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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : RNG008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 02:05:28 PM UTC 2026

% Result   : Unsatisfiable 10.02s 1.70s
% Output   : CNFRefutation 10.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   22
% Syntax   : Number of clauses     :  185 (  83 unt;   0 nHn; 131 RR)
%            Number of literals    :  390 (  69 equ; 208 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  469 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(addition_is_well_defined,axiom,
    ( ~ sum(X1,X2,X4)
    | ~ sum(X1,X2,X3)
    | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).

cnf(associativity_of_addition2,axiom,
    ( ~ sum(X1,X5,X6)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X2,X3)
    | sum(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).

cnf(additive_identity2,axiom,
    sum(X1,additive_identity,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).

cnf(left_inverse,axiom,
    sum(additive_inverse(X1),X1,additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',left_inverse) ).

cnf(closure_of_addition,axiom,
    sum(X1,X2,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).

cnf(commutativity_of_addition,axiom,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).

cnf(associativity_of_multiplication2,axiom,
    ( ~ product(X1,X5,X6)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication2) ).

cnf(multiplication_is_well_defined,axiom,
    ( ~ product(X1,X2,X4)
    | ~ product(X1,X2,X3)
    | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).

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

cnf(a_times_b_is_c,hypothesis,
    product(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).

cnf(cancellation2,axiom,
    ( ~ sum(X4,X2,X3)
    | ~ sum(X1,X2,X3)
    | X1 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation2) ).

cnf(cancellation1,axiom,
    ( ~ sum(X1,X4,X3)
    | ~ sum(X1,X2,X3)
    | X2 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation1) ).

cnf(distributivity3,axiom,
    ( ~ product(X6,X2,X7)
    | ~ sum(X1,X4,X6)
    | ~ product(X4,X2,X5)
    | ~ product(X1,X2,X3)
    | sum(X3,X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity3) ).

cnf(closure_of_multiplication,axiom,
    product(X1,X2,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).

cnf(distributivity1,axiom,
    ( ~ product(X1,X6,X7)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X2,X3)
    | sum(X3,X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity1) ).

cnf(right_inverse,axiom,
    sum(X1,additive_inverse(X1),additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',right_inverse) ).

cnf(additive_identity1,axiom,
    sum(additive_identity,X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).

cnf(associativity_of_multiplication1,axiom,
    ( ~ product(X3,X4,X6)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X1,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication1) ).

cnf(associativity_of_addition1,axiom,
    ( ~ sum(X3,X4,X6)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X2,X3)
    | sum(X1,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).

cnf(distributivity2,axiom,
    ( ~ sum(X3,X5,X7)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X1,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity2) ).

cnf(distributivity4,axiom,
    ( ~ sum(X3,X5,X7)
    | ~ sum(X1,X4,X6)
    | ~ product(X4,X2,X5)
    | ~ product(X1,X2,X3)
    | product(X6,X2,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity4) ).

cnf(prove_b_times_a_is_c,negated_conjecture,
    ~ product(b,a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).

cnf(c_0_22,plain,
    ( ~ sum(X1,X2,X4)
    | ~ sum(X1,X2,X3)
    | X3 = X4 ),
    inference(fof_simplification,[status(thm)],[addition_is_well_defined]) ).

cnf(c_0_23,plain,
    ( ~ sum(X1,X5,X6)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X2,X3)
    | sum(X3,X4,X6) ),
    inference(fof_simplification,[status(thm)],[associativity_of_addition2]) ).

cnf(c_0_24,plain,
    ( ~ sum(X1,X2,X4)
    | ~ sum(X1,X2,X3)
    | X3 = X4 ),
    c_0_22 ).

cnf(c_0_25,axiom,
    sum(X1,additive_identity,X1),
    additive_identity2 ).

cnf(c_0_26,plain,
    ( ~ sum(X1,X5,X6)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X2,X3)
    | sum(X3,X4,X6) ),
    c_0_23 ).

cnf(c_0_27,axiom,
    sum(additive_inverse(X1),X1,additive_identity),
    left_inverse ).

cnf(c_0_28,plain,
    ( ~ sum(X2,additive_identity,X1)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,axiom,
    sum(X1,X2,add(X1,X2)),
    closure_of_addition ).

cnf(c_0_30,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_of_addition]) ).

cnf(c_0_31,plain,
    ( ~ product(X1,X5,X6)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X3,X4,X6) ),
    inference(fof_simplification,[status(thm)],[associativity_of_multiplication2]) ).

