%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL431-2 : 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 11:52:23 AM UTC 2026
% Result : Unsatisfiable 3.39s 1.36s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(v_p,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,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1))
| ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).
fof(f4,axiom,
! [X0,X1] : c_minus(X0,X0,tc_set(X1)) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).
fof(f5,plain,
! [X0,X1] : c_emptyset = c_minus(X0,X0,tc_set(X1)),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
! [X2,X0] :
( c_in(X0,c_PropLog_Othms(c_emptyset,X2),tc_PropLog_Opl(X2))
| ~ c_PropLog_Osat(c_emptyset,X0,X2) ),
inference(superposition,[],[f3,f5]) ).
fof(f7,plain,
~ c_PropLog_Osat(c_emptyset,v_p,t_a),
inference(resolution,[],[f6,f2]) ).
fof(f8,plain,
$false,
inference(forward_subsumption_resolution,[],[f7,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:40:40 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.39/1.36 % (1610168)Input is clausal, will run a generic CNF schedule.
% 3.39/1.36 % (1610173)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=3080018142:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.39/1.36 % (1610176)lrs+10_1_sil=8000:sp=occurrence:random_seed=1507284963:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.39/1.36 % (1610177)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2945973389:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.39/1.36 % (1610174)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3612193241:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.39/1.36 % (1610175)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3811229038:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.39/1.36 % (1610179)dis-21_1_sil=8000:lcm=predicate:random_seed=2385747535: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)
% 3.39/1.36 % (1610178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3542162882:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.39/1.36 % (1610177)Refutation not found, incomplete strategy
% 3.39/1.36 % (1610177)------------------------------
% 3.39/1.36 % (1610177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.36 % (1610177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.36 % (1610177)CaDiCaL version: 2.1.3
% 3.39/1.36 % (1610177)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.36 % (1610177)Time elapsed: 0.0000 s
% 3.39/1.36 % (1610177)Peak memory usage: 86 MB
% 3.39/1.36 % (1610179)Refutation not found, incomplete strategy
% 3.39/1.36 % (1610179)------------------------------
% 3.39/1.36 % (1610179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.36 % (1610179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.36 % (1610179)CaDiCaL version: 2.1.3
% 3.39/1.36 % (1610179)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.36 % (1610179)Time elapsed: 0.001 s
% 3.39/1.36 % (1610179)Peak memory usage: 87 MB
% 3.39/1.36 % (1610176)First to succeed.
% 3.39/1.36 % (1610176)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1610168"
% 3.39/1.36 % (1610178)Also succeeded, but the first one will report.
% 3.39/1.36 % (1610179)------------------------------
% 3.39/1.36 % (1610179)------------------------------
% 3.39/1.36 % (1610177)------------------------------
% 3.39/1.36 % (1610177)------------------------------
% 3.39/1.36 % (1610176)Refutation found. Thanks to Tanya!
% 3.39/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.39/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.36 % (1610176)------------------------------
% 3.39/1.36 % (1610176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.36 % (1610176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.36 % (1610176)CaDiCaL version: 2.1.3
% 3.39/1.36 % (1610176)Termination reason: Refutation
% 3.39/1.36 % (1610176)Time elapsed: 0.001 s
% 3.39/1.36 % (1610176)Peak memory usage: 88 MB
% 3.39/1.36 % (1610176)------------------------------
% 3.39/1.36 % (1610176)------------------------------
% 3.39/1.36 % (1610168)Success in time 0.414 s
% 3.39/1.36 % Vampire exiting
%------------------------------------------------------------------------------