TSTP Solution File: KLE148+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE148+2 : 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 : n003.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 10:44:56 EDT 2023
% Result : Theorem 34.71s 21.33s
% Output : CNFRefutation 34.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of formulae : 124 ( 84 unt; 11 typ; 0 def)
% Number of atoms : 143 ( 88 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 25 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 164 (; 164 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > strong_iteration > star > zero > one > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(strong_iteration,type,
strong_iteration: $i > $i ).
tff(star,type,
star: $i > $i ).
tff(multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(addition,type,
addition: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(one,type,
one: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_60,axiom,
! [A] : ( addition(A,A) = A ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',idempotence) ).
tff(f_65,axiom,
! [A] : ( multiplication(A,one) = A ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
tff(f_91,axiom,
! [A] : ( strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
tff(f_54,axiom,
! [A,B] : ( addition(A,B) = addition(B,A) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
tff(f_58,axiom,
! [A] : ( addition(A,zero) = A ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
tff(f_75,axiom,
! [A] : ( multiplication(zero,A) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
tff(f_56,axiom,
! [C,B,A] : ( addition(A,addition(B,C)) = addition(addition(A,B),C) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).
tff(f_70,axiom,
! [A,B,C] : ( multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
tff(f_102,axiom,
! [A,B] :
( leq(A,B)
<=> ( addition(A,B) = B ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
tff(f_88,axiom,
! [A,B,C] :
( leq(addition(multiplication(C,A),B),C)
=> leq(multiplication(B,star(A)),C) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction2) ).
tff(f_78,axiom,
! [A] : ( addition(one,multiplication(A,star(A))) = star(A) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
tff(f_67,axiom,
! [A] : ( multiplication(one,A) = A ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
tff(f_72,axiom,
! [A,B,C] : ( multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
tff(f_80,axiom,
! [A] : ( addition(one,multiplication(star(A),A)) = star(A) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
tff(f_63,axiom,
! [A,B,C] : ( multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
tff(f_84,axiom,
! [A,B,C] :
( leq(addition(multiplication(A,C),B),C)
=> leq(multiplication(star(A),B),C) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction1) ).
tff(f_111,negated_conjecture,
~ ! [X0,X1] :
( ( ( multiplication(X0,X1) = zero )
=> leq(multiplication(X0,strong_iteration(X1)),X0) )
& leq(X0,multiplication(X0,strong_iteration(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tff(c_8,plain,
! [A_7] : ( addition(A_7,A_7) = A_7 ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12,plain,
! [A_11] : ( multiplication(A_11,one) = A_11 ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_30,plain,
! [A_28] : ( addition(multiplication(A_28,strong_iteration(A_28)),one) = strong_iteration(A_28) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_116,plain,
! [B_40,A_41] : ( addition(B_40,A_41) = addition(A_41,B_40) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_6,plain,
! [A_6] : ( addition(A_6,zero) = A_6 ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_132,plain,
! [A_41] : ( addition(zero,A_41) = A_41 ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_6]) ).
tff(c_20,plain,
! [A_19] : ( multiplication(zero,A_19) = zero ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_272,plain,
! [A_49] : ( addition(multiplication(A_49,strong_iteration(A_49)),one) = strong_iteration(A_49) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_2,plain,
! [B_2,A_1] : ( addition(B_2,A_1) = addition(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_278,plain,
! [A_49] : ( addition(one,multiplication(A_49,strong_iteration(A_49))) = strong_iteration(A_49) ),
inference(superposition,[status(thm),theory(equality)],[c_272,c_2]) ).
tff(c_376,plain,
! [A_52,B_53,C_54] : ( addition(addition(A_52,B_53),C_54) = addition(A_52,addition(B_53,C_54)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_466,plain,
! [A_55,C_56] : ( addition(A_55,addition(A_55,C_56)) = addition(A_55,C_56) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_376]) ).
tff(c_499,plain,
! [A_49] : ( addition(one,multiplication(A_49,strong_iteration(A_49))) = addition(one,strong_iteration(A_49)) ),
inference(superposition,[status(thm),theory(equality)],[c_278,c_466]) ).
tff(c_549,plain,
! [A_49] : ( addition(one,strong_iteration(A_49)) = strong_iteration(A_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_499]) ).
