%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL432-2 : 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 : n001.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 5.56s 1.86s
% Output : Refutation 5.56s
% 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 : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0,X1] :
( c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(X1))
| ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0_0) ).
fof(f4,plain,
~ c_PropLog_Osat(c_emptyset,v_x,t_a),
inference(resolution,[],[f3,f2]) ).
fof(f5,plain,
$false,
inference(forward_subsumption_resolution,[],[f4,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL432-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n001.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 27 15:48:16 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 5.56/1.86 % (3740049)Input is clausal, will run a generic CNF schedule.
% 5.56/1.86 % (3740054)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=2868050643:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.56/1.86 % (3740058)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1797219300:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.56/1.86 % (3740056)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3782319077:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.56/1.86 % (3740059)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3848299633:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.56/1.86 % (3740057)lrs+10_1_sil=8000:sp=occurrence:random_seed=492375020:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.56/1.86 % (3740055)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=651664051:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.56/1.86 % (3740057)Also succeeded, but the first one will report.
% 5.56/1.86 % (3740058)Also succeeded, but the first one will report.
% 5.56/1.86 % (3740059)First to succeed.
% 5.56/1.86 % (3740059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3740049"
% 5.56/1.86 % (3740060)dis-21_1_sil=8000:lcm=predicate:random_seed=3945815892: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)
% 5.56/1.86 % (3740060)Also succeeded, but the first one will report.
% 5.56/1.86 % (3740059)Refutation found. Thanks to Tanya!
% 5.56/1.86 % SZS status Unsatisfiable for theBenchmark
% 5.56/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 5.56/1.86 % (3740059)------------------------------
% 5.56/1.86 % (3740059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.86 % (3740059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.86 % (3740059)CaDiCaL version: 2.1.3
% 5.56/1.86 % (3740059)Termination reason: Refutation
% 5.56/1.86 % (3740059)Time elapsed: 0.002 s
% 5.56/1.86 % (3740059)Peak memory usage: 87 MB
% 5.56/1.86 % (3740059)------------------------------
% 5.56/1.86 % (3740059)------------------------------
% 5.56/1.86 % (3740049)Success in time 0.684 s
% 5.56/1.86 % Vampire exiting
%------------------------------------------------------------------------------