%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL440-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 : Fri Sep 25 02:02:02 PM UTC 2026
% Result : Unsatisfiable 20.46s 14.20s
% Output : Proof 20.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1369,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f1369_nnf,plain,
! [V_p,T_a,V_H] : c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
inference(nnf_transformation,[status(thm)],[f1369]) ).
fof(f1369_sk,plain,
! [V_p,T_a,V_H] : c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
inference(skolemisation,[status(esa)],[f1369_nnf]) ).
cnf(c1369,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
inference(cnf_transformation,[status(esa)],[f1369_sk]) ).
cnf(f1373,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1373_nnf,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(nnf_transformation,[status(thm)],[f1373]) ).
fof(f1373_sk,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(skolemisation,[status(esa)],[f1373_nnf]) ).
cnf(c1373,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[status(esa)],[f1373_sk]) ).
cnf(p2277,plain,
$false,
inference(resolution,[status(thm)],[c1369,c1373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL440-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/11.19 % Computer : n013.cluster.edu
% 0.09/11.19 % Model : x86_64 x86_64
% 0.09/11.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/11.19 % Memory : 8046.5625MB
% 0.09/11.19 % OS : Linux 6.8.0-71-generic
% 0.09/11.19 % CPULimit : 300
% 0.09/11.19 % WCLimit : 300
% 0.09/11.19 % DateTime : Wed Sep 23 23:22:33 UTC 2026
% 0.09/11.19 % CPUTime :
% 0.09/11.19 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.46/14.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.46/14.20 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------