cnf(c_0_32,plain,
    ( ~ product(X1,X2,X4)
    | ~ product(X1,X2,X3)
    | X3 = X4 ),
    inference(fof_simplification,[status(thm)],[multiplication_is_well_defined]) ).

cnf(c_0_33,plain,
    ( ~ sum(X4,additive_identity,X3)
    | ~ sum(X4,additive_inverse(X2),X1)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,plain,
    add(X1,additive_identity) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    c_0_30 ).

cnf(c_0_36,plain,
    ( ~ product(X1,X5,X6)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X3,X4,X6) ),
    c_0_31 ).

cnf(c_0_37,hypothesis,
    product(X1,X1,X1),
    x_squared_is_x ).

cnf(c_0_38,plain,
    ( ~ product(X1,X2,X4)
    | ~ product(X1,X2,X3)
    | X3 = X4 ),
    c_0_32 ).

cnf(c_0_39,hypothesis,
    product(a,b,c),
    a_times_b_is_c ).

cnf(c_0_40,plain,
    ( ~ sum(X4,X2,X3)
    | ~ sum(X1,X2,X3)
    | X1 = X4 ),
    inference(fof_simplification,[status(thm)],[cancellation2]) ).

cnf(c_0_41,plain,
    ( ~ sum(X3,additive_inverse(X2),X1)
    | sum(X1,X2,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_34]) ).

cnf(c_0_42,plain,
    ( ~ sum(X2,X3,X1)
    | X1 = add(X2,X3) ),
    inference(spm,[status(thm)],[c_0_24,c_0_29]) ).

cnf(c_0_43,plain,
    sum(X1,X2,add(X2,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_29]) ).

cnf(c_0_44,plain,
    ( ~ sum(X1,X4,X3)
    | ~ sum(X1,X2,X3)
    | X2 = X4 ),
    inference(fof_simplification,[status(thm)],[cancellation1]) ).

cnf(c_0_45,plain,
    ( ~ product(X6,X2,X7)
    | ~ sum(X1,X4,X6)
    | ~ product(X4,X2,X5)
    | ~ product(X1,X2,X3)
    | sum(X3,X5,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity3]) ).

cnf(c_0_46,hypothesis,
    ( ~ product(X4,X2,X1)
    | ~ product(X4,X2,X3)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_47,hypothesis,
    ( ~ product(a,b,X1)
    | X1 = c ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_48,axiom,
    product(X1,X2,multiply(X1,X2)),
    closure_of_multiplication ).

cnf(c_0_49,plain,
    ( ~ product(X1,X6,X7)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X2,X3)
    | sum(X3,X5,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity1]) ).

cnf(c_0_50,plain,
    ( ~ sum(X4,X2,X3)
    | ~ sum(X1,X2,X3)
    | X1 = X4 ),
    c_0_40 ).

cnf(c_0_51,plain,
    sum(add(X1,additive_inverse(X2)),X2,X1),
    inference(spm,[status(thm)],[c_0_41,c_0_29]) ).

cnf(c_0_52,plain,
    add(X1,X2) = add(X2,X1),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_53,plain,
    ( ~ sum(X1,X4,X3)
    | ~ sum(X1,X2,X3)
    | X2 = X4 ),
    c_0_44 ).

cnf(c_0_54,plain,
    ( ~ product(X6,X2,X7)
    | ~ sum(X1,X4,X6)
    | ~ product(X4,X2,X5)
    | ~ product(X1,X2,X3)
    | sum(X3,X5,X7) ),
    c_0_45 ).

cnf(c_0_55,hypothesis,
    ( ~ product(a,b,X1)
    | product(X1,b,c) ),
    inference(spm,[status(thm)],[c_0_46,c_0_39]) ).

cnf(c_0_56,hypothesis,
    multiply(a,b) = c,
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_57,plain,
    ( ~ product(X1,X6,X7)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X2,X3)
    | sum(X3,X5,X7) ),
    c_0_49 ).

cnf(c_0_58,plain,
    ( ~ sum(X1,X3,add(X2,X3))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_50,c_0_29]) ).

cnf(c_0_59,plain,
    add(X1,add(X2,additive_inverse(X1))) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_52]) ).

cnf(c_0_60,plain,
    ( ~ sum(additive_inverse(X2),X1,additive_identity)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_27]) ).

