%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 11:58:38 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.57s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 2 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_PropLog_Osat(c_emptyset,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)) ),
file('/export/starexec/sandbox2/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/sandbox2/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(f7,plain,
! [X0,X1] : ~ c_in(v_p,c_PropLog_Othms(c_minus(X0,X0,tc_set(X1)),t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[],[f2,f5]) ).
fof(f9,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_PropLog_Ohyps(v_p,X1,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f3,f1]) ).
fof(f13,plain,
$false,
inference(resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.47 % Computer : n026.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 15:45:11 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.52 Running first-order model finding
% 0.26/0.52 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.57 % (3023257)Will run a generic schedule for satisfiability detection.
% 0.26/0.57 % (3023267)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1428805132:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.57 % (3023267) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3023257-3023267"...
% 0.26/0.57 % (3023267)...printing done.
% 0.26/0.57 % (3023267)Refutation found. Thanks to Tanya!
% 0.26/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.58 % (3023267)------------------------------
% 0.26/0.58 % (3023267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.58 % (3023267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.58 % (3023267)CaDiCaL version: 2.1.3
% 0.26/0.58 % (3023267)Termination reason: Refutation
% 0.26/0.58 % (3023267)Time elapsed: 0.001 s
% 0.26/0.58 % (3023267)Peak memory usage: 11 MB
% 0.26/0.58 % (3023267)Instructions burned: 1 (million)
% 0.26/0.58 % (3023257)Success in time 0.037 s
% 0.26/0.58 % Vampire exiting
%------------------------------------------------------------------------------