f19,plain,
~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
inference(resolution,[],[f18,f3]) ).
fof(f22,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f19,f14]) ).
fof(f24,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,[],[f2,f12]) ).
fof(f26,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f24,f4]) ).
fof(f27,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f26]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f22]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f27]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f28,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL434-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:38:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.62/1.37 % (2755751)Input is clausal, will run a generic CNF schedule.
% 2.62/1.37 % (2755835)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1824402888:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.37 % (2755835)First to succeed.
% 2.62/1.37 % (2755835)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2755751"
% 2.62/1.37 % (2755833)lrs+10_1_sil=8000:sp=occurrence:random_seed=185223332:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.37 % (2755830)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=3973974701:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.37 % (2755834)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3245858380:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.37 % (2755831)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2498110509:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.37 % (2755834)Refutation not found, incomplete strategy
% 2.62/1.37 % (2755834)------------------------------
% 2.62/1.37 % (2755834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.37 % (2755834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.37 % (2755834)CaDiCaL version: 2.1.3
% 2.62/1.37 % (2755834)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.37 % (2755834)Time elapsed: 0.001 s
% 2.62/1.37 % (2755834)Peak memory usage: 87 MB
% 2.62/1.37 % (2755833)Also succeeded, but the first one will report.
% 2.62/1.37 % (2755836)dis-21_1_sil=8000:lcm=predicate:random_seed=3611568570: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)
% 2.62/1.37 % (2755836)Refutation not found, incomplete strategy
% 2.62/1.37 % (2755836)------------------------------
% 2.62/1.37 % (2755836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.37 % (2755836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.37 % (2755836)CaDiCaL version: 2.1.3
% 2.62/1.37 % (2755836)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.37 % (2755836)Time elapsed: 0.001 s
% 2.62/1.37 % (2755836)Peak memory usage: 87 MB
% 2.62/1.37 % (2755832)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1089316347:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.37 % (2755835)Refutation found. Thanks to Tanya!
% 2.62/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.37 % (2755835)------------------------------
% 2.62/1.37 % (2755835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.37 % (2755835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.37 % (2755835)CaDiCaL version: 2.1.3
% 2.62/1.37 % (2755835)Termination reason: Refutation
% 2.62/1.37 % (2755835)Time elapsed: 0.001 s
% 2.62/1.37 % (2755835)Peak memory usage: 89 MB
% 2.62/1.37 % (2755835)Instructions burned: 1 (million)
% 2.62/1.37 % (2755835)------------------------------
% 2.62/1.37 % (2755835)------------------------------
% 2.62/1.37 % (2755751)Success in time 0.287 s
% 2.62/1.37 % Vampire exiting
%------------------------------------------------------------------------------