tff(c_923,plain,
! [A_69,B_70,C_71] : ( addition(multiplication(A_69,B_70),multiplication(A_69,C_71)) = multiplication(A_69,addition(B_70,C_71)) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_981,plain,
! [A_11,C_71] : ( multiplication(A_11,addition(one,C_71)) = addition(A_11,multiplication(A_11,C_71)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_923]) ).
tff(c_38,plain,
! [A_33,B_34] :
( leq(A_33,B_34)
| ( addition(A_33,B_34) != B_34 ) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_1076,plain,
! [B_74,A_75,C_76] :
( leq(multiplication(B_74,star(A_75)),C_76)
| ~ leq(addition(multiplication(C_76,A_75),B_74),C_76) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_1113,plain,
! [B_74,A_19] :
( leq(multiplication(B_74,star(A_19)),zero)
| ~ leq(addition(zero,B_74),zero) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_1076]) ).
tff(c_1301,plain,
! [B_90,A_91] :
( leq(multiplication(B_90,star(A_91)),zero)
| ~ leq(B_90,zero) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_1113]) ).
tff(c_36,plain,
! [A_33,B_34] :
( ( addition(A_33,B_34) = B_34 )
| ~ leq(A_33,B_34) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_1304,plain,
! [B_90,A_91] :
( ( addition(multiplication(B_90,star(A_91)),zero) = zero )
| ~ leq(B_90,zero) ),
inference(resolution,[status(thm)],[c_1301,c_36]) ).
tff(c_1324,plain,
! [B_92,A_93] :
( ( multiplication(B_92,star(A_93)) = zero )
| ~ leq(B_92,zero) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_2,c_1304]) ).
tff(c_22,plain,
! [A_20] : ( addition(one,multiplication(A_20,star(A_20))) = star(A_20) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1359,plain,
! [A_93] :
( ( star(A_93) = addition(one,zero) )
| ~ leq(A_93,zero) ),
inference(superposition,[status(thm),theory(equality)],[c_1324,c_22]) ).
tff(c_1792,plain,
! [A_98] :
( ( star(A_98) = one )
| ~ leq(A_98,zero) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1359]) ).
tff(c_1807,plain,
! [A_33] :
( ( star(A_33) = one )
| ( addition(A_33,zero) != zero ) ),
inference(resolution,[status(thm)],[c_38,c_1792]) ).
tff(c_1815,plain,
star(zero) = one,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1807]) ).
tff(c_3381,plain,
! [A_115,B_116] : ( multiplication(A_115,addition(B_116,one)) = addition(multiplication(A_115,B_116),A_115) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_923]) ).
tff(c_3532,plain,
! [A_115] : ( addition(multiplication(A_115,zero),A_115) = multiplication(A_115,one) ),
inference(superposition,[status(thm),theory(equality)],[c_132,c_3381]) ).
tff(c_3591,plain,
! [A_115] : ( addition(multiplication(A_115,zero),A_115) = A_115 ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_3532]) ).
tff(c_1095,plain,
! [B_74,A_75,B_34] :
( leq(multiplication(B_74,star(A_75)),B_34)
| ( addition(addition(multiplication(B_34,A_75),B_74),B_34) != B_34 ) ),
inference(resolution,[status(thm)],[c_38,c_1076]) ).
tff(c_18616,plain,
! [B_307,A_308,B_309] :
( leq(multiplication(B_307,star(A_308)),B_309)
| ( addition(B_309,addition(multiplication(B_309,A_308),B_307)) != B_309 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_1095]) ).
tff(c_18695,plain,
! [A_115] :
( leq(multiplication(A_115,star(zero)),A_115)
| ( addition(A_115,A_115) != A_115 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3591,c_18616]) ).
tff(c_18804,plain,
! [A_115] : leq(A_115,A_115),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_1815,c_18695]) ).
tff(c_453,plain,
! [A_7,C_54] : ( addition(A_7,addition(A_7,C_54)) = addition(A_7,C_54) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_376]) ).
tff(c_1409,plain,
! [C_94,A_95,B_96] : ( addition(C_94,addition(A_95,B_96)) = addition(A_95,addition(B_96,C_94)) ),
inference(superposition,[status(thm),theory(equality)],[c_376,c_2]) ).