cnf(c_0_61,axiom,
    sum(X1,additive_inverse(X1),additive_identity),
    right_inverse ).

cnf(c_0_62,hypothesis,
    ( ~ sum(X4,X3,a)
    | ~ product(X4,b,X1)
    | ~ product(X3,b,X2)
    | sum(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_54,c_0_39]) ).

cnf(c_0_63,hypothesis,
    product(c,b,c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_48]),c_0_56]) ).

cnf(c_0_64,hypothesis,
    ( ~ sum(X5,X4,X3)
    | ~ product(X3,X5,X1)
    | ~ product(X3,X4,X2)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_37]) ).

cnf(c_0_65,plain,
    ( ~ sum(X1,add(X3,additive_inverse(X2)),X3)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    additive_inverse(additive_inverse(X1)) = X1,
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,hypothesis,
    ( ~ sum(X2,c,a)
    | ~ product(X2,b,X1)
    | sum(X1,c,c) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_68,axiom,
    sum(additive_identity,X1,X1),
    additive_identity1 ).

cnf(c_0_69,hypothesis,
    ( ~ sum(X5,X4,X3)
    | ~ product(X5,X3,X1)
    | ~ product(X4,X3,X2)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_54,c_0_37]) ).

cnf(c_0_70,hypothesis,
    ( ~ sum(X3,X2,X2)
    | ~ product(X2,X3,X1)
    | sum(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_37]) ).

cnf(c_0_71,plain,
    ( ~ product(X3,X4,X6)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X1,X5,X6) ),
    inference(fof_simplification,[status(thm)],[associativity_of_multiplication1]) ).

cnf(c_0_72,plain,
    ( ~ sum(X1,add(X3,X2),X3)
    | X1 = additive_inverse(X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,hypothesis,
    ( ~ sum(X1,c,a)
    | sum(multiply(X1,b),c,c) ),
    inference(spm,[status(thm)],[c_0_67,c_0_48]) ).

cnf(c_0_74,plain,
    sum(add(additive_inverse(X1),X2),X1,X2),
    inference(spm,[status(thm)],[c_0_41,c_0_43]) ).

cnf(c_0_75,plain,
    ( ~ sum(additive_inverse(X2),X2,X1)
    | X1 = additive_identity ),
    inference(spm,[status(thm)],[c_0_24,c_0_27]) ).

cnf(c_0_76,plain,
    ( ~ sum(additive_identity,X2,X1)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_24,c_0_68]) ).

cnf(c_0_77,hypothesis,
    ( ~ sum(X3,X2,X2)
    | ~ product(X3,X2,X1)
    | sum(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_37]) ).

cnf(c_0_78,hypothesis,
    ( ~ sum(X2,X1,X1)
    | sum(multiply(X1,X2),X1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_48]) ).

cnf(c_0_79,plain,
    ( ~ product(X3,X4,X6)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X1,X5,X6) ),
    c_0_71 ).

cnf(c_0_80,plain,
    ( ~ sum(X1,X2,X3)
    | X1 = additive_inverse(add(X2,additive_inverse(X3))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_59]) ).

cnf(c_0_81,hypothesis,
    sum(multiply(add(a,additive_inverse(c)),b),c,c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_52]) ).

cnf(c_0_82,plain,
    add(X1,additive_inverse(X1)) = additive_identity,
    inference(spm,[status(thm)],[c_0_75,c_0_43]) ).

cnf(c_0_83,plain,
    additive_inverse(additive_identity) = additive_identity,
    inference(spm,[status(thm)],[c_0_76,c_0_61]) ).

cnf(c_0_84,hypothesis,
    ( ~ sum(X1,X2,X2)
    | sum(multiply(X1,X2),X2,X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_48]) ).

cnf(c_0_85,hypothesis,
    ( ~ product(X3,a,X1)
    | ~ product(X3,c,X2)
    | product(X1,b,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_39]) ).

cnf(c_0_86,plain,
    ( ~ sum(X1,X2,X2)
    | X1 = additive_identity ),
    inference(spm,[status(thm)],[c_0_50,c_0_68]) ).

cnf(c_0_87,hypothesis,
    sum(multiply(X1,additive_identity),X1,X1),
    inference(spm,[status(thm)],[c_0_78,c_0_68]) ).

cnf(c_0_88,plain,
    ( ~ product(X1,X5,X3)
    | ~ product(X5,X4,X2)
    | product(X1,X2,multiply(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_48]) ).

