↑ Up

E---3.5.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP127-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 12:38:14 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.55s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   95 (  34 unt;  49 nHn;  93 RR)
%            Number of literals    :  259 (   0 equ;  62 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   63 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

cnf(product_left_cancellation,axiom,
    ( ~ product(X4,X2,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

cnf(element_4,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).

cnf(product_right_cancellation,axiom,
    ( ~ product(X1,X4,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

cnf(product_idempotence,axiom,
    product(X1,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).

cnf(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

cnf(element_2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

cnf(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

cnf(e_4_is_not_e_3,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

cnf(qg3,negated_conjecture,
    ( ~ product(X3,X1,X4)
    | ~ product(X1,X2,X3)
    | product(X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).

cnf(e_4_is_not_e_2,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

cnf(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(c_0_15,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1) ),
    inference(fof_simplification,[status(thm)],[product_total_function1]) ).

cnf(c_0_16,plain,
    ( ~ product(X4,X2,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).

cnf(c_0_17,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1) ),
    c_0_15 ).

cnf(c_0_18,axiom,
    group_element(e_4),
    element_4 ).

cnf(c_0_19,plain,
    ( ~ product(X1,X4,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X4) ),
    inference(fof_simplification,[status(thm)],[product_right_cancellation]) ).

cnf(c_0_20,axiom,
    group_element(e_3),
    element_3 ).

cnf(c_0_21,plain,
    ( ~ product(X4,X2,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_16 ).

cnf(c_0_22,axiom,
    product(X1,X1,X1),
    product_idempotence ).

cnf(c_0_23,plain,
    ( ~ group_element(X1)
    | product(X1,e_4,e_1)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,plain,
    ~ equalish(e_3,e_4),
    inference(fof_simplification,[status(thm)],[e_3_is_not_e_4]) ).

cnf(c_0_25,axiom,
    group_element(e_2),
    element_2 ).

cnf(c_0_26,plain,
    ~ equalish(e_2,e_4),
    inference(fof_simplification,[status(thm)],[e_2_is_not_e_4]) ).

cnf(c_0_27,plain,
    ( ~ product(X1,X4,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X4) ),
    c_0_19 ).

cnf(c_0_28,plain,
    ( ~ group_element(X1)
    | product(X1,e_3,e_1)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_3)
    | product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_20]) ).

cnf(c_0_29,plain,
    ( ~ product(X1,X2,X2)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,plain,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_20]) ).

cnf(c_0_31,plain,
    ~ equalish(e_3,e_4),
    c_0_24 ).

cnf(c_0_32,plain,
    ~ equalish(e_4,e_3),
    inference(fof_simplification,[status(thm)],[e_4_is_not_e_3]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ product(X3,X1,X4)
    | ~ product(X1,X2,X3)
    | product(X4,X1,X2) ),
    inference(fof_simplification,[status(thm)],[qg3]) ).

cnf(c_0_34,plain,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_35,plain,
    ~ equalish(e_2,e_4),
    c_0_26 ).

cnf(c_0_36,plain,
    ( ~ product(X2,X1,X2)
    | equalish(X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_22]) ).

cnf(c_0_37,plain,
    ( product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_18]) ).

cnf(c_0_38,plain,
    ( product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_39,plain,
    ~ equalish(e_4,e_3),
    c_0_32 ).

cnf(c_0_40,plain,
    ( ~ group_element(X1)
    | product(X1,e_2,e_1)
    | product(X1,e_2,e_2)
    | product(X1,e_2,e_3)
    | product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_25]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ product(X3,X1,X4)
    | ~ product(X1,X2,X3)
    | product(X4,X1,X2) ),
    c_0_33 ).

cnf(c_0_42,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_35]) ).

cnf(c_0_43,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_31]) ).

cnf(c_0_44,plain,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_38]),c_0_39]) ).

cnf(c_0_45,plain,
    ( product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_18]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | product(e_3,e_4,X1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_43]),c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | product(e_2,e_4,X1)
    | product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_44]) ).

cnf(c_0_49,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_45]),c_0_35]) ).

