TSTP Solution File: SYN036-4 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN036-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 21 07:56:25 EDT 2024

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   22
% Syntax   : Number of clauses     :  110 (   7 unt;  69 nHn;  33 RR)
%            Number of literals    :  454 (   0 equ; 219 neg)
%            Maximal clause size   :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :  213 ( 131 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_16,negated_conjecture,
    ( p(cx)
    | ~ p(X1)
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).

cnf(clause_3,negated_conjecture,
    ( p(cx)
    | q(X2)
    | ~ p(X1)
    | ~ q(cw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,negated_conjecture,
    ( p(cx)
    | q(cw)
    | ~ p(X1)
    | ~ q(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_6,negated_conjecture,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_2,negated_conjecture,
    ( p(X2)
    | q(cw)
    | ~ p(cx)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_7,negated_conjecture,
    ( p(X2)
    | ~ p(cx)
    | ~ q(cw)
    | ~ q(X1)
    | ~ q(fz5(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_1,negated_conjecture,
    ( p(X1)
    | q(X2)
    | ~ p(cx)
    | ~ q(cw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_5,negated_conjecture,
    ( q(X2)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(cw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_17,negated_conjecture,
    ( p(cx)
    | q(X3)
    | q(fz5(X3))
    | ~ p(X1)
    | ~ q(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).

cnf(clause_14,negated_conjecture,
    ( p(X3)
    | p(fy5(X3))
    | q(cw)
    | ~ p(X1)
    | ~ q(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).

cnf(clause_23,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).

cnf(clause_20,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy(X2))
    | q(cw)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).

cnf(clause_31,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy5(X2))
    | q(cw)
    | ~ q(X1)
    | ~ q(fz5(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).

cnf(clause_32,negated_conjecture,
    ( p(cx)
    | p(X1)
    | p(fy5(X1))
    | q(cw)
    | q(X2)
    | q(fz5(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).

cnf(clause_15,negated_conjecture,
    ( p(cx)
    | q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).

cnf(clause_10,negated_conjecture,
    ( p(X1)
    | q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(cx) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

cnf(clause_21,negated_conjecture,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(X2)
    | ~ q(fz(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).

cnf(clause_22,negated_conjecture,
    ( q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).

cnf(clause_19,negated_conjecture,
    ( p(cx)
    | p(X1)
    | p(fy(X1))
    | q(X2)
    | ~ q(cw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).

cnf(clause_30,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy(X2))
    | ~ q(cw)
    | ~ q(X1)
    | ~ q(fz(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).

cnf(clause_11,negated_conjecture,
    ( p(X2)
    | q(X3)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(cw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).

cnf(clause_24,negated_conjecture,
    ( p(cx)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).

cnf(c_0_22,negated_conjecture,
    ( p(cx)
    | ~ p(X1)
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz5(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_16]) ).

cnf(c_0_23,negated_conjecture,
    ( p(cx)
    | q(X2)
    | ~ p(X1)
    | ~ q(cw) ),
    inference(fof_simplification,[status(thm)],[clause_3]) ).

cnf(c_0_24,negated_conjecture,
    ( p(cx)
    | q(cw)
    | ~ p(X1)
    | ~ q(X2) ),
    inference(fof_simplification,[status(thm)],[clause_4]) ).

cnf(c_0_25,negated_conjecture,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(X2) ),
    inference(fof_simplification,[status(thm)],[clause_6]) ).

cnf(c_0_26,negated_conjecture,
    ( p(X2)
    | q(cw)
    | ~ p(cx)
    | ~ q(X1) ),
    inference(fof_simplification,[status(thm)],[clause_2]) ).

cnf(c_0_27,negated_conjecture,
    ( p(X2)
    | ~ p(cx)
    | ~ q(cw)
    | ~ q(X1)
    | ~ q(fz5(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_7]) ).

cnf(c_0_28,negated_conjecture,
    ( p(X1)
    | q(X2)
    | ~ p(cx)
    | ~ q(cw) ),
    inference(fof_simplification,[status(thm)],[clause_1]) ).

cnf(c_0_29,negated_conjecture,
    ( q(X2)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(cw) ),
    inference(fof_simplification,[status(thm)],[clause_5]) ).

