TSTP Solution File: REL015+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 Aug 22 10:54:28 EDT 2023
% Result : Theorem 12.83s 4.49s
% Output : CNFRefutation 13.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 21
% Syntax : Number of formulae : 131 ( 123 unt; 8 typ; 0 def)
% Number of atoms : 123 ( 122 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 133 (; 133 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > one
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(top,type,
top: $i ).
tff(converse,type,
converse: $i > $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(composition,type,
composition: ( $i * $i ) > $i ).
tff(complement,type,
complement: $i > $i ).
tff(one,type,
one: $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(zero,type,
zero: $i ).
tff(f_84,negated_conjecture,
composition(top,top) != top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tff(f_78,axiom,
! [X0] : ( top = join(X0,complement(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
tff(f_69,axiom,
! [X0] : ( converse(converse(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
tff(f_71,axiom,
! [X0,X1] : ( converse(join(X0,X1)) = join(converse(X0),converse(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
tff(f_53,axiom,
! [X0,X1] : ( join(X0,X1) = join(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
tff(f_80,axiom,
! [X0] : ( zero = meet(X0,complement(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
tff(f_59,axiom,
! [X0,X1] : ( meet(X0,X1) = complement(join(complement(X0),complement(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
tff(f_57,axiom,
! [X0,X1] : ( X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
tff(f_55,axiom,
! [X0,X1,X2] : ( join(X0,join(X1,X2)) = join(join(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
tff(f_73,axiom,
! [X0,X1] : ( converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
tff(f_75,axiom,
! [X0,X1] : ( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
tff(f_66,axiom,
! [X0,X1,X2] : ( composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
tff(f_64,axiom,
! [X0] : ( composition(X0,one) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).
tff(c_28,plain,
composition(top,top) != top,
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_24,plain,
! [X0_24] : ( join(X0_24,complement(X0_24)) = top ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_16,plain,
! [X0_17] : ( converse(converse(X0_17)) = X0_17 ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_118,plain,
! [X0_34,X1_35] : ( join(converse(X0_34),converse(X1_35)) = converse(join(X0_34,X1_35)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_4519,plain,
! [X0_117,X1_118] : ( converse(join(converse(X0_117),X1_118)) = join(X0_117,converse(X1_118)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_118]) ).
tff(c_5294,plain,
! [X0_125] : ( join(X0_125,converse(complement(converse(X0_125)))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_4519]) ).
tff(c_2,plain,
! [X1_2,X0_1] : ( join(X1_2,X0_1) = join(X0_1,X1_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_26,plain,
! [X0_25] : ( meet(X0_25,complement(X0_25)) = zero ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_145,plain,
! [X0_36,X1_37] : ( complement(join(complement(X0_36),complement(X1_37))) = meet(X0_36,X1_37) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_179,plain,
! [X0_36] : ( meet(X0_36,complement(X0_36)) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_145]) ).
tff(c_182,plain,
complement(top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_179]) ).
tff(c_8,plain,
! [X0_8,X1_9] : ( complement(join(complement(X0_8),complement(X1_9))) = meet(X0_8,X1_9) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_6,plain,
! [X0_6,X1_7] : ( join(complement(join(complement(X0_6),complement(X1_7))),complement(join(complement(X0_6),X1_7))) = X0_6 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_560,plain,
! [X0_53,X1_54] : ( join(meet(X0_53,X1_54),complement(join(complement(X0_53),X1_54))) = X0_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_614,plain,
! [X0_53] : ( join(meet(X0_53,complement(complement(X0_53))),complement(top)) = X0_53 ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_560]) ).
tff(c_625,plain,
! [X0_53] : ( join(zero,meet(X0_53,complement(complement(X0_53)))) = X0_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_182,c_614]) ).
tff(c_225,plain,
join(top,zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_182,c_24]) ).
tff(c_317,plain,
! [X0_44,X1_45,X2_46] : ( join(join(X0_44,X1_45),X2_46) = join(X0_44,join(X1_45,X2_46)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_525,plain,
! [X2_52] : ( join(top,join(zero,X2_52)) = join(top,X2_52) ),
inference(superposition,[status(thm),theory(equality)],[c_225,c_317]) ).