tff(c_1854,plain,
! [A_100,C_101] : ( addition(A_100,addition(A_100,C_101)) = addition(C_101,A_100) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1409]) ).
tff(c_1959,plain,
! [A_7,C_54] : ( addition(addition(A_7,C_54),A_7) = addition(A_7,addition(A_7,C_54)) ),
inference(superposition,[status(thm),theory(equality)],[c_453,c_1854]) ).
tff(c_2032,plain,
! [A_7,C_54] : ( addition(addition(A_7,C_54),A_7) = addition(A_7,C_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_1959]) ).
tff(c_14,plain,
! [A_12] : ( multiplication(one,A_12) = A_12 ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_2652,plain,
! [A_109,A_110] : ( addition(A_109,addition(A_110,A_109)) = addition(A_110,A_109) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1409]) ).
tff(c_2830,plain,
! [A_20] : ( addition(multiplication(A_20,star(A_20)),star(A_20)) = addition(one,multiplication(A_20,star(A_20))) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2652]) ).
tff(c_7119,plain,
! [A_151] : ( addition(multiplication(A_151,star(A_151)),star(A_151)) = star(A_151) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_2830]) ).
tff(c_655,plain,
! [A_62,C_63,B_64] : ( addition(multiplication(A_62,C_63),multiplication(B_64,C_63)) = multiplication(addition(A_62,B_64),C_63) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_695,plain,
! [A_62,A_12] : ( multiplication(addition(A_62,one),A_12) = addition(multiplication(A_62,A_12),A_12) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_655]) ).
tff(c_7125,plain,
! [A_151] : ( multiplication(addition(A_151,one),star(A_151)) = star(A_151) ),
inference(superposition,[status(thm),theory(equality)],[c_7119,c_695]) ).
tff(c_24,plain,
! [A_21] : ( addition(one,multiplication(star(A_21),A_21)) = star(A_21) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_520,plain,
! [A_21] : ( addition(one,multiplication(star(A_21),A_21)) = addition(one,star(A_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_466]) ).
tff(c_556,plain,
! [A_21] : ( addition(one,star(A_21)) = star(A_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_520]) ).
tff(c_4,plain,
! [A_5,B_4,C_3] : ( addition(addition(A_5,B_4),C_3) = addition(A_5,addition(B_4,C_3)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_7248,plain,
! [A_152] : ( multiplication(addition(A_152,one),star(A_152)) = star(A_152) ),
inference(superposition,[status(thm),theory(equality)],[c_7119,c_695]) ).
tff(c_7260,plain,
! [A_152] : ( multiplication(addition(A_152,one),addition(one,star(A_152))) = addition(addition(A_152,one),star(A_152)) ),
inference(superposition,[status(thm),theory(equality)],[c_7248,c_981]) ).
tff(c_7399,plain,
! [A_153] : ( addition(A_153,star(A_153)) = star(A_153) ),
inference(demodulation,[status(thm),theory(equality)],[c_7125,c_556,c_4,c_556,c_7260]) ).
tff(c_1670,plain,
! [A_41,C_94] : ( addition(zero,addition(A_41,C_94)) = addition(C_94,A_41) ),
inference(superposition,[status(thm),theory(equality)],[c_132,c_1409]) ).
tff(c_7439,plain,
! [A_153] : ( addition(star(A_153),A_153) = addition(zero,star(A_153)) ),
inference(superposition,[status(thm),theory(equality)],[c_7399,c_1670]) ).
tff(c_7521,plain,
! [A_153] : ( addition(star(A_153),A_153) = star(A_153) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_7439]) ).
tff(c_10,plain,
! [A_8,B_9,C_10] : ( multiplication(multiplication(A_8,B_9),C_10) = multiplication(A_8,multiplication(B_9,C_10)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_1109,plain,
! [C_76,A_75] :
( leq(multiplication(multiplication(C_76,A_75),star(A_75)),C_76)
| ~ leq(multiplication(C_76,A_75),C_76) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1076]) ).
tff(c_16595,plain,
! [C_287,A_288] :
( leq(multiplication(C_287,multiplication(A_288,star(A_288))),C_287)
| ~ leq(multiplication(C_287,A_288),C_287) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_1109]) ).
