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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:45:47 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   13
% Syntax   : Number of clauses     :  102 (  62 unt;   0 nHn;  64 RR)
%            Number of literals    :  176 (  28 equ;  78 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :  180 (  36 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(divisor_existence,axiom,
    ( ~ quotient(X1,X2,X3)
    | less_equal(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).

cnf(quotient_property,axiom,
    ( ~ quotient(X3,X4,X8)
    | ~ quotient(X6,X5,X7)
    | ~ quotient(X1,X4,X6)
    | ~ quotient(X2,X4,X5)
    | ~ quotient(X1,X2,X3)
    | less_equal(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).

cnf(quotient_less_equal,axiom,
    ( ~ less_equal(X1,X2)
    | quotient(X1,X2,zero) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).

cnf(closure,axiom,
    quotient(X1,X2,divide(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).

cnf(zero_is_smallest,axiom,
    less_equal(zero,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).

cnf(less_equal_and_equal,axiom,
    ( ~ less_equal(X2,X1)
    | ~ less_equal(X1,X2)
    | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).

cnf(less_equal_quotient,axiom,
    ( ~ quotient(X1,X2,zero)
    | less_equal(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).

cnf(well_defined,axiom,
    ( ~ quotient(X1,X2,X4)
    | ~ quotient(X1,X2,X3)
    | X3 = X4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).

cnf(identity_is_largest,axiom,
    less_equal(X1,identity),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).

cnf(identity_divide_idQa,hypothesis,
    quotient(identity,idQa,idQ_idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).

cnf(identity_divide_a,hypothesis,
    quotient(identity,a,idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).

cnf(identity_divide_idQ_idQa,hypothesis,
    quotient(identity,idQ_idQa,idQ__idQ_idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).

cnf(prove_one_inversion_equals_three,negated_conjecture,
    idQa != idQ__idQ_idQa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).

cnf(c_0_13,plain,
    ( ~ quotient(X1,X2,X3)
    | less_equal(X3,X1) ),
    inference(fof_simplification,[status(thm)],[divisor_existence]) ).

cnf(c_0_14,plain,
    ( ~ quotient(X3,X4,X8)
    | ~ quotient(X6,X5,X7)
    | ~ quotient(X1,X4,X6)
    | ~ quotient(X2,X4,X5)
    | ~ quotient(X1,X2,X3)
    | less_equal(X7,X8) ),
    inference(fof_simplification,[status(thm)],[quotient_property]) ).

cnf(c_0_15,plain,
    ( ~ less_equal(X1,X2)
    | quotient(X1,X2,zero) ),
    inference(fof_simplification,[status(thm)],[quotient_less_equal]) ).

cnf(c_0_16,plain,
    ( ~ quotient(X1,X2,X3)
    | less_equal(X3,X1) ),
    c_0_13 ).

cnf(c_0_17,axiom,
    quotient(X1,X2,divide(X1,X2)),
    closure ).

cnf(c_0_18,plain,
    ( ~ quotient(X3,X4,X8)
    | ~ quotient(X6,X5,X7)
    | ~ quotient(X1,X4,X6)
    | ~ quotient(X2,X4,X5)
    | ~ quotient(X1,X2,X3)
    | less_equal(X7,X8) ),
    c_0_14 ).

cnf(c_0_19,plain,
    ( ~ less_equal(X1,X2)
    | quotient(X1,X2,zero) ),
    c_0_15 ).

cnf(c_0_20,plain,
    less_equal(divide(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( ~ quotient(X7,X6,X4)
    | ~ quotient(X7,X5,X1)
    | ~ quotient(X6,X5,X2)
    | ~ quotient(X4,X5,X3)
    | less_equal(divide(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_22,plain,
    quotient(divide(X1,X2),X1,zero),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,axiom,
    less_equal(zero,X1),
    zero_is_smallest ).

cnf(c_0_24,plain,
    ( ~ quotient(X3,X5,X1)
    | ~ quotient(X4,X5,X2)
    | ~ quotient(X3,X4,divide(X5,X6))
    | less_equal(divide(X1,X2),zero) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    quotient(zero,X1,zero),
    inference(spm,[status(thm)],[c_0_19,c_0_23]) ).

cnf(c_0_26,plain,
    ( ~ quotient(X2,X3,X1)
    | ~ quotient(X2,zero,divide(X3,X4))
    | less_equal(divide(X1,zero),zero) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,plain,
    ( ~ less_equal(X2,X1)
    | ~ less_equal(X1,X2)
    | X1 = X2 ),
    inference(fof_simplification,[status(thm)],[less_equal_and_equal]) ).