tff(c_546,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_525]) ).
tff(c_222,plain,
! [X0_8] : ( complement(join(complement(X0_8),zero)) = meet(X0_8,top) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_8]) ).
tff(c_390,plain,
! [X0_47] : ( complement(join(zero,complement(X0_47))) = meet(X0_47,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_222]) ).
tff(c_439,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm),theory(equality)],[c_24,c_390]) ).
tff(c_443,plain,
meet(zero,top) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_439]) ).
tff(c_581,plain,
join(zero,complement(join(complement(zero),top))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_443,c_560]) ).
tff(c_623,plain,
join(zero,complement(join(top,top))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_2,c_581]) ).
tff(c_342,plain,
! [X2_46] : ( join(top,join(zero,X2_46)) = join(top,X2_46) ),
inference(superposition,[status(thm),theory(equality)],[c_225,c_317]) ).
tff(c_646,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm),theory(equality)],[c_623,c_342]) ).
tff(c_658,plain,
join(top,complement(join(top,top))) = top,
inference(demodulation,[status(thm),theory(equality)],[c_225,c_646]) ).
tff(c_231,plain,
! [X0_8] : ( complement(join(zero,complement(X0_8))) = meet(X0_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_222]) ).
tff(c_649,plain,
meet(join(top,top),top) = complement(zero),
inference(superposition,[status(thm),theory(equality)],[c_623,c_231]) ).
tff(c_29,plain,
! [X0_6,X1_7] : ( join(meet(X0_6,X1_7),complement(join(complement(X0_6),X1_7))) = X0_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).
tff(c_738,plain,
join(complement(zero),complement(join(complement(join(top,top)),top))) = join(top,top),
inference(superposition,[status(thm),theory(equality)],[c_649,c_29]) ).
tff(c_747,plain,
join(top,top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_182,c_2,c_658,c_2,c_738]) ).
tff(c_754,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_747,c_623]) ).
tff(c_757,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_754]) ).
tff(c_4,plain,
! [X0_3,X1_4,X2_5] : ( join(join(X0_3,X1_4),X2_5) = join(X0_3,join(X1_4,X2_5)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_1188,plain,
! [X2_67] : ( join(zero,join(zero,X2_67)) = join(zero,X2_67) ),
inference(superposition,[status(thm),theory(equality)],[c_757,c_4]) ).
tff(c_1212,plain,
! [X0_53] : ( join(zero,meet(X0_53,complement(complement(X0_53)))) = join(zero,X0_53) ),
inference(superposition,[status(thm),theory(equality)],[c_625,c_1188]) ).
tff(c_1247,plain,
! [X0_68] : ( join(zero,X0_68) = X0_68 ),
inference(demodulation,[status(thm),theory(equality)],[c_625,c_1212]) ).
tff(c_1276,plain,
complement(zero) = top,
inference(superposition,[status(thm),theory(equality)],[c_1247,c_24]) ).
tff(c_1238,plain,
! [X0_53] : ( join(zero,X0_53) = X0_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_625,c_1212]) ).
tff(c_1332,plain,
! [X1_9] : ( complement(join(top,complement(X1_9))) = meet(zero,X1_9) ),
inference(superposition,[status(thm),theory(equality)],[c_1276,c_8]) ).
tff(c_761,plain,
! [X2_5] : ( join(top,join(top,X2_5)) = join(top,X2_5) ),
inference(superposition,[status(thm),theory(equality)],[c_747,c_4]) ).
tff(c_891,plain,
! [X1_60,X0_61] : ( complement(join(complement(X1_60),complement(X0_61))) = meet(X0_61,X1_60) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_145]) ).
tff(c_927,plain,
! [X1_60,X0_61] : ( meet(X1_60,X0_61) = meet(X0_61,X1_60) ),
inference(superposition,[status(thm),theory(equality)],[c_891,c_8]) ).
tff(c_362,plain,
! [X0_24,X2_46] : ( join(X0_24,join(complement(X0_24),X2_46)) = join(top,X2_46) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_317]) ).
tff(c_219,plain,
! [X1_9] : ( complement(join(zero,complement(X1_9))) = meet(top,X1_9) ),
inference(superposition,[status(thm),theory(equality)],[c_182,c_8]) ).
