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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP124-7.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 12:38:00 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.45s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   20
% Syntax   : Number of clauses     :  100 (  36 unt;  28 nHn;  96 RR)
%            Number of literals    :  242 (   0 equ; 107 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  119 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(product2_right_cancellation,axiom,
    ( ~ product2(X1,X4,X3)
    | ~ product2(X1,X2,X3)
    | equalish(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_right_cancellation) ).

cnf(product1_total_function1,axiom,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product1(X1,X2,e_4)
    | product1(X1,X2,e_3)
    | product1(X1,X2,e_2)
    | product1(X1,X2,e_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).

cnf(qg2a,negated_conjecture,
    ( ~ product1(X3,X1,X4)
    | ~ product1(X1,X2,X3)
    | product2(X4,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2a) ).

cnf(product2_left_cancellation,axiom,
    ( ~ product2(X4,X2,X3)
    | ~ product2(X1,X2,X3)
    | equalish(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_left_cancellation) ).

cnf(product2_idempotence,axiom,
    product2(X1,X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).

cnf(product2_total_function1,axiom,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product2(X1,X2,e_4)
    | product2(X1,X2,e_3)
    | product2(X1,X2,e_2)
    | product2(X1,X2,e_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function1) ).

cnf(product1_left_cancellation,axiom,
    ( ~ product1(X4,X2,X3)
    | ~ product1(X1,X2,X3)
    | equalish(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).

cnf(element_4,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).

cnf(product2_total_function2,axiom,
    ( ~ product2(X1,X2,X4)
    | ~ product2(X1,X2,X3)
    | equalish(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).

cnf(product1_idempotence,axiom,
    product1(X1,X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).

cnf(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

cnf(e_1_is_not_e_4,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

cnf(product1_right_cancellation,axiom,
    ( ~ product1(X1,X4,X3)
    | ~ product1(X1,X2,X3)
    | equalish(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).

cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

cnf(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

cnf(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

cnf(e_4_is_not_e_3,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

cnf(c_0_20,plain,
    ( ~ product2(X1,X4,X3)
    | ~ product2(X1,X2,X3)
    | equalish(X2,X4) ),
    inference(fof_simplification,[status(thm)],[product2_right_cancellation]) ).

cnf(c_0_21,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product1(X1,X2,e_4)
    | product1(X1,X2,e_3)
    | product1(X1,X2,e_2)
    | product1(X1,X2,e_1) ),
    inference(fof_simplification,[status(thm)],[product1_total_function1]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ product1(X3,X1,X4)
    | ~ product1(X1,X2,X3)
    | product2(X4,X2,X1) ),
    inference(fof_simplification,[status(thm)],[qg2a]) ).

cnf(c_0_23,plain,
    ( ~ product2(X4,X2,X3)
    | ~ product2(X1,X2,X3)
    | equalish(X1,X4) ),
    inference(fof_simplification,[status(thm)],[product2_left_cancellation]) ).

cnf(c_0_24,plain,
    ( ~ product2(X1,X4,X3)
    | ~ product2(X1,X2,X3)
    | equalish(X2,X4) ),
    c_0_20 ).

cnf(c_0_25,axiom,
    product2(X1,X1,X1),
    product2_idempotence ).

cnf(c_0_26,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product2(X1,X2,e_4)
    | product2(X1,X2,e_3)
    | product2(X1,X2,e_2)
    | product2(X1,X2,e_1) ),
    inference(fof_simplification,[status(thm)],[product2_total_function1]) ).

cnf(c_0_27,plain,
    ( ~ product1(X4,X2,X3)
    | ~ product1(X1,X2,X3)
    | equalish(X1,X4) ),
    inference(fof_simplification,[status(thm)],[product1_left_cancellation]) ).

cnf(c_0_28,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product1(X1,X2,e_4)
    | product1(X1,X2,e_3)
    | product1(X1,X2,e_2)
    | product1(X1,X2,e_1) ),
    c_0_21 ).

cnf(c_0_29,axiom,
    group_element(e_4),
    element_4 ).

cnf(c_0_30,plain,
    ( ~ product2(X1,X2,X4)
    | ~ product2(X1,X2,X3)
    | equalish(X3,X4) ),
    inference(fof_simplification,[status(thm)],[product2_total_function2]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ product1(X3,X1,X4)
    | ~ product1(X1,X2,X3)
    | product2(X4,X2,X1) ),
    c_0_22 ).

cnf(c_0_32,axiom,
    product1(X1,X1,X1),
    product1_idempotence ).

cnf(c_0_33,plain,
    ( ~ product2(X4,X2,X3)
    | ~ product2(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_23 ).

