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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO680-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 : Thu Sep 24 03:48:26 PM UTC 2026

% Result   : Unsatisfiable 0.15s 5.46s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   74 (  10 unt;  32 nHn;  60 RR)
%            Number of literals    :  258 (   0 equ; 175 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   98 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_71,axiom,
    ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
    | ~ 'E'(s(s(s('0'))),f(suc(X2)))
    | ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ 'E'(s(s(s('0'))),f(X3))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(X2))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_71) ).

cnf(clause_14,axiom,
    ( ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).

cnf(clause_102,axiom,
    ( ~ 'LE'(f(suc(X1)),s(s(s(s('0')))))
    | 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_102) ).

cnf(clause_127,axiom,
    ( ~ 'LE'(f(X1),s(s(s(s('0')))))
    | 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_127) ).

cnf(clause_20,axiom,
    ( ~ 'E'(s(s('0')),f(X3))
    | ~ 'E'(s(s('0')),f(X2))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s(s('0')),f(suc(X2)))
    | ~ 'E'(s(s('0')),f(suc(X3)))
    | ~ iLEQ(suc(X1),suc(X2))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

cnf(clause_5,axiom,
    ( ~ 'E'(s(s('0')),f(suc(X1)))
    | ~ 'E'(s(s('0')),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_104,axiom,
    'LE'(f(X1),s(s(s(s('0'))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_104) ).

cnf(clause_84,axiom,
    ( ~ 'LE'(f(suc(X1)),s(s(s('0'))))
    | 'LE'(f(X1),s(s('0')))
    | 'E'(s(s('0')),f(suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_84) ).

cnf(clause_51,axiom,
    ( ~ 'LE'(f(X1),s(s(s('0'))))
    | 'LE'(f(X1),s(s('0')))
    | 'E'(s(s('0')),f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).

cnf(clause_21,axiom,
    ( ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(suc(X1)))
    | ~ 'E'(s('0'),f(X2))
    | ~ 'E'(s('0'),f(X3))
    | ~ 'E'(s('0'),f(suc(X2)))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).

cnf(clause_91,axiom,
    ( ~ 'E'(s('0'),f(suc(X1)))
    | ~ 'E'(s('0'),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_91) ).

cnf(clause_15,axiom,
    ( ~ 'LE'(f(suc(X1)),s(s('0')))
    | 'LE'(f(X1),s('0'))
    | 'E'(s('0'),f(suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

cnf(clause_6,axiom,
    ( ~ 'LE'(f(X1),s(s('0')))
    | 'LE'(f(X1),s('0'))
    | 'E'(s('0'),f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_144,axiom,
    ( ~ 'E'('0',f(X3))
    | ~ 'E'('0',f(X2))
    | ~ 'E'('0',f(suc(X3)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(suc(X2)))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ iLEQ(suc(X1),suc(X2))
    | ~ 'E'('0',f(suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_144) ).

cnf(clause_109,axiom,
    ( ~ 'E'('0',f(suc(X1)))
    | ~ 'E'('0',f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_109) ).

cnf(clause_114,axiom,
    ( ~ 'LE'(f(suc(X1)),s('0'))
    | 'LE'(f(X1),'0')
    | 'E'('0',f(suc(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_114) ).

cnf(clause_96,axiom,
    ( ~ 'LE'(f(X1),s('0'))
    | 'LE'(f(X1),'0')
    | 'E'('0',f(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_96) ).

cnf(clause_66,axiom,
    ~ 'LE'(f(z),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_66) ).

cnf(c_0_18,plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
    | ~ 'E'(s(s(s('0'))),f(suc(X2)))
    | ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ 'E'(s(s(s('0'))),f(X3))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(X2))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_71]) ).

cnf(c_0_19,plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_14]) ).

cnf(c_0_20,plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
    | ~ 'E'(s(s(s('0'))),f(suc(X2)))
    | ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ 'E'(s(s(s('0'))),f(X3))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(X2))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    c_0_18 ).

