TSTP Solution File: KLE065+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE065+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.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 10:44:47 EDT 2023
% Result : Theorem 19.37s 8.20s
% Output : CNFRefutation 19.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 62 ( 53 unt; 8 typ; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 81 (; 81 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > domain > zero > one > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(domain,type,
domain: $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_1',type,
'#skF_1': $i ).
tff(one,type,
one: $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_127,negated_conjecture,
~ ! [X0,X1] :
( ( multiplication(X0,X1) = zero )
=> ( multiplication(X0,domain(X1)) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(f_63,axiom,
! [A] : ( multiplication(A,one) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
tff(f_117,axiom,
! [X0] : ( addition(domain(X0),one) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
tff(f_52,axiom,
! [A,B] : ( addition(A,B) = addition(B,A) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
tff(f_113,axiom,
! [X0] : ( addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
tff(f_120,axiom,
! [X0,X1] : ( domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
tff(f_115,axiom,
! [X0,X1] : ( domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
tff(f_68,axiom,
! [A,B,C] : ( multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
tff(f_75,axiom,
! [A] : ( multiplication(zero,A) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
tff(f_118,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
tff(f_61,axiom,
! [A,B,C] : ( multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
tff(f_65,axiom,
! [A] : ( multiplication(one,A) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
tff(f_70,axiom,
! [A,B,C] : ( multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
tff(c_38,plain,
multiplication('#skF_1',domain('#skF_2')) != zero,
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_12,plain,
! [A_11] : ( multiplication(A_11,one) = A_11 ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_32,plain,
! [X0_26] : ( addition(domain(X0_26),one) = one ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_160,plain,
! [B_36,A_37] : ( addition(B_36,A_37) = addition(A_37,B_36) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_213,plain,
! [X0_26] : ( addition(one,domain(X0_26)) = one ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_160]) ).
tff(c_677,plain,
! [X0_56] : ( addition(X0_56,multiplication(domain(X0_56),X0_56)) = multiplication(domain(X0_56),X0_56) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_718,plain,
multiplication(domain(one),one) = addition(one,domain(one)),
inference(superposition,[status(thm),theory(equality)],[c_12,c_677]) ).
tff(c_734,plain,
domain(one) = one,
inference(demodulation,[status(thm),theory(equality)],[c_213,c_12,c_718]) ).
tff(c_36,plain,
! [X0_27,X1_28] : ( addition(domain(X0_27),domain(X1_28)) = domain(addition(X0_27,X1_28)) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_752,plain,
! [X0_27] : ( addition(domain(X0_27),one) = domain(addition(X0_27,one)) ),
inference(superposition,[status(thm),theory(equality)],[c_734,c_36]) ).
tff(c_836,plain,
! [X0_58] : ( domain(addition(X0_58,one)) = one ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_752]) ).
tff(c_30,plain,
! [X0_24,X1_25] : ( domain(multiplication(X0_24,domain(X1_25))) = domain(multiplication(X0_24,X1_25)) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_850,plain,
! [X0_24,X0_58] : ( domain(multiplication(X0_24,addition(X0_58,one))) = domain(multiplication(X0_24,one)) ),
inference(superposition,[status(thm),theory(equality)],[c_836,c_30]) ).
tff(c_892,plain,
! [X0_24,X0_58] : ( domain(multiplication(X0_24,addition(X0_58,one))) = domain(X0_24) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_850]) ).
tff(c_1361,plain,
! [A_71,B_72,C_73] : ( addition(multiplication(A_71,B_72),multiplication(A_71,C_73)) = multiplication(A_71,addition(B_72,C_73)) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_13990,plain,
! [A_179,B_180] : ( multiplication(A_179,addition(B_180,one)) = addition(multiplication(A_179,B_180),A_179) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1361]) ).
tff(c_305,plain,
! [X0_44,X1_45] : ( addition(domain(X0_44),domain(X1_45)) = domain(addition(X0_44,X1_45)) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_2,plain,
! [B_2,A_1] : ( addition(B_2,A_1) = addition(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_2061,plain,
! [X1_85,X0_86] : ( addition(domain(X1_85),domain(X0_86)) = domain(addition(X0_86,X1_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_305,c_2]) ).
tff(c_2076,plain,
! [X1_85,X0_86] : ( domain(addition(X1_85,X0_86)) = domain(addition(X0_86,X1_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_2061,c_36]) ).
tff(c_14105,plain,
! [A_179,B_180] : ( domain(multiplication(A_179,addition(B_180,one))) = domain(addition(A_179,multiplication(A_179,B_180))) ),
inference(superposition,[status(thm),theory(equality)],[c_13990,c_2076]) ).
tff(c_14346,plain,
! [A_179,B_180] : ( domain(addition(A_179,multiplication(A_179,B_180))) = domain(A_179) ),
inference(demodulation,[status(thm),theory(equality)],[c_892,c_14105]) ).
tff(c_22,plain,
! [A_20] : ( multiplication(zero,A_20) = zero ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_34,plain,
domain(zero) = zero,
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_16270,plain,
! [A_192,C_193] : ( multiplication(A_192,addition(one,C_193)) = addition(A_192,multiplication(A_192,C_193)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1361]) ).
