TSTP Solution File: REL025-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : REL025-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 21 02:32:16 EDT 2024

% Result   : Unsatisfiable 3.27s 0.87s
% Output   : CNFRefutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  112 ( 112 unt;   0 nHn;  18 RR)
%            Number of literals    :  112 ( 111 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  162 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

cnf(converse_idempotence_8,axiom,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(composition_identity_6,axiom,
    composition(X1,one) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

cnf(converse_cancellativity_11,axiom,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).

cnf(maddux1_join_commutativity_1,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(def_zero_13,axiom,
    zero = meet(X1,complement(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

cnf(maddux4_definiton_of_meet_4,axiom,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).

cnf(def_top_12,axiom,
    top = join(X1,complement(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).

cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).

cnf(maddux2_join_associativity_2,axiom,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).

cnf(converse_additivity_9,axiom,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(composition_distributivity_7,axiom,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).

cnf(goals_14,negated_conjecture,
    join(sk1,one) = one,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

cnf(goals_15,negated_conjecture,
    converse(sk1) != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).

cnf(c_0_14,axiom,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    converse_multiplicativity_10 ).

cnf(c_0_15,axiom,
    converse(converse(X1)) = X1,
    converse_idempotence_8 ).

cnf(c_0_16,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,axiom,
    composition(X1,one) = X1,
    composition_identity_6 ).

cnf(c_0_18,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).

cnf(c_0_19,axiom,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    converse_cancellativity_11 ).

cnf(c_0_20,axiom,
    join(X1,X2) = join(X2,X1),
    maddux1_join_commutativity_1 ).

cnf(c_0_21,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,axiom,
    zero = meet(X1,complement(X1)),
    def_zero_13 ).

cnf(c_0_23,axiom,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    maddux4_definiton_of_meet_4 ).

cnf(c_0_24,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_18,c_0_21]) ).

cnf(c_0_26,plain,
    zero = complement(join(complement(X1),complement(complement(X1)))),
    inference(rw,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,axiom,
    top = join(X1,complement(X1)),
    def_top_12 ).

cnf(c_0_28,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),c_0_25]) ).

cnf(c_0_29,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,axiom,
    X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
    maddux3_a_kind_of_de_Morgan_3 ).

cnf(c_0_31,axiom,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    maddux2_join_associativity_2 ).

cnf(c_0_32,plain,
    join(zero,zero) = zero,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_30,c_0_20]) ).

cnf(c_0_34,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_28]),c_0_29]),c_0_20]) ).

cnf(c_0_36,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_37]) ).

cnf(c_0_39,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_31,c_0_38]) ).

cnf(c_0_40,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_31,c_0_27]) ).

cnf(c_0_41,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_20]) ).

cnf(c_0_42,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_39,c_0_20]) ).

cnf(c_0_43,plain,
    join(X1,join(X2,complement(X1))) = join(top,X2),
    inference(spm,[status(thm)],[c_0_40,c_0_20]) ).

cnf(c_0_44,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,axiom,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    converse_additivity_9 ).

cnf(c_0_46,plain,
    join(top,complement(complement(X1))) = join(X1,top),
    inference(spm,[status(thm)],[c_0_40,c_0_27]) ).

cnf(c_0_47,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_28]),c_0_27]) ).

cnf(c_0_48,plain,
    join(X1,join(complement(join(X2,complement(X1))),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_31,c_0_44]) ).

cnf(c_0_49,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_45,c_0_15]) ).

cnf(c_0_50,plain,
    join(X1,top) = top,
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,plain,
    join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_37]) ).

cnf(c_0_52,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = top,
    inference(spm,[status(thm)],[c_0_27,c_0_31]) ).

cnf(c_0_53,plain,
    join(X1,converse(complement(converse(X1)))) = converse(top),
    inference(spm,[status(thm)],[c_0_49,c_0_27]) ).

cnf(c_0_54,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_20,c_0_50]) ).

cnf(c_0_55,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    inference(spm,[status(thm)],[c_0_51,c_0_37]) ).

cnf(c_0_56,plain,
    join(X1,join(X2,complement(join(X2,X1)))) = top,
    inference(spm,[status(thm)],[c_0_52,c_0_20]) ).

cnf(c_0_57,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_36]) ).

cnf(c_0_58,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_44,c_0_37]) ).

cnf(c_0_59,plain,
    converse(top) = top,
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_60,plain,
    join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
    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_55,c_0_56]),c_0_29]),c_0_57]),c_0_31]),c_0_20]),c_0_58]) ).