cnf(c_0_50,plain,
    ~ equalish(e_4,e_2),
    inference(fof_simplification,[status(thm)],[e_4_is_not_e_2]) ).

cnf(c_0_51,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( product(e_3,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    ~ equalish(e_4,e_2),
    c_0_50 ).

cnf(c_0_54,plain,
    ~ equalish(e_2,e_3),
    inference(fof_simplification,[status(thm)],[e_2_is_not_e_3]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_52]),c_0_53]) ).

cnf(c_0_57,plain,
    ~ equalish(e_2,e_3),
    c_0_54 ).

cnf(c_0_58,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_59,negated_conjecture,
    ( product(e_3,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_58]),c_0_39]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | product(e_1,e_4,X1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_59]) ).

cnf(c_0_61,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_49]) ).

cnf(c_0_62,negated_conjecture,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_61]),c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_62]),c_0_57]) ).

cnf(c_0_64,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_65,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_63]),c_0_39]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | product(e_4,e_3,X1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_65]),c_0_53]) ).

cnf(c_0_68,negated_conjecture,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_44]) ).

cnf(c_0_69,plain,
    ~ equalish(e_3,e_2),
    inference(fof_simplification,[status(thm)],[e_3_is_not_e_2]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( product(e_3,e_4,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_68]),c_0_31]) ).

cnf(c_0_72,plain,
    ~ equalish(e_3,e_2),
    c_0_69 ).

cnf(c_0_73,negated_conjecture,
    ( ~ product(e_2,X1,e_4)
    | product(e_3,e_2,X1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_49]) ).

cnf(c_0_74,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_73,c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ product(e_4,X1,e_1)
    | product(e_2,e_4,X1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_3)
    | product(e_4,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_75]),c_0_53]) ).

cnf(c_0_78,negated_conjecture,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_4,e_2)
    | product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_78]),c_0_53]) ).

cnf(c_0_80,negated_conjecture,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_79]),c_0_57]) ).

cnf(c_0_81,negated_conjecture,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_80]),c_0_57]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ product(e_2,X1,e_1)
    | equalish(X1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_67]) ).

cnf(c_0_83,negated_conjecture,
    product(e_2,e_3,e_1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_81]),c_0_72]) ).

cnf(c_0_84,plain,
    ~ equalish(e_1,e_3),
    inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_51]) ).

cnf(c_0_86,plain,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_44]) ).

cnf(c_0_87,negated_conjecture,
    product(e_1,e_4,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_31]) ).

cnf(c_0_88,plain,
    ~ equalish(e_1,e_3),
    c_0_84 ).

cnf(c_0_89,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_3,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_35]) ).