cnf(c_0_89,hypothesis,
    multiply(add(a,additive_inverse(c)),b) = additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]) ).

cnf(c_0_90,hypothesis,
    sum(multiply(additive_identity,X1),X1,X1),
    inference(spm,[status(thm)],[c_0_84,c_0_68]) ).

cnf(c_0_91,hypothesis,
    ( ~ product(X2,a,X1)
    | product(X1,b,multiply(X2,c)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_48]) ).

cnf(c_0_92,plain,
    ( ~ sum(X3,X4,X6)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X2,X3)
    | sum(X1,X5,X6) ),
    inference(fof_simplification,[status(thm)],[associativity_of_addition1]) ).

cnf(c_0_93,hypothesis,
    multiply(X1,additive_identity) = additive_identity,
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_94,hypothesis,
    ( ~ product(X1,X4,X3)
    | ~ product(X4,X3,X2)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_79,c_0_37]) ).

cnf(c_0_95,plain,
    ( ~ product(X1,X2,X4)
    | product(X1,multiply(X2,X3),multiply(X4,X3)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_48]) ).

cnf(c_0_96,hypothesis,
    product(add(a,additive_inverse(c)),b,additive_identity),
    inference(spm,[status(thm)],[c_0_48,c_0_89]) ).

cnf(c_0_97,hypothesis,
    multiply(additive_identity,X1) = additive_identity,
    inference(spm,[status(thm)],[c_0_86,c_0_90]) ).

cnf(c_0_98,hypothesis,
    product(a,b,multiply(a,c)),
    inference(spm,[status(thm)],[c_0_91,c_0_37]) ).

cnf(c_0_99,plain,
    ( ~ sum(X3,X4,X6)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X2,X3)
    | sum(X1,X5,X6) ),
    c_0_92 ).

cnf(c_0_100,hypothesis,
    product(X1,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_48,c_0_93]) ).

cnf(c_0_101,plain,
    ( ~ sum(X3,X5,X7)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X1,X6,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity2]) ).

cnf(c_0_102,plain,
    ( ~ product(X4,X5,X1)
    | ~ product(X4,multiply(X5,X2),X3)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_48]) ).

cnf(c_0_103,hypothesis,
    ( ~ product(X1,X2,X3)
    | product(X1,multiply(X2,X3),X3) ),
    inference(spm,[status(thm)],[c_0_94,c_0_48]) ).

cnf(c_0_104,plain,
    ( ~ product(X2,X3,X1)
    | X1 = multiply(X2,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_48]) ).

cnf(c_0_105,hypothesis,
    product(add(a,additive_inverse(c)),multiply(b,X1),additive_identity),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).

cnf(c_0_106,hypothesis,
    ( ~ sum(X4,X3,b)
    | ~ product(a,X4,X1)
    | ~ product(a,X3,X2)
    | sum(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_57,c_0_39]) ).

cnf(c_0_107,hypothesis,
    multiply(a,c) = c,
    inference(spm,[status(thm)],[c_0_47,c_0_98]) ).

cnf(c_0_108,plain,
    ( ~ sum(X4,X3,X2)
    | ~ sum(X1,X4,additive_identity)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_99,c_0_68]) ).

cnf(c_0_109,plain,
    add(additive_inverse(X1),add(X2,X1)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_52]) ).

cnf(c_0_110,hypothesis,
    ( ~ sum(X5,X4,additive_identity)
    | ~ product(X3,X5,X1)
    | ~ product(X3,X4,X2)
    | sum(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_57,c_0_100]) ).

cnf(c_0_111,plain,
    ( ~ sum(X3,X5,X7)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X2,X3)
    | product(X1,X6,X7) ),
    c_0_101 ).

cnf(c_0_112,hypothesis,
    ( ~ product(c,multiply(b,X1),X2)
    | product(c,X1,X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_63]) ).

cnf(c_0_113,hypothesis,
    product(X1,multiply(X2,multiply(X1,X2)),multiply(X1,X2)),
    inference(spm,[status(thm)],[c_0_103,c_0_48]) ).

cnf(c_0_114,hypothesis,
    multiply(add(a,additive_inverse(c)),multiply(b,X1)) = additive_identity,
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_115,plain,
    ( ~ sum(add(X3,additive_inverse(X2)),X1,X3)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_51]) ).

