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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : COL095-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 12:09:36 PM UTC 2026

% Result   : Unsatisfiable 9.32s 1.81s
% Output   : CNFRefutation 9.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   95 (  20 unt;   7 nHn;  95 RR)
%            Number of literals    :  192 (  41 equ;  98 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  186 (  39 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ap_E2,axiom,
    ( ~ member(comb_app(X1,X2),comb)
    | member(X2,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).

cnf(k1_parcontractD_1,axiom,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | X2 = comb_app(combK,k1_parcontractD_sk1(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_1) ).

cnf(parcontract_combD2,axiom,
    ( ~ member(pair(X1,X2),parcontract)
    | member(X2,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_combD2) ).

cnf(app_app1,axiom,
    ( comb_app(X1,X2) != comb_app(X3,X4)
    | X1 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).

cnf(ap_parcontractE11,axiom,
    ( ~ ap_parcontractE_c3(X1,X2,X3)
    | X1 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X1,X2,X3)),ap_parcontractE_sk1q(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE11) ).

cnf(parcontract_intros2,axiom,
    ( ~ member(X2,comb)
    | ~ member(X1,comb)
    | member(pair(comb_app(comb_app(combK,X1),X2),X1),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros2) ).

cnf(ap_parcontractE13,axiom,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(pair(X2,ap_parcontractE_sk2s(X1,X2,X3)),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE13) ).

cnf(k_app,axiom,
    combK != comb_app(X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).

cnf(diamond_parcontract_2c2,negated_conjecture,
    ( ~ member(pair(yp,X1),parcontract)
    | ~ member(pair(p,X1),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2c2) ).

cnf(k1_parcontractD_2,axiom,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | member(pair(X1,k1_parcontractD_sk1(X1,X2)),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_2) ).

cnf(ap_parcontractE14,axiom,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | X3 = comb_app(ap_parcontractE_sk2q(X1,X2,X3),ap_parcontractE_sk2s(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE14) ).

cnf(app_app2,axiom,
    ( comb_app(X1,X2) != comb_app(X3,X4)
    | X2 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app2) ).

cnf(ap_parcontractE1,axiom,
    ( ~ member(pair(comb_app(X1,X2),X3),parcontract)
    | ap_parcontractE_c4(X1,X2,X3)
    | ap_parcontractE_c3(X1,X2,X3)
    | ap_parcontractE_c2(X1,X2,X3)
    | ap_parcontractE_c1(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE1) ).

cnf(k_parcontractE2,axiom,
    ( ~ member(pair(combK,X1),parcontract)
    | X1 = combK ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_parcontractE2) ).

cnf(ap_parcontractE3,axiom,
    ( ~ ap_parcontractE_c1(X1,X2,X3)
    | X3 = comb_app(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE3) ).

cnf(diamond_parcontract_2c1,negated_conjecture,
    member(pair(comb_app(comb_app(combK,p),q),yp),parcontract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2c1) ).

cnf(ap_parcontractE12,axiom,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(pair(X1,ap_parcontractE_sk2q(X1,X2,X3)),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE12) ).

cnf(parcontract_intros4,axiom,
    ( ~ member(pair(X3,X4),parcontract)
    | ~ member(pair(X1,X2),parcontract)
    | member(pair(comb_app(X1,X3),comb_app(X2,X4)),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros4) ).

cnf(ap_parcontractE6,axiom,
    ( ~ ap_parcontractE_c2(X1,X2,X3)
    | X1 = comb_app(combK,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE6) ).

cnf(parcontract_intros1,axiom,
    ( ~ member(X1,comb)
    | member(pair(X1,X1),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros1) ).

cnf(diamond_parcontract_2h1,hypothesis,
    member(p,comb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2h1) ).

cnf(comb_intros1,axiom,
    member(combK,comb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros1) ).

cnf(diamond_parcontract_2h2,hypothesis,
    member(q,comb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2h2) ).