cnf(c_0_28,plain,
    ( ~ quotient(X1,zero,divide(X2,X3))
    | less_equal(divide(divide(X1,X2),zero),zero) ),
    inference(spm,[status(thm)],[c_0_26,c_0_17]) ).

cnf(c_0_29,plain,
    ( ~ less_equal(X2,X1)
    | ~ less_equal(X1,X2)
    | X1 = X2 ),
    c_0_27 ).

cnf(c_0_30,plain,
    less_equal(divide(divide(X1,X1),zero),zero),
    inference(spm,[status(thm)],[c_0_28,c_0_17]) ).

cnf(c_0_31,plain,
    ( ~ quotient(X1,X2,zero)
    | less_equal(X1,X2) ),
    inference(fof_simplification,[status(thm)],[less_equal_quotient]) ).

cnf(c_0_32,plain,
    divide(divide(X1,X1),zero) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_23])]) ).

cnf(c_0_33,plain,
    ( ~ quotient(X1,X2,zero)
    | less_equal(X1,X2) ),
    c_0_31 ).

cnf(c_0_34,plain,
    quotient(divide(X1,X1),zero,zero),
    inference(spm,[status(thm)],[c_0_17,c_0_32]) ).

cnf(c_0_35,plain,
    less_equal(divide(X1,X1),zero),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,plain,
    divide(X1,X1) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_23])]) ).

cnf(c_0_37,plain,
    quotient(X1,X1,zero),
    inference(spm,[status(thm)],[c_0_17,c_0_36]) ).

cnf(c_0_38,plain,
    ( ~ quotient(X5,X3,X4)
    | ~ quotient(X5,X4,X1)
    | ~ quotient(X3,X4,X2)
    | less_equal(divide(X1,X2),zero) ),
    inference(spm,[status(thm)],[c_0_21,c_0_37]) ).

cnf(c_0_39,plain,
    ( ~ quotient(X2,X3,X1)
    | ~ quotient(X2,zero,X3)
    | less_equal(divide(X1,zero),zero) ),
    inference(spm,[status(thm)],[c_0_38,c_0_25]) ).

cnf(c_0_40,plain,
    ( ~ quotient(X1,zero,X2)
    | less_equal(divide(divide(X1,X2),zero),zero) ),
    inference(spm,[status(thm)],[c_0_39,c_0_17]) ).

cnf(c_0_41,plain,
    less_equal(divide(divide(X1,divide(X1,zero)),zero),zero),
    inference(spm,[status(thm)],[c_0_40,c_0_17]) ).

cnf(c_0_42,plain,
    divide(divide(X1,divide(X1,zero)),zero) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_23])]) ).

cnf(c_0_43,plain,
    quotient(divide(X1,divide(X1,zero)),zero,zero),
    inference(spm,[status(thm)],[c_0_17,c_0_42]) ).

cnf(c_0_44,plain,
    less_equal(divide(X1,divide(X1,zero)),zero),
    inference(spm,[status(thm)],[c_0_33,c_0_43]) ).

cnf(c_0_45,plain,
    divide(X1,divide(X1,zero)) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_44]),c_0_23])]) ).

cnf(c_0_46,plain,
    quotient(X1,divide(X1,zero),zero),
    inference(spm,[status(thm)],[c_0_17,c_0_45]) ).

cnf(c_0_47,plain,
    ( ~ quotient(X1,X2,X4)
    | ~ quotient(X1,X2,X3)
    | X3 = X4 ),
    inference(fof_simplification,[status(thm)],[well_defined]) ).

cnf(c_0_48,axiom,
    less_equal(X1,identity),
    identity_is_largest ).

cnf(c_0_49,plain,
    ( ~ quotient(X4,X3,X1)
    | ~ quotient(X4,X2,divide(X3,X5))
    | less_equal(divide(X1,divide(X2,X3)),zero) ),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

cnf(c_0_50,hypothesis,
    quotient(identity,idQa,idQ_idQa),
    identity_divide_idQa ).

cnf(c_0_51,plain,
    less_equal(X1,divide(X1,zero)),
    inference(spm,[status(thm)],[c_0_33,c_0_46]) ).

cnf(c_0_52,plain,
    ( ~ quotient(X1,X2,X4)
    | ~ quotient(X1,X2,X3)
    | X3 = X4 ),
    c_0_47 ).

cnf(c_0_53,plain,
    quotient(X1,identity,zero),
    inference(spm,[status(thm)],[c_0_19,c_0_48]) ).