cnf(c_0_116,hypothesis,
    ( ~ sum(X3,X2,b)
    | ~ product(a,X3,X1)
    | sum(X1,multiply(a,X2),c) ),
    inference(spm,[status(thm)],[c_0_106,c_0_48]) ).

cnf(c_0_117,hypothesis,
    product(a,c,c),
    inference(spm,[status(thm)],[c_0_48,c_0_107]) ).

cnf(c_0_118,plain,
    ( ~ sum(X1,X2,additive_identity)
    | sum(X1,add(X2,X3),X3) ),
    inference(spm,[status(thm)],[c_0_108,c_0_29]) ).

cnf(c_0_119,plain,
    add(X1,additive_inverse(add(X1,X2))) = additive_inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_109]),c_0_52]) ).

cnf(c_0_120,hypothesis,
    ( ~ sum(X3,X2,additive_identity)
    | ~ product(X2,X3,X1)
    | sum(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_110,c_0_37]) ).

cnf(c_0_121,hypothesis,
    ( ~ sum(X4,X1,X2)
    | ~ sum(X5,X1,X3)
    | ~ product(X1,X4,X5)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_111,c_0_37]) ).

cnf(c_0_122,hypothesis,
    product(c,X1,multiply(c,multiply(b,X1))),
    inference(spm,[status(thm)],[c_0_112,c_0_48]) ).

cnf(c_0_123,hypothesis,
    product(b,additive_identity,multiply(b,add(a,additive_inverse(c)))),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_124,plain,
    ( ~ sum(add(X3,X2),X1,X3)
    | X1 = additive_inverse(X2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_66]) ).

cnf(c_0_125,hypothesis,
    ( ~ sum(c,X1,b)
    | sum(c,multiply(a,X1),c) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_126,plain,
    sum(X1,add(additive_inverse(X1),X2),X2),
    inference(spm,[status(thm)],[c_0_118,c_0_61]) ).

cnf(c_0_127,plain,
    ( ~ sum(X1,additive_inverse(add(X2,X3)),additive_inverse(X3))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_58,c_0_119]) ).

cnf(c_0_128,hypothesis,
    ( ~ sum(X2,X1,additive_identity)
    | sum(multiply(X1,X2),X1,additive_identity) ),
    inference(spm,[status(thm)],[c_0_120,c_0_48]) ).

cnf(c_0_129,plain,
    sum(additive_inverse(X1),add(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_118,c_0_27]) ).

cnf(c_0_130,hypothesis,
    ( ~ product(a,multiply(b,X1),X2)
    | product(c,X1,X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_39]) ).

cnf(c_0_131,hypothesis,
    ( ~ sum(X4,X1,X2)
    | ~ sum(multiply(X1,X4),X1,X3)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_121,c_0_48]) ).

cnf(c_0_132,hypothesis,
    multiply(c,multiply(b,X1)) = multiply(c,X1),
    inference(spm,[status(thm)],[c_0_104,c_0_122]) ).

cnf(c_0_133,hypothesis,
    multiply(b,add(a,additive_inverse(c))) = additive_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_123]),c_0_93]) ).

cnf(c_0_134,plain,
    ( ~ sum(X2,X1,X3)
    | X1 = additive_inverse(add(X2,additive_inverse(X3))) ),
    inference(spm,[status(thm)],[c_0_124,c_0_59]) ).

cnf(c_0_135,hypothesis,
    sum(c,multiply(a,add(b,additive_inverse(c))),c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_52]) ).

cnf(c_0_136,hypothesis,
    product(additive_identity,X1,additive_identity),
    inference(spm,[status(thm)],[c_0_48,c_0_97]) ).

cnf(c_0_137,plain,
    ( ~ sum(X1,additive_inverse(add(X2,additive_inverse(X3))),X3)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_127,c_0_66]) ).

cnf(c_0_138,hypothesis,
    sum(multiply(X1,additive_inverse(X1)),X1,additive_identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_34]),c_0_34]) ).

cnf(c_0_139,plain,
    ( ~ sum(X3,X5,X7)
    | ~ sum(X1,X4,X6)
    | ~ product(X4,X2,X5)
    | ~ product(X1,X2,X3)
    | product(X6,X2,X7) ),
    inference(fof_simplification,[status(thm)],[distributivity4]) ).

cnf(c_0_140,hypothesis,
    product(c,X1,multiply(a,multiply(b,X1))),
    inference(spm,[status(thm)],[c_0_130,c_0_48]) ).