cnf(c_0_34,plain,
    ( ~ product2(X2,X1,X2)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_35,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product2(X1,X2,e_4)
    | product2(X1,X2,e_3)
    | product2(X1,X2,e_2)
    | product2(X1,X2,e_1) ),
    c_0_26 ).

cnf(c_0_36,plain,
    ~ equalish(e_4,e_1),
    inference(fof_simplification,[status(thm)],[e_4_is_not_e_1]) ).

cnf(c_0_37,plain,
    ~ equalish(e_1,e_4),
    inference(fof_simplification,[status(thm)],[e_1_is_not_e_4]) ).

cnf(c_0_38,plain,
    ( ~ product1(X1,X4,X3)
    | ~ product1(X1,X2,X3)
    | equalish(X2,X4) ),
    inference(fof_simplification,[status(thm)],[product1_right_cancellation]) ).

cnf(c_0_39,plain,
    ( ~ product1(X4,X2,X3)
    | ~ product1(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_27 ).

cnf(c_0_40,plain,
    ( ~ group_element(X1)
    | product1(X1,e_4,e_4)
    | product1(X1,e_4,e_3)
    | product1(X1,e_4,e_2)
    | product1(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_41,axiom,
    group_element(e_1),
    element_1 ).

cnf(c_0_42,plain,
    ( ~ product2(X1,X2,X4)
    | ~ product2(X1,X2,X3)
    | equalish(X3,X4) ),
    c_0_30 ).

cnf(c_0_43,negated_conjecture,
    ( ~ product1(X1,X2,X1)
    | product2(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_44,plain,
    ( ~ product2(X1,X2,X2)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_25]) ).

cnf(c_0_45,plain,
    ( ~ group_element(X1)
    | equalish(X1,e_4)
    | product2(e_4,X1,e_3)
    | product2(e_4,X1,e_2)
    | product2(e_4,X1,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_29])]) ).

cnf(c_0_46,plain,
    ~ equalish(e_4,e_1),
    c_0_36 ).

cnf(c_0_47,plain,
    ~ equalish(e_1,e_4),
    c_0_37 ).

cnf(c_0_48,plain,
    ~ equalish(e_3,e_4),
    inference(fof_simplification,[status(thm)],[e_3_is_not_e_4]) ).

cnf(c_0_49,plain,
    ( ~ product1(X1,X4,X3)
    | ~ product1(X1,X2,X3)
    | equalish(X2,X4) ),
    c_0_38 ).

cnf(c_0_50,plain,
    ( ~ product1(X1,X2,X2)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_32]) ).

cnf(c_0_51,plain,
    ( product1(e_1,e_4,e_1)
    | product1(e_1,e_4,e_2)
    | product1(e_1,e_4,e_3)
    | product1(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ product1(X2,X3,X2)
    | ~ product2(X2,X3,X1)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_53,plain,
    ( product2(e_4,e_1,e_2)
    | product2(e_4,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_41])]),c_0_46]),c_0_47]) ).

cnf(c_0_54,plain,
    ~ equalish(e_3,e_4),
    c_0_48 ).

cnf(c_0_55,plain,
    ~ equalish(e_2,e_4),
    inference(fof_simplification,[status(thm)],[e_2_is_not_e_4]) ).

cnf(c_0_56,plain,
    ( ~ product1(X2,X1,X2)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_32]) ).

cnf(c_0_57,plain,
    ( product1(e_1,e_4,e_3)
    | product1(e_1,e_4,e_2)
    | product1(e_1,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_47]) ).

cnf(c_0_58,axiom,
    group_element(e_3),
    element_3 ).

cnf(c_0_59,negated_conjecture,
    ( ~ product1(e_4,e_1,e_4)
    | product2(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

cnf(c_0_60,plain,
    ~ equalish(e_2,e_4),
    c_0_55 ).

cnf(c_0_61,plain,
    ( product1(e_1,e_4,e_2)
    | product1(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_46]) ).

cnf(c_0_62,plain,
    ~ equalish(e_4,e_3),
    inference(fof_simplification,[status(thm)],[e_4_is_not_e_3]) ).

cnf(c_0_63,plain,
    ( ~ group_element(X1)
    | product1(X1,e_3,e_4)
    | product1(X1,e_3,e_3)
    | product1(X1,e_3,e_2)
    | product1(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_58]) ).

cnf(c_0_64,plain,
    ( ~ group_element(X1)
    | product1(X1,e_1,e_4)
    | product1(X1,e_1,e_3)
    | product1(X1,e_1,e_2)
    | product1(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_41]) ).

cnf(c_0_65,negated_conjecture,
    ~ product1(e_4,e_1,e_4),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_59]),c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ product1(e_4,X1,e_1)
    | product1(e_1,e_4,e_2)
    | product2(e_3,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_31,c_0_61]) ).