cnf(c_0_90,negated_conjecture,
    product(e_3,e_4,e_1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_89]),c_0_39]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    product(e_2,e_4,e_1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_91]),c_0_53]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP127-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n013.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 19:59:36 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44  Running first-order theorem proving
% 0.14/0.44  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.55  % Version: 3.5.1
% 0.14/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.55  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.55  % Starting sh5l with 300s (1) cores
% 0.14/0.55  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3284844 completed with status 0
% 0.14/0.55  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.55  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.55  % No SInE strategy applied
% 0.14/0.55  % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.14/0.55  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.55  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.55  % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 0.14/0.55  % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.14/0.55  % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.55  % G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3284852 completed with status 0
% 0.14/0.55  % Result found by G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.55  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.55  % No SInE strategy applied
% 0.14/0.55  % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.14/0.55  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.55  % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.55  % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 0.14/0.55  % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.14/0.55  % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.55  % Preprocessing time       : 0.001 s
% 0.14/0.55  % Presaturation interreduction done
% 0.14/0.55  
% 0.14/0.55  % Proof found!
% 0.14/0.55  % SZS status Unsatisfiable
% 0.14/0.55  % SZS output start CNFRefutation
% See solution above
% 0.14/0.55  % Parsed axioms                        : 43
% 0.14/0.55  % Removed by relevancy pruning/SinE    : 0
% 0.14/0.55  % Initial clauses                      : 43
% 0.14/0.55  % Removed in clause preprocessing      : 0
% 0.14/0.55  % Initial clauses in saturation        : 43
% 0.14/0.55  % Processed clauses                    : 508
% 0.14/0.55  % ...of these trivial                  : 0
% 0.14/0.55  % ...subsumed                          : 110
% 0.14/0.55  % ...remaining for further processing  : 398
% 0.14/0.55  % Other redundant clauses eliminated   : 0
% 0.14/0.55  % Clauses deleted for lack of memory   : 0
% 0.14/0.55  % Backward-subsumed                    : 133
% 0.14/0.55  % Backward-rewritten                   : 52
% 0.14/0.55  % Generated clauses                    : 1538
% 0.14/0.55  % ...of the previous two non-redundant : 1053
% 0.14/0.55  % ...aggressively subsumed             : 0
% 0.14/0.55  % Contextual simplify-reflections      : 0
% 0.14/0.55  % Paramodulations                      : 1538
% 0.14/0.55  % Factorizations                       : 0
% 0.14/0.55  % NegExts                              : 0
% 0.14/0.55  % Equation resolutions                 : 0
% 0.14/0.55  % Disequality decompositions           : 0
% 0.14/0.55  % Total rewrite steps                  : 554
% 0.14/0.55  % ...of those cached                   : 535
% 0.14/0.55  % Propositional unsat checks           : 0
% 0.14/0.55  %    Propositional check models        : 0
% 0.14/0.55  %    Propositional check unsatisfiable : 0
% 0.14/0.55  %    Propositional clauses             : 0
% 0.14/0.55  %    Propositional clauses after purity: 0
% 0.14/0.55  %    Propositional unsat core size     : 0
% 0.14/0.55  %    Propositional preprocessing time  : 0.000
% 0.14/0.55  %    Propositional encoding time       : 0.000
% 0.14/0.55  %    Propositional solver time         : 0.000
% 0.14/0.55  %    Success case prop preproc time    : 0.000
% 0.14/0.55  %    Success case prop encoding time   : 0.000
% 0.14/0.55  %    Success case prop solver time     : 0.000
% 0.14/0.55  % Current number of processed clauses  : 170
% 0.14/0.55  %    Positive orientable unit clauses  : 25
% 0.14/0.55  %    Positive unorientable unit clauses: 0
% 0.14/0.55  %    Negative unit clauses             : 12
% 0.14/0.55  %    Non-unit-clauses                  : 133
% 0.14/0.55  % Current number of unprocessed clauses: 420
% 0.14/0.55  % ...number of literals in the above   : 2788
% 0.14/0.55  % Current number of archived formulas  : 0
% 0.14/0.55  % Current number of archived clauses   : 228
% 0.14/0.55  % Clause-clause subsumption calls (NU) : 21654
% 0.14/0.55  % Rec. Clause-clause subsumption calls : 3611
% 0.14/0.55  % Non-unit clause-clause subsumptions  : 237
% 0.14/0.55  % Unit Clause-clause subsumption calls : 504
% 0.14/0.55  % Rewrite failures with RHS unbound    : 0
% 0.14/0.55  % BW rewrite match attempts            : 29
% 0.14/0.55  % BW rewrite match successes           : 5
% 0.14/0.55  % Condensation attempts                : 0
% 0.14/0.55  % Condensation successes               : 0
% 0.14/0.55  % Termbank termtop insertions          : 29955
% 0.14/0.55  % Search garbage collected termcells   : 98
% 0.14/0.55  
% 0.14/0.55  % -------------------------------------------------
% 0.14/0.55  % User time                : 0.062 s
% 0.14/0.55  % System time              : 0.004 s
% 0.14/0.55  % Total time               : 0.066 s
% 0.14/0.55  % Maximum resident set size: 3656 pages
% 0.14/0.55  
% 0.14/0.55  % -------------------------------------------------
% 0.14/0.55  % User time                : 0.223 s
% 0.14/0.55  % System time              : 0.022 s
% 0.14/0.55  % Total time               : 0.245 s
% 0.14/0.55  % Maximum resident set size: 4608 pages
% 0.14/0.55  % E exiting
%------------------------------------------------------------------------------