cnf(c_0_141,hypothesis,
    ( ~ sum(multiply(X1,X2),X1,X3)
    | product(X1,add(X2,X1),X3) ),
    inference(spm,[status(thm)],[c_0_131,c_0_29]) ).

cnf(c_0_142,hypothesis,
    multiply(c,add(a,additive_inverse(c))) = additive_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_93]) ).

cnf(c_0_143,hypothesis,
    multiply(a,add(b,additive_inverse(c))) = additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_82]),c_0_83]) ).

cnf(c_0_144,plain,
    ( ~ sum(X3,X1,add(X2,X3))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_53,c_0_43]) ).

cnf(c_0_145,hypothesis,
    ( ~ sum(X5,X3,additive_identity)
    | ~ product(X5,X4,X1)
    | ~ product(X3,X4,X2)
    | sum(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_54,c_0_136]) ).

cnf(c_0_146,hypothesis,
    multiply(additive_inverse(X1),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_83]),c_0_34]),c_0_83]),c_0_34]),c_0_66]) ).

cnf(c_0_147,plain,
    ( ~ sum(X3,X5,X7)
    | ~ sum(X1,X4,X6)
    | ~ product(X4,X2,X5)
    | ~ product(X1,X2,X3)
    | product(X6,X2,X7) ),
    c_0_139 ).

cnf(c_0_148,hypothesis,
    multiply(a,multiply(b,X1)) = multiply(c,X1),
    inference(spm,[status(thm)],[c_0_104,c_0_140]) ).

cnf(c_0_149,hypothesis,
    ( ~ sum(additive_identity,c,X1)
    | product(c,a,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_52]),c_0_59]) ).

cnf(c_0_150,plain,
    add(additive_identity,X1) = X1,
    inference(spm,[status(thm)],[c_0_76,c_0_29]) ).

cnf(c_0_151,hypothesis,
    product(a,add(b,additive_inverse(c)),additive_identity),
    inference(spm,[status(thm)],[c_0_48,c_0_143]) ).

cnf(c_0_152,plain,
    ( ~ sum(additive_inverse(add(X2,X3)),X1,additive_inverse(X3))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_144,c_0_119]) ).

cnf(c_0_153,hypothesis,
    ( ~ sum(X3,X2,additive_identity)
    | ~ product(X3,X2,X1)
    | sum(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_145,c_0_37]) ).

cnf(c_0_154,hypothesis,
    product(additive_inverse(X1),X1,X1),
    inference(spm,[status(thm)],[c_0_48,c_0_146]) ).

cnf(c_0_155,hypothesis,
    ( ~ sum(X4,X2,X1)
    | ~ sum(X5,X2,X3)
    | ~ product(X4,X2,X5)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_147,c_0_37]) ).

cnf(c_0_156,hypothesis,
    product(b,multiply(c,a),multiply(b,a)),
    inference(spm,[status(thm)],[c_0_113,c_0_148]) ).

cnf(c_0_157,hypothesis,
    product(c,a,c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_29]),c_0_150]) ).

cnf(c_0_158,hypothesis,
    product(a,multiply(add(b,additive_inverse(c)),X1),additive_identity),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_151]),c_0_97]) ).

cnf(c_0_159,plain,
    ( ~ sum(additive_inverse(add(X2,additive_inverse(X3))),X1,X3)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_152,c_0_66]) ).

cnf(c_0_160,hypothesis,
    sum(X1,X1,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_27])]) ).

cnf(c_0_161,hypothesis,
    ( ~ sum(X4,X2,X1)
    | ~ sum(multiply(X4,X2),X2,X3)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_155,c_0_48]) ).

cnf(c_0_162,hypothesis,
    multiply(b,multiply(c,a)) = multiply(b,a),
    inference(spm,[status(thm)],[c_0_104,c_0_156]) ).

cnf(c_0_163,hypothesis,
    multiply(c,a) = c,
    inference(spm,[status(thm)],[c_0_104,c_0_157]) ).

cnf(c_0_164,hypothesis,
    multiply(a,multiply(add(b,additive_inverse(c)),X1)) = additive_identity,
    inference(spm,[status(thm)],[c_0_104,c_0_158]) ).

cnf(c_0_165,hypothesis,
    additive_inverse(X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_83]),c_0_34]) ).

cnf(c_0_166,hypothesis,
    ( ~ sum(multiply(X1,X2),X2,X3)
    | product(add(X1,X2),X2,X3) ),
    inference(spm,[status(thm)],[c_0_161,c_0_29]) ).

