TSTP Solution File: KLE114+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE114+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 : n013.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 10:44:52 EDT 2023
% Result : Theorem 6.31s 2.55s
% Output : CNFRefutation 6.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 58 ( 42 unt; 16 typ; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 13 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 31 (; 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > forward_diamond > forward_box > domain_difference > backward_diamond > backward_box > addition > #nlpp > domain > codomain > coantidomain > c > antidomain > zero > one > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(coantidomain,type,
coantidomain: $i > $i ).
tff(forward_diamond,type,
forward_diamond: ( $i * $i ) > $i ).
tff(domain,type,
domain: $i > $i ).
tff(domain_difference,type,
domain_difference: ( $i * $i ) > $i ).
tff(backward_box,type,
backward_box: ( $i * $i ) > $i ).
tff(antidomain,type,
antidomain: $i > $i ).
tff(forward_box,type,
forward_box: ( $i * $i ) > $i ).
tff(c,type,
c: $i > $i ).
tff(multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(addition,type,
addition: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(one,type,
one: $i ).
tff(backward_diamond,type,
backward_diamond: ( $i * $i ) > $i ).
tff(codomain,type,
codomain: $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_57,axiom,
! [A] : ( addition(A,zero) = A ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
tff(f_112,axiom,
! [X0] : ( multiplication(antidomain(X0),X0) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
tff(f_64,axiom,
! [A] : ( multiplication(A,one) = A ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
tff(f_118,axiom,
! [X0] : ( domain(X0) = antidomain(antidomain(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
tff(f_116,axiom,
! [X0] : ( addition(antidomain(antidomain(X0)),antidomain(X0)) = one ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
tff(f_162,axiom,
! [X0] : ( c(X0) = antidomain(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',complement) ).
tff(f_74,axiom,
! [A] : ( multiplication(A,zero) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
tff(f_166,axiom,
! [X0,X1] : ( forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
tff(f_170,axiom,
! [X0,X1] : ( forward_box(X0,X1) = c(forward_diamond(X0,c(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_box) ).
tff(f_177,negated_conjecture,
~ ! [X0] : ( forward_box(X0,one) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tff(c_6,plain,
! [A_6] : ( addition(A_6,zero) = A_6 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_159,plain,
! [X0_50] : ( multiplication(antidomain(X0_50),X0_50) = zero ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_12,plain,
! [A_11] : ( multiplication(A_11,one) = A_11 ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_165,plain,
antidomain(one) = zero,
inference(superposition,[status(thm),theory(equality)],[c_159,c_12]) ).
tff(c_203,plain,
! [X0_52] : ( antidomain(antidomain(X0_52)) = domain(X0_52) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_224,plain,
domain(one) = antidomain(zero),
inference(superposition,[status(thm),theory(equality)],[c_165,c_203]) ).
tff(c_34,plain,
! [X0_27] : ( antidomain(antidomain(X0_27)) = domain(X0_27) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_32,plain,
! [X0_26] : ( addition(antidomain(antidomain(X0_26)),antidomain(X0_26)) = one ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_519,plain,
! [X0_62] : ( addition(domain(X0_62),antidomain(X0_62)) = one ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).
tff(c_559,plain,
addition(domain(one),zero) = one,
inference(superposition,[status(thm),theory(equality)],[c_165,c_519]) ).
tff(c_566,plain,
antidomain(zero) = one,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_224,c_559]) ).
tff(c_568,plain,
domain(one) = one,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_224]) ).
tff(c_44,plain,
! [X0_33] : ( antidomain(domain(X0_33)) = c(X0_33) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_595,plain,
c(one) = antidomain(one),
inference(superposition,[status(thm),theory(equality)],[c_568,c_44]) ).
tff(c_599,plain,
c(one) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_165,c_595]) ).
tff(c_215,plain,
! [X0_27] : ( domain(antidomain(X0_27)) = antidomain(domain(X0_27)) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_203]) ).
tff(c_293,plain,
! [X0_55] : ( domain(antidomain(X0_55)) = c(X0_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_215]) ).
tff(c_311,plain,
domain(zero) = c(one),
inference(superposition,[status(thm),theory(equality)],[c_165,c_293]) ).