cnf(c_0_67,plain,
    ~ equalish(e_4,e_3),
    c_0_62 ).

cnf(c_0_68,plain,
    ( product1(e_4,e_3,e_1)
    | product1(e_4,e_3,e_2)
    | product1(e_4,e_3,e_3)
    | product1(e_4,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_63,c_0_29]) ).

cnf(c_0_69,plain,
    ( product1(e_4,e_1,e_1)
    | product1(e_4,e_1,e_2)
    | product1(e_4,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_29]),c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ product1(e_4,X1,e_1)
    | ~ product1(e_3,X1,e_3)
    | product1(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_66]),c_0_67]) ).

cnf(c_0_71,plain,
    ( product1(e_4,e_3,e_3)
    | product1(e_4,e_3,e_2)
    | product1(e_4,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_68]),c_0_54]) ).

cnf(c_0_72,plain,
    ( product1(e_4,e_1,e_3)
    | product1(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_69]),c_0_46]) ).

cnf(c_0_73,plain,
    ~ equalish(e_1,e_3),
    inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).

cnf(c_0_74,negated_conjecture,
    ( product1(e_1,e_4,e_2)
    | product1(e_4,e_3,e_2)
    | product1(e_4,e_3,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_32])]) ).

cnf(c_0_75,plain,
    ( ~ product2(X2,X2,X1)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_25]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ product1(e_1,X1,e_4)
    | product1(e_4,e_1,e_2)
    | product2(e_3,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_72]) ).

cnf(c_0_77,plain,
    ~ equalish(e_1,e_3),
    c_0_73 ).

cnf(c_0_78,negated_conjecture,
    ( product1(e_4,e_3,e_2)
    | product1(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_74]),c_0_67]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ product1(e_1,e_3,e_4)
    | product1(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ product1(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product1(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ product1(e_1,X1,e_4)
    | ~ product1(e_1,e_3,e_4)
    | product2(e_2,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ product1(e_1,e_3,e_4)
    | product1(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_79]),c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ product1(e_1,X2,e_4)
    | ~ product1(e_1,e_3,e_4)
    | ~ product2(e_2,X2,X1)
    | equalish(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_81]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ product1(e_4,X1,e_1)
    | ~ product1(e_1,e_3,e_4)
    | product2(e_2,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_31,c_0_82]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ product1(e_4,X1,e_1)
    | ~ product1(e_1,X1,e_4)
    | ~ product1(e_1,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_46]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ product1(e_1,e_3,e_4)
    | product1(e_4,e_3,e_2)
    | product1(e_4,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_85,c_0_71]) ).

cnf(c_0_87,plain,
    ~ equalish(e_3,e_1),
    inference(fof_simplification,[status(thm)],[e_3_is_not_e_1]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ product1(e_4,X1,e_2)
    | ~ product1(e_1,e_3,e_4)
    | equalish(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_79]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ product1(e_1,e_3,e_4)
    | product1(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_86]),c_0_67]) ).

cnf(c_0_90,plain,
    ~ equalish(e_3,e_1),
    c_0_87 ).

cnf(c_0_91,plain,
    ( product1(e_1,e_3,e_1)
    | product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_3)
    | product1(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_63,c_0_41]) ).

cnf(c_0_92,negated_conjecture,
    ~ product1(e_1,e_3,e_4),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_93,plain,
    ( product1(e_1,e_3,e_3)
    | product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_1) ),
    inference(sr,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_94,plain,
    ( product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_93]),c_0_90]) ).

cnf(c_0_95,plain,
    product1(e_1,e_3,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_94]),c_0_77]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ product1(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product1(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_78]) ).

cnf(c_0_97,plain,
    ( ~ product1(e_1,X1,e_2)
    | equalish(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    product1(e_1,e_4,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_95]),c_0_47]) ).