cnf(c_0_54,hypothesis,
    ( ~ quotient(identity,X1,divide(idQa,X2))
    | less_equal(divide(idQ_idQa,divide(X1,idQa)),zero) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    divide(X1,zero) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_51]),c_0_20])]) ).

cnf(c_0_56,hypothesis,
    ( ~ quotient(X2,idQa,X1)
    | ~ quotient(X2,identity,divide(idQa,X3))
    | less_equal(divide(X1,idQ_idQa),zero) ),
    inference(spm,[status(thm)],[c_0_24,c_0_50]) ).

cnf(c_0_57,plain,
    ( ~ quotient(X2,identity,X1)
    | X1 = zero ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,hypothesis,
    ( ~ quotient(identity,X1,idQa)
    | less_equal(divide(idQ_idQa,divide(X1,idQa)),zero) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,hypothesis,
    quotient(identity,a,idQa),
    identity_divide_a ).

cnf(c_0_60,hypothesis,
    ( ~ quotient(X1,identity,divide(idQa,X2))
    | less_equal(divide(divide(X1,idQa),idQ_idQa),zero) ),
    inference(spm,[status(thm)],[c_0_56,c_0_17]) ).

cnf(c_0_61,plain,
    divide(X1,identity) = zero,
    inference(spm,[status(thm)],[c_0_57,c_0_17]) ).

cnf(c_0_62,plain,
    ( ~ quotient(X6,X5,X3)
    | ~ quotient(X6,X4,X1)
    | ~ quotient(X5,X4,X2)
    | less_equal(divide(X1,X2),divide(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_17]) ).

cnf(c_0_63,hypothesis,
    less_equal(divide(idQ_idQa,divide(a,idQa)),zero),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,hypothesis,
    less_equal(divide(divide(X1,idQa),idQ_idQa),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_53])]) ).

cnf(c_0_65,plain,
    ( ~ quotient(X5,X2,X4)
    | ~ quotient(X5,X3,X1)
    | less_equal(divide(X1,divide(X2,X3)),divide(X4,X3)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_17]) ).

cnf(c_0_66,hypothesis,
    quotient(identity,idQ_idQa,idQ__idQ_idQa),
    identity_divide_idQ_idQa ).

cnf(c_0_67,plain,
    ( ~ quotient(X3,X5,X1)
    | ~ quotient(X4,X5,X2)
    | ~ quotient(X3,X4,zero)
    | less_equal(divide(X1,X2),zero) ),
    inference(spm,[status(thm)],[c_0_21,c_0_25]) ).

cnf(c_0_68,hypothesis,
    divide(idQ_idQa,divide(a,idQa)) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_63]),c_0_23])]) ).

cnf(c_0_69,hypothesis,
    divide(divide(X1,idQa),idQ_idQa) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_64]),c_0_23])]) ).

cnf(c_0_70,hypothesis,
    ( ~ quotient(identity,X1,X2)
    | less_equal(divide(idQ__idQ_idQa,divide(X1,idQ_idQa)),divide(X2,idQ_idQa)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_71,hypothesis,
    ( ~ quotient(X2,idQ_idQa,X1)
    | less_equal(divide(X1,idQ__idQ_idQa),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_53])]) ).

cnf(c_0_72,hypothesis,
    quotient(idQ_idQa,divide(a,idQa),zero),
    inference(spm,[status(thm)],[c_0_17,c_0_68]) ).

cnf(c_0_73,hypothesis,
    quotient(divide(X1,idQa),idQ_idQa,zero),
    inference(spm,[status(thm)],[c_0_17,c_0_69]) ).

cnf(c_0_74,hypothesis,
    ( ~ quotient(X2,a,X1)
    | less_equal(divide(X1,idQa),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_53])]) ).

cnf(c_0_75,hypothesis,
    less_equal(divide(idQ__idQ_idQa,divide(idQa,idQ_idQa)),zero),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_50]),c_0_36]) ).

cnf(c_0_76,hypothesis,
    less_equal(divide(divide(X1,idQ_idQa),idQ__idQ_idQa),zero),
    inference(spm,[status(thm)],[c_0_71,c_0_17]) ).

cnf(c_0_77,plain,
    ( ~ quotient(divide(X2,X3),X2,X1)
    | X1 = zero ),
    inference(spm,[status(thm)],[c_0_52,c_0_22]) ).

cnf(c_0_78,hypothesis,
    less_equal(idQ_idQa,divide(a,idQa)),
    inference(spm,[status(thm)],[c_0_33,c_0_72]) ).

cnf(c_0_79,hypothesis,
    less_equal(divide(X1,idQa),idQ_idQa),
    inference(spm,[status(thm)],[c_0_33,c_0_73]) ).

