TSTP Solution File: GRP659+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP659+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 : n005.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 10:41:51 EDT 2023
% Result : Theorem 12.35s 4.09s
% Output : CNFRefutation 12.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 49 unt; 5 typ; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 111 (; 110 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_30,axiom,
! [B,A] : ( ld(A,mult(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
tff(f_32,axiom,
! [B,A] : ( mult(rd(A,B),B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
tff(f_28,axiom,
! [B,A] : ( mult(A,ld(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
tff(f_36,axiom,
! [C,B,A] : ( mult(mult(A,mult(B,C)),B) = mult(mult(A,B),mult(C,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
tff(f_34,axiom,
! [B,A] : ( rd(mult(A,B),B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
tff(f_42,negated_conjecture,
~ ? [X0] :
! [X1] :
( ( mult(X1,X0) = X1 )
& ( mult(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tff(c_4,plain,
! [A_4,B_3] : ( ld(A_4,mult(A_4,B_3)) = B_3 ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
! [A_6,B_5] : ( mult(rd(A_6,B_5),B_5) = A_6 ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_39,plain,
! [A_18,B_19] : ( ld(A_18,mult(A_18,B_19)) = B_19 ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_48,plain,
! [A_6,B_5] : ( ld(rd(A_6,B_5),A_6) = B_5 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_39]) ).
tff(c_2,plain,
! [A_2,B_1] : ( mult(A_2,ld(A_2,B_1)) = B_1 ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_114,plain,
! [A_27,B_28,C_29] : ( mult(mult(A_27,mult(B_28,C_29)),B_28) = mult(mult(A_27,B_28),mult(C_29,B_28)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_239,plain,
! [A_36,A_37,B_38] : ( mult(mult(A_36,A_37),mult(ld(A_37,B_38),A_37)) = mult(mult(A_36,B_38),A_37) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_114]) ).
tff(c_420,plain,
! [A_42,A_43,B_44] : ( ld(mult(A_42,A_43),mult(mult(A_42,B_44),A_43)) = mult(ld(A_43,B_44),A_43) ),
inference(superposition,[status(thm),theory(equality)],[c_239,c_4]) ).
tff(c_608,plain,
! [B_48] : ( mult(ld(B_48,B_48),B_48) = B_48 ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_4]) ).
tff(c_8,plain,
! [A_8,B_7] : ( rd(mult(A_8,B_7),B_7) = A_8 ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_665,plain,
! [B_48] : ( rd(B_48,B_48) = ld(B_48,B_48) ),
inference(superposition,[status(thm),theory(equality)],[c_608,c_8]) ).
tff(c_51,plain,
! [A_20,B_21] : ( mult(A_20,ld(A_20,B_21)) = B_21 ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_60,plain,
! [B_21,A_20] : ( rd(B_21,ld(A_20,B_21)) = A_20 ),
inference(superposition,[status(thm),theory(equality)],[c_51,c_8]) ).
tff(c_278,plain,
! [A_36,A_37,B_38] : ( ld(mult(A_36,A_37),mult(mult(A_36,B_38),A_37)) = mult(ld(A_37,B_38),A_37) ),
inference(superposition,[status(thm),theory(equality)],[c_239,c_4]) ).
tff(c_127,plain,
! [A_27,B_28,C_29] : ( ld(mult(A_27,mult(B_28,C_29)),mult(mult(A_27,B_28),mult(C_29,B_28))) = B_28 ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_4]) ).
tff(c_642,plain,
! [A_27,B_48] : ( ld(mult(A_27,B_48),mult(mult(A_27,ld(B_48,B_48)),mult(B_48,ld(B_48,B_48)))) = ld(B_48,B_48) ),
inference(superposition,[status(thm),theory(equality)],[c_608,c_127]) ).
tff(c_814,plain,
! [B_52] : ( mult(ld(B_52,ld(B_52,B_52)),B_52) = ld(B_52,B_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_2,c_642]) ).
tff(c_868,plain,
! [B_52] : ( ld(ld(B_52,ld(B_52,B_52)),ld(B_52,B_52)) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_814,c_4]) ).
tff(c_313,plain,
! [A_39,B_40,C_41] : ( mult(mult(rd(A_39,mult(B_40,C_41)),B_40),mult(C_41,B_40)) = mult(A_39,B_40) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_114]) ).
