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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP127-1.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:24:01 PM UTC 2026

% Result   : Unsatisfiable 1.34s 1.74s
% Output   : CNFRefutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   99 (  35 unt;  55 nHn;  97 RR)
%            Number of literals    :  263 (   0 equ;  56 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   :   50 (   0 sgn)

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

cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

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

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

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

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

cnf(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

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

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

cnf(e_1_is_not_e_4,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

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

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_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(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(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(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_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_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(c_0_20,axiom,
    ( product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | product(X1,X2,e_4)
    | ~ group_element(X1)
    | ~ group_element(X2) ),
    product_total_function1 ).

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

cnf(c_0_22,axiom,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    product_left_cancellation ).

cnf(c_0_23,axiom,
    product(X1,X1,X1),
    product_idempotence ).

cnf(c_0_24,plain,
    ( product(X1,e_1,e_4)
    | 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_25,axiom,
    group_element(e_4),
    element_4 ).

cnf(c_0_26,axiom,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    product_right_cancellation ).

cnf(c_0_27,plain,
    ( equalish(X1,X2)
    | ~ product(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,axiom,
    ~ equalish(e_4,e_1),
    e_4_is_not_e_1 ).

cnf(c_0_30,axiom,
    group_element(e_2),
    element_2 ).

cnf(c_0_31,axiom,
    group_element(e_3),
    element_3 ).

cnf(c_0_32,plain,
    ( equalish(X1,X2)
    | ~ product(X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_33,plain,
    ( product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_34,axiom,
    ~ equalish(e_1,e_4),
    e_1_is_not_e_4 ).

cnf(c_0_35,plain,
    ( product(X1,e_2,e_4)
    | 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_30]) ).

cnf(c_0_36,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_24,c_0_31]) ).

cnf(c_0_37,axiom,
    ~ equalish(e_3,e_1),
    e_3_is_not_e_1 ).

cnf(c_0_38,negated_conjecture,
    ( product(X4,X1,X2)
    | ~ product(X1,X2,X3)
    | ~ product(X3,X1,X4) ),
    qg3 ).

cnf(c_0_39,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_40,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_21]) ).

cnf(c_0_41,axiom,
    ~ equalish(e_2,e_1),
    e_2_is_not_e_1 ).

cnf(c_0_42,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36]),c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_3,e_1,X1)
    | ~ product(e_1,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_40]),c_0_41]) ).

cnf(c_0_45,plain,
    ( product(X1,e_4,e_4)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_25]) ).

cnf(c_0_46,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,X1)
    | ~ product(e_1,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_45,c_0_21]) ).

cnf(c_0_49,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,axiom,
    ~ equalish(e_1,e_2),
    e_1_is_not_e_2 ).

cnf(c_0_51,plain,
    ( product(X1,e_3,e_4)
    | 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_31]) ).

cnf(c_0_52,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_29]) ).

cnf(c_0_53,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_49]),c_0_50]) ).

cnf(c_0_54,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_51,c_0_21]) ).

cnf(c_0_55,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_52]),c_0_34]) ).

cnf(c_0_56,negated_conjecture,
    ( product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_2,e_1,X1)
    | ~ product(e_1,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_38,c_0_53]) ).

cnf(c_0_57,plain,
    ( product(e_1,e_3,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_54]),c_0_37]) ).

cnf(c_0_58,plain,
    ( product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_45,c_0_31]) ).

cnf(c_0_59,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_4,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,axiom,
    ~ equalish(e_1,e_3),
    e_1_is_not_e_3 ).

cnf(c_0_62,negated_conjecture,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,X1)
    | ~ product(e_4,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_4)
    | equalish(X1,e_4)
    | ~ product(e_1,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_60]),c_0_61]) ).

cnf(c_0_65,axiom,
    ~ equalish(e_3,e_4),
    e_3_is_not_e_4 ).

cnf(c_0_66,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_62,c_0_39]) ).

cnf(c_0_67,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_66]),c_0_29]) ).

cnf(c_0_69,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_67]),c_0_34]) ).

cnf(c_0_70,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | equalish(X1,e_4)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_69]),c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_72]),c_0_65]) ).

cnf(c_0_74,axiom,
    ~ equalish(e_4,e_3),
    e_4_is_not_e_3 ).

cnf(c_0_75,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | equalish(X1,e_1)
    | ~ product(e_3,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_73]),c_0_74]) ).

cnf(c_0_77,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | equalish(X1,e_3)
    | ~ product(e_1,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_26,c_0_57]) ).

cnf(c_0_78,axiom,
    ~ equalish(e_2,e_3),
    e_2_is_not_e_3 ).

cnf(c_0_79,negated_conjecture,
    product(e_2,e_1,e_3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_29]) ).

cnf(c_0_80,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_44]),c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    ( product(e_3,e_1,X1)
    | ~ product(e_1,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_79]) ).

cnf(c_0_82,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_80]),c_0_61]) ).

cnf(c_0_83,plain,
    ( product(e_1,e_4,e_2)
    | equalish(X1,e_4)
    | ~ product(e_1,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_55]) ).

cnf(c_0_84,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,axiom,
    ~ equalish(e_2,e_4),
    e_2_is_not_e_4 ).

cnf(c_0_86,negated_conjecture,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).

cnf(c_0_87,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

cnf(c_0_88,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_81,c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_2,X1)
    | ~ product(e_2,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_88]),c_0_50]) ).

cnf(c_0_91,negated_conjecture,
    ( product(e_1,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_89,c_0_79]) ).

cnf(c_0_92,negated_conjecture,
    ( product(e_3,e_1,e_3)
    | equalish(X1,e_1)
    | ~ product(e_3,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_26,c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_91]),c_0_41]) ).

cnf(c_0_94,negated_conjecture,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_41]) ).

cnf(c_0_95,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_94]),c_0_61]) ).

cnf(c_0_96,negated_conjecture,
    product(e_3,e_2,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_95]),c_0_78]) ).

cnf(c_0_97,axiom,
    ~ equalish(e_3,e_2),
    e_3_is_not_e_2 ).

cnf(c_0_98,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_96]),c_0_97]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP127-1.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32  % Computer : n021.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon May  4 18:25:10 EDT 2026
% 0.13/0.32  % CPUTime    : 
% 0.13/0.33  % start to proof: theBenchmark
% 1.34/1.74  % Version  : CSE_E---1.7
% 1.34/1.74  % Problem  : theBenchmark.p
% 1.34/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 1.34/1.74  % SZS output start CNFRefutation
% See solution above
% 1.34/1.74  % Total time : 1.370s
%------------------------------------------------------------------------------