cnf(c_0_23,plain,
    ( ~ member(comb_app(X1,X2),comb)
    | member(X2,comb) ),
    inference(fof_simplification,[status(thm)],[ap_E2]) ).

cnf(c_0_24,plain,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | X2 = comb_app(combK,k1_parcontractD_sk1(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[k1_parcontractD_1]) ).

cnf(c_0_25,plain,
    ( ~ member(pair(X1,X2),parcontract)
    | member(X2,comb) ),
    inference(fof_simplification,[status(thm)],[parcontract_combD2]) ).

cnf(c_0_26,plain,
    ( comb_app(X1,X2) != comb_app(X3,X4)
    | X1 = X3 ),
    inference(fof_simplification,[status(thm)],[app_app1]) ).

cnf(c_0_27,plain,
    ( ~ ap_parcontractE_c3(X1,X2,X3)
    | X1 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X1,X2,X3)),ap_parcontractE_sk1q(X1,X2,X3)) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE11]) ).

cnf(c_0_28,plain,
    ( ~ member(X2,comb)
    | ~ member(X1,comb)
    | member(pair(comb_app(comb_app(combK,X1),X2),X1),parcontract) ),
    inference(fof_simplification,[status(thm)],[parcontract_intros2]) ).

cnf(c_0_29,plain,
    ( ~ member(comb_app(X1,X2),comb)
    | member(X2,comb) ),
    c_0_23 ).

cnf(c_0_30,plain,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | X2 = comb_app(combK,k1_parcontractD_sk1(X1,X2)) ),
    c_0_24 ).

cnf(c_0_31,plain,
    ( ~ member(pair(X1,X2),parcontract)
    | member(X2,comb) ),
    c_0_25 ).

cnf(c_0_32,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(pair(X2,ap_parcontractE_sk2s(X1,X2,X3)),parcontract) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE13]) ).

cnf(c_0_33,plain,
    combK != comb_app(X1,X2),
    inference(fof_simplification,[status(thm)],[k_app]) ).

cnf(c_0_34,plain,
    ( comb_app(X1,X2) != comb_app(X3,X4)
    | X1 = X3 ),
    c_0_26 ).

cnf(c_0_35,plain,
    ( ~ ap_parcontractE_c3(X1,X2,X3)
    | X1 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X1,X2,X3)),ap_parcontractE_sk1q(X1,X2,X3)) ),
    c_0_27 ).

cnf(c_0_36,negated_conjecture,
    ( ~ member(pair(yp,X1),parcontract)
    | ~ member(pair(p,X1),parcontract) ),
    inference(fof_simplification,[status(thm)],[diamond_parcontract_2c2]) ).

cnf(c_0_37,plain,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | member(pair(X1,k1_parcontractD_sk1(X1,X2)),parcontract) ),
    inference(fof_simplification,[status(thm)],[k1_parcontractD_2]) ).

cnf(c_0_38,plain,
    ( ~ member(X2,comb)
    | ~ member(X1,comb)
    | member(pair(comb_app(comb_app(combK,X1),X2),X1),parcontract) ),
    c_0_28 ).

cnf(c_0_39,plain,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | member(k1_parcontractD_sk1(X1,X2),comb) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_40,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | X3 = comb_app(ap_parcontractE_sk2q(X1,X2,X3),ap_parcontractE_sk2s(X1,X2,X3)) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE14]) ).

cnf(c_0_41,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(pair(X2,ap_parcontractE_sk2s(X1,X2,X3)),parcontract) ),
    c_0_32 ).

cnf(c_0_42,plain,
    ( comb_app(X1,X2) != comb_app(X3,X4)
    | X2 = X4 ),
    inference(fof_simplification,[status(thm)],[app_app2]) ).

cnf(c_0_43,plain,
    ( ~ member(pair(comb_app(X1,X2),X3),parcontract)
    | ap_parcontractE_c4(X1,X2,X3)
    | ap_parcontractE_c3(X1,X2,X3)
    | ap_parcontractE_c2(X1,X2,X3)
    | ap_parcontractE_c1(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE1]) ).

