TSTP Solution File: KLE132+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : KLE132+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 : n014.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 10:44:53 EDT 2023
% Result : Theorem 17.87s 6.22s
% Output : CNFRefutation 17.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 116 ( 94 unt; 19 typ; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 15 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-2 aty)
% Number of variables : 123 (; 123 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ leq > multiplication > forward_diamond > forward_box > domain_difference > backward_diamond > backward_box > addition > #nlpp > star > domain > divergence > codomain > coantidomain > c > antidomain > zero > one > #skF_2 > #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(star,type,
star: $i > $i ).
tff(multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(divergence,type,
divergence: $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(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_216,negated_conjecture,
~ ! [X0] :
( ! [X1] : ( addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) )
=> ! [X2] :
( ( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
=> ( domain(X2) = zero ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(f_66,axiom,
! [A] : ( multiplication(one,A) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
tff(f_57,axiom,
! [A] : ( addition(A,zero) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
tff(f_112,axiom,
! [X0] : ( multiplication(antidomain(X0),X0) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
tff(f_64,axiom,
! [A] : ( multiplication(A,one) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
tff(f_118,axiom,
! [X0] : ( domain(X0) = antidomain(antidomain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
tff(f_116,axiom,
! [X0] : ( addition(antidomain(antidomain(X0)),antidomain(X0)) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
tff(f_74,axiom,
! [A] : ( multiplication(A,zero) = zero ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
tff(f_164,axiom,
! [X0,X1] : ( domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',domain_difference) ).
tff(f_162,axiom,
! [X0] : ( c(X0) = antidomain(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',complement) ).
tff(f_71,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(f_53,axiom,
! [A,B] : ( addition(A,B) = addition(B,A) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
tff(f_69,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_201,axiom,
! [X0] : ( forward_diamond(X0,divergence(X0)) = divergence(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+7.ax',divergence1) ).
tff(f_55,axiom,
! [C,B,A] : ( addition(A,addition(B,C)) = addition(addition(A,B),C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
tff(f_205,axiom,
! [X0,X1,X2] :
( ( addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2)) )
=> ( addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+7.ax',divergence2) ).
tff(f_59,axiom,
! [A] : ( addition(A,A) = A ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
tff(c_60,plain,
domain('#skF_2') != zero,
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_14,plain,
! [A_12] : ( multiplication(one,A_12) = A_12 ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_6,plain,
! [A_6] : ( addition(A_6,zero) = A_6 ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_203,plain,
! [X0_58] : ( multiplication(antidomain(X0_58),X0_58) = 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_209,plain,
antidomain(one) = zero,
inference(superposition,[status(thm),theory(equality)],[c_203,c_12]) ).
tff(c_235,plain,
! [X0_59] : ( antidomain(antidomain(X0_59)) = domain(X0_59) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_253,plain,
domain(one) = antidomain(zero),
inference(superposition,[status(thm),theory(equality)],[c_209,c_235]) ).
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_379,plain,
! [X0_64] : ( addition(domain(X0_64),antidomain(X0_64)) = one ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).
tff(c_404,plain,
addition(domain(one),zero) = one,
inference(superposition,[status(thm),theory(equality)],[c_209,c_379]) ).
tff(c_408,plain,
antidomain(zero) = one,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_253,c_404]) ).
tff(c_418,plain,
domain(zero) = antidomain(one),
inference(superposition,[status(thm),theory(equality)],[c_408,c_34]) ).
tff(c_425,plain,
domain(zero) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_209,c_418]) ).
tff(c_20,plain,
! [A_19] : ( multiplication(A_19,zero) = zero ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_1507,plain,
! [X0_99,X1_100] : ( domain(multiplication(X0_99,domain(X1_100))) = forward_diamond(X0_99,X1_100) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_1567,plain,
! [X0_99] : ( domain(multiplication(X0_99,zero)) = forward_diamond(X0_99,zero) ),
inference(superposition,[status(thm),theory(equality)],[c_425,c_1507]) ).
tff(c_1589,plain,
! [X0_99] : ( forward_diamond(X0_99,zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_20,c_1567]) ).
tff(c_46,plain,
! [X0_34,X1_35] : ( multiplication(domain(X0_34),antidomain(X1_35)) = domain_difference(X0_34,X1_35) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_44,plain,
! [X0_33] : ( antidomain(domain(X0_33)) = c(X0_33) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_247,plain,
! [X0_27] : ( domain(antidomain(X0_27)) = antidomain(domain(X0_27)) ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_235]) ).
