TSTP Solution File: GRP133-2.003 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:57:36 EDT 2024

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  107 (  29 unt;  28 nHn; 107 RR)
%            Number of literals    :  235 (   0 equ; 117 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   91 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(no_redundancy,axiom,
    ( ~ product(X1,e_1,X2)
    | ~ next(X1,X3)
    | ~ greater(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',no_redundancy) ).

cnf(product_total_function1,axiom,
    ( product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | ~ group_element(X1)
    | ~ group_element(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',product_total_function1) ).

cnf(e_3_greater_e_2,axiom,
    greater(e_3,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',e_3_greater_e_2) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',e_3_is_not_e_1) ).

cnf(product_right_cancellation,axiom,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',product_right_cancellation) ).

cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',element_1) ).

cnf(e_1_then_e_2,axiom,
    next(e_1,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',e_1_then_e_2) ).

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',e_2_is_not_e_1) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',e_3_is_not_e_2) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',element_3) ).

cnf(product_left_cancellation,axiom,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',product_left_cancellation) ).

cnf(element_2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',element_2) ).

cnf(qg3,negated_conjecture,
    ( product(X3,X4,X1)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',qg3) ).

cnf(product_total_function2,axiom,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p',product_total_function2) ).

cnf(c_0_14,plain,
    ( ~ product(X1,e_1,X2)
    | ~ next(X1,X3)
    | ~ greater(X2,X3) ),
    inference(fof_simplification,[status(thm)],[no_redundancy]) ).

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

cnf(c_0_16,plain,
    ( ~ product(X1,e_1,X2)
    | ~ next(X1,X3)
    | ~ greater(X2,X3) ),
    c_0_14 ).

cnf(c_0_17,axiom,
    greater(e_3,e_2),
    e_3_greater_e_2 ).

cnf(c_0_18,plain,
    ~ equalish(e_3,e_1),
    inference(fof_simplification,[status(thm)],[e_3_is_not_e_1]) ).

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

cnf(c_0_20,plain,
    ( product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | ~ group_element(X1)
    | ~ group_element(X2) ),
    c_0_15 ).

cnf(c_0_21,axiom,
    group_element(e_1),
    element_1 ).

cnf(c_0_22,plain,
    ( ~ product(X1,e_1,e_3)
    | ~ next(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,axiom,
    next(e_1,e_2),
    e_1_then_e_2 ).

cnf(c_0_24,plain,
    ~ equalish(e_2,e_1),
    inference(fof_simplification,[status(thm)],[e_2_is_not_e_1]) ).

cnf(c_0_25,plain,
    ~ equalish(e_3,e_1),
    c_0_18 ).

cnf(c_0_26,plain,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    c_0_19 ).

cnf(c_0_27,plain,
    ( product(X1,e_1,e_3)
    | product(X1,e_1,e_2)
    | product(X1,e_1,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,plain,
    ~ product(e_1,e_1,e_3),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    ~ equalish(e_3,e_2),
    inference(fof_simplification,[status(thm)],[e_3_is_not_e_2]) ).

cnf(c_0_30,axiom,
    group_element(e_3),
    element_3 ).

cnf(c_0_31,plain,
    ~ equalish(e_2,e_1),
    c_0_24 ).

cnf(c_0_32,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_28]) ).

cnf(c_0_34,plain,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).

cnf(c_0_35,plain,
    ~ equalish(e_3,e_2),
    c_0_29 ).

cnf(c_0_36,plain,
    ( product(X1,e_3,e_3)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_30]) ).

cnf(c_0_37,axiom,
    group_element(e_2),
    element_2 ).

cnf(c_0_38,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_26]) ).

cnf(c_0_39,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,plain,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    c_0_34 ).

cnf(c_0_41,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_26]) ).

cnf(c_0_42,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_21]) ).

cnf(c_0_43,plain,
    ( product(X1,e_2,e_3)
    | product(X1,e_2,e_2)
    | product(X1,e_2,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_37]) ).

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

cnf(c_0_45,negated_conjecture,
    ( product(X3,X4,X1)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X1,X4) ),
    inference(fof_simplification,[status(thm)],[qg3]) ).

cnf(c_0_46,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_40]) ).

cnf(c_0_47,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_21]) ).

cnf(c_0_49,plain,
    ( product(e_1,e_3,e_3)
    | ~ product(e_1,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_41]) ).

cnf(c_0_50,negated_conjecture,
    ( product(X3,X4,X1)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X1,X4) ),
    c_0_45 ).

cnf(c_0_51,plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_30]) ).

cnf(c_0_52,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_40]) ).

cnf(c_0_53,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_2,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_33]) ).

cnf(c_0_54,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_3,e_2)
    | product(X1,e_1,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,plain,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    inference(fof_simplification,[status(thm)],[product_total_function2]) ).

cnf(c_0_57,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_40]) ).

cnf(c_0_58,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_30]) ).