cnf(c_0_80,hypothesis,
    less_equal(divide(divide(X1,a),idQa),zero),
    inference(spm,[status(thm)],[c_0_74,c_0_17]) ).

cnf(c_0_81,hypothesis,
    divide(idQ__idQ_idQa,divide(idQa,idQ_idQa)) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_75]),c_0_23])]) ).

cnf(c_0_82,hypothesis,
    divide(divide(X1,idQ_idQa),idQ__idQ_idQa) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_76]),c_0_23])]) ).

cnf(c_0_83,plain,
    divide(divide(X1,X2),X1) = zero,
    inference(spm,[status(thm)],[c_0_77,c_0_17]) ).

cnf(c_0_84,hypothesis,
    divide(a,idQa) = idQ_idQa,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_78]),c_0_79])]) ).

cnf(c_0_85,hypothesis,
    divide(divide(X1,a),idQa) = zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_80]),c_0_23])]) ).

cnf(c_0_86,hypothesis,
    quotient(idQ__idQ_idQa,divide(idQa,idQ_idQa),zero),
    inference(spm,[status(thm)],[c_0_17,c_0_81]) ).

cnf(c_0_87,hypothesis,
    quotient(divide(X1,idQ_idQa),idQ__idQ_idQa,zero),
    inference(spm,[status(thm)],[c_0_17,c_0_82]) ).

cnf(c_0_88,hypothesis,
    ( ~ quotient(identity,X1,X2)
    | less_equal(divide(idQa,divide(X1,a)),divide(X2,a)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_59]) ).

cnf(c_0_89,hypothesis,
    divide(idQ_idQa,a) = zero,
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_90,hypothesis,
    quotient(divide(X1,a),idQa,zero),
    inference(spm,[status(thm)],[c_0_17,c_0_85]) ).

cnf(c_0_91,hypothesis,
    less_equal(idQ__idQ_idQa,divide(idQa,idQ_idQa)),
    inference(spm,[status(thm)],[c_0_33,c_0_86]) ).

cnf(c_0_92,hypothesis,
    less_equal(divide(X1,idQ_idQa),idQ__idQ_idQa),
    inference(spm,[status(thm)],[c_0_33,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    idQa != idQ__idQ_idQa,
    inference(fof_simplification,[status(thm)],[prove_one_inversion_equals_three]) ).

cnf(c_0_94,hypothesis,
    less_equal(idQa,divide(idQ__idQ_idQa,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_66]),c_0_89]),c_0_55]) ).

cnf(c_0_95,hypothesis,
    less_equal(divide(X1,a),idQa),
    inference(spm,[status(thm)],[c_0_33,c_0_90]) ).

cnf(c_0_96,plain,
    ( ~ less_equal(X1,divide(X1,X2))
    | divide(X1,X2) = X1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_20]) ).

cnf(c_0_97,hypothesis,
    divide(idQa,idQ_idQa) = idQ__idQ_idQa,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_91]),c_0_92])]) ).

cnf(c_0_98,negated_conjecture,
    idQa != idQ__idQ_idQa,
    c_0_93 ).

cnf(c_0_99,hypothesis,
    divide(idQ__idQ_idQa,a) = idQa,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_94]),c_0_95])]) ).

cnf(c_0_100,hypothesis,
    ~ less_equal(idQa,idQ__idQ_idQa),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).