tff(c_750,plain,
! [X0_27] : ( domain(antidomain(X0_27)) = c(X0_27) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_247]) ).
tff(c_67,plain,
! [X0_26] : ( addition(domain(X0_26),antidomain(X0_26)) = one ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).
tff(c_28,plain,
! [X0_23] : ( multiplication(antidomain(X0_23),X0_23) = zero ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3013,plain,
! [A_137,C_138,B_139] : ( addition(multiplication(A_137,C_138),multiplication(B_139,C_138)) = multiplication(addition(A_137,B_139),C_138) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_3098,plain,
! [A_137,X0_23] : ( multiplication(addition(A_137,antidomain(X0_23)),X0_23) = addition(multiplication(A_137,X0_23),zero) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_3013]) ).
tff(c_8371,plain,
! [A_224,X0_225] : ( multiplication(addition(A_224,antidomain(X0_225)),X0_225) = multiplication(A_224,X0_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_3098]) ).
tff(c_8461,plain,
! [X0_26] : ( multiplication(domain(X0_26),X0_26) = multiplication(one,X0_26) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_8371]) ).
tff(c_8503,plain,
! [X0_226] : ( multiplication(domain(X0_226),X0_226) = X0_226 ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_8461]) ).
tff(c_8598,plain,
! [X0_27] : ( multiplication(c(X0_27),antidomain(X0_27)) = antidomain(X0_27) ),
inference(superposition,[status(thm),theory(equality)],[c_750,c_8503]) ).
tff(c_553,plain,
! [B_66,A_67] : ( addition(B_66,A_67) = addition(A_67,B_66) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_587,plain,
! [A_67] : ( addition(zero,A_67) = A_67 ),
inference(superposition,[status(thm),theory(equality)],[c_553,c_6]) ).
tff(c_3459,plain,
! [A_145,B_146,C_147] : ( addition(multiplication(A_145,B_146),multiplication(A_145,C_147)) = multiplication(A_145,addition(B_146,C_147)) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_3549,plain,
! [X0_23,C_147] : ( multiplication(antidomain(X0_23),addition(X0_23,C_147)) = addition(zero,multiplication(antidomain(X0_23),C_147)) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_3459]) ).
tff(c_15222,plain,
! [X0_290,C_291] : ( multiplication(antidomain(X0_290),addition(X0_290,C_291)) = multiplication(antidomain(X0_290),C_291) ),
inference(demodulation,[status(thm),theory(equality)],[c_587,c_3549]) ).
tff(c_15494,plain,
! [X0_26] : ( multiplication(antidomain(domain(X0_26)),antidomain(X0_26)) = multiplication(antidomain(domain(X0_26)),one) ),
inference(superposition,[status(thm),theory(equality)],[c_67,c_15222]) ).
tff(c_15588,plain,
! [X0_26] : ( c(X0_26) = antidomain(X0_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_8598,c_44,c_44,c_12,c_15494]) ).
tff(c_1255,plain,
! [X0_90,X1_91] : ( multiplication(domain(X0_90),antidomain(X1_91)) = domain_difference(X0_90,X1_91) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_1289,plain,
! [X0_90,X0_33] : ( multiplication(domain(X0_90),c(X0_33)) = domain_difference(X0_90,domain(X0_33)) ),
inference(superposition,[status(thm),theory(equality)],[c_44,c_1255]) ).
tff(c_15606,plain,
! [X0_90,X0_33] : ( multiplication(domain(X0_90),antidomain(X0_33)) = domain_difference(X0_90,domain(X0_33)) ),
inference(demodulation,[status(thm),theory(equality)],[c_15588,c_1289]) ).
tff(c_28659,plain,
! [X0_397,X0_398] : ( domain_difference(X0_397,domain(X0_398)) = domain_difference(X0_397,X0_398) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_15606]) ).
tff(c_244,plain,
! [X0_59] : ( multiplication(domain(X0_59),antidomain(X0_59)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_235,c_28]) ).
tff(c_1262,plain,
! [X1_91] : ( domain_difference(X1_91,X1_91) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_1255,c_244]) ).
tff(c_28689,plain,
! [X0_398] : ( domain_difference(domain(X0_398),X0_398) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_28659,c_1262]) ).
tff(c_56,plain,
! [X0_44] : ( forward_diamond(X0_44,divergence(X0_44)) = divergence(X0_44) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_48,plain,
! [X0_36,X1_37] : ( domain(multiplication(X0_36,domain(X1_37))) = forward_diamond(X0_36,X1_37) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_1578,plain,
! [X1_100] : ( domain(domain(X1_100)) = forward_diamond(one,X1_100) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_1507]) ).