cnf(c_0_44,plain,
    combK != comb_app(X1,X2),
    c_0_33 ).

cnf(c_0_45,plain,
    ( ~ ap_parcontractE_c3(comb_app(X1,X2),X3,X4)
    | comb_app(combS,ap_parcontractE_sk1p(comb_app(X1,X2),X3,X4)) = X1 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ member(pair(yp,X1),parcontract)
    | ~ member(pair(p,X1),parcontract) ),
    c_0_36 ).

cnf(c_0_47,plain,
    ( ~ member(pair(comb_app(combK,X1),X2),parcontract)
    | member(pair(X1,k1_parcontractD_sk1(X1,X2)),parcontract) ),
    c_0_37 ).

cnf(c_0_48,plain,
    ( ~ member(X2,comb)
    | ~ member(pair(comb_app(combK,X3),X1),parcontract)
    | member(pair(comb_app(X1,X2),k1_parcontractD_sk1(X3,X1)),parcontract) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_30]),c_0_39]) ).

cnf(c_0_49,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | X3 = comb_app(ap_parcontractE_sk2q(X1,X2,X3),ap_parcontractE_sk2s(X1,X2,X3)) ),
    c_0_40 ).

cnf(c_0_50,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(ap_parcontractE_sk2s(X1,X2,X3),comb) ),
    inference(spm,[status(thm)],[c_0_31,c_0_41]) ).

cnf(c_0_51,plain,
    ( ~ member(pair(combK,X1),parcontract)
    | X1 = combK ),
    inference(fof_simplification,[status(thm)],[k_parcontractE2]) ).

cnf(c_0_52,plain,
    ( comb_app(X1,X2) != comb_app(X3,X4)
    | X2 = X4 ),
    c_0_42 ).

cnf(c_0_53,plain,
    ( ~ ap_parcontractE_c1(X1,X2,X3)
    | X3 = comb_app(X1,X2) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE3]) ).

cnf(c_0_54,plain,
    ( ~ member(pair(comb_app(X1,X2),X3),parcontract)
    | ap_parcontractE_c4(X1,X2,X3)
    | ap_parcontractE_c3(X1,X2,X3)
    | ap_parcontractE_c2(X1,X2,X3)
    | ap_parcontractE_c1(X1,X2,X3) ),
    c_0_43 ).

cnf(c_0_55,negated_conjecture,
    member(pair(comb_app(comb_app(combK,p),q),yp),parcontract),
    diamond_parcontract_2c1 ).

cnf(c_0_56,plain,
    ~ ap_parcontractE_c3(comb_app(combK,X1),X2,X3),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ member(pair(comb_app(combK,p),X1),parcontract)
    | ~ member(pair(yp,k1_parcontractD_sk1(p,X1)),parcontract) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_58,plain,
    ( ~ member(pair(comb_app(combK,X2),ap_parcontractE_sk2q(X3,X4,X1)),parcontract)
    | ~ ap_parcontractE_c4(X3,X4,X1)
    | member(pair(X1,k1_parcontractD_sk1(X2,ap_parcontractE_sk2q(X3,X4,X1))),parcontract) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_59,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(pair(X1,ap_parcontractE_sk2q(X1,X2,X3)),parcontract) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE12]) ).

cnf(c_0_60,plain,
    ( ~ member(pair(combK,X1),parcontract)
    | X1 = combK ),
    c_0_51 ).

cnf(c_0_61,plain,
    ( ~ member(pair(comb_app(combK,X1),comb_app(X2,X3)),parcontract)
    | k1_parcontractD_sk1(X1,comb_app(X2,X3)) = X3 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_30])]) ).

cnf(c_0_62,plain,
    ( ~ ap_parcontractE_c1(X1,X2,X3)
    | X3 = comb_app(X1,X2) ),
    c_0_53 ).