cnf(c_0_30,negated_conjecture,
    ( p(cx)
    | q(X3)
    | q(fz5(X3))
    | ~ p(X1)
    | ~ q(X2) ),
    inference(fof_simplification,[status(thm)],[clause_17]) ).

cnf(c_0_31,negated_conjecture,
    ( p(cx)
    | ~ p(X1)
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz5(X2)) ),
    c_0_22 ).

cnf(c_0_32,negated_conjecture,
    ( p(cx)
    | q(X2)
    | ~ p(X1)
    | ~ q(cw) ),
    c_0_23 ).

cnf(c_0_33,negated_conjecture,
    ( p(cx)
    | q(cw)
    | ~ p(X1)
    | ~ q(X2) ),
    c_0_24 ).

cnf(c_0_34,negated_conjecture,
    ( p(X3)
    | p(fy5(X3))
    | q(cw)
    | ~ p(X1)
    | ~ q(X2) ),
    inference(fof_simplification,[status(thm)],[clause_14]) ).

cnf(c_0_35,negated_conjecture,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(X2) ),
    c_0_25 ).

cnf(c_0_36,negated_conjecture,
    ( p(X2)
    | q(cw)
    | ~ p(cx)
    | ~ q(X1) ),
    c_0_26 ).

cnf(c_0_37,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz5(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_23]) ).

cnf(c_0_38,negated_conjecture,
    ( p(X2)
    | ~ p(cx)
    | ~ q(cw)
    | ~ q(X1)
    | ~ q(fz5(X1)) ),
    c_0_27 ).

cnf(c_0_39,negated_conjecture,
    ( p(X1)
    | q(X2)
    | ~ p(cx)
    | ~ q(cw) ),
    c_0_28 ).

cnf(c_0_40,negated_conjecture,
    ( q(X2)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(cw) ),
    c_0_29 ).

cnf(c_0_41,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy(X2))
    | q(cw)
    | ~ q(X1) ),
    inference(fof_simplification,[status(thm)],[clause_20]) ).

cnf(c_0_42,negated_conjecture,
    ( p(cx)
    | q(X3)
    | q(fz5(X3))
    | ~ p(X1)
    | ~ q(X2) ),
    c_0_30 ).

cnf(c_0_43,negated_conjecture,
    ( p(cx)
    | ~ q(fz5(X1))
    | ~ p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy5(X2))
    | q(cw)
    | ~ q(X1)
    | ~ q(fz5(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_31]) ).

cnf(c_0_45,negated_conjecture,
    ( p(X3)
    | p(fy5(X3))
    | q(cw)
    | ~ p(X1)
    | ~ q(X2) ),
    c_0_34 ).

cnf(c_0_46,negated_conjecture,
    ( q(cw)
    | ~ q(X1)
    | ~ p(fy5(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_35,c_0_36]),c_0_33]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ p(cx)
    | ~ p(X1)
    | ~ p(fy5(X1))
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz5(X2)) ),
    c_0_37 ).

cnf(c_0_48,negated_conjecture,
    ( p(X1)
    | ~ q(fz5(X2))
    | ~ p(cx) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_38,c_0_39]),c_0_36]) ).

cnf(c_0_49,negated_conjecture,
    ( q(X1)
    | ~ q(cw)
    | ~ p(fy5(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_39]),c_0_32]) ).

cnf(c_0_50,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy(X2))
    | q(cw)
    | ~ q(X1) ),
    c_0_41 ).

cnf(c_0_51,negated_conjecture,
    ( p(cx)
    | p(X1)
    | p(fy5(X1))
    | q(cw)
    | q(X2)
    | q(fz5(X2)) ),
    clause_32 ).

cnf(c_0_52,negated_conjecture,
    ( q(X1)
    | p(cx)
    | ~ q(X2)
    | ~ p(X3) ),
    inference(csr,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_53,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy5(X2))
    | q(cw)
    | ~ q(X1)
    | ~ q(fz5(X1)) ),
    c_0_44 ).

cnf(c_0_54,negated_conjecture,
    ( q(cw)
    | p(X1)
    | ~ q(X2)
    | ~ p(X3) ),
    inference(csr,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ q(fz5(X1))
    | ~ p(fy5(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_47,c_0_48]),c_0_43]),c_0_49]),c_0_46]) ).

cnf(c_0_56,negated_conjecture,
    ( q(cw)
    | p(fy(X1))
    | ~ q(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_50,c_0_33]),c_0_36]) ).

