%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL440-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 07:58:55 AM UTC 2026
% Result : Unsatisfiable 20.89s 3.14s
% Output : CNFRefutation 20.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_PropLog_Othms__I_0,axiom,
! [VAR_0,VAR_1,VAR_2] : c_in(c_PropLog_Opl_Oop_A_N_62(VAR_0,VAR_0,VAR_1),c_PropLog_Othms(VAR_2,VAR_1),tc_PropLog_Opl(VAR_1)),
file('theBenchmark.p',cls_PropLog_Othms__I_0) ).
cnf(c_984,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,A,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B)),
inference(clausify,[status(thm)],[cls_PropLog_Othms__I_0]) ).
fof(cls_conjecture_0,axiom,
~ 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('theBenchmark.p',cls_conjecture_0) ).
cnf(c_988,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(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_989,plain,
$false,
inference(resolve,[status(thm)],[c_984,c_988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL440-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 22:39:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 228823 was started by sandbox on n001,
% 0.08/0.36 % Fri Sep 25 22:39:27 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.39
% 0.08/0.39 % From the command line: assign(max_seconds, 300).
% 20.89/3.14
% 20.89/3.14 % SZS status Unsatisfiable for theBenchmark
% 20.89/3.14
% 20.89/3.14 % Proof 1 at 2.40 (+ 0.01) seconds.
% 20.89/3.14 % Length of proof is 3.
% 20.89/3.14 % Level of proof is 1.
% 20.89/3.14 % Maximum clause weight is 14.000.
% 20.89/3.14 % Given clauses 0.
% 20.89/3.14
% 20.89/3.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------