cnf(c_0_167,hypothesis,
    multiply(b,c) = multiply(b,a),
    inference(rw,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_168,hypothesis,
    ( ~ product(X2,multiply(X3,multiply(X2,X3)),X1)
    | X1 = multiply(X2,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_113]) ).

cnf(c_0_169,hypothesis,
    multiply(a,multiply(add(b,c),X1)) = additive_identity,
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_170,hypothesis,
    ( ~ sum(multiply(b,a),c,X1)
    | product(add(b,c),c,X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_171,plain,
    ( ~ sum(X1,X3,add(X3,X2))
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_50,c_0_43]) ).

cnf(c_0_172,hypothesis,
    product(multiply(X1,a),b,multiply(X1,c)),
    inference(spm,[status(thm)],[c_0_91,c_0_48]) ).

cnf(c_0_173,hypothesis,
    ( ~ product(add(b,c),additive_identity,X1)
    | X1 = multiply(add(b,c),a) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_174,hypothesis,
    product(add(b,c),c,add(c,multiply(b,a))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_29]),c_0_52]) ).

cnf(c_0_175,plain,
    add(additive_inverse(X1),add(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_51]),c_0_52]) ).

cnf(c_0_176,hypothesis,
    multiply(multiply(X1,a),b) = multiply(X1,c),
    inference(spm,[status(thm)],[c_0_104,c_0_172]) ).

cnf(c_0_177,hypothesis,
    multiply(add(b,c),a) = additive_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_48]),c_0_93]) ).

cnf(c_0_178,hypothesis,
    multiply(add(b,c),c) = add(c,multiply(b,a)),
    inference(spm,[status(thm)],[c_0_104,c_0_174]) ).

cnf(c_0_179,plain,
    add(X1,add(X1,X2)) = X2,
    inference(rw,[status(thm)],[c_0_175,c_0_165]) ).

cnf(c_0_180,hypothesis,
    add(c,multiply(b,a)) = additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_97]),c_0_178]) ).

cnf(c_0_181,negated_conjecture,
    ~ product(b,a,c),
    inference(fof_simplification,[status(thm)],[prove_b_times_a_is_c]) ).

cnf(c_0_182,hypothesis,
    multiply(b,a) = c,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_34]) ).

cnf(c_0_183,negated_conjecture,
    ~ product(b,a,c),
    c_0_181 ).