cnf(c_0_101,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_99]),c_0_100]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n015.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 20 20:49:35 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 0.20/0.51  % Version: 3.5.1
% 0.20/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  % Starting sh5l with 300s (1) cores
% 0.20/0.51  % new_bool_3 with pid 3911837 completed with status 9
% 0.20/0.51  % new_bool_1 with pid 3911838 completed with status 9
% 0.20/0.51  % sh5l with pid 3911839 completed with status 9
% 0.20/0.51  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3911836 completed with status 0
% 0.20/0.51  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.51  % No SInE strategy applied
% 0.20/0.51  % Search class: FHUSS-FFSS22-SFFFFFNN
% 0.20/0.51  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.20/0.51  % Starting new_bool_3 with 136s (1) cores
% 0.20/0.51  % Starting new_bool_1 with 136s (1) cores
% 0.20/0.51  % new_bool_1 with pid 3911846 completed with status 0
% 0.20/0.51  % Result found by new_bool_1
% 0.20/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.51  % No SInE strategy applied
% 0.20/0.51  % Search class: FHUSS-FFSS22-SFFFFFNN
% 0.20/0.51  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.51  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.20/0.51  % Starting new_bool_3 with 136s (1) cores
% 0.20/0.51  % Starting new_bool_1 with 136s (1) cores
% 0.20/0.51  % Preprocessing time       : 0.001 s
% 0.20/0.51  % Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  % Proof found!
% 0.20/0.51  % SZS status Unsatisfiable
% 0.20/0.51  % SZS output start CNFRefutation
% See solution above
% 0.20/0.51  % Parsed axioms                        : 13
% 0.20/0.51  % Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  % Initial clauses                      : 13
% 0.20/0.51  % Removed in clause preprocessing      : 0
% 0.20/0.51  % Initial clauses in saturation        : 13
% 0.20/0.51  % Processed clauses                    : 1068
% 0.20/0.51  % ...of these trivial                  : 11
% 0.20/0.51  % ...subsumed                          : 527
% 0.20/0.51  % ...remaining for further processing  : 530
% 0.20/0.51  % Other redundant clauses eliminated   : 0
% 0.20/0.51  % Clauses deleted for lack of memory   : 0
% 0.20/0.51  % Backward-subsumed                    : 30
% 0.20/0.51  % Backward-rewritten                   : 118
% 0.20/0.51  % Generated clauses                    : 2765
% 0.20/0.51  % ...of the previous two non-redundant : 1656
% 0.20/0.51  % ...aggressively subsumed             : 0
% 0.20/0.51  % Contextual simplify-reflections      : 0
% 0.20/0.51  % Paramodulations                      : 2765
% 0.20/0.51  % Factorizations                       : 0
% 0.20/0.51  % NegExts                              : 0
% 0.20/0.51  % Equation resolutions                 : 0
% 0.20/0.51  % Disequality decompositions           : 0
% 0.20/0.51  % Total rewrite steps                  : 2204
% 0.20/0.51  % ...of those cached                   : 2003
% 0.20/0.51  % Propositional unsat checks           : 0
% 0.20/0.51  %    Propositional check models        : 0
% 0.20/0.51  %    Propositional check unsatisfiable : 0
% 0.20/0.51  %    Propositional clauses             : 0
% 0.20/0.51  %    Propositional clauses after purity: 0
% 0.20/0.51  %    Propositional unsat core size     : 0
% 0.20/0.51  %    Propositional preprocessing time  : 0.000
% 0.20/0.51  %    Propositional encoding time       : 0.000
% 0.20/0.51  %    Propositional solver time         : 0.000
% 0.20/0.51  %    Success case prop preproc time    : 0.000
% 0.20/0.51  %    Success case prop encoding time   : 0.000
% 0.20/0.51  %    Success case prop solver time     : 0.000
% 0.20/0.51  % Current number of processed clauses  : 369
% 0.20/0.51  %    Positive orientable unit clauses  : 50
% 0.20/0.51  %    Positive unorientable unit clauses: 0
% 0.20/0.51  %    Negative unit clauses             : 2
% 0.20/0.51  %    Non-unit-clauses                  : 317
% 0.20/0.51  % Current number of unprocessed clauses: 484
% 0.20/0.51  % ...number of literals in the above   : 1208
% 0.20/0.51  % Current number of archived formulas  : 0
% 0.20/0.51  % Current number of archived clauses   : 161
% 0.20/0.51  % Clause-clause subsumption calls (NU) : 21067
% 0.20/0.51  % Rec. Clause-clause subsumption calls : 17781
% 0.20/0.51  % Non-unit clause-clause subsumptions  : 556
% 0.20/0.51  % Unit Clause-clause subsumption calls : 314
% 0.20/0.51  % Rewrite failures with RHS unbound    : 0
% 0.20/0.51  % BW rewrite match attempts            : 352
% 0.20/0.51  % BW rewrite match successes           : 45
% 0.20/0.51  % Condensation attempts                : 0
% 0.20/0.51  % Condensation successes               : 0
% 0.20/0.51  % Termbank termtop insertions          : 37177
% 0.20/0.51  % Search garbage collected termcells   : 30
% 0.20/0.51  
% 0.20/0.51  % -------------------------------------------------
% 0.20/0.51  % User time                : 0.070 s
% 0.20/0.51  % System time              : 0.008 s
% 0.20/0.51  % Total time               : 0.078 s
% 0.20/0.51  % Maximum resident set size: 3624 pages
% 0.20/0.51  
% 0.20/0.51  % -------------------------------------------------
% 0.20/0.51  % User time                : 0.452 s
% 0.20/0.51  % System time              : 0.086 s
% 0.20/0.51  % Total time               : 0.538 s
% 0.20/0.51  % Maximum resident set size: 4864 pages
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------