TSTP Solution File: REL025-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : REL025-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 : Thu Aug 31 13:36:05 EDT 2023

% Result   : Unsatisfiable 1.00s 1.10s
% Output   : CNFRefutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  120 ( 111 unt;   9 typ;   0 def)
%            Number of atoms       :  111 ( 110 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            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;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    join: ( $i * $i ) > $i ).

tff(decl_23,type,
    complement: $i > $i ).

tff(decl_24,type,
    meet: ( $i * $i ) > $i ).

tff(decl_25,type,
    composition: ( $i * $i ) > $i ).

tff(decl_26,type,
    one: $i ).

tff(decl_27,type,
    converse: $i > $i ).

tff(decl_28,type,
    top: $i ).

tff(decl_29,type,
    zero: $i ).

tff(decl_30,type,
    sk1: $i ).

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,
    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_109,negated_conjecture,
    converse(sk1) != sk1,
    goals_15 ).

cnf(c_0_110,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_108]),c_0_20]),c_0_108]),c_0_109]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : REL025-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 18:27:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 1.00/1.10  % Version  : CSE_E---1.5
% 1.00/1.10  % Problem  : theBenchmark.p
% 1.00/1.10  % Proof found
% 1.00/1.10  % SZS status Theorem for theBenchmark.p
% 1.00/1.10  % SZS output start Proof
% See solution above
% 1.00/1.11  % Total time : 0.531000 s
% 1.00/1.11  % SZS output end Proof
% 1.00/1.11  % Total time : 0.534000 s
%------------------------------------------------------------------------------