%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL433-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 04:40:20 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.85s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 8 unt; 0 nHn; 18 RR)
% Number of literals : 41 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_PropLog_Osat__imp_0,axiom,
( c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)
| ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_8,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 ).
cnf(c_0_9,axiom,
( c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
cls_PropLog_Oweaken__left__insert_0 ).
cnf(c_0_10,plain,
( c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| ~ c_in(X5,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X5,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
cls_PropLog_Othms_OH_0 ).
cnf(c_0_12,plain,
( c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X5,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
| ~ c_in(X5,c_insert(X2,X3,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( c_in(X1,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X1,t_a) ),
cls_conjecture_4 ).
cnf(c_0_14,negated_conjecture,
( c_in(X1,c_PropLog_Othms(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X3,c_insert(X2,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X3,X1,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1 ).
cnf(c_0_16,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_3 ).
cnf(c_0_17,negated_conjecture,
( c_in(X1,c_PropLog_Othms(c_insert(X2,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),t_a) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
( c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3)
| ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3) ),
cls_PropLog_Osat__imp_0 ).
cnf(c_0_20,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
cls_conjecture_2 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.19 % Problem : LCL433-2 : TPTP v9.2.1. Released v3.2.0.
% 0.03/0.19 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.41 % Computer : n014.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8042.1875MB
% 0.13/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon May 4 22:34:51 EDT 2026
% 0.13/0.41 % CPUTime :
% 0.15/0.45 % start to proof: theBenchmark
% 1.15/1.85 % Version : CSE_E---1.7
% 1.15/1.85 % Problem : theBenchmark.p
% 1.15/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.85 % SZS output start CNFRefutation
% See solution above
% 1.15/1.85 % Total time : 1.388s
%------------------------------------------------------------------------------