%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL437-2 : 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 : n007.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 11:52:25 AM UTC 2026
% Result : Unsatisfiable 2.40s 1.23s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),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(f2,axiom,
! [X2,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,X1),c_PropLog_Opl_Ofalse,X1),X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_ODN_0) ).
fof(f3,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(f4,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f3,f1]) ).
fof(f5,plain,
$false,
inference(forward_subsumption_resolution,[],[f4,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL437-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n007.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 15:41:11 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 2.40/1.23 % (1611768)Input is clausal, will run a generic CNF schedule.
% 2.40/1.23 % (1611808)lrs+10_1_sil=8000:sp=occurrence:random_seed=211678911:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.40/1.23 % (1611808)First to succeed.
% 2.40/1.23 % (1611808)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1611768"
% 2.40/1.23 % (1611809)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1683280889:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.40/1.23 % (1611809)Also succeeded, but the first one will report.
% 2.40/1.23 % (1611807)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1758152772:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.40/1.23 % (1611806)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1622466000:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.40/1.23 % (1611805)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=1127847552:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.40/1.23 % (1611811)dis-21_1_sil=8000:lcm=predicate:random_seed=357522723: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)
% 2.40/1.23 % (1611810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=610566884:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.40/1.23 % (1611811)Also succeeded, but the first one will report.
% 2.40/1.23 % (1611810)Also succeeded, but the first one will report.
% 2.40/1.23 % (1611808)Refutation found. Thanks to Tanya!
% 2.40/1.23 % SZS status Unsatisfiable for theBenchmark
% 2.40/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/1.23 % (1611808)------------------------------
% 2.40/1.23 % (1611808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.23 % (1611808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.23 % (1611808)CaDiCaL version: 2.1.3
% 2.40/1.23 % (1611808)Termination reason: Refutation
% 2.40/1.23 % (1611808)Time elapsed: 0.001 s
% 2.40/1.23 % (1611808)Peak memory usage: 88 MB
% 2.40/1.23 % (1611808)------------------------------
% 2.40/1.23 % (1611808)------------------------------
% 2.40/1.23 % (1611768)Success in time 0.266 s
% 2.40/1.23 % Vampire exiting
%------------------------------------------------------------------------------