%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL433-2 : 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 : 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 11:52:24 AM UTC 2026
% Result : Unsatisfiable 2.74s 1.37s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,negated_conjecture,
! [X0] :
( c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X0,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2)
| c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
fof(f5,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(f6,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(f7,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),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__left__insert_0) ).
fof(f8,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f10,plain,
c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(resolution,[],[f4,f1]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X4,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(X0,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f6,f7]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X4,c_insert(X1,X2,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f16,f5]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_insert(X1,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
| c_in(X0,c_PropLog_Othms(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X2,X0,t_a),t_a) ),
inference(resolution,[],[f26,f3]) ).
fof(f47,plain,
! [X0,X1] :
( c_in(X0,c_PropLog_Othms(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),t_a) ),
inference(resolution,[],[f40,f8]) ).
fof(f48,plain,
~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(resolution,[],[f47,f2]) ).
fof(f55,plain,
$false,
inference(forward_subsumption_resolution,[],[f48,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 15:40:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 2.74/1.37 % (1610835)Input is clausal, will run a generic CNF schedule.
% 2.74/1.37 % (1610843)lrs+10_1_sil=8000:sp=occurrence:random_seed=3279708287:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.37 % (1610843)First to succeed.
% 2.74/1.37 % (1610843)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1610835"
% 2.74/1.37 % (1610845)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1712564530:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.37 % (1610840)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=313807219:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.37 % (1610846)dis-21_1_sil=8000:lcm=predicate:random_seed=2231278173: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)
% 2.74/1.37 % (1610842)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4198833529:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.37 % (1610841)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3456476643:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.37 % (1610845)Also succeeded, but the first one will report.
% 2.74/1.37 % (1610844)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=896175422:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.37 % (1610844)Also succeeded, but the first one will report.
% 2.74/1.37 % (1610846)Instruction limit reached!
% 2.74/1.37 % (1610846)------------------------------
% 2.74/1.37 % (1610846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (1610846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (1610846)CaDiCaL version: 2.1.3
% 2.74/1.37 % (1610846)Termination reason: Instruction limit
% 2.74/1.37 % (1610846)Termination phase: Saturation
% 2.74/1.37 % (1610846)Time elapsed: 0.045 s
% 2.74/1.37 % (1610846)Peak memory usage: 87 MB
% 2.74/1.37 % (1610846)Instructions burned: 117 (million)
% 2.74/1.37 % (1610843)Refutation found. Thanks to Tanya!
% 2.74/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.37 % (1610843)------------------------------
% 2.74/1.37 % (1610843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (1610843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (1610843)CaDiCaL version: 2.1.3
% 2.74/1.37 % (1610843)Termination reason: Refutation
% 2.74/1.37 % (1610843)Time elapsed: 0.002 s
% 2.74/1.37 % (1610843)Peak memory usage: 88 MB
% 2.74/1.37 % (1610843)Instructions burned: 3 (million)
% 2.74/1.37 % (1610843)------------------------------
% 2.74/1.37 % (1610843)------------------------------
% 2.74/1.37 % (1610835)Success in time 0.304 s
% 2.74/1.37 % Vampire exiting
%------------------------------------------------------------------------------