tff(c_2002,plain,
! [A_76,B_77,A_78] : ( mult(mult(rd(A_76,B_77),A_78),mult(ld(A_78,B_77),A_78)) = mult(A_76,A_78) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_313]) ).
tff(c_4559,plain,
! [A_116,A_117,B_118] : ( mult(mult(A_116,A_117),mult(ld(A_117,ld(A_116,B_118)),A_117)) = mult(B_118,A_117) ),
inference(superposition,[status(thm),theory(equality)],[c_60,c_2002]) ).
tff(c_4759,plain,
! [B_52] : ( mult(mult(B_52,ld(B_52,ld(B_52,B_52))),mult(B_52,ld(B_52,ld(B_52,B_52)))) = mult(B_52,ld(B_52,ld(B_52,B_52))) ),
inference(superposition,[status(thm),theory(equality)],[c_868,c_4559]) ).
tff(c_4855,plain,
! [B_52] : ( mult(ld(B_52,B_52),ld(B_52,B_52)) = ld(B_52,B_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_4759]) ).
tff(c_204,plain,
! [A_33,B_34,C_35] : ( rd(mult(mult(A_33,B_34),mult(C_35,B_34)),B_34) = mult(A_33,mult(B_34,C_35)) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_8]) ).
tff(c_5895,plain,
! [A_128,A_129,B_130] : ( rd(mult(mult(A_128,ld(A_129,B_130)),B_130),ld(A_129,B_130)) = mult(A_128,mult(ld(A_129,B_130),A_129)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_204]) ).
tff(c_10462,plain,
! [B_171,A_172] : ( rd(mult(B_171,B_171),ld(A_172,B_171)) = mult(A_172,mult(ld(A_172,B_171),A_172)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_5895]) ).
tff(c_10748,plain,
! [B_52,A_172] : ( rd(ld(B_52,B_52),ld(A_172,ld(B_52,B_52))) = mult(A_172,mult(ld(A_172,ld(B_52,B_52)),A_172)) ),
inference(superposition,[status(thm),theory(equality)],[c_4855,c_10462]) ).
tff(c_10826,plain,
! [A_173,B_174] : ( mult(A_173,mult(ld(A_173,ld(B_174,B_174)),A_173)) = A_173 ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_10748]) ).
tff(c_1413,plain,
! [A_64,B_65,B_66] : ( mult(mult(rd(A_64,B_65),B_66),B_65) = mult(A_64,mult(ld(B_65,B_66),B_65)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_239]) ).
tff(c_1512,plain,
! [A_64,B_65,B_66] : ( rd(mult(A_64,mult(ld(B_65,B_66),B_65)),B_65) = mult(rd(A_64,B_65),B_66) ),
inference(superposition,[status(thm),theory(equality)],[c_1413,c_8]) ).
tff(c_10835,plain,
! [A_173,B_174] : ( mult(rd(A_173,A_173),ld(B_174,B_174)) = rd(A_173,A_173) ),
inference(superposition,[status(thm),theory(equality)],[c_10826,c_1512]) ).
tff(c_11052,plain,
! [A_173,B_174] : ( mult(ld(A_173,A_173),ld(B_174,B_174)) = ld(A_173,A_173) ),
inference(demodulation,[status(thm),theory(equality)],[c_665,c_665,c_10835]) ).
tff(c_11376,plain,
! [A_177,B_178] : ( mult(ld(A_177,A_177),ld(B_178,B_178)) = ld(A_177,A_177) ),
inference(demodulation,[status(thm),theory(equality)],[c_665,c_665,c_10835]) ).
tff(c_153,plain,
! [A_30,B_31,C_32] : ( ld(mult(A_30,mult(B_31,C_32)),mult(mult(A_30,B_31),mult(C_32,B_31))) = B_31 ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_4]) ).
tff(c_1834,plain,
! [A_73,B_74,C_75] : ( ld(mult(rd(A_73,B_74),mult(B_74,C_75)),mult(A_73,mult(C_75,B_74))) = B_74 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_153]) ).
tff(c_1985,plain,
! [A_6,C_75,B_74] : ( ld(mult(rd(rd(A_6,mult(C_75,B_74)),B_74),mult(B_74,C_75)),A_6) = B_74 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1834]) ).