tff(c_285,plain,
! [X0_61] : ( antidomain(domain(X0_61)) = c(X0_61) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_291,plain,
! [X0_61] : ( domain(domain(X0_61)) = antidomain(c(X0_61)) ),
inference(superposition,[status(thm),theory(equality)],[c_285,c_34]) ).
tff(c_1689,plain,
! [X0_61] : ( antidomain(c(X0_61)) = forward_diamond(one,X0_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_1578,c_291]) ).
tff(c_15623,plain,
! [X0_61] : ( antidomain(antidomain(X0_61)) = forward_diamond(one,X0_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_15588,c_1689]) ).
tff(c_15645,plain,
! [X0_61] : ( forward_diamond(one,X0_61) = domain(X0_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_15623]) ).
tff(c_16129,plain,
! [X1_298] : ( domain(domain(X1_298)) = domain(X1_298) ),
inference(demodulation,[status(thm),theory(equality)],[c_15645,c_1578]) ).
tff(c_16247,plain,
! [X0_36,X1_298] : ( domain(multiplication(X0_36,domain(X1_298))) = forward_diamond(X0_36,domain(X1_298)) ),
inference(superposition,[status(thm),theory(equality)],[c_16129,c_48]) ).
tff(c_16322,plain,
! [X0_36,X1_298] : ( forward_diamond(X0_36,domain(X1_298)) = forward_diamond(X0_36,X1_298) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_16247]) ).
tff(c_64,plain,
! [X1_50] : ( addition(forward_diamond('#skF_1',domain(X1_50)),forward_diamond(star('#skF_1'),domain_difference(domain(X1_50),forward_diamond('#skF_1',domain(X1_50))))) = forward_diamond(star('#skF_1'),domain_difference(domain(X1_50),forward_diamond('#skF_1',domain(X1_50)))) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_31611,plain,
! [X1_427] : ( addition(forward_diamond('#skF_1',X1_427),forward_diamond(star('#skF_1'),domain_difference(domain(X1_427),forward_diamond('#skF_1',X1_427)))) = forward_diamond(star('#skF_1'),domain_difference(domain(X1_427),forward_diamond('#skF_1',X1_427))) ),
inference(demodulation,[status(thm),theory(equality)],[c_16322,c_16322,c_16322,c_64]) ).
tff(c_31711,plain,
addition(divergence('#skF_1'),forward_diamond(star('#skF_1'),domain_difference(domain(divergence('#skF_1')),forward_diamond('#skF_1',divergence('#skF_1'))))) = forward_diamond(star('#skF_1'),domain_difference(domain(divergence('#skF_1')),forward_diamond('#skF_1',divergence('#skF_1')))),
inference(superposition,[status(thm),theory(equality)],[c_56,c_31611]) ).
tff(c_31740,plain,
divergence('#skF_1') = zero,
inference(demodulation,[status(thm),theory(equality)],[c_1589,c_28689,c_6,c_1589,c_28689,c_56,c_56,c_31711]) ).
tff(c_2,plain,
! [B_2,A_1] : ( addition(B_2,A_1) = addition(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_62,plain,
addition(domain('#skF_2'),forward_diamond('#skF_1',domain('#skF_2'))) = forward_diamond('#skF_1',domain('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_2652,plain,
! [A_129,B_130,C_131] : ( addition(addition(A_129,B_130),C_131) = addition(A_129,addition(B_130,C_131)) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_2728,plain,
! [C_131] : ( addition(domain('#skF_2'),addition(forward_diamond('#skF_1',domain('#skF_2')),C_131)) = addition(forward_diamond('#skF_1',domain('#skF_2')),C_131) ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_2652]) ).
tff(c_4183,plain,
! [X0_157,X1_158,X2_159] :
( ( addition(domain(X0_157),addition(divergence(X1_158),forward_diamond(star(X1_158),domain(X2_159)))) = addition(divergence(X1_158),forward_diamond(star(X1_158),domain(X2_159))) )
| ( addition(domain(X0_157),addition(forward_diamond(X1_158,domain(X0_157)),domain(X2_159))) != addition(forward_diamond(X1_158,domain(X0_157)),domain(X2_159)) ) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_4331,plain,
! [X2_161] : ( addition(domain('#skF_2'),addition(divergence('#skF_1'),forward_diamond(star('#skF_1'),domain(X2_161)))) = addition(divergence('#skF_1'),forward_diamond(star('#skF_1'),domain(X2_161))) ),
inference(superposition,[status(thm),theory(equality)],[c_2728,c_4183]) ).