cnf(c_0_61,plain,
    join(X1,converse(complement(converse(X1)))) = top,
    inference(rw,[status(thm)],[c_0_53,c_0_59]) ).

cnf(c_0_62,plain,
    join(X1,complement(converse(complement(converse(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_29]),c_0_57]) ).

cnf(c_0_63,axiom,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    composition_distributivity_7 ).

cnf(c_0_64,plain,
    join(X1,converse(complement(converse(complement(X1))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_62]),c_0_15]),c_0_15]) ).

cnf(c_0_65,plain,
    join(composition(X1,X2),join(composition(X3,X2),X4)) = join(composition(join(X1,X3),X2),X4),
    inference(spm,[status(thm)],[c_0_31,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    join(sk1,one) = one,
    goals_14 ).

cnf(c_0_67,plain,
    join(complement(X1),converse(complement(converse(X1)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_64,c_0_37]) ).

cnf(c_0_68,plain,
    join(composition(join(X1,X2),X3),complement(composition(X2,X3))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_27]),c_0_50]) ).

cnf(c_0_69,negated_conjecture,
    join(one,sk1) = one,
    inference(rw,[status(thm)],[c_0_66,c_0_20]) ).

cnf(c_0_70,plain,
    converse(join(one,X1)) = join(one,converse(X1)),
    inference(spm,[status(thm)],[c_0_45,c_0_21]) ).

cnf(c_0_71,plain,
    complement(converse(complement(converse(X1)))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_67]),c_0_37]),c_0_20]),c_0_62]) ).

cnf(c_0_72,plain,
    join(X1,join(complement(X1),X2)) = top,
    inference(rw,[status(thm)],[c_0_40,c_0_54]) ).

cnf(c_0_73,plain,
    join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_25]),c_0_20]) ).

cnf(c_0_74,plain,
    join(X1,join(complement(join(X1,X2)),X3)) = join(X1,join(complement(X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_31]) ).

cnf(c_0_75,negated_conjecture,
    join(X1,complement(composition(sk1,X1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_25]) ).

cnf(c_0_76,plain,
    converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
    inference(spm,[status(thm)],[c_0_45,c_0_16]) ).

cnf(c_0_77,plain,
    join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
    inference(spm,[status(thm)],[c_0_63,c_0_14]) ).

cnf(c_0_78,negated_conjecture,
    join(one,converse(sk1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_21]) ).

cnf(c_0_79,plain,
    converse(complement(converse(X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_37,c_0_71]) ).

cnf(c_0_80,plain,
    join(X1,composition(join(X2,one),complement(X1))) = top,
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    join(X1,join(composition(sk1,X1),X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_29]),c_0_36]),c_0_37]) ).

cnf(c_0_82,plain,
    join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
    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_76,c_0_77]),c_0_45]),c_0_14]),c_0_15]),c_0_15]),c_0_15]) ).

cnf(c_0_83,negated_conjecture,
    join(X1,complement(composition(converse(sk1),X1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_78]),c_0_25]) ).

cnf(c_0_84,plain,
    converse(complement(X1)) = complement(converse(X1)),
    inference(spm,[status(thm)],[c_0_15,c_0_79]) ).

cnf(c_0_85,plain,
    join(X1,composition(top,complement(X1))) = top,
    inference(spm,[status(thm)],[c_0_80,c_0_54]) ).

cnf(c_0_86,negated_conjecture,
    join(X1,composition(sk1,join(X1,X2))) = join(X1,composition(sk1,X2)),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_87,plain,
    join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_14]),c_0_15]) ).

cnf(c_0_88,plain,
    converse(composition(top,X1)) = composition(converse(X1),top),
    inference(spm,[status(thm)],[c_0_16,c_0_59]) ).

cnf(c_0_89,negated_conjecture,
    join(X1,complement(composition(X1,sk1))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_83]),c_0_59]),c_0_14]),c_0_84]),c_0_15]) ).

cnf(c_0_90,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_31]) ).

cnf(c_0_91,plain,
    join(complement(X1),composition(top,X1)) = top,
    inference(spm,[status(thm)],[c_0_85,c_0_37]) ).

cnf(c_0_92,negated_conjecture,
    join(X1,composition(sk1,complement(X1))) = join(X1,composition(sk1,top)),
    inference(spm,[status(thm)],[c_0_86,c_0_27]) ).