cnf(c_0_57,negated_conjecture,
    ( q(cw)
    | p(fy5(X1))
    | p(cx)
    | p(X1)
    | ~ p(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( p(cx)
    | q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(X1) ),
    inference(fof_simplification,[status(thm)],[clause_15]) ).

cnf(c_0_59,negated_conjecture,
    ( q(cw)
    | ~ q(fz5(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_53,c_0_43]),c_0_54]),c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( q(cw)
    | q(X1)
    | p(fy5(X2))
    | p(cx)
    | p(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( p(X1)
    | q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(cx) ),
    inference(fof_simplification,[status(thm)],[clause_10]) ).

cnf(c_0_62,negated_conjecture,
    ( p(cx)
    | q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(X1) ),
    c_0_58 ).

cnf(c_0_63,negated_conjecture,
    ( q(cw)
    | p(fy5(X1))
    | p(cx)
    | p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(X2)
    | ~ q(fz(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_21]) ).

cnf(c_0_65,negated_conjecture,
    ( p(X1)
    | q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(cx) ),
    c_0_61 ).

cnf(c_0_66,negated_conjecture,
    ( q(fz(X1))
    | p(cx)
    | ~ p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_62,c_0_33]),c_0_32]) ).

cnf(c_0_67,negated_conjecture,
    ( q(cw)
    | p(cx)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_63]),c_0_52]) ).

cnf(c_0_68,negated_conjecture,
    ( q(cw)
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(X2)
    | ~ q(fz(X2)) ),
    c_0_64 ).

cnf(c_0_69,negated_conjecture,
    ( q(fz(X1))
    | p(X2)
    | ~ p(cx) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_65,c_0_36]),c_0_39]) ).

cnf(c_0_70,negated_conjecture,
    ( q(cw)
    | p(cx) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63]),c_0_66]),c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( q(cw)
    | ~ q(fz(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_68,c_0_36]),c_0_33]),c_0_56]) ).

cnf(c_0_72,negated_conjecture,
    ( q(fz(X1))
    | q(cw)
    | p(X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( q(cw)
    | p(X1)
    | ~ q(X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_74,negated_conjecture,
    ( q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_22]) ).

cnf(c_0_75,negated_conjecture,
    ( q(cw)
    | p(X1)
    | p(X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    ( p(cx)
    | p(X1)
    | p(fy(X1))
    | q(X2)
    | ~ q(cw) ),
    inference(fof_simplification,[status(thm)],[clause_19]) ).

cnf(c_0_77,negated_conjecture,
    ( q(cw)
    | q(X2)
    | q(fz(X2))
    | ~ p(cx)
    | ~ p(X1)
    | ~ p(fy(X1)) ),
    c_0_74 ).

cnf(c_0_78,negated_conjecture,
    ( q(cw)
    | p(X1) ),
    inference(ef,[status(thm)],[c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    ( p(cx)
    | p(X1)
    | p(fy(X1))
    | q(X2)
    | ~ q(cw) ),
    c_0_76 ).

cnf(c_0_80,negated_conjecture,
    ( q(fz(X1))
    | q(cw)
    | q(X1)
    | ~ p(fy(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_77,c_0_69]),c_0_66]) ).

cnf(c_0_81,negated_conjecture,
    ( q(cw)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy(X2))
    | ~ q(cw)
    | ~ q(X1)
    | ~ q(fz(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_30]) ).

cnf(c_0_83,negated_conjecture,
    ( q(X1)
    | p(fy(X2))
    | ~ q(cw) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_79,c_0_32]),c_0_39]) ).

cnf(c_0_84,negated_conjecture,
    q(cw),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_81]),c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( p(X2)
    | q(X3)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(cw) ),
    inference(fof_simplification,[status(thm)],[clause_11]) ).

cnf(c_0_86,negated_conjecture,
    ( p(cx)
    | p(X2)
    | p(fy(X2))
    | ~ q(cw)
    | ~ q(X1)
    | ~ q(fz(X1)) ),
    c_0_82 ).

cnf(c_0_87,negated_conjecture,
    ( q(X1)
    | p(fy(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).

cnf(c_0_88,negated_conjecture,
    ( p(cx)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_24]) ).

