%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL446-2 : 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 : n010.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 11:52:28 AM UTC 2026
% Result : Unsatisfiable 3.40s 1.67s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f4,f3]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f6,f3]) ).
fof(f10,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(X0,v_p,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f9,f1]) ).
fof(f12,plain,
! [X0] : ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(forward_subsumption_resolution,[],[f10,f2]) ).
fof(f13,plain,
$false,
inference(resolution,[],[f12,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL446-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.60 % Computer : n010.cluster.edu
% 0.11/0.60 % Model : x86_64 x86_64
% 0.11/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.60 % Memory : 8046.5625MB
% 0.11/0.60 % OS : Linux 6.8.0-71-generic
% 0.11/0.60 % CPULimit : 300
% 0.11/0.60 % WCLimit : 300
% 0.11/0.60 % DateTime : Sun Sep 27 15:44:03 UTC 2026
% 0.11/0.61 % CPUTime :
% 0.11/0.61 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.64 Running first-order theorem proving
% 0.15/0.64 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
% 3.40/1.67 % (1121746)Input is clausal, will run a generic CNF schedule.
% 3.40/1.67 % (1121819)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=69403194:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.40/1.67 % (1121822)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4294183929:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.40/1.67 % (1121818)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=1963615408:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.40/1.67 % (1121821)lrs+10_1_sil=8000:sp=occurrence:random_seed=1714063520:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.40/1.67 % (1121823)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1863472444:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.40/1.67 % (1121824)dis-21_1_sil=8000:lcm=predicate:random_seed=2599493234: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)
% 3.40/1.67 % (1121820)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3365923990:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.40/1.67 % (1121824)Also succeeded, but the first one will report.
% 3.40/1.67 % (1121822)Also succeeded, but the first one will report.
% 3.40/1.67 % (1121823)First to succeed.
% 3.40/1.67 % (1121821)Also succeeded, but the first one will report.
% 3.40/1.67 % (1121823)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1121746"
% 3.40/1.67 % (1121823)Refutation found. Thanks to Tanya!
% 3.40/1.67 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.67 % (1121823)------------------------------
% 3.40/1.67 % (1121823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.67 % (1121823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.67 % (1121823)CaDiCaL version: 2.1.3
% 3.40/1.67 % (1121823)Termination reason: Refutation
% 3.40/1.67 % (1121823)Time elapsed: 0.002 s
% 3.40/1.67 % (1121823)Peak memory usage: 88 MB
% 3.40/1.67 % (1121823)Instructions burned: 1 (million)
% 3.40/1.67 % (1121823)------------------------------
% 3.40/1.67 % (1121823)------------------------------
% 3.40/1.67 % (1121746)Success in time 0.399 s
% 3.40/1.67 % Vampire exiting
%------------------------------------------------------------------------------