TSTP Solution File: LCL444-2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL444-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 : Sat May  4 08:27:33 EDT 2024

% Result   : Unsatisfiable 130.60s 16.88s
% Output   : CNFRefutation 130.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   93 (  64 unt;   0 nHn;  30 RR)
%            Number of literals    :  125 (   0 equ;  35 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :  408 ( 121 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OinsertCI_0,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_Set_OinsertCI_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/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_PropLog_Othms_OH_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    file('/export/starexec/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_Set_OinsertCI_1) ).

cnf(cls_PropLog_Odeduction_0,axiom,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
    | ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_PropLog_Odeduction_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/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_PropLog_Othms_OMP_0) ).

cnf(cls_PropLog_Othms_ODN_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Ofalse,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    file('/export/starexec/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_PropLog_Othms_ODN_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p',cls_conjecture_0) ).

cnf(c_0_7,plain,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OinsertCI_0]) ).

cnf(c_0_8,plain,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_PropLog_Othms_OH_0]) ).

cnf(c_0_9,plain,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    c_0_7 ).

cnf(c_0_10,axiom,
    c_in(X1,c_insert(X1,X2,X3),X3),
    cls_Set_OinsertCI_1 ).

cnf(c_0_11,plain,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
    | ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(fof_simplification,[status(thm)],[cls_PropLog_Odeduction_0]) ).

cnf(c_0_12,plain,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
    c_0_8 ).

cnf(c_0_13,plain,
    c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( 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)) ),
    inference(fof_simplification,[status(thm)],[cls_PropLog_Othms_OMP_0]) ).

cnf(c_0_15,plain,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
    | ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    c_0_11 ).

cnf(c_0_16,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X1,X3,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( 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)) ),
    c_0_14 ).

cnf(c_0_18,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_19,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(X2,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,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(X2,X1,X4),c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,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(c_PropLog_Opl_Oop_A_N_62(X5,X2,X4),X1,X4),c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_19]) ).

cnf(c_0_22,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Ofalse,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    cls_PropLog_Othms_ODN_0 ).

cnf(c_0_23,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X4,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_24,plain,
    c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ofalse,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X3,X1,X4),c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_23]) ).

cnf(c_0_26,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_24]) ).

cnf(c_0_27,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,X4,tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X3,X1,X5),c_PropLog_Othms(c_insert(X2,c_insert(X3,X4,tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_28,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X2,X4),X1,X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_21,c_0_16]) ).

cnf(c_0_30,plain,
    c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),c_insert(X2,X4,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_27,c_0_18]) ).

cnf(c_0_31,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_28]) ).

cnf(c_0_32,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),X2,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_29]) ).

cnf(c_0_33,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X2,X3),c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_30]) ).

cnf(c_0_34,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X5,X3),X1,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_31]) ).

cnf(c_0_35,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),c_PropLog_Opl_Oop_A_N_62(X2,X4,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_32]) ).

cnf(c_0_36,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(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X5,X4),X5,X4),X1,X4),c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_33]) ).

cnf(c_0_37,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Opl_Ofalse,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X3,X4),X1,X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_36,c_0_16]) ).

cnf(c_0_39,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),c_PropLog_Opl_Ofalse,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X6,X4),X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),c_PropLog_Opl_Ofalse,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_37]) ).

cnf(c_0_40,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X4,X3),X2,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_38]) ).

cnf(c_0_41,plain,
    c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X1,X3),X1,X3),c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X1,X3),X1,X3),c_PropLog_Opl_Ofalse,X3),c_PropLog_Opl_Ofalse,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_41]) ).

cnf(c_0_43,plain,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X5,X3),X4,X3),X4,X3),c_PropLog_Opl_Ofalse,X3),c_PropLog_Opl_Ofalse,X3),X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_42]) ).

cnf(c_0_44,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X1,X3),X1,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_43,c_0_22]) ).

cnf(c_0_45,plain,
    c_in(X1,c_insert(X2,c_insert(X3,c_insert(X1,X4,X5),X5),X5),X5),
    inference(spm,[status(thm)],[c_0_9,c_0_13]) ).

cnf(c_0_46,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X1,X4),X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_25,c_0_44]) ).

cnf(c_0_47,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(X1,X4,tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),
    inference(spm,[status(thm)],[c_0_12,c_0_45]) ).

cnf(c_0_48,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X2,X3),X4,X3),c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_40]) ).

cnf(c_0_49,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X4,X3),X2,X3),X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_46]) ).

cnf(c_0_50,plain,
    c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(X3,X1,X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_27,c_0_47]) ).

cnf(c_0_51,plain,
    c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Ofalse,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
    inference(spm,[status(thm)],[c_0_20,c_0_22]) ).

cnf(c_0_52,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_33]) ).

cnf(c_0_53,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Oop_A_N_62(X1,X3,X2),X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_31]) ).

cnf(c_0_54,plain,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X5,X3),X5,X3),X6,X3),c_PropLog_Opl_Oop_A_N_62(X4,X6,X3),X3),X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_48]) ).

cnf(c_0_55,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(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X2,X4),X4),c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_15,c_0_49]) ).