cnf(c_0_89,negated_conjecture,
    ( p(X2)
    | q(X3)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(cw) ),
    c_0_85 ).

cnf(c_0_90,negated_conjecture,
    ( p(fy(X1))
    | p(cx)
    | p(X1)
    | ~ q(fz(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_86,c_0_83]),c_0_56]) ).

cnf(c_0_91,negated_conjecture,
    ( p(fy(X1))
    | p(cx)
    | ~ p(X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    ( p(fy(X1))
    | p(X2)
    | ~ p(cx) ),
    inference(spm,[status(thm)],[c_0_48,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    ( p(cx)
    | ~ p(X1)
    | ~ p(fy(X1))
    | ~ q(cw)
    | ~ q(X2)
    | ~ q(fz(X2)) ),
    c_0_88 ).

cnf(c_0_94,negated_conjecture,
    ( q(X1)
    | p(X2)
    | ~ q(cw)
    | ~ p(X3) ),
    inference(csr,[status(thm)],[c_0_89,c_0_83]) ).

cnf(c_0_95,negated_conjecture,
    ( p(fy(X1))
    | p(fy(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_87]),c_0_91]),c_0_92]) ).

cnf(c_0_96,negated_conjecture,
    ( p(cx)
    | ~ q(fz(X1))
    | ~ p(fy(X2))
    | ~ p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_93,c_0_32]),c_0_33]) ).

cnf(c_0_97,negated_conjecture,
    ( q(X1)
    | p(X2)
    | ~ p(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_84])]) ).

cnf(c_0_98,negated_conjecture,
    p(fy(X1)),
    inference(ef,[status(thm)],[c_0_95]) ).

cnf(c_0_99,negated_conjecture,
    ( p(cx)
    | ~ p(fy(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_96,c_0_66]) ).

cnf(c_0_100,negated_conjecture,
    ( q(X1)
    | ~ p(fy5(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_84])]) ).

cnf(c_0_101,negated_conjecture,
    ( q(X1)
    | p(X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_102,negated_conjecture,
    ( p(cx)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_98])]) ).

cnf(c_0_103,negated_conjecture,
    ( q(X1)
    | q(X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    p(cx),
    inference(spm,[status(thm)],[c_0_102,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    q(X1),
    inference(ef,[status(thm)],[c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    ( p(X1)
    | ~ q(fz5(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_104])]) ).

cnf(c_0_107,negated_conjecture,
    ~ p(fy5(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_105])]) ).

cnf(c_0_108,negated_conjecture,
    p(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_105])]) ).

cnf(c_0_109,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN036-4 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 15:09:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # new_bool_3 with pid 20388 completed with status 0
% 0.21/0.51  # Result found by new_bool_3
% 0.21/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.21/0.51  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 20394 completed with status 0
% 0.21/0.51  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.21/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 32
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 32
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 32
% 0.21/0.51  # Processed clauses                    : 100
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 15
% 0.21/0.51  # ...remaining for further processing  : 85
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 39
% 0.21/0.51  # Backward-rewritten                   : 20
% 0.21/0.51  # Generated clauses                    : 125
% 0.21/0.51  # ...of the previous two non-redundant : 111
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 52
% 0.21/0.51  # Paramodulations                      : 119
% 0.21/0.51  # Factorizations                       : 6
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 19
% 0.21/0.51  # ...of those cached                   : 7
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 2
% 0.21/0.51  #    Positive orientable unit clauses  : 2
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 0
% 0.21/0.51  #    Non-unit-clauses                  : 0
% 0.21/0.51  # Current number of unprocessed clauses: 25
% 0.21/0.51  # ...number of literals in the above   : 103
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 83
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 184
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 145
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 101
% 0.21/0.51  # Unit Clause-clause subsumption calls : 5
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 12
% 0.21/0.51  # BW rewrite match successes           : 12
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 3745
% 0.21/0.51  # Search garbage collected termcells   : 98
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.010 s
% 0.21/0.51  # System time              : 0.001 s
% 0.21/0.51  # Total time               : 0.011 s
% 0.21/0.51  # Maximum resident set size: 1752 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.013 s
% 0.21/0.51  # System time              : 0.002 s
% 0.21/0.51  # Total time               : 0.015 s
% 0.21/0.51  # Maximum resident set size: 1756 pages
% 0.21/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------