cnf(c_0_21,plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    c_0_19 ).

cnf(c_0_22,plain,
    ( ~ 'LE'(f(suc(X1)),s(s(s(s('0')))))
    | 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(suc(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_102]) ).

cnf(c_0_23,plain,
    ( ~ 'LE'(f(X1),s(s(s(s('0')))))
    | 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_127]) ).

cnf(c_0_24,plain,
    ( ~ 'E'(s(s('0')),f(X3))
    | ~ 'E'(s(s('0')),f(X2))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s(s('0')),f(suc(X2)))
    | ~ 'E'(s(s('0')),f(suc(X3)))
    | ~ iLEQ(suc(X1),suc(X2))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(suc(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_20]) ).

cnf(c_0_25,plain,
    ( ~ 'E'(s(s('0')),f(suc(X1)))
    | ~ 'E'(s(s('0')),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_5]) ).

cnf(c_0_26,plain,
    ( ~ 'E'(s(s(s('0'))),f(X2))
    | ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(suc(X2)))
    | ~ 'E'(s(s(s('0'))),f(suc(X1)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    ( ~ 'LE'(f(suc(X1)),s(s(s(s('0')))))
    | 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(suc(X1))) ),
    c_0_22 ).

cnf(c_0_28,axiom,
    'LE'(f(X1),s(s(s(s('0'))))),
    clause_104 ).

cnf(c_0_29,plain,
    ( ~ 'LE'(f(X1),s(s(s(s('0')))))
    | 'LE'(f(X1),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(X1)) ),
    c_0_23 ).

cnf(c_0_30,plain,
    ( ~ 'E'(s(s('0')),f(X3))
    | ~ 'E'(s(s('0')),f(X2))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s(s('0')),f(suc(X2)))
    | ~ 'E'(s(s('0')),f(suc(X3)))
    | ~ iLEQ(suc(X1),suc(X2))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(suc(X1))) ),
    c_0_24 ).

cnf(c_0_31,plain,
    ( ~ 'E'(s(s('0')),f(suc(X1)))
    | ~ 'E'(s(s('0')),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    c_0_25 ).

cnf(c_0_32,plain,
    ( ~ 'LE'(f(suc(X1)),s(s(s('0'))))
    | 'LE'(f(X1),s(s('0')))
    | 'E'(s(s('0')),f(suc(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_84]) ).

cnf(c_0_33,plain,
    ( ~ 'E'(s(s(s('0'))),f(X1))
    | ~ 'E'(s(s(s('0'))),f(suc(X1))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_21]) ).

cnf(c_0_34,plain,
    ( 'E'(s(s(s('0'))),f(suc(X1)))
    | 'LE'(f(X1),s(s(s('0')))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_35,plain,
    ( 'E'(s(s(s('0'))),f(X1))
    | 'LE'(f(X1),s(s(s('0')))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_28])]) ).

cnf(c_0_36,plain,
    ( ~ 'LE'(f(X1),s(s(s('0'))))
    | 'LE'(f(X1),s(s('0')))
    | 'E'(s(s('0')),f(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_51]) ).

cnf(c_0_37,plain,
    ( ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(suc(X1)))
    | ~ 'E'(s('0'),f(X2))
    | ~ 'E'(s('0'),f(X3))
    | ~ 'E'(s('0'),f(suc(X2)))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    inference(fof_simplification,[status(thm)],[clause_21]) ).

cnf(c_0_38,plain,
    ( ~ 'E'(s('0'),f(suc(X1)))
    | ~ 'E'(s('0'),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_91]) ).

cnf(c_0_39,plain,
    ( ~ 'E'(s(s('0')),f(X2))
    | ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(suc(X2)))
    | ~ 'E'(s(s('0')),f(suc(X1)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    ( ~ 'LE'(f(suc(X1)),s(s(s('0'))))
    | 'LE'(f(X1),s(s('0')))
    | 'E'(s(s('0')),f(suc(X1))) ),
    c_0_32 ).