tff(c_4358,plain,
addition(domain('#skF_2'),addition(divergence('#skF_1'),forward_diamond(star('#skF_1'),zero))) = addition(divergence('#skF_1'),forward_diamond(star('#skF_1'),domain(zero))),
inference(superposition,[status(thm),theory(equality)],[c_425,c_4331]) ).
tff(c_4370,plain,
addition(divergence('#skF_1'),domain('#skF_2')) = divergence('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1589,c_2,c_6,c_1589,c_425,c_4358]) ).
tff(c_31742,plain,
addition(zero,domain('#skF_2')) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_31740,c_31740,c_4370]) ).
tff(c_8,plain,
! [A_7] : ( addition(A_7,A_7) = A_7 ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2738,plain,
! [A_7,C_131] : ( addition(A_7,addition(A_7,C_131)) = addition(A_7,C_131) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_2652]) ).
tff(c_3552,plain,
! [X0_23,B_146] : ( multiplication(antidomain(X0_23),addition(B_146,X0_23)) = addition(multiplication(antidomain(X0_23),B_146),zero) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_3459]) ).
tff(c_18442,plain,
! [X0_315,B_316] : ( multiplication(antidomain(X0_315),addition(B_316,X0_315)) = multiplication(antidomain(X0_315),B_316) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_3552]) ).
tff(c_18617,plain,
! [A_7,C_131] : ( multiplication(antidomain(addition(A_7,C_131)),addition(A_7,C_131)) = multiplication(antidomain(addition(A_7,C_131)),A_7) ),
inference(superposition,[status(thm),theory(equality)],[c_2738,c_18442]) ).
tff(c_21303,plain,
! [A_341,C_342] : ( multiplication(antidomain(addition(A_341,C_342)),A_341) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_18617]) ).
tff(c_21559,plain,
! [B_2,A_1] : ( multiplication(antidomain(addition(B_2,A_1)),A_1) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_21303]) ).
tff(c_31761,plain,
multiplication(antidomain(zero),domain('#skF_2')) = zero,
inference(superposition,[status(thm),theory(equality)],[c_31742,c_21559]) ).
tff(c_31809,plain,
domain('#skF_2') = zero,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_408,c_31761]) ).
tff(c_31811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_31809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n014.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 23:21:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 17.87/6.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.87/6.23
% 17.87/6.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.97/6.26
% 17.97/6.26 Inference rules
% 17.97/6.26 ----------------------
% 17.97/6.26 #Ref : 0
% 17.97/6.26 #Sup : 8027
% 17.97/6.26 #Fact : 0
% 17.97/6.26 #Define : 0
% 17.97/6.26 #Split : 0
% 17.97/6.26 #Chain : 0
% 17.97/6.26 #Close : 0
% 17.97/6.26
% 17.97/6.26 Ordering : KBO
% 17.97/6.26
% 17.97/6.26 Simplification rules
% 17.97/6.26 ----------------------
% 17.97/6.26 #Subsume : 74
% 17.97/6.26 #Demod : 11989
% 17.97/6.26 #Tautology : 4552
% 17.97/6.26 #SimpNegUnit : 1
% 17.97/6.26 #BackRed : 119
% 17.97/6.26
% 17.97/6.26 #Partial instantiations: 0
% 17.97/6.26 #Strategies tried : 1
% 17.97/6.26
% 17.97/6.26 Timing (in seconds)
% 17.97/6.26 ----------------------
% 17.97/6.27 Preprocessing : 0.54
% 17.97/6.27 Parsing : 0.29
% 17.97/6.27 CNF conversion : 0.03
% 17.97/6.27 Main loop : 4.64
% 17.97/6.27 Inferencing : 0.83
% 17.97/6.27 Reduction : 2.78
% 17.97/6.27 Demodulation : 2.49
% 17.97/6.27 BG Simplification : 0.09
% 17.97/6.27 Subsumption : 0.70
% 17.97/6.27 Abstraction : 0.13
% 17.97/6.27 MUC search : 0.00
% 17.97/6.27 Cooper : 0.00
% 17.97/6.27 Total : 5.25
% 17.97/6.27 Index Insertion : 0.00
% 17.97/6.27 Index Deletion : 0.00
% 17.97/6.27 Index Matching : 0.00
% 17.97/6.27 BG Taut test : 0.00
%------------------------------------------------------------------------------