%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n011.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 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 4 ( 4 !; 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_PropLog_Osat(c_emptyset,X0,X1)
| c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(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(consistent_polarity_flipping,[],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( c_PropLog_Osat(c_emptyset,X0,X1)
| c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(X1)) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f22,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f4,f2,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL432-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n011.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 15:43:00 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.46 % (2580724)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (2580729)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=588061695_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % (2580729) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2580724-2580729"...
% 0.15/0.46 % (2580729)...printing done.
% 0.15/0.46 % (2580729)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (2580729)------------------------------
% 0.15/0.46 % (2580729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (2580729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (2580729)CaDiCaL version: 2.1.3
% 0.15/0.46 % (2580729)Termination reason: Refutation
% 0.15/0.46 % (2580729)Time elapsed: 0.001 s
% 0.15/0.46 % (2580729)Peak memory usage: 11 MB
% 0.15/0.46 % (2580729)Instructions burned: 1 (million)
% 0.15/0.46 % (2580724)Success in time 0.038 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------