cnf(c_0_41,plain,
    'LE'(f(X1),s(s(s('0')))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_42,plain,
    ( ~ 'LE'(f(X1),s(s(s('0'))))
    | 'LE'(f(X1),s(s('0')))
    | 'E'(s(s('0')),f(X1)) ),
    c_0_36 ).

cnf(c_0_43,plain,
    ( ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(suc(X1)))
    | ~ 'E'(s('0'),f(X2))
    | ~ 'E'(s('0'),f(X3))
    | ~ 'E'(s('0'),f(suc(X2)))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    c_0_37 ).

cnf(c_0_44,plain,
    ( ~ 'E'(s('0'),f(suc(X1)))
    | ~ 'E'(s('0'),f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    c_0_38 ).

cnf(c_0_45,plain,
    ( ~ 'LE'(f(suc(X1)),s(s('0')))
    | 'LE'(f(X1),s('0'))
    | 'E'(s('0'),f(suc(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_15]) ).

cnf(c_0_46,plain,
    ( ~ 'E'(s(s('0')),f(X1))
    | ~ 'E'(s(s('0')),f(suc(X1))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_31]) ).

cnf(c_0_47,plain,
    ( 'E'(s(s('0')),f(suc(X1)))
    | 'LE'(f(X1),s(s('0'))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_48,plain,
    ( 'E'(s(s('0')),f(X1))
    | 'LE'(f(X1),s(s('0'))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_41])]) ).

cnf(c_0_49,plain,
    ( ~ 'LE'(f(X1),s(s('0')))
    | 'LE'(f(X1),s('0'))
    | 'E'(s('0'),f(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_6]) ).

cnf(c_0_50,plain,
    ( ~ 'E'('0',f(X3))
    | ~ 'E'('0',f(X2))
    | ~ 'E'('0',f(suc(X3)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(suc(X2)))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ iLEQ(suc(X1),suc(X2))
    | ~ 'E'('0',f(suc(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_144]) ).

cnf(c_0_51,plain,
    ( ~ 'E'('0',f(suc(X1)))
    | ~ 'E'('0',f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_109]) ).

cnf(c_0_52,plain,
    ( ~ 'E'(s('0'),f(X2))
    | ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(suc(X2)))
    | ~ 'E'(s('0'),f(suc(X1)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_53,plain,
    ( ~ 'LE'(f(suc(X1)),s(s('0')))
    | 'LE'(f(X1),s('0'))
    | 'E'(s('0'),f(suc(X1))) ),
    c_0_45 ).

cnf(c_0_54,plain,
    'LE'(f(X1),s(s('0'))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_55,plain,
    ( ~ 'LE'(f(X1),s(s('0')))
    | 'LE'(f(X1),s('0'))
    | 'E'(s('0'),f(X1)) ),
    c_0_49 ).

cnf(c_0_56,plain,
    ( ~ 'E'('0',f(X3))
    | ~ 'E'('0',f(X2))
    | ~ 'E'('0',f(suc(X3)))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(suc(X2)))
    | ~ iLEQ(suc(X3),suc(X1))
    | ~ iLEQ(suc(X1),suc(X2))
    | ~ 'E'('0',f(suc(X1))) ),
    c_0_50 ).

cnf(c_0_57,plain,
    ( ~ 'E'('0',f(suc(X1)))
    | ~ 'E'('0',f(X1))
    | iLEQ(suc(X1),suc(X1)) ),
    c_0_51 ).

cnf(c_0_58,plain,
    ( ~ 'LE'(f(suc(X1)),s('0'))
    | 'LE'(f(X1),'0')
    | 'E'('0',f(suc(X1))) ),
    inference(fof_simplification,[status(thm)],[clause_114]) ).

cnf(c_0_59,plain,
    ( ~ 'E'(s('0'),f(X1))
    | ~ 'E'(s('0'),f(suc(X1))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_44]) ).