cnf(c_0_93,plain,
    composition(X1,complement(composition(converse(X1),top))) = zero,
    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_87,c_0_88]),c_0_59]),c_0_29]),c_0_36]),c_0_59]),c_0_29]) ).

cnf(c_0_94,negated_conjecture,
    join(X1,join(composition(X1,sk1),X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_89]),c_0_29]),c_0_36]),c_0_37]) ).

cnf(c_0_95,plain,
    join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
    inference(spm,[status(thm)],[c_0_31,c_0_20]) ).

cnf(c_0_96,plain,
    join(complement(X1),join(X2,composition(top,X1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_50]) ).

cnf(c_0_97,plain,
    converse(composition(X1,top)) = composition(top,converse(X1)),
    inference(spm,[status(thm)],[c_0_14,c_0_59]) ).

cnf(c_0_98,negated_conjecture,
    composition(join(sk1,converse(sk1)),top) = composition(converse(sk1),top),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_57]),c_0_63]),c_0_20]) ).

cnf(c_0_99,plain,
    converse(join(X1,converse(X2))) = join(converse(X1),X2),
    inference(spm,[status(thm)],[c_0_45,c_0_15]) ).

cnf(c_0_100,negated_conjecture,
    join(X1,join(X2,composition(X1,sk1))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_94]),c_0_31]),c_0_42]),c_0_95]) ).

cnf(c_0_101,plain,
    join(complement(X1),join(X2,X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_33]),c_0_31]) ).

cnf(c_0_102,plain,
    join(complement(X1),composition(top,join(X2,X1))) = top,
    inference(spm,[status(thm)],[c_0_96,c_0_82]) ).

cnf(c_0_103,negated_conjecture,
    composition(top,join(sk1,converse(sk1))) = composition(top,sk1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_97]),c_0_15]),c_0_99]),c_0_20]) ).

cnf(c_0_104,negated_conjecture,
    join(X1,composition(join(X2,X1),sk1)) = join(X1,composition(X2,sk1)),
    inference(spm,[status(thm)],[c_0_100,c_0_63]) ).

cnf(c_0_105,negated_conjecture,
    join(one,complement(converse(sk1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_78]),c_0_20]) ).

cnf(c_0_106,negated_conjecture,
    join(composition(top,sk1),complement(converse(sk1))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_20]) ).

cnf(c_0_107,negated_conjecture,
    join(sk1,complement(converse(sk1))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_20]),c_0_106]),c_0_25]),c_0_20]) ).

cnf(c_0_108,negated_conjecture,
    converse(sk1) != sk1,
    inference(fof_simplification,[status(thm)],[goals_15]) ).

cnf(c_0_109,negated_conjecture,
    join(sk1,converse(sk1)) = sk1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_107]),c_0_29]),c_0_57]),c_0_37]) ).

cnf(c_0_110,negated_conjecture,
    converse(sk1) != sk1,
    c_0_108 ).