tff(c_11411,plain,
! [A_6,A_177,B_178] : ( ld(mult(rd(rd(A_6,ld(A_177,A_177)),ld(B_178,B_178)),mult(ld(B_178,B_178),ld(A_177,A_177))),A_6) = ld(B_178,B_178) ),
inference(superposition,[status(thm),theory(equality)],[c_11376,c_1985]) ).
tff(c_11699,plain,
! [B_179,A_180] : ( ld(B_179,B_179) = ld(A_180,A_180) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_11052,c_11411]) ).
tff(c_1509,plain,
! [A_64,B_65,B_66] : ( ld(mult(rd(A_64,B_65),B_66),mult(A_64,mult(ld(B_65,B_66),B_65))) = B_65 ),
inference(superposition,[status(thm),theory(equality)],[c_1413,c_4]) ).
tff(c_11770,plain,
! [A_64,A_180,B_179] : ( ld(mult(rd(A_64,A_180),A_180),mult(A_64,mult(ld(B_179,B_179),A_180))) = A_180 ),
inference(superposition,[status(thm),theory(equality)],[c_11699,c_1509]) ).
tff(c_11968,plain,
! [B_179,A_180] : ( mult(ld(B_179,B_179),A_180) = A_180 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_11770]) ).
tff(c_12544,plain,
! [B_184,A_185] : ( mult(B_184,ld(A_185,A_185)) = B_184 ),
inference(superposition,[status(thm),theory(equality)],[c_11699,c_2]) ).
tff(c_12,plain,
! [X0_12] :
( ( mult('#skF_2'(X0_12),X0_12) != '#skF_2'(X0_12) )
| ( mult(X0_12,'#skF_1'(X0_12)) != '#skF_1'(X0_12) ) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_13016,plain,
! [A_185] : ( mult(ld(A_185,A_185),'#skF_1'(ld(A_185,A_185))) != '#skF_1'(ld(A_185,A_185)) ),
inference(superposition,[status(thm),theory(equality)],[c_12544,c_12]) ).
tff(c_14238,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11968,c_13016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP659+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/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
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Aug 3 21:57:26 EDT 2023
% 0.12/0.35 % CPUTime :
% 12.35/4.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.35/4.10
% 12.35/4.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.35/4.13
% 12.35/4.13 Inference rules
% 12.35/4.13 ----------------------
% 12.35/4.13 #Ref : 0
% 12.35/4.13 #Sup : 3840
% 12.35/4.13 #Fact : 0
% 12.35/4.13 #Define : 0
% 12.35/4.13 #Split : 0
% 12.35/4.13 #Chain : 0
% 12.35/4.13 #Close : 0
% 12.35/4.13
% 12.35/4.13 Ordering : KBO
% 12.35/4.13
% 12.35/4.13 Simplification rules
% 12.35/4.13 ----------------------
% 12.35/4.13 #Subsume : 41
% 12.35/4.13 #Demod : 3626
% 12.35/4.13 #Tautology : 1066
% 12.35/4.13 #SimpNegUnit : 0
% 12.35/4.13 #BackRed : 8
% 12.35/4.13
% 12.35/4.13 #Partial instantiations: 0
% 12.35/4.13 #Strategies tried : 1
% 12.35/4.13
% 12.35/4.13 Timing (in seconds)
% 12.35/4.13 ----------------------
% 12.35/4.14 Preprocessing : 0.43
% 12.35/4.14 Parsing : 0.24
% 12.35/4.14 CNF conversion : 0.03
% 12.35/4.14 Main loop : 2.65
% 12.35/4.14 Inferencing : 0.89
% 12.35/4.14 Reduction : 1.15
% 12.35/4.14 Demodulation : 1.04
% 12.35/4.14 BG Simplification : 0.14
% 12.35/4.14 Subsumption : 0.34
% 12.35/4.14 Abstraction : 0.24
% 12.35/4.14 MUC search : 0.00
% 12.35/4.14 Cooper : 0.00
% 12.35/4.14 Total : 3.13
% 12.35/4.14 Index Insertion : 0.00
% 12.35/4.14 Index Deletion : 0.00
% 12.35/4.14 Index Matching : 0.00
% 12.35/4.14 BG Taut test : 0.00
%------------------------------------------------------------------------------