cnf(c_0_60,plain,
    ( 'E'(s('0'),f(suc(X1)))
    | 'LE'(f(X1),s('0')) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).

cnf(c_0_61,plain,
    ( 'E'(s('0'),f(X1))
    | 'LE'(f(X1),s('0')) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_54])]) ).

cnf(c_0_62,plain,
    ( ~ 'LE'(f(X1),s('0'))
    | 'LE'(f(X1),'0')
    | 'E'('0',f(X1)) ),
    inference(fof_simplification,[status(thm)],[clause_96]) ).

cnf(c_0_63,plain,
    ( ~ 'E'('0',f(X2))
    | ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(suc(X2)))
    | ~ 'E'('0',f(suc(X1)))
    | ~ iLEQ(suc(X1),suc(X2)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,plain,
    ( ~ 'LE'(f(suc(X1)),s('0'))
    | 'LE'(f(X1),'0')
    | 'E'('0',f(suc(X1))) ),
    c_0_58 ).

cnf(c_0_65,plain,
    'LE'(f(X1),s('0')),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_66,plain,
    ( ~ 'LE'(f(X1),s('0'))
    | 'LE'(f(X1),'0')
    | 'E'('0',f(X1)) ),
    c_0_62 ).

cnf(c_0_67,plain,
    ~ 'LE'(f(z),'0'),
    inference(fof_simplification,[status(thm)],[clause_66]) ).

cnf(c_0_68,plain,
    ( ~ 'E'('0',f(X1))
    | ~ 'E'('0',f(suc(X1))) ),
    inference(spm,[status(thm)],[c_0_63,c_0_57]) ).

cnf(c_0_69,plain,
    ( 'E'('0',f(suc(X1)))
    | 'LE'(f(X1),'0') ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).

cnf(c_0_70,plain,
    ( 'E'('0',f(X1))
    | 'LE'(f(X1),'0') ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_65])]) ).

cnf(c_0_71,plain,
    ~ 'LE'(f(z),'0'),
    c_0_67 ).