cnf(c_0_56,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(X4,c_insert(c_PropLog_Opl_Oop_A_N_62(X4,X2,X3),X5,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_50]) ).

cnf(c_0_57,plain,
    c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),c_PropLog_Opl_Ofalse,X3),c_PropLog_Opl_Ofalse,X3),c_insert(X2,X4,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_27,c_0_51]) ).

cnf(c_0_58,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X2,X3),c_PropLog_Othms(c_insert(X4,c_insert(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),X5,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_52]) ).

cnf(c_0_59,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(X4,c_insert(c_PropLog_Opl_Oop_A_N_62(X4,c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X3),X5,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_53]) ).

cnf(c_0_60,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),X4,X3),X1,X3),X1,X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_61,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_15,c_0_56]) ).

cnf(c_0_62,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Opl_Ofalse,X3),c_PropLog_Opl_Ofalse,X3),X2,X3),c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_57]) ).

cnf(c_0_63,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X3,X4),X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_15,c_0_58]) ).

cnf(c_0_64,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X4),X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_15,c_0_59]) ).

cnf(c_0_65,plain,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X5,X3),X6,X3),X6,X3),X4,X3),X4,X3),X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_60]) ).

cnf(c_0_66,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,c_PropLog_Opl_Oop_A_N_62(X4,X2,X3),X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_61]) ).

cnf(c_0_67,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X6,X3,X4),X4),X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_61]) ).

cnf(c_0_68,plain,
    c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X1,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_43,c_0_62]) ).

cnf(c_0_69,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X6,X4),X6,X4),X4),X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_63]) ).

cnf(c_0_70,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,c_PropLog_Opl_Ofalse,X3),X3),c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X4,X3),X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_64]) ).

cnf(c_0_71,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),X4,X3),X1,X3),c_PropLog_Opl_Oop_A_N_62(X5,X1,X3),X3),c_PropLog_Othms(X6,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_72,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),X2,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_67,c_0_44]) ).

cnf(c_0_73,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X2,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X2,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_68]) ).

cnf(c_0_74,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Ofalse,X3),X4,X3),X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,plain,
    ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X5,X3),X6,X3),X6,X3),X4,X3),c_PropLog_Opl_Oop_A_N_62(X7,X4,X3),X3),X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_71]) ).

cnf(c_0_76,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),X2,X3),c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_72]) ).

cnf(c_0_77,plain,
    c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X2,X4),c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),X5,tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
    inference(spm,[status(thm)],[c_0_73,c_0_16]) ).

cnf(c_0_78,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X4),X6,X4),X4),X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_74]) ).

cnf(c_0_79,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),X3),c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_80,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X1,X3),X4,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_77]) ).

cnf(c_0_81,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),X3,X2),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X4,X2),X1,X2),X5,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_82,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X6,X4),X2,X4),X3,X4),X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_80]) ).

cnf(c_0_83,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,c_PropLog_Opl_Ofalse,X3),X1,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_81]) ).

cnf(c_0_84,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Oop_A_N_62(X3,X4,X2),X2),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X3,X1,X2),X5,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_85,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X2,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X4,X3),X1,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_69,c_0_79]) ).

cnf(c_0_86,plain,
    ( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X4),c_PropLog_Opl_Oop_A_N_62(X2,X6,X4),X4),X1,X4),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X3,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_84]) ).

cnf(c_0_87,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),X1,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_89,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,X3),X4,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    c_0_88 ).