cnf(c_0_99,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP124-7.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n026.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 20:01:52 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 0.12/0.45  % Version: 3.5.1
% 0.12/0.45  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45  % Starting sh5l with 300s (1) cores
% 0.12/0.45  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 471753 completed with status 0
% 0.12/0.45  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.45  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45  % No SInE strategy applied
% 0.12/0.45  % Search class: FGHNS-FFMM00-SFFFFFNN
% 0.12/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.12/0.45  % Starting new_bool_3 with 136s (1) cores
% 0.12/0.45  % Starting new_bool_1 with 136s (1) cores
% 0.12/0.45  % SubtermCWHack with pid 471757 completed with status 0
% 0.12/0.45  % Result found by SubtermCWHack
% 0.12/0.45  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45  % No SInE strategy applied
% 0.12/0.45  % Search class: FGHNS-FFMM00-SFFFFFNN
% 0.12/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45  % Preprocessing time       : 0.001 s
% 0.12/0.45  
% 0.12/0.45  % Proof found!
% 0.12/0.45  % SZS status Unsatisfiable
% 0.12/0.45  % SZS output start CNFRefutation
% See solution above
% 0.12/0.45  % Parsed axioms                        : 37
% 0.12/0.45  % Removed by relevancy pruning/SinE    : 0
% 0.12/0.45  % Initial clauses                      : 37
% 0.12/0.45  % Removed in clause preprocessing      : 0
% 0.12/0.45  % Initial clauses in saturation        : 37
% 0.12/0.45  % Processed clauses                    : 394
% 0.12/0.45  % ...of these trivial                  : 0
% 0.12/0.45  % ...subsumed                          : 126
% 0.12/0.45  % ...remaining for further processing  : 268
% 0.12/0.45  % Other redundant clauses eliminated   : 0
% 0.12/0.45  % Clauses deleted for lack of memory   : 0
% 0.12/0.45  % Backward-subsumed                    : 89
% 0.12/0.45  % Backward-rewritten                   : 34
% 0.12/0.45  % Generated clauses                    : 978
% 0.12/0.45  % ...of the previous two non-redundant : 718
% 0.12/0.45  % ...aggressively subsumed             : 0
% 0.12/0.45  % Contextual simplify-reflections      : 0
% 0.12/0.45  % Paramodulations                      : 976
% 0.12/0.45  % Factorizations                       : 0
% 0.12/0.45  % NegExts                              : 0
% 0.12/0.45  % Equation resolutions                 : 0
% 0.12/0.45  % Disequality decompositions           : 0
% 0.12/0.45  % Total rewrite steps                  : 448
% 0.12/0.45  % ...of those cached                   : 430
% 0.12/0.45  % Propositional unsat checks           : 0
% 0.12/0.45  %    Propositional check models        : 0
% 0.12/0.45  %    Propositional check unsatisfiable : 0
% 0.12/0.45  %    Propositional clauses             : 0
% 0.12/0.45  %    Propositional clauses after purity: 0
% 0.12/0.45  %    Propositional unsat core size     : 0
% 0.12/0.45  %    Propositional preprocessing time  : 0.000
% 0.12/0.45  %    Propositional encoding time       : 0.000
% 0.12/0.45  %    Propositional solver time         : 0.000
% 0.12/0.45  %    Success case prop preproc time    : 0.000
% 0.12/0.45  %    Success case prop encoding time   : 0.000
% 0.12/0.45  %    Success case prop solver time     : 0.000
% 0.12/0.45  % Current number of processed clauses  : 143
% 0.12/0.45  %    Positive orientable unit clauses  : 18
% 0.12/0.45  %    Positive unorientable unit clauses: 0
% 0.12/0.45  %    Negative unit clauses             : 18
% 0.12/0.45  %    Non-unit-clauses                  : 107
% 0.12/0.45  % Current number of unprocessed clauses: 307
% 0.12/0.45  % ...number of literals in the above   : 1580
% 0.12/0.45  % Current number of archived formulas  : 0
% 0.12/0.45  % Current number of archived clauses   : 125
% 0.12/0.45  % Clause-clause subsumption calls (NU) : 7306
% 0.12/0.45  % Rec. Clause-clause subsumption calls : 3844
% 0.12/0.45  % Non-unit clause-clause subsumptions  : 127
% 0.12/0.45  % Unit Clause-clause subsumption calls : 502
% 0.12/0.45  % Rewrite failures with RHS unbound    : 0
% 0.12/0.45  % BW rewrite match attempts            : 20
% 0.12/0.45  % BW rewrite match successes           : 2
% 0.12/0.45  % Condensation attempts                : 0
% 0.12/0.45  % Condensation successes               : 0
% 0.12/0.45  % Termbank termtop insertions          : 16560
% 0.12/0.45  % Search garbage collected termcells   : 72
% 0.12/0.45  
% 0.12/0.45  % -------------------------------------------------
% 0.12/0.45  % User time                : 0.017 s
% 0.12/0.45  % System time              : 0.005 s
% 0.12/0.45  % Total time               : 0.022 s
% 0.12/0.45  % Maximum resident set size: 3652 pages
% 0.12/0.45  
% 0.12/0.45  % -------------------------------------------------
% 0.12/0.45  % User time                : 0.049 s
% 0.12/0.45  % System time              : 0.014 s
% 0.12/0.45  % Total time               : 0.064 s
% 0.12/0.45  % Maximum resident set size: 4864 pages
% 0.12/0.45  % E exiting
%------------------------------------------------------------------------------