cnf(c_0_63,negated_conjecture,
    ( ap_parcontractE_c1(comb_app(combK,p),q,yp)
    | ap_parcontractE_c2(comb_app(combK,p),q,yp)
    | ap_parcontractE_c4(comb_app(combK,p),q,yp) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ member(pair(comb_app(combK,p),ap_parcontractE_sk2q(X1,X2,yp)),parcontract)
    | ~ ap_parcontractE_c4(X1,X2,yp) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,plain,
    ( ~ ap_parcontractE_c4(X1,X2,X3)
    | member(pair(X1,ap_parcontractE_sk2q(X1,X2,X3)),parcontract) ),
    c_0_59 ).

cnf(c_0_66,plain,
    ( ~ member(pair(comb_app(combK,combK),X1),parcontract)
    | k1_parcontractD_sk1(combK,X1) = combK ),
    inference(spm,[status(thm)],[c_0_60,c_0_47]) ).

cnf(c_0_67,plain,
    ( ~ member(pair(X3,X4),parcontract)
    | ~ member(pair(X1,X2),parcontract)
    | member(pair(comb_app(X1,X3),comb_app(X2,X4)),parcontract) ),
    inference(fof_simplification,[status(thm)],[parcontract_intros4]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ member(pair(yp,X2),parcontract)
    | ~ member(pair(comb_app(combK,p),comb_app(X1,X2)),parcontract) ),
    inference(spm,[status(thm)],[c_0_57,c_0_61]) ).

cnf(c_0_69,plain,
    ( ~ ap_parcontractE_c2(X1,X2,X3)
    | X1 = comb_app(combK,X3) ),
    inference(fof_simplification,[status(thm)],[ap_parcontractE6]) ).

cnf(c_0_70,negated_conjecture,
    ( ap_parcontractE_c2(comb_app(combK,p),q,yp)
    | ap_parcontractE_c4(comb_app(combK,p),q,yp)
    | comb_app(comb_app(combK,p),q) = yp ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    ~ ap_parcontractE_c4(comb_app(combK,p),X1,yp),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,plain,
    ( ~ member(X1,comb)
    | member(pair(X1,X1),parcontract) ),
    inference(fof_simplification,[status(thm)],[parcontract_intros1]) ).

cnf(c_0_73,plain,
    ( ~ member(pair(comb_app(combK,combK),X1),parcontract)
    | member(pair(combK,combK),parcontract) ),
    inference(spm,[status(thm)],[c_0_47,c_0_66]) ).

cnf(c_0_74,plain,
    ( ~ member(pair(X3,X4),parcontract)
    | ~ member(pair(X1,X2),parcontract)
    | member(pair(comb_app(X1,X3),comb_app(X2,X4)),parcontract) ),
    c_0_67 ).

cnf(c_0_75,negated_conjecture,
    ( ~ member(pair(comb_app(combK,X2),X1),parcontract)
    | ~ member(pair(yp,k1_parcontractD_sk1(X2,X1)),parcontract)
    | ~ member(pair(comb_app(combK,p),X1),parcontract) ),
    inference(spm,[status(thm)],[c_0_68,c_0_30]) ).

cnf(c_0_76,plain,
    ( ~ ap_parcontractE_c2(X1,X2,X3)
    | X1 = comb_app(combK,X3) ),
    c_0_69 ).

cnf(c_0_77,negated_conjecture,
    ( ap_parcontractE_c2(comb_app(combK,p),q,yp)
    | comb_app(comb_app(combK,p),q) = yp ),
    inference(sr,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_78,plain,
    ( ~ member(X1,comb)
    | member(pair(X1,X1),parcontract) ),
    c_0_72 ).

cnf(c_0_79,hypothesis,
    member(p,comb),
    diamond_parcontract_2h1 ).

cnf(c_0_80,plain,
    ( ~ member(pair(combK,X2),parcontract)
    | ~ member(pair(combK,X1),parcontract)
    | member(pair(combK,combK),parcontract) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_81,axiom,
    member(combK,comb),
    comb_intros1 ).

cnf(c_0_82,negated_conjecture,
    ( ~ member(pair(comb_app(combK,yp),X1),parcontract)
    | ~ member(pair(comb_app(combK,p),X1),parcontract) ),
    inference(spm,[status(thm)],[c_0_75,c_0_47]) ).

