%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL446-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:40:24 PM UTC 2026
% Result : Unsatisfiable 0.26s 1.63s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 8 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 47 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OS_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Othms_OK_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_4,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
cls_PropLog_Othms_OS_0,
[final] ).
cnf(i_0_5,axiom,
( c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
cls_PropLog_Othms_OMP_0,
[final] ).
cnf(i_0_6,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
cls_PropLog_Othms_OK_0,
[final] ).
cnf(i_0_7,negated_conjecture,
~ 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)),
cls_conjecture_0,
[final] ).
cnf(i_0_8,plain,
~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_7,i_0_6,i_0_5]) ).
cnf(i_0_9,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_10,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_11,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Opl_Oop_A_N_62(X1,X1,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_4,i_0_6,i_0_5]) ).
cnf(i_0_12,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
inference(rename_variables,[],[i_0_4]) ).
cnf(i_0_13,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_14,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_11,i_0_6,i_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL446-2 : TPTP v9.2.1. Released v3.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 22:35:59 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.20/0.35 % start to proof: theBenchmark
% 0.26/1.63 % Version : CSE_E---1.7
% 0.26/1.63 % Problem : theBenchmark.p
% 0.26/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.63 % SZS output start CNFRefutation
% See solution above
% 0.26/1.65 % Total time : 1.273s
%------------------------------------------------------------------------------