tff(c_1246,plain,
! [X1_9] : ( complement(complement(X1_9)) = meet(top,X1_9) ),
inference(demodulation,[status(thm),theory(equality)],[c_1238,c_219]) ).
tff(c_1260,plain,
! [X0_53] : ( meet(X0_53,complement(complement(X0_53))) = X0_53 ),
inference(superposition,[status(thm),theory(equality)],[c_1247,c_625]) ).
tff(c_1883,plain,
! [X0_53] : ( meet(X0_53,meet(top,X0_53)) = X0_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_1246,c_1260]) ).
tff(c_1688,plain,
! [X1_75] : ( complement(complement(X1_75)) = meet(top,X1_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_1238,c_219]) ).
tff(c_979,plain,
! [X1_60] : ( meet(complement(X1_60),X1_60) = complement(top) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_891]) ).
tff(c_987,plain,
! [X1_60] : ( meet(complement(X1_60),X1_60) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_979]) ).
tff(c_2127,plain,
! [X1_82] : ( meet(meet(top,X1_82),complement(X1_82)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_1688,c_987]) ).
tff(c_2138,plain,
! [X1_82] : ( join(zero,complement(join(complement(meet(top,X1_82)),complement(X1_82)))) = meet(top,X1_82) ),
inference(superposition,[status(thm),theory(equality)],[c_2127,c_29]) ).
tff(c_2195,plain,
! [X1_82] : ( meet(top,X1_82) = X1_82 ),
inference(demodulation,[status(thm),theory(equality)],[c_1883,c_1238,c_8,c_2,c_2138]) ).
tff(c_2210,plain,
! [X1_9] : ( complement(complement(X1_9)) = X1_9 ),
inference(demodulation,[status(thm),theory(equality)],[c_2195,c_1246]) ).
tff(c_1245,plain,
! [X0_8] : ( complement(complement(X0_8)) = meet(X0_8,top) ),
inference(demodulation,[status(thm),theory(equality)],[c_1238,c_231]) ).
tff(c_2282,plain,
! [X0_8] : ( meet(X0_8,top) = X0_8 ),
inference(demodulation,[status(thm),theory(equality)],[c_2210,c_1245]) ).
tff(c_2713,plain,
! [X0_91,X1_92] : ( join(meet(X0_91,complement(X1_92)),meet(X0_91,X1_92)) = X0_91 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_560]) ).
tff(c_2760,plain,
! [X0_91] : ( join(meet(X0_91,top),meet(X0_91,zero)) = X0_91 ),
inference(superposition,[status(thm),theory(equality)],[c_1276,c_2713]) ).
tff(c_2817,plain,
! [X0_93] : ( join(X0_93,meet(X0_93,zero)) = X0_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_2282,c_2760]) ).
tff(c_366,plain,
! [X0_44,X1_45] : ( join(X0_44,join(X1_45,complement(join(X0_44,X1_45)))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_317]) ).
tff(c_2827,plain,
! [X0_93] : ( join(X0_93,join(meet(X0_93,zero),complement(X0_93))) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2817,c_366]) ).
tff(c_2892,plain,
! [X0_94] : ( join(top,meet(X0_94,zero)) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_2,c_2827]) ).
tff(c_2925,plain,
! [X0_61] : ( join(top,meet(zero,X0_61)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_927,c_2892]) ).
tff(c_3721,plain,
! [X1_106] : ( complement(join(top,complement(X1_106))) = meet(zero,X1_106) ),
inference(superposition,[status(thm),theory(equality)],[c_1276,c_8]) ).
tff(c_3724,plain,
! [X1_106] : ( meet(zero,join(top,complement(X1_106))) = complement(join(top,meet(zero,X1_106))) ),
inference(superposition,[status(thm),theory(equality)],[c_3721,c_1332]) ).
tff(c_3803,plain,
! [X1_107] : ( meet(zero,join(top,complement(X1_107))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_2925,c_3724]) ).
tff(c_3821,plain,
! [X1_107] : ( join(zero,complement(join(complement(zero),join(top,complement(X1_107))))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_3803,c_29]) ).