tff(c_16659,plain,
! [A_288] :
( leq(multiplication(A_288,star(A_288)),one)
| ~ leq(multiplication(one,A_288),one) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_16595]) ).
tff(c_34300,plain,
! [A_462] :
( leq(multiplication(A_462,star(A_462)),one)
| ~ leq(A_462,one) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16659]) ).
tff(c_34360,plain,
( leq(star(one),one)
| ~ leq(one,one) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_34300]) ).
tff(c_34378,plain,
leq(star(one),one),
inference(demodulation,[status(thm),theory(equality)],[c_18804,c_34360]) ).
tff(c_34387,plain,
addition(star(one),one) = one,
inference(resolution,[status(thm)],[c_34378,c_36]) ).
tff(c_2661,plain,
! [A_110,A_109] : ( addition(addition(A_110,A_109),A_109) = addition(zero,addition(A_110,A_109)) ),
inference(superposition,[status(thm),theory(equality)],[c_2652,c_1670]) ).
tff(c_2855,plain,
! [A_110,A_109] : ( addition(addition(A_110,A_109),A_109) = addition(A_110,A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_2661]) ).
tff(c_34467,plain,
addition(star(one),one) = addition(one,one),
inference(superposition,[status(thm),theory(equality)],[c_34387,c_2855]) ).
tff(c_34565,plain,
star(one) = one,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_7521,c_34467]) ).
tff(c_1181,plain,
! [A_81,B_82,C_83] :
( leq(multiplication(star(A_81),B_82),C_83)
| ~ leq(addition(multiplication(A_81,C_83),B_82),C_83) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1208,plain,
! [B_82,A_12] :
( leq(multiplication(star(one),B_82),A_12)
| ~ leq(addition(A_12,B_82),A_12) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1181]) ).
tff(c_34585,plain,
! [B_82,A_12] :
( leq(multiplication(one,B_82),A_12)
| ~ leq(addition(A_12,B_82),A_12) ),
inference(demodulation,[status(thm),theory(equality)],[c_34565,c_1208]) ).
tff(c_37001,plain,
! [B_474,A_475] :
( leq(B_474,A_475)
| ~ leq(addition(A_475,B_474),A_475) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_34585]) ).
tff(c_37109,plain,
! [A_7,C_54] :
( leq(A_7,addition(A_7,C_54))
| ~ leq(addition(A_7,C_54),addition(A_7,C_54)) ),
inference(superposition,[status(thm),theory(equality)],[c_2032,c_37001]) ).
tff(c_37576,plain,
! [A_481,C_482] : leq(A_481,addition(A_481,C_482)),
inference(demodulation,[status(thm),theory(equality)],[c_18804,c_37109]) ).
tff(c_45784,plain,
! [A_548,C_549] : leq(A_548,multiplication(A_548,addition(one,C_549))),
inference(superposition,[status(thm),theory(equality)],[c_981,c_37576]) ).
tff(c_45879,plain,
! [A_548,A_49] : leq(A_548,multiplication(A_548,strong_iteration(A_49))),
inference(superposition,[status(thm),theory(equality)],[c_549,c_45784]) ).
tff(c_42,plain,
( ( multiplication('#skF_3','#skF_4') = zero )
| ~ leq('#skF_1',multiplication('#skF_1',strong_iteration('#skF_2'))) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_212,plain,
~ leq('#skF_1',multiplication('#skF_1',strong_iteration('#skF_2'))),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_46135,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45879,c_212]) ).
tff(c_46136,plain,
multiplication('#skF_3','#skF_4') = zero,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_46575,plain,
! [A_570,B_571,C_572] : ( multiplication(multiplication(A_570,B_571),C_572) = multiplication(A_570,multiplication(B_571,C_572)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_46606,plain,
! [C_572] : ( multiplication('#skF_3',multiplication('#skF_4',C_572)) = multiplication(zero,C_572) ),
inference(superposition,[status(thm),theory(equality)],[c_46136,c_46575]) ).
tff(c_46625,plain,
! [C_572] : ( multiplication('#skF_3',multiplication('#skF_4',C_572)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_46606]) ).