tff(c_40,plain,
multiplication('#skF_1','#skF_2') = zero,
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_906,plain,
! [A_59,B_60,C_61] : ( multiplication(multiplication(A_59,B_60),C_61) = multiplication(A_59,multiplication(B_60,C_61)) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_953,plain,
! [C_61] : ( multiplication('#skF_1',multiplication('#skF_2',C_61)) = multiplication(zero,C_61) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_906]) ).
tff(c_967,plain,
! [C_61] : ( multiplication('#skF_1',multiplication('#skF_2',C_61)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_953]) ).
tff(c_16427,plain,
! [C_193] : ( multiplication('#skF_1',addition('#skF_2',multiplication('#skF_2',C_193))) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_16270,c_967]) ).
tff(c_14,plain,
! [A_12] : ( multiplication(one,A_12) = A_12 ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1209,plain,
! [A_67,C_68,B_69] : ( addition(multiplication(A_67,C_68),multiplication(B_69,C_68)) = multiplication(addition(A_67,B_69),C_68) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_5481,plain,
! [B_116,A_117] : ( multiplication(addition(one,B_116),A_117) = addition(A_117,multiplication(B_116,A_117)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1209]) ).
tff(c_5651,plain,
! [A_117,X0_26] : ( addition(A_117,multiplication(domain(X0_26),A_117)) = multiplication(one,A_117) ),
inference(superposition,[status(thm),theory(equality)],[c_213,c_5481]) ).
tff(c_5707,plain,
! [A_117,X0_26] : ( addition(A_117,multiplication(domain(X0_26),A_117)) = A_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_5651]) ).
tff(c_710,plain,
! [X0_24,X1_25] : ( addition(multiplication(X0_24,domain(X1_25)),multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25)))) = multiplication(domain(multiplication(X0_24,domain(X1_25))),multiplication(X0_24,domain(X1_25))) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_677]) ).
tff(c_732,plain,
! [X0_24,X1_25] : ( addition(multiplication(X0_24,domain(X1_25)),multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25)))) = multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25))) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_710]) ).
tff(c_44754,plain,
! [X0_330,X1_331] : ( multiplication(domain(multiplication(X0_330,X1_331)),multiplication(X0_330,domain(X1_331))) = multiplication(X0_330,domain(X1_331)) ),
inference(demodulation,[status(thm),theory(equality)],[c_5707,c_732]) ).
tff(c_45010,plain,
! [C_193] : ( multiplication(domain(zero),multiplication('#skF_1',domain(addition('#skF_2',multiplication('#skF_2',C_193))))) = multiplication('#skF_1',domain(addition('#skF_2',multiplication('#skF_2',C_193)))) ),
inference(superposition,[status(thm),theory(equality)],[c_16427,c_44754]) ).
tff(c_45248,plain,
multiplication('#skF_1',domain('#skF_2')) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_14346,c_22,c_34,c_45010]) ).
tff(c_45250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_45248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 23:43:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 19.37/8.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.45/8.21
% 19.45/8.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.45/8.24
% 19.45/8.24 Inference rules
% 19.45/8.24 ----------------------
% 19.45/8.24 #Ref : 0
% 19.45/8.24 #Sup : 11135
% 19.45/8.24 #Fact : 0
% 19.45/8.24 #Define : 0
% 19.45/8.24 #Split : 0
% 19.45/8.24 #Chain : 0
% 19.45/8.24 #Close : 0
% 19.45/8.24
% 19.45/8.24 Ordering : KBO
% 19.45/8.24
% 19.45/8.24 Simplification rules
% 19.45/8.24 ----------------------
% 19.45/8.24 #Subsume : 410
% 19.45/8.24 #Demod : 17474
% 19.45/8.24 #Tautology : 5534
% 19.45/8.24 #SimpNegUnit : 1
% 19.45/8.24 #BackRed : 1
% 19.45/8.24
% 19.45/8.24 #Partial instantiations: 0
% 19.45/8.24 #Strategies tried : 1
% 19.45/8.24
% 19.45/8.24 Timing (in seconds)
% 19.45/8.24 ----------------------
% 19.45/8.24 Preprocessing : 0.48
% 19.45/8.24 Parsing : 0.26
% 19.45/8.24 CNF conversion : 0.03
% 19.45/8.24 Main loop : 6.70
% 19.45/8.24 Inferencing : 1.05
% 19.45/8.24 Reduction : 4.46
% 19.45/8.24 Demodulation : 4.14
% 19.45/8.24 BG Simplification : 0.16
% 19.45/8.24 Subsumption : 0.82
% 19.45/8.24 Abstraction : 0.25
% 19.45/8.24 MUC search : 0.00
% 19.45/8.24 Cooper : 0.00
% 19.45/8.24 Total : 7.23
% 19.45/8.24 Index Insertion : 0.00
% 19.45/8.24 Index Deletion : 0.00
% 19.45/8.24 Index Matching : 0.00
% 19.45/8.24 BG Taut test : 0.00
%------------------------------------------------------------------------------