tff(c_414,plain,
antidomain(c(one)) = c(zero),
inference(superposition,[status(thm),theory(equality)],[c_311,c_44]) ).
tff(c_620,plain,
c(zero) = antidomain(zero),
inference(demodulation,[status(thm),theory(equality)],[c_599,c_414]) ).
tff(c_621,plain,
c(zero) = one,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_620]) ).
tff(c_579,plain,
domain(zero) = antidomain(one),
inference(superposition,[status(thm),theory(equality)],[c_566,c_34]) ).
tff(c_586,plain,
domain(zero) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_165,c_579]) ).
tff(c_20,plain,
! [A_19] : ( multiplication(A_19,zero) = zero ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_962,plain,
! [X0_84,X1_85] : ( domain(multiplication(X0_84,domain(X1_85))) = forward_diamond(X0_84,X1_85) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_989,plain,
! [X0_84] : ( domain(multiplication(X0_84,zero)) = forward_diamond(X0_84,zero) ),
inference(superposition,[status(thm),theory(equality)],[c_586,c_962]) ).
tff(c_1010,plain,
! [X0_84] : ( forward_diamond(X0_84,zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_586,c_20,c_989]) ).
tff(c_800,plain,
! [X0_75,X1_76] : ( c(forward_diamond(X0_75,c(X1_76))) = forward_box(X0_75,X1_76) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_818,plain,
! [X0_75] : ( c(forward_diamond(X0_75,zero)) = forward_box(X0_75,one) ),
inference(superposition,[status(thm),theory(equality)],[c_599,c_800]) ).
tff(c_5438,plain,
! [X0_75] : ( forward_box(X0_75,one) = one ),
inference(demodulation,[status(thm),theory(equality)],[c_621,c_1010,c_818]) ).
tff(c_56,plain,
forward_box('#skF_1',one) != one,
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_5442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5438,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KLE114+1 : 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
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 23:19:32 EDT 2023
% 0.16/0.37 % CPUTime :
% 6.31/2.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.44/2.55
% 6.44/2.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.44/2.58
% 6.44/2.58 Inference rules
% 6.44/2.58 ----------------------
% 6.44/2.58 #Ref : 0
% 6.44/2.58 #Sup : 1411
% 6.44/2.58 #Fact : 0
% 6.44/2.58 #Define : 0
% 6.44/2.58 #Split : 0
% 6.44/2.58 #Chain : 0
% 6.44/2.58 #Close : 0
% 6.44/2.58
% 6.44/2.58 Ordering : KBO
% 6.44/2.58
% 6.44/2.58 Simplification rules
% 6.44/2.58 ----------------------
% 6.44/2.58 #Subsume : 0
% 6.44/2.58 #Demod : 1355
% 6.44/2.58 #Tautology : 771
% 6.44/2.58 #SimpNegUnit : 0
% 6.44/2.58 #BackRed : 12
% 6.44/2.58
% 6.44/2.58 #Partial instantiations: 0
% 6.44/2.58 #Strategies tried : 1
% 6.44/2.58
% 6.44/2.58 Timing (in seconds)
% 6.44/2.58 ----------------------
% 6.44/2.59 Preprocessing : 0.51
% 6.44/2.59 Parsing : 0.28
% 6.44/2.59 CNF conversion : 0.03
% 6.44/2.59 Main loop : 1.00
% 6.44/2.59 Inferencing : 0.31
% 6.44/2.59 Reduction : 0.43
% 6.44/2.59 Demodulation : 0.34
% 6.44/2.59 BG Simplification : 0.04
% 6.44/2.59 Subsumption : 0.16
% 6.44/2.59 Abstraction : 0.04
% 6.44/2.59 MUC search : 0.00
% 6.44/2.59 Cooper : 0.00
% 6.44/2.59 Total : 1.57
% 6.44/2.59 Index Insertion : 0.00
% 6.44/2.59 Index Deletion : 0.00
% 6.44/2.59 Index Matching : 0.00
% 6.44/2.59 BG Taut test : 0.00
%------------------------------------------------------------------------------