cnf(c_0_59,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ product(e_2,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_33]) ).

cnf(c_0_61,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_28]) ).

cnf(c_0_63,plain,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    c_0_56 ).

cnf(c_0_64,plain,
    ( product(e_3,e_1,e_3)
    | ~ product(e_2,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_65,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_63]) ).

cnf(c_0_68,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_63]) ).

cnf(c_0_69,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_64]) ).

cnf(c_0_70,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | ~ product(e_1,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_66]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | ~ product(e_2,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_62]) ).

cnf(c_0_73,negated_conjecture,
    ( product(e_1,e_2,e_3)
    | product(e_3,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_48]),c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ product(e_2,e_3,e_2)
    | ~ product(e_2,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_72]) ).

cnf(c_0_75,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_37]) ).

cnf(c_0_76,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_33]) ).

cnf(c_0_77,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_73]) ).

cnf(c_0_78,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_32]) ).

cnf(c_0_79,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_76]) ).

cnf(c_0_80,plain,
    ( 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_36,c_0_37]) ).

cnf(c_0_81,negated_conjecture,
    ~ product(e_2,e_3,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_57]) ).

cnf(c_0_82,plain,
    ( product(e_3,e_1,e_3)
    | ~ product(e_2,e_1,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_58]),c_0_57]) ).

cnf(c_0_83,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_75]) ).

cnf(c_0_84,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_82]) ).

cnf(c_0_86,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | ~ product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_62]) ).

cnf(c_0_88,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | ~ product(e_2,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_62]) ).

cnf(c_0_89,negated_conjecture,
    product(e_3,e_3,e_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_86]),c_0_87]),c_0_88]) ).

cnf(c_0_90,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_89]) ).

cnf(c_0_91,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_60]) ).

cnf(c_0_92,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_2,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_86]),c_0_41]) ).

cnf(c_0_93,negated_conjecture,
    product(e_2,e_2,e_3),
    inference(spm,[status(thm)],[c_0_90,c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    ( product(X1,e_3,e_1)
    | ~ product(e_2,e_1,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_64]) ).

cnf(c_0_95,negated_conjecture,
    ( product(X1,e_3,e_1)
    | ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_82]) ).

cnf(c_0_96,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | ~ product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_48]) ).

cnf(c_0_97,plain,
    product(e_2,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).

cnf(c_0_98,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(X1,e_3,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_75]),c_0_95]) ).

cnf(c_0_99,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).

cnf(c_0_100,plain,
    product(e_3,e_1,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_97])]) ).

cnf(c_0_101,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_2,e_1,e_3)
    | ~ product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_98,c_0_49]) ).

cnf(c_0_102,plain,
    product(e_1,e_2,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_99]),c_0_93])]) ).

cnf(c_0_103,plain,
    ~ product(e_2,e_1,e_3),
    inference(spm,[status(thm)],[c_0_57,c_0_100]) ).

cnf(c_0_104,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_63]) ).

cnf(c_0_105,negated_conjecture,
    product(e_3,e_3,e_1),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]),c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_89])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n020.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   : Fri May  3 16:00:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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/tmp/tmp.NOcii8Xrgb/E---3.1_5321.p
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # sh5l with pid 5401 completed with status 0
% 0.21/0.51  # Result found by sh5l
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.21/0.51  # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 5409 completed with status 0
% 0.21/0.51  # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.001 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                        : 20
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 20
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 20
% 0.21/0.51  # Processed clauses                    : 260
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 55
% 0.21/0.51  # ...remaining for further processing  : 205
% 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                    : 59
% 0.21/0.51  # Backward-rewritten                   : 45
% 0.21/0.51  # Generated clauses                    : 377
% 0.21/0.51  # ...of the previous two non-redundant : 351
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 19
% 0.21/0.51  # Paramodulations                      : 372
% 0.21/0.51  # Factorizations                       : 0
% 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                  : 50
% 0.21/0.51  # ...of those cached                   : 44
% 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  : 76
% 0.21/0.51  #    Positive orientable unit clauses  : 14
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 17
% 0.21/0.51  #    Non-unit-clauses                  : 45
% 0.21/0.51  # Current number of unprocessed clauses: 94
% 0.21/0.51  # ...number of literals in the above   : 330
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 129
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 2663
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 2393
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 85
% 0.21/0.51  # Unit Clause-clause subsumption calls : 237
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 23
% 0.21/0.51  # BW rewrite match successes           : 6
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 4792
% 0.21/0.51  # Search garbage collected termcells   : 44
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.014 s
% 0.21/0.51  # System time              : 0.003 s
% 0.21/0.51  # Total time               : 0.017 s
% 0.21/0.51  # Maximum resident set size: 1596 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.017 s
% 0.21/0.51  # System time              : 0.004 s
% 0.21/0.51  # Total time               : 0.020 s
% 0.21/0.51  # Maximum resident set size: 1700 pages
% 0.21/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------