cnf(c_0_91,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(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X2,X3),X2,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : LCL444-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n031.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 09:33:16 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.rSCUkv673L/E---3.1_12348.p
% 130.60/16.88  # Version: 3.1.0
% 130.60/16.88  # Preprocessing class: FSMSSMSSSSSNFFN.
% 130.60/16.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 130.60/16.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 130.60/16.88  # Starting new_bool_3 with 300s (1) cores
% 130.60/16.88  # Starting new_bool_1 with 300s (1) cores
% 130.60/16.88  # Starting sh5l with 300s (1) cores
% 130.60/16.88  # sh5l with pid 12429 completed with status 0
% 130.60/16.88  # Result found by sh5l
% 130.60/16.88  # Preprocessing class: FSMSSMSSSSSNFFN.
% 130.60/16.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 130.60/16.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 130.60/16.88  # Starting new_bool_3 with 300s (1) cores
% 130.60/16.88  # Starting new_bool_1 with 300s (1) cores
% 130.60/16.88  # Starting sh5l with 300s (1) cores
% 130.60/16.88  # SinE strategy is gf500_gu_R04_F100_L20000
% 130.60/16.88  # Search class: FHUNS-FFSF32-MFFFFFNN
% 130.60/16.88  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 130.60/16.88  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 130.60/16.88  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 12435 completed with status 0
% 130.60/16.88  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 130.60/16.88  # Preprocessing class: FSMSSMSSSSSNFFN.
% 130.60/16.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 130.60/16.88  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 130.60/16.88  # Starting new_bool_3 with 300s (1) cores
% 130.60/16.88  # Starting new_bool_1 with 300s (1) cores
% 130.60/16.88  # Starting sh5l with 300s (1) cores
% 130.60/16.88  # SinE strategy is gf500_gu_R04_F100_L20000
% 130.60/16.88  # Search class: FHUNS-FFSF32-MFFFFFNN
% 130.60/16.88  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 130.60/16.88  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 130.60/16.88  # Preprocessing time       : 0.001 s
% 130.60/16.88  # Presaturation interreduction done
% 130.60/16.88  
% 130.60/16.88  # Proof found!
% 130.60/16.88  # SZS status Unsatisfiable
% 130.60/16.88  # SZS output start CNFRefutation
% See solution above
% 130.60/16.88  # Parsed axioms                        : 7
% 130.60/16.88  # Removed by relevancy pruning/SinE    : 0
% 130.60/16.88  # Initial clauses                      : 7
% 130.60/16.88  # Removed in clause preprocessing      : 0
% 130.60/16.88  # Initial clauses in saturation        : 7
% 130.60/16.88  # Processed clauses                    : 6446
% 130.60/16.88  # ...of these trivial                  : 3284
% 130.60/16.88  # ...subsumed                          : 0
% 130.60/16.88  # ...remaining for further processing  : 3162
% 130.60/16.88  # Other redundant clauses eliminated   : 0
% 130.60/16.88  # Clauses deleted for lack of memory   : 0
% 130.60/16.88  # Backward-subsumed                    : 105
% 130.60/16.88  # Backward-rewritten                   : 205
% 130.60/16.88  # Generated clauses                    : 1280552
% 130.60/16.88  # ...of the previous two non-redundant : 747379
% 130.60/16.88  # ...aggressively subsumed             : 0
% 130.60/16.88  # Contextual simplify-reflections      : 0
% 130.60/16.88  # Paramodulations                      : 1280552
% 130.60/16.88  # Factorizations                       : 0
% 130.60/16.88  # NegExts                              : 0
% 130.60/16.88  # Equation resolutions                 : 0
% 130.60/16.88  # Disequality decompositions           : 0
% 130.60/16.88  # Total rewrite steps                  : 536116
% 130.60/16.88  # ...of those cached                   : 517664
% 130.60/16.88  # Propositional unsat checks           : 0
% 130.60/16.88  #    Propositional check models        : 0
% 130.60/16.88  #    Propositional check unsatisfiable : 0
% 130.60/16.88  #    Propositional clauses             : 0
% 130.60/16.88  #    Propositional clauses after purity: 0
% 130.60/16.88  #    Propositional unsat core size     : 0
% 130.60/16.88  #    Propositional preprocessing time  : 0.000
% 130.60/16.88  #    Propositional encoding time       : 0.000
% 130.60/16.88  #    Propositional solver time         : 0.000
% 130.60/16.88  #    Success case prop preproc time    : 0.000
% 130.60/16.88  #    Success case prop encoding time   : 0.000
% 130.60/16.88  #    Success case prop solver time     : 0.000
% 130.60/16.88  # Current number of processed clauses  : 2845
% 130.60/16.88  #    Positive orientable unit clauses  : 2050
% 130.60/16.88  #    Positive unorientable unit clauses: 0
% 130.60/16.88  #    Negative unit clauses             : 0
% 130.60/16.88  #    Non-unit-clauses                  : 795
% 130.60/16.88  # Current number of unprocessed clauses: 740131
% 130.60/16.88  # ...number of literals in the above   : 741024
% 130.60/16.88  # Current number of archived formulas  : 0
% 130.60/16.88  # Current number of archived clauses   : 317
% 130.60/16.88  # Clause-clause subsumption calls (NU) : 322401
% 130.60/16.88  # Rec. Clause-clause subsumption calls : 271119
% 130.60/16.88  # Non-unit clause-clause subsumptions  : 105
% 130.60/16.88  # Unit Clause-clause subsumption calls : 41
% 130.60/16.88  # Rewrite failures with RHS unbound    : 0
% 130.60/16.88  # BW rewrite match attempts            : 632224
% 130.60/16.88  # BW rewrite match successes           : 205
% 130.60/16.88  # Condensation attempts                : 0
% 130.60/16.88  # Condensation successes               : 0
% 130.60/16.88  # Termbank termtop insertions          : 23325600
% 130.60/16.88  # Search garbage collected termcells   : 16
% 130.60/16.88  
% 130.60/16.88  # -------------------------------------------------
% 130.60/16.88  # User time                : 15.771 s
% 130.60/16.88  # System time              : 0.565 s
% 130.60/16.88  # Total time               : 16.336 s
% 130.60/16.88  # Maximum resident set size: 1600 pages
% 130.60/16.88  
% 130.60/16.88  # -------------------------------------------------
% 130.60/16.88  # User time                : 15.772 s
% 130.60/16.88  # System time              : 0.568 s
% 130.60/16.88  # Total time               : 16.339 s
% 130.60/16.88  # Maximum resident set size: 1696 pages
% 130.60/16.88  % E---3.1 exiting
%------------------------------------------------------------------------------