cnf(c_0_184,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_182]),c_0_183]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : RNG008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n014.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 04:10:19 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 9.29/1.70  % Version: 3.5.1
% 9.29/1.70  % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.29/1.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.29/1.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.29/1.70  % Starting new_bool_3 with 300s (1) cores
% 9.29/1.70  % Starting new_bool_1 with 300s (1) cores
% 9.29/1.70  % Starting sh5l with 300s (1) cores
% 9.29/1.70  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3104053 completed with status 0
% 9.29/1.70  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.29/1.70  % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.29/1.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.29/1.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.29/1.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.29/1.70  % No SInE strategy applied
% 9.29/1.70  % Search class: FHUSM-FFMF21-SFFFFFNN
% 9.29/1.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.29/1.70  % Starting SubtermCWHack with 136s (1) cores
% 9.29/1.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.29/1.70  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 10.02/1.70  % Starting new_bool_3 with 136s (1) cores
% 10.02/1.70  % Starting new_bool_1 with 136s (1) cores
% 10.02/1.70  % new_bool_1 with pid 3104064 completed with status 0
% 10.02/1.70  % Result found by new_bool_1
% 10.02/1.70  % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.02/1.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.02/1.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.02/1.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.02/1.70  % No SInE strategy applied
% 10.02/1.70  % Search class: FHUSM-FFMF21-SFFFFFNN
% 10.02/1.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.02/1.70  % Starting SubtermCWHack with 136s (1) cores
% 10.02/1.70  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.02/1.70  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 10.02/1.70  % Starting new_bool_3 with 136s (1) cores
% 10.02/1.70  % Starting new_bool_1 with 136s (1) cores
% 10.02/1.70  % Preprocessing time       : 0.001 s
% 10.02/1.70  % Presaturation interreduction done
% 10.02/1.70  
% 10.02/1.70  % Proof found!
% 10.02/1.70  % SZS status Unsatisfiable
% 10.02/1.70  % SZS output start CNFRefutation
% See solution above
% 10.02/1.70  % Parsed axioms                        : 22
% 10.02/1.70  % Removed by relevancy pruning/SinE    : 0
% 10.02/1.70  % Initial clauses                      : 22
% 10.02/1.70  % Removed in clause preprocessing      : 0
% 10.02/1.70  % Initial clauses in saturation        : 22
% 10.02/1.70  % Processed clauses                    : 8812
% 10.02/1.70  % ...of these trivial                  : 736
% 10.02/1.70  % ...subsumed                          : 5146
% 10.02/1.70  % ...remaining for further processing  : 2930
% 10.02/1.70  % Other redundant clauses eliminated   : 0
% 10.02/1.70  % Clauses deleted for lack of memory   : 0
% 10.02/1.70  % Backward-subsumed                    : 31
% 10.02/1.70  % Backward-rewritten                   : 1411
% 10.02/1.70  % Generated clauses                    : 41943
% 10.02/1.70  % ...of the previous two non-redundant : 31576
% 10.02/1.70  % ...aggressively subsumed             : 0
% 10.02/1.70  % Contextual simplify-reflections      : 0
% 10.02/1.70  % Paramodulations                      : 41943
% 10.02/1.70  % Factorizations                       : 0
% 10.02/1.70  % NegExts                              : 0
% 10.02/1.70  % Equation resolutions                 : 0
% 10.02/1.70  % Disequality decompositions           : 0
% 10.02/1.70  % Total rewrite steps                  : 29904
% 10.02/1.70  % ...of those cached                   : 28634
% 10.02/1.70  % Propositional unsat checks           : 0
% 10.02/1.70  %    Propositional check models        : 0
% 10.02/1.70  %    Propositional check unsatisfiable : 0
% 10.02/1.70  %    Propositional clauses             : 0
% 10.02/1.70  %    Propositional clauses after purity: 0
% 10.02/1.70  %    Propositional unsat core size     : 0
% 10.02/1.70  %    Propositional preprocessing time  : 0.000
% 10.02/1.70  %    Propositional encoding time       : 0.000
% 10.02/1.70  %    Propositional solver time         : 0.000
% 10.02/1.70  %    Success case prop preproc time    : 0.000
% 10.02/1.70  %    Success case prop encoding time   : 0.000
% 10.02/1.70  %    Success case prop solver time     : 0.000
% 10.02/1.70  % Current number of processed clauses  : 1466
% 10.02/1.70  %    Positive orientable unit clauses  : 229
% 10.02/1.70  %    Positive unorientable unit clauses: 1
% 10.02/1.70  %    Negative unit clauses             : 1
% 10.02/1.70  %    Non-unit-clauses                  : 1235
% 10.02/1.70  % Current number of unprocessed clauses: 20803
% 10.02/1.70  % ...number of literals in the above   : 46413
% 10.02/1.70  % Current number of archived formulas  : 0
% 10.02/1.70  % Current number of archived clauses   : 1464
% 10.02/1.70  % Clause-clause subsumption calls (NU) : 473574
% 10.02/1.70  % Rec. Clause-clause subsumption calls : 417340
% 10.02/1.70  % Non-unit clause-clause subsumptions  : 5132
% 10.02/1.70  % Unit Clause-clause subsumption calls : 869
% 10.02/1.70  % Rewrite failures with RHS unbound    : 0
% 10.02/1.70  % BW rewrite match attempts            : 3231
% 10.02/1.70  % BW rewrite match successes           : 148
% 10.02/1.70  % Condensation attempts                : 0
% 10.02/1.70  % Condensation successes               : 0
% 10.02/1.70  % Termbank termtop insertions          : 603260
% 10.02/1.70  % Search garbage collected termcells   : 69
% 10.02/1.70  
% 10.02/1.70  % -------------------------------------------------
% 10.02/1.70  % User time                : 1.213 s
% 10.02/1.70  % System time              : 0.045 s
% 10.02/1.70  % Total time               : 1.258 s
% 10.02/1.70  % Maximum resident set size: 3596 pages
% 10.02/1.70  
% 10.02/1.70  % -------------------------------------------------
% 10.02/1.70  % User time                : 5.855 s
% 10.02/1.70  % System time              : 0.184 s
% 10.02/1.70  % Total time               : 6.039 s
% 10.02/1.70  % Maximum resident set size: 4608 pages
% 10.02/1.70  % E exiting
%------------------------------------------------------------------------------