cnf(c_0_72,plain,
    'LE'(f(X1),'0'),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_73,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO680-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.38  % Computer : n017.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Mon Sep 21 12:04:17 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.11/5.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.43  Running first-order theorem proving
% 0.15/5.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.46  % Version: 3.5.1
% 0.15/5.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46  % Starting new_bool_1 with 300s (1) cores
% 0.15/5.46  % Starting sh5l with 300s (1) cores
% 0.15/5.46  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2273514 completed with status 0
% 0.15/5.46  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46  % No SInE strategy applied
% 0.15/5.46  % Search class: FGHNF-FFMF11-MFFFFFNN
% 0.15/5.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46  % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.46  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/5.46  % Starting new_bool_3 with 136s (1) cores
% 0.15/5.46  % Starting new_bool_1 with 136s (1) cores
% 0.15/5.46  % SubtermCWHack with pid 2273521 completed with status 0
% 0.15/5.46  % Result found by SubtermCWHack
% 0.15/5.46  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46  % No SInE strategy applied
% 0.15/5.46  % Search class: FGHNF-FFMF11-MFFFFFNN
% 0.15/5.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46  % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.46  % Preprocessing time       : 0.001 s
% 0.15/5.46  
% 0.15/5.46  % Proof found!
% 0.15/5.46  % SZS status Unsatisfiable
% 0.15/5.46  % SZS output start CNFRefutation
% See solution above
% 0.15/5.46  % Parsed axioms                        : 18
% 0.15/5.46  % Removed by relevancy pruning/SinE    : 0
% 0.15/5.46  % Initial clauses                      : 18
% 0.15/5.46  % Removed in clause preprocessing      : 0
% 0.15/5.46  % Initial clauses in saturation        : 18
% 0.15/5.46  % Processed clauses                    : 42
% 0.15/5.46  % ...of these trivial                  : 0
% 0.15/5.46  % ...subsumed                          : 0
% 0.15/5.46  % ...remaining for further processing  : 42
% 0.15/5.46  % Other redundant clauses eliminated   : 0
% 0.15/5.46  % Clauses deleted for lack of memory   : 0
% 0.15/5.46  % Backward-subsumed                    : 21
% 0.15/5.46  % Backward-rewritten                   : 11
% 0.15/5.46  % Generated clauses                    : 38
% 0.15/5.46  % ...of the previous two non-redundant : 44
% 0.15/5.46  % ...aggressively subsumed             : 0
% 0.15/5.46  % Contextual simplify-reflections      : 4
% 0.15/5.46  % Paramodulations                      : 38
% 0.15/5.46  % Factorizations                       : 0
% 0.15/5.46  % NegExts                              : 0
% 0.15/5.46  % Equation resolutions                 : 0
% 0.15/5.46  % Disequality decompositions           : 0
% 0.15/5.46  % Total rewrite steps                  : 13
% 0.15/5.46  % ...of those cached                   : 3
% 0.15/5.46  % Propositional unsat checks           : 0
% 0.15/5.46  %    Propositional check models        : 0
% 0.15/5.46  %    Propositional check unsatisfiable : 0
% 0.15/5.46  %    Propositional clauses             : 0
% 0.15/5.46  %    Propositional clauses after purity: 0
% 0.15/5.46  %    Propositional unsat core size     : 0
% 0.15/5.46  %    Propositional preprocessing time  : 0.000
% 0.15/5.46  %    Propositional encoding time       : 0.000
% 0.15/5.46  %    Propositional solver time         : 0.000
% 0.15/5.46  %    Success case prop preproc time    : 0.000
% 0.15/5.46  %    Success case prop encoding time   : 0.000
% 0.15/5.46  %    Success case prop solver time     : 0.000
% 0.15/5.46  % Current number of processed clauses  : 10
% 0.15/5.46  %    Positive orientable unit clauses  : 6
% 0.15/5.46  %    Positive unorientable unit clauses: 0
% 0.15/5.46  %    Negative unit clauses             : 0
% 0.15/5.46  %    Non-unit-clauses                  : 4
% 0.15/5.46  % Current number of unprocessed clauses: 8
% 0.15/5.46  % ...number of literals in the above   : 29
% 0.15/5.46  % Current number of archived formulas  : 0
% 0.15/5.46  % Current number of archived clauses   : 32
% 0.15/5.46  % Clause-clause subsumption calls (NU) : 196
% 0.15/5.46  % Rec. Clause-clause subsumption calls : 66
% 0.15/5.46  % Non-unit clause-clause subsumptions  : 21
% 0.15/5.46  % Unit Clause-clause subsumption calls : 12
% 0.15/5.46  % Rewrite failures with RHS unbound    : 0
% 0.15/5.46  % BW rewrite match attempts            : 13
% 0.15/5.46  % BW rewrite match successes           : 8
% 0.15/5.46  % Condensation attempts                : 0
% 0.15/5.46  % Condensation successes               : 0
% 0.15/5.46  % Termbank termtop insertions          : 3309
% 0.15/5.46  % Search garbage collected termcells   : 102
% 0.15/5.46  
% 0.15/5.46  % -------------------------------------------------
% 0.15/5.46  % User time                : 0.005 s
% 0.15/5.46  % System time              : 0.005 s
% 0.15/5.46  % Total time               : 0.009 s
% 0.15/5.46  % Maximum resident set size: 3652 pages
% 0.15/5.46  
% 0.15/5.46  % -------------------------------------------------
% 0.15/5.46  % User time                : 0.025 s
% 0.15/5.46  % System time              : 0.015 s
% 0.15/5.46  % Total time               : 0.041 s
% 0.15/5.46  % Maximum resident set size: 4608 pages
% 0.15/5.46  % E exiting
%------------------------------------------------------------------------------