cnf(c_0_83,negated_conjecture,
    ( comb_app(combK,p) = comb_app(combK,yp)
    | comb_app(comb_app(combK,p),q) = yp ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_84,hypothesis,
    member(q,comb),
    diamond_parcontract_2h2 ).

cnf(c_0_85,negated_conjecture,
    ~ member(pair(yp,p),parcontract),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_78]),c_0_79])]) ).

cnf(c_0_86,plain,
    ( ~ member(pair(X4,X1),parcontract)
    | ~ member(pair(X3,X2),parcontract)
    | member(comb_app(X1,X2),comb) ),
    inference(spm,[status(thm)],[c_0_31,c_0_74]) ).

cnf(c_0_87,plain,
    ( ~ member(pair(combK,X1),parcontract)
    | member(pair(combK,combK),parcontract) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_81])]) ).

cnf(c_0_88,negated_conjecture,
    ~ member(pair(comb_app(combK,yp),comb_app(combK,p)),parcontract),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_78]),c_0_31]) ).

cnf(c_0_89,negated_conjecture,
    comb_app(combK,p) = comb_app(combK,yp),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_83]),c_0_84]),c_0_79])]),c_0_85]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ member(pair(X2,X1),parcontract)
    | member(comb_app(X1,yp),comb) ),
    inference(spm,[status(thm)],[c_0_86,c_0_55]) ).

cnf(c_0_91,plain,
    member(pair(combK,combK),parcontract),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_78]),c_0_81])]) ).