tff(c_3861,plain,
! [X1_108] : ( meet(zero,X1_108) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_1332,c_1238,c_761,c_1276,c_3821]) ).
tff(c_3901,plain,
! [X1_108] : ( join(zero,complement(join(complement(zero),X1_108))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_3861,c_29]) ).
tff(c_4022,plain,
! [X1_110] : ( complement(join(top,X1_110)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_1238,c_1276,c_3901]) ).
tff(c_4033,plain,
! [X1_110] : ( join(top,X1_110) = complement(zero) ),
inference(superposition,[status(thm),theory(equality)],[c_4022,c_2210]) ).
tff(c_4098,plain,
! [X1_110] : ( join(top,X1_110) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1276,c_4033]) ).
tff(c_5312,plain,
converse(top) = top,
inference(superposition,[status(thm),theory(equality)],[c_5294,c_4098]) ).
tff(c_20,plain,
! [X1_21,X0_20] : ( composition(converse(X1_21),converse(X0_20)) = converse(composition(X0_20,X1_21)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_24289,plain,
! [X1_267] : ( composition(converse(X1_267),top) = converse(composition(top,X1_267)) ),
inference(superposition,[status(thm),theory(equality)],[c_5312,c_20]) ).
tff(c_24340,plain,
converse(composition(top,top)) = composition(top,top),
inference(superposition,[status(thm),theory(equality)],[c_5312,c_24289]) ).
tff(c_1296,plain,
! [X0_1] : ( join(X0_1,zero) = X0_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1247]) ).
tff(c_4607,plain,
! [X0_117] : ( join(X0_117,converse(zero)) = converse(converse(X0_117)) ),
inference(superposition,[status(thm),theory(equality)],[c_1296,c_4519]) ).
tff(c_4643,plain,
! [X0_119] : ( join(X0_119,converse(zero)) = X0_119 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4607]) ).
tff(c_4678,plain,
converse(zero) = zero,
inference(superposition,[status(thm),theory(equality)],[c_4643,c_1238]) ).
tff(c_660,plain,
! [X0_56,X1_57] : ( join(composition(converse(X0_56),complement(composition(X0_56,X1_57))),complement(X1_57)) = complement(X1_57) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_699,plain,
! [X1_21,X0_20] : ( join(composition(converse(converse(X1_21)),complement(converse(composition(X0_20,X1_21)))),complement(converse(X0_20))) = complement(converse(X0_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_660]) ).
tff(c_719,plain,
! [X0_20,X1_21] : ( join(complement(converse(X0_20)),composition(X1_21,complement(converse(composition(X0_20,X1_21))))) = complement(converse(X0_20)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16,c_699]) ).
tff(c_24401,plain,
join(complement(converse(top)),composition(top,complement(composition(top,top)))) = complement(converse(top)),
inference(superposition,[status(thm),theory(equality)],[c_24340,c_719]) ).
tff(c_24496,plain,
composition(top,complement(composition(top,top))) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_5312,c_1238,c_182,c_5312,c_24401]) ).
tff(c_4123,plain,
! [X1_111] : ( join(top,X1_111) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_1276,c_4033]) ).
tff(c_4153,plain,
! [X1_111] : ( join(X1_111,top) = top ),
inference(superposition,[status(thm),theory(equality)],[c_4123,c_2]) ).
tff(c_448,plain,
! [X0_48,X2_49,X1_50] : ( join(composition(X0_48,X2_49),composition(X1_50,X2_49)) = composition(join(X0_48,X1_50),X2_49) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_460,plain,
! [X1_50,X2_49,X0_48] : ( join(composition(X1_50,X2_49),composition(X0_48,X2_49)) = composition(join(X0_48,X1_50),X2_49) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_2]) ).
tff(c_24521,plain,
! [X0_48] : ( join(zero,composition(X0_48,complement(composition(top,top)))) = composition(join(X0_48,top),complement(composition(top,top))) ),
inference(superposition,[status(thm),theory(equality)],[c_24496,c_460]) ).
tff(c_24583,plain,
! [X0_268] : ( composition(X0_268,complement(composition(top,top))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_24496,c_4153,c_1238,c_24521]) ).
