%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : REL025-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 5 05:04:19 PM UTC 2026
% Result : Unsatisfiable 9.32s 6.65s
% Output : CNFRefutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of clauses : 124 ( 124 unt; 0 nHn; 16 RR)
% Number of literals : 124 ( 123 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 197 ( 20 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(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(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(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_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
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(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(goals_15,negated_conjecture,
converse(sk1) != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
cnf(c_0_15,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_16,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_17,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_19,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).
cnf(c_0_20,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_21,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_22,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_24,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_25,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_27,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_29,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22]),c_0_26]) ).
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,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_32,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_33,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24]),c_0_21]) ).
cnf(c_0_34,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_35,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
complement(top) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_34]) ).
cnf(c_0_38,plain,
join(zero,meet(X1,top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_21]) ).
cnf(c_0_39,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_31]) ).
cnf(c_0_40,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(spm,[status(thm)],[c_0_31,c_0_37]) ).
cnf(c_0_41,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_34]) ).
cnf(c_0_42,plain,
join(zero,meet(top,X1)) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
meet(top,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
complement(complement(X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_31,c_0_29]) ).
cnf(c_0_45,plain,
join(zero,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
join(zero,meet(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_44]) ).
cnf(c_0_47,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_46]) ).
cnf(c_0_48,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_49,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_50,plain,
join(X1,join(X2,complement(X1))) = join(top,X2),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_51,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_52,plain,
join(zero,X1) = X1,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_48]) ).
cnf(c_0_54,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_55,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_49,c_0_16]) ).
cnf(c_0_56,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_52]) ).
cnf(c_0_58,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_53]) ).
cnf(c_0_59,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_26]),c_0_21]) ).
cnf(c_0_60,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_61,plain,
converse(join(X1,one)) = join(one,converse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_22]),c_0_21]) ).
cnf(c_0_62,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_55,c_0_24]) ).
cnf(c_0_63,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_48]),c_0_37]),c_0_57]) ).
cnf(c_0_64,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_35]),c_0_21]) ).
cnf(c_0_65,plain,
join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_60]),c_0_61]),c_0_60]) ).
cnf(c_0_66,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_62,c_0_51]) ).
cnf(c_0_67,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_68,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_63,c_0_23]) ).
cnf(c_0_69,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_70,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_63,c_0_21]) ).
cnf(c_0_71,plain,
join(X1,composition(X1,top)) = composition(X1,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_21]),c_0_51]) ).
cnf(c_0_72,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_67,c_0_21]) ).
cnf(c_0_73,plain,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
meet(X1,composition(X1,top)) = X1,
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
join(sk1,one) = one,
goals_14 ).
cnf(c_0_76,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_69]) ).
cnf(c_0_77,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_72]) ).
cnf(c_0_78,plain,
meet(X1,join(X2,composition(X1,top))) = X1,
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
composition(join(X1,one),top) = top,
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_80,plain,
meet(composition(X1,X2),composition(join(X3,X1),X2)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_81,negated_conjecture,
join(one,sk1) = one,
inference(rw,[status(thm)],[c_0_75,c_0_21]) ).
cnf(c_0_82,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
meet(X1,composition(join(X2,X1),top)) = X1,
inference(spm,[status(thm)],[c_0_78,c_0_54]) ).
cnf(c_0_84,plain,
join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_16]) ).
cnf(c_0_85,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_86,plain,
composition(join(one,X1),top) = top,
inference(spm,[status(thm)],[c_0_79,c_0_21]) ).
cnf(c_0_87,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_48,c_0_67]) ).
cnf(c_0_88,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_23]) ).
cnf(c_0_89,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_64]) ).
cnf(c_0_90,negated_conjecture,
meet(X1,composition(sk1,X1)) = composition(sk1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_26]),c_0_39]) ).
cnf(c_0_91,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_92,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_93,plain,
meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_82]),c_0_72]),c_0_48]),c_0_39]) ).
cnf(c_0_94,plain,
meet(composition(X1,X2),composition(X1,top)) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_95,plain,
complement(join(X1,join(X2,complement(X3)))) = meet(complement(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_67,c_0_23]) ).
cnf(c_0_96,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_87,c_0_48]) ).
cnf(c_0_97,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_39]) ).
cnf(c_0_98,plain,
join(X1,join(X2,meet(X1,X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_88,c_0_64]) ).
cnf(c_0_99,negated_conjecture,
join(X1,join(composition(sk1,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,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_91,c_0_92]),c_0_49]),c_0_15]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_101,plain,
meet(complement(composition(X1,top)),composition(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_34]) ).
cnf(c_0_102,plain,
complement(join(zero,zero)) = meet(top,top),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_103,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_29,c_0_37]) ).
cnf(c_0_104,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_67]),c_0_67]) ).
cnf(c_0_105,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_93]),c_0_87]),c_0_48]),c_0_39]),c_0_97]) ).
cnf(c_0_106,plain,
join(meet(X1,X2),complement(X2)) = join(complement(X2),X1),
inference(spm,[status(thm)],[c_0_98,c_0_77]) ).
cnf(c_0_107,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_69]),c_0_39]) ).
cnf(c_0_108,negated_conjecture,
join(X1,composition(sk1,join(X1,X2))) = join(X1,composition(sk1,X2)),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
composition(sk1,complement(composition(sk1,top))) = zero,
inference(spm,[status(thm)],[c_0_101,c_0_90]) ).
cnf(c_0_110,plain,
complement(zero) = meet(top,top),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_104,c_0_48]) ).
cnf(c_0_112,plain,
meet(X1,join(complement(X1),X2)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_113,negated_conjecture,
join(X1,composition(sk1,complement(X1))) = join(X1,composition(sk1,top)),
inference(spm,[status(thm)],[c_0_108,c_0_24]) ).
cnf(c_0_114,negated_conjecture,
composition(join(sk1,converse(sk1)),top) = composition(sk1,top),
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_25,c_0_109]),c_0_48]),c_0_110]),c_0_47]),c_0_54]),c_0_48]) ).
cnf(c_0_115,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_39]),c_0_111]) ).
cnf(c_0_116,negated_conjecture,
meet(composition(sk1,top),X1) = composition(sk1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_112]),c_0_48]),c_0_39]),c_0_90]) ).
cnf(c_0_117,plain,
meet(top,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_45]),c_0_48]) ).
cnf(c_0_118,negated_conjecture,
meet(converse(sk1),composition(sk1,top)) = converse(sk1),
inference(spm,[status(thm)],[c_0_83,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
meet(X1,composition(sk1,X2)) = composition(sk1,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116]) ).
cnf(c_0_120,plain,
meet(X1,top) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
composition(sk1,converse(sk1)) = converse(sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_122,negated_conjecture,
converse(sk1) != sk1,
goals_15 ).
cnf(c_0_123,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_121]),c_0_16]),c_0_121]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL025-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n021.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:42:10 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 9.32/6.65 % Version : CSE_E---1.7
% 9.32/6.65 % Problem : theBenchmark.p
% 9.32/6.65 % SZS status Unsatisfiable for theBenchmark.p
% 9.32/6.65 % SZS output start CNFRefutation
% See solution above
% 9.41/6.71 % Total time : 4.371s
%------------------------------------------------------------------------------