tff(c_47010,plain,
! [A_581,B_582,C_583] : ( addition(multiplication(A_581,B_582),multiplication(A_581,C_583)) = multiplication(A_581,addition(B_582,C_583)) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_47042,plain,
! [C_572,C_583] : ( multiplication('#skF_3',addition(multiplication('#skF_4',C_572),C_583)) = addition(zero,multiplication('#skF_3',C_583)) ),
inference(superposition,[status(thm),theory(equality)],[c_46625,c_47010]) ).
tff(c_134510,plain,
! [C_1201,C_1202] : ( multiplication('#skF_3',addition(multiplication('#skF_4',C_1201),C_1202)) = multiplication('#skF_3',C_1202) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_47042]) ).
tff(c_134895,plain,
multiplication('#skF_3',strong_iteration('#skF_4')) = multiplication('#skF_3',one),
inference(superposition,[status(thm),theory(equality)],[c_30,c_134510]) ).
tff(c_134986,plain,
multiplication('#skF_3',strong_iteration('#skF_4')) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12,c_134895]) ).
tff(c_46137,plain,
leq('#skF_1',multiplication('#skF_1',strong_iteration('#skF_2'))),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_40,plain,
( ~ leq(multiplication('#skF_3',strong_iteration('#skF_4')),'#skF_3')
| ~ leq('#skF_1',multiplication('#skF_1',strong_iteration('#skF_2'))) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_46145,plain,
~ leq(multiplication('#skF_3',strong_iteration('#skF_4')),'#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_46137,c_40]) ).
tff(c_46148,plain,
addition(multiplication('#skF_3',strong_iteration('#skF_4')),'#skF_3') != '#skF_3',
inference(resolution,[status(thm)],[c_38,c_46145]) ).
tff(c_46150,plain,
addition('#skF_3',multiplication('#skF_3',strong_iteration('#skF_4'))) != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2,c_46148]) ).
tff(c_134990,plain,
addition('#skF_3','#skF_3') != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_134986,c_46150]) ).
tff(c_134994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_134990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KLE148+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 23:30:08 EDT 2023
% 0.22/0.37 % CPUTime :
% 34.71/21.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.80/21.35
% 34.80/21.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 34.80/21.39
% 34.80/21.39 Inference rules
% 34.80/21.39 ----------------------
% 34.80/21.39 #Ref : 0
% 34.80/21.39 #Sup : 34827
% 34.80/21.39 #Fact : 0
% 34.80/21.39 #Define : 0
% 34.80/21.39 #Split : 27
% 34.80/21.39 #Chain : 0
% 34.80/21.39 #Close : 0
% 34.80/21.39
% 34.80/21.39 Ordering : KBO
% 34.80/21.39
% 34.80/21.39 Simplification rules
% 34.80/21.39 ----------------------
% 34.80/21.39 #Subsume : 8456
% 34.80/21.39 #Demod : 38517
% 34.80/21.39 #Tautology : 10796
% 34.80/21.39 #SimpNegUnit : 599
% 34.80/21.39 #BackRed : 82
% 34.80/21.39
% 34.80/21.39 #Partial instantiations: 0
% 34.80/21.39 #Strategies tried : 1
% 34.80/21.39
% 34.80/21.39 Timing (in seconds)
% 34.80/21.39 ----------------------
% 34.80/21.40 Preprocessing : 0.50
% 34.80/21.40 Parsing : 0.27
% 34.80/21.40 CNF conversion : 0.03
% 34.80/21.40 Main loop : 19.74
% 34.80/21.40 Inferencing : 2.25
% 34.80/21.40 Reduction : 13.02
% 34.80/21.40 Demodulation : 11.53
% 34.80/21.40 BG Simplification : 0.23
% 34.80/21.40 Subsumption : 3.32
% 34.80/21.40 Abstraction : 0.40
% 34.80/21.40 MUC search : 0.00
% 34.80/21.40 Cooper : 0.00
% 34.80/21.40 Total : 20.32
% 34.80/21.40 Index Insertion : 0.00
% 34.80/21.40 Index Deletion : 0.00
% 34.80/21.40 Index Matching : 0.00
% 34.80/21.40 BG Taut test : 0.00
%------------------------------------------------------------------------------