cnf(c_0_92,negated_conjecture,
    ~ member(pair(comb_app(combK,yp),comb_app(combK,yp)),parcontract),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_93,negated_conjecture,
    member(comb_app(combK,yp),comb),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_78]),c_0_93])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COL095-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35  % Computer : n020.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 14:10:47 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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
% 9.32/1.81  % Version: 3.5.1
% 9.32/1.81  % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.32/1.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.32/1.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.32/1.81  % Starting new_bool_3 with 300s (1) cores
% 9.32/1.81  % Starting new_bool_1 with 300s (1) cores
% 9.32/1.81  % Starting sh5l with 300s (1) cores
% 9.32/1.81  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3135488 completed with status 0
% 9.32/1.81  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 9.32/1.81  % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.32/1.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.32/1.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.32/1.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.32/1.81  % No SInE strategy applied
% 9.32/1.81  % Search class: FGHSF-FFMS32-MFFFFFNN
% 9.32/1.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.32/1.81  % Starting SubtermCWHack with 136s (1) cores
% 9.32/1.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 9.32/1.81  % Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.32/1.81  % Starting new_bool_3 with 136s (1) cores
% 9.32/1.81  % Starting new_bool_1 with 136s (1) cores
% 9.32/1.81  % G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3135495 completed with status 0
% 9.32/1.81  % Result found by G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.32/1.81  % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.32/1.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.32/1.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.32/1.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.32/1.81  % No SInE strategy applied
% 9.32/1.81  % Search class: FGHSF-FFMS32-MFFFFFNN
% 9.32/1.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.32/1.81  % Starting SubtermCWHack with 136s (1) cores
% 9.32/1.81  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 9.32/1.81  % Starting G-E--_208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.32/1.81  % Preprocessing time       : 0.001 s
% 9.32/1.81  % Presaturation interreduction done
% 9.32/1.81  
% 9.32/1.81  % Proof found!
% 9.32/1.81  % SZS status Unsatisfiable
% 9.32/1.81  % SZS output start CNFRefutation
% See solution above
% 9.32/1.81  % Parsed axioms                        : 68
% 9.32/1.81  % Removed by relevancy pruning/SinE    : 0
% 9.32/1.81  % Initial clauses                      : 68
% 9.32/1.81  % Removed in clause preprocessing      : 1
% 9.32/1.81  % Initial clauses in saturation        : 67
% 9.32/1.81  % Processed clauses                    : 9343
% 9.32/1.81  % ...of these trivial                  : 9
% 9.32/1.81  % ...subsumed                          : 5892
% 9.32/1.81  % ...remaining for further processing  : 3442
% 9.32/1.81  % Other redundant clauses eliminated   : 183
% 9.32/1.81  % Clauses deleted for lack of memory   : 0
% 9.32/1.81  % Backward-subsumed                    : 423
% 9.32/1.81  % Backward-rewritten                   : 171
% 9.32/1.81  % Generated clauses                    : 68502
% 9.32/1.81  % ...of the previous two non-redundant : 66992
% 9.32/1.81  % ...aggressively subsumed             : 0
% 9.32/1.81  % Contextual simplify-reflections      : 169
% 9.32/1.81  % Paramodulations                      : 68311
% 9.32/1.81  % Factorizations                       : 0
% 9.32/1.81  % NegExts                              : 0
% 9.32/1.81  % Equation resolutions                 : 188
% 9.32/1.81  % Disequality decompositions           : 0
% 9.32/1.81  % Total rewrite steps                  : 9593
% 9.32/1.81  % ...of those cached                   : 9533
% 9.32/1.81  % Propositional unsat checks           : 0
% 9.32/1.81  %    Propositional check models        : 0
% 9.32/1.81  %    Propositional check unsatisfiable : 0
% 9.32/1.81  %    Propositional clauses             : 0
% 9.32/1.81  %    Propositional clauses after purity: 0
% 9.32/1.81  %    Propositional unsat core size     : 0
% 9.32/1.81  %    Propositional preprocessing time  : 0.000
% 9.32/1.81  %    Propositional encoding time       : 0.000
% 9.32/1.81  %    Propositional solver time         : 0.000
% 9.32/1.81  %    Success case prop preproc time    : 0.000
% 9.32/1.81  %    Success case prop encoding time   : 0.000
% 9.32/1.81  %    Success case prop solver time     : 0.000
% 9.32/1.81  % Current number of processed clauses  : 2777
% 9.32/1.81  %    Positive orientable unit clauses  : 66
% 9.32/1.81  %    Positive unorientable unit clauses: 0
% 9.32/1.81  %    Negative unit clauses             : 103
% 9.32/1.81  %    Non-unit-clauses                  : 2608
% 9.32/1.81  % Current number of unprocessed clauses: 57134
% 9.32/1.81  % ...number of literals in the above   : 226306
% 9.32/1.81  % Current number of archived formulas  : 0
% 9.32/1.81  % Current number of archived clauses   : 662
% 9.32/1.81  % Clause-clause subsumption calls (NU) : 1366621
% 9.32/1.81  % Rec. Clause-clause subsumption calls : 495878
% 9.32/1.81  % Non-unit clause-clause subsumptions  : 3035
% 9.32/1.81  % Unit Clause-clause subsumption calls : 25838
% 9.32/1.81  % Rewrite failures with RHS unbound    : 0
% 9.32/1.81  % BW rewrite match attempts            : 123
% 9.32/1.81  % BW rewrite match successes           : 36
% 9.32/1.81  % Condensation attempts                : 0
% 9.32/1.81  % Condensation successes               : 0
% 9.32/1.81  % Termbank termtop insertions          : 1327671
% 9.32/1.81  % Search garbage collected termcells   : 123
% 9.32/1.81  
% 9.32/1.81  % -------------------------------------------------
% 9.32/1.81  % User time                : 1.160 s
% 9.32/1.81  % System time              : 0.047 s
% 9.32/1.81  % Total time               : 1.206 s
% 9.32/1.81  % Maximum resident set size: 3688 pages
% 9.32/1.81  
% 9.32/1.81  % -------------------------------------------------
% 9.32/1.81  % User time                : 6.145 s
% 9.32/1.81  % System time              : 0.314 s
% 9.32/1.81  % Total time               : 6.458 s
% 9.32/1.81  % Maximum resident set size: 4608 pages
% 9.32/1.81  % E exiting
%------------------------------------------------------------------------------