cnf(c_0_111,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_109]),c_0_20]),c_0_109]),c_0_110]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : REL025-1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon May 20 08:03:08 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.46  Running first-order model finding
% 0.17/0.46  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.27/0.87  # Version: 3.1.0
% 3.27/0.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.27/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.27/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.27/0.87  # Starting new_bool_3 with 300s (1) cores
% 3.27/0.87  # Starting new_bool_1 with 300s (1) cores
% 3.27/0.87  # Starting sh5l with 300s (1) cores
% 3.27/0.87  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6668 completed with status 0
% 3.27/0.87  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.27/0.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.27/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.27/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.27/0.87  # No SInE strategy applied
% 3.27/0.87  # Search class: FUUPM-FFSF21-MFFFFFNN
% 3.27/0.87  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.27/0.87  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 3.27/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.27/0.87  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 3.27/0.87  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 3.27/0.87  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 3.27/0.87  # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 6677 completed with status 0
% 3.27/0.87  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 3.27/0.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.27/0.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.27/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.27/0.87  # No SInE strategy applied
% 3.27/0.87  # Search class: FUUPM-FFSF21-MFFFFFNN
% 3.27/0.87  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.27/0.87  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 3.27/0.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.27/0.87  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 3.27/0.87  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 3.27/0.87  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 3.27/0.87  # Preprocessing time       : 0.001 s
% 3.27/0.87  # Presaturation interreduction done
% 3.27/0.87  
% 3.27/0.87  # Proof found!
% 3.27/0.87  # SZS status Unsatisfiable
% 3.27/0.87  # SZS output start CNFRefutation
% See solution above
% 3.27/0.88  # Parsed axioms                        : 15
% 3.27/0.88  # Removed by relevancy pruning/SinE    : 0
% 3.27/0.88  # Initial clauses                      : 15
% 3.27/0.88  # Removed in clause preprocessing      : 1
% 3.27/0.88  # Initial clauses in saturation        : 14
% 3.27/0.88  # Processed clauses                    : 2573
% 3.27/0.88  # ...of these trivial                  : 1560
% 3.27/0.88  # ...subsumed                          : 479
% 3.27/0.88  # ...remaining for further processing  : 534
% 3.27/0.88  # Other redundant clauses eliminated   : 0
% 3.27/0.88  # Clauses deleted for lack of memory   : 0
% 3.27/0.88  # Backward-subsumed                    : 0
% 3.27/0.88  # Backward-rewritten                   : 114
% 3.27/0.88  # Generated clauses                    : 60359
% 3.27/0.88  # ...of the previous two non-redundant : 27601
% 3.27/0.88  # ...aggressively subsumed             : 0
% 3.27/0.88  # Contextual simplify-reflections      : 0
% 3.27/0.88  # Paramodulations                      : 60359
% 3.27/0.88  # Factorizations                       : 0
% 3.27/0.88  # NegExts                              : 0
% 3.27/0.88  # Equation resolutions                 : 0
% 3.27/0.88  # Disequality decompositions           : 0
% 3.27/0.88  # Total rewrite steps                  : 116234
% 3.27/0.88  # ...of those cached                   : 99385
% 3.27/0.88  # Propositional unsat checks           : 0
% 3.27/0.88  #    Propositional check models        : 0
% 3.27/0.88  #    Propositional check unsatisfiable : 0
% 3.27/0.88  #    Propositional clauses             : 0
% 3.27/0.88  #    Propositional clauses after purity: 0
% 3.27/0.88  #    Propositional unsat core size     : 0
% 3.27/0.88  #    Propositional preprocessing time  : 0.000
% 3.27/0.88  #    Propositional encoding time       : 0.000
% 3.27/0.88  #    Propositional solver time         : 0.000
% 3.27/0.88  #    Success case prop preproc time    : 0.000
% 3.27/0.88  #    Success case prop encoding time   : 0.000
% 3.27/0.88  #    Success case prop solver time     : 0.000
% 3.27/0.88  # Current number of processed clauses  : 406
% 3.27/0.88  #    Positive orientable unit clauses  : 400
% 3.27/0.88  #    Positive unorientable unit clauses: 5
% 3.27/0.88  #    Negative unit clauses             : 1
% 3.27/0.88  #    Non-unit-clauses                  : 0
% 3.27/0.88  # Current number of unprocessed clauses: 24679
% 3.27/0.88  # ...number of literals in the above   : 24679
% 3.27/0.88  # Current number of archived formulas  : 0
% 3.27/0.88  # Current number of archived clauses   : 129
% 3.27/0.88  # Clause-clause subsumption calls (NU) : 0
% 3.27/0.88  # Rec. Clause-clause subsumption calls : 0
% 3.27/0.88  # Non-unit clause-clause subsumptions  : 0
% 3.27/0.88  # Unit Clause-clause subsumption calls : 24
% 3.27/0.88  # Rewrite failures with RHS unbound    : 0
% 3.27/0.88  # BW rewrite match attempts            : 1897
% 3.27/0.88  # BW rewrite match successes           : 262
% 3.27/0.88  # Condensation attempts                : 0
% 3.27/0.88  # Condensation successes               : 0
% 3.27/0.88  # Termbank termtop insertions          : 690539
% 3.27/0.88  # Search garbage collected termcells   : 2
% 3.27/0.88  
% 3.27/0.88  # -------------------------------------------------
% 3.27/0.88  # User time                : 0.363 s
% 3.27/0.88  # System time              : 0.024 s
% 3.27/0.88  # Total time               : 0.387 s
% 3.27/0.88  # Maximum resident set size: 1632 pages
% 3.27/0.88  
% 3.27/0.88  # -------------------------------------------------
% 3.27/0.88  # User time                : 1.863 s
% 3.27/0.88  # System time              : 0.097 s
% 3.27/0.88  # Total time               : 1.960 s
% 3.27/0.88  # Maximum resident set size: 1704 pages
% 3.27/0.88  % E---3.1 exiting
%------------------------------------------------------------------------------