tff(c_12,plain,
! [X0_13] : ( composition(X0_13,one) = X0_13 ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_103,plain,
! [X1_32,X0_33] : ( composition(converse(X1_32),converse(X0_33)) = converse(composition(X0_33,X1_32)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_4282,plain,
! [X0_113,X1_114] : ( converse(composition(converse(X0_113),X1_114)) = composition(converse(X1_114),X0_113) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_103]) ).
tff(c_4355,plain,
! [X0_113] : ( composition(converse(one),X0_113) = converse(converse(X0_113)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_4282]) ).
tff(c_4371,plain,
! [X0_115] : ( composition(converse(one),X0_115) = X0_115 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4355]) ).
tff(c_4409,plain,
converse(one) = one,
inference(superposition,[status(thm),theory(equality)],[c_4371,c_12]) ).
tff(c_4369,plain,
! [X0_113] : ( composition(converse(one),X0_113) = X0_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_4355]) ).
tff(c_4435,plain,
! [X0_113] : ( composition(one,X0_113) = X0_113 ),
inference(demodulation,[status(thm),theory(equality)],[c_4409,c_4369]) ).
tff(c_24616,plain,
complement(composition(top,top)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_24583,c_4435]) ).
tff(c_5392,plain,
! [X0_17] : ( join(converse(X0_17),converse(complement(X0_17))) = converse(top) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_5294]) ).
tff(c_5580,plain,
! [X0_128] : ( join(converse(X0_128),converse(complement(X0_128))) = top ),
inference(demodulation,[status(thm),theory(equality)],[c_5312,c_5392]) ).
tff(c_5648,plain,
! [X1_9] : ( join(converse(complement(X1_9)),converse(X1_9)) = top ),
inference(superposition,[status(thm),theory(equality)],[c_2210,c_5580]) ).
tff(c_25616,plain,
join(converse(zero),converse(composition(top,top))) = top,
inference(superposition,[status(thm),theory(equality)],[c_24616,c_5648]) ).
tff(c_25714,plain,
composition(top,top) = top,
inference(demodulation,[status(thm),theory(equality)],[c_24340,c_1238,c_4678,c_25616]) ).
tff(c_25716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_25714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 15:30:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 12.83/4.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.83/4.51
% 12.83/4.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.03/4.55
% 13.03/4.55 Inference rules
% 13.03/4.55 ----------------------
% 13.03/4.55 #Ref : 0
% 13.03/4.55 #Sup : 6429
% 13.03/4.55 #Fact : 0
% 13.03/4.55 #Define : 0
% 13.03/4.55 #Split : 0
% 13.03/4.55 #Chain : 0
% 13.03/4.55 #Close : 0
% 13.03/4.55
% 13.03/4.55 Ordering : KBO
% 13.03/4.55
% 13.03/4.55 Simplification rules
% 13.03/4.55 ----------------------
% 13.03/4.55 #Subsume : 113
% 13.03/4.55 #Demod : 8242
% 13.03/4.55 #Tautology : 4111
% 13.03/4.55 #SimpNegUnit : 1
% 13.03/4.55 #BackRed : 48
% 13.03/4.55
% 13.03/4.55 #Partial instantiations: 0
% 13.03/4.55 #Strategies tried : 1
% 13.03/4.55
% 13.03/4.55 Timing (in seconds)
% 13.03/4.55 ----------------------
% 13.03/4.55 Preprocessing : 0.47
% 13.03/4.55 Parsing : 0.26
% 13.03/4.55 CNF conversion : 0.02
% 13.03/4.55 Main loop : 2.92
% 13.03/4.55 Inferencing : 0.68
% 13.03/4.55 Reduction : 1.59
% 13.03/4.55 Demodulation : 1.42
% 13.03/4.55 BG Simplification : 0.07
% 13.03/4.55 Subsumption : 0.41
% 13.03/4.55 Abstraction : 0.10
% 13.03/4.55 MUC search : 0.00
% 13.03/4.55 Cooper : 0.00
% 13.03/4.55 Total : 3.46
% 13.03/4.55 Index Insertion : 0.00
% 13.03/4.55 Index Deletion : 0.00
% 13.03/4.55 Index Matching : 0.00
% 13.03/4.55 BG Taut test : 0.00
%------------------------------------------------------------------------------