TSTP Solution File: GRP660-14 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% 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 : n018.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 : Unsatisfiable 63.59s 34.84s
% Output : CNFRefutation 63.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 51 unt; 5 typ; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 100 (; 100 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > x1 > x0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(x1,type,
x1: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(x0,type,
x0: $i ).
tff(f_29,axiom,
! [A,B] : ( mult(rd(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B] : ( ld(A,mult(A,B)) = B ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] : ( rd(mult(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A,B,C] : ( mult(mult(mult(A,B),C),A) = mult(A,mult(B,mult(C,A))) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( mult(A,ld(A,B)) = B ),
file(unknown,unknown) ).
tff(f_35,axiom,
mult(ld(x1,x1),x0) != x0,
file(unknown,unknown) ).
tff(c_39,plain,
! [A_16,B_17] : ( mult(rd(A_16,B_17),B_17) = A_16 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_4,plain,
! [A_3,B_4] : ( ld(A_3,mult(A_3,B_4)) = B_4 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_45,plain,
! [A_16,B_17] : ( ld(rd(A_16,B_17),A_16) = B_17 ),
inference(superposition,[status(thm),theory(equality)],[c_39,c_4]) ).
tff(c_6,plain,
! [A_5,B_6] : ( mult(rd(A_5,B_6),B_6) = A_5 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_8,plain,
! [A_7,B_8] : ( rd(mult(A_7,B_8),B_8) = A_7 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_71,plain,
! [A_20,B_21,C_22] : ( mult(mult(mult(A_20,B_21),C_22),A_20) = mult(A_20,mult(B_21,mult(C_22,A_20))) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_343,plain,
! [A_36,B_37,C_38] : ( rd(mult(A_36,mult(B_37,mult(C_38,A_36))),A_36) = mult(mult(A_36,B_37),C_38) ),
inference(superposition,[status(thm),theory(equality)],[c_71,c_8]) ).
tff(c_1227,plain,
! [A_66,A_67,C_68] : ( mult(mult(A_66,rd(A_67,mult(C_68,A_66))),C_68) = rd(mult(A_66,A_67),A_66) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_343]) ).
tff(c_1657,plain,
! [A_75,A_76,C_77] : ( ld(mult(A_75,rd(A_76,mult(C_77,A_75))),rd(mult(A_75,A_76),A_75)) = C_77 ),
inference(superposition,[status(thm),theory(equality)],[c_1227,c_4]) ).
tff(c_1766,plain,
! [B_78,C_79] : ( ld(mult(B_78,rd(B_78,mult(C_79,B_78))),B_78) = C_79 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1657]) ).
tff(c_1941,plain,
! [B_82,A_83] : ( ld(mult(B_82,rd(B_82,A_83)),B_82) = rd(A_83,B_82) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1766]) ).
tff(c_2,plain,
! [A_1,B_2] : ( mult(A_1,ld(A_1,B_2)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_1956,plain,
! [B_82,A_83] : ( mult(mult(B_82,rd(B_82,A_83)),rd(A_83,B_82)) = B_82 ),
inference(superposition,[status(thm),theory(equality)],[c_1941,c_2]) ).
tff(c_616,plain,
! [A_48,B_49,C_50] : ( mult(rd(A_48,B_49),mult(B_49,mult(C_50,rd(A_48,B_49)))) = mult(mult(A_48,C_50),rd(A_48,B_49)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_71]) ).
tff(c_6215,plain,
! [A_147,B_148,C_149] : ( ld(rd(A_147,B_148),mult(mult(A_147,C_149),rd(A_147,B_148))) = mult(B_148,mult(C_149,rd(A_147,B_148))) ),
inference(superposition,[status(thm),theory(equality)],[c_616,c_4]) ).
tff(c_6352,plain,
! [A_83] : ( mult(A_83,mult(rd(A_83,A_83),rd(A_83,A_83))) = ld(rd(A_83,A_83),A_83) ),
inference(superposition,[status(thm),theory(equality)],[c_1956,c_6215]) ).
tff(c_6472,plain,
! [A_150] : ( mult(A_150,mult(rd(A_150,A_150),rd(A_150,A_150))) = A_150 ),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_6352]) ).
tff(c_6621,plain,
! [A_150] : ( mult(rd(A_150,A_150),rd(A_150,A_150)) = ld(A_150,A_150) ),
inference(superposition,[status(thm),theory(equality)],[c_6472,c_4]) ).
tff(c_51,plain,
! [A_18,B_19] : ( rd(mult(A_18,B_19),B_19) = A_18 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_66,plain,
! [B_2,A_1] : ( rd(B_2,ld(A_1,B_2)) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_51]) ).
tff(c_1971,plain,
! [A_1,B_2] : ( rd(ld(A_1,B_2),B_2) = ld(mult(B_2,A_1),B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_1941]) ).
tff(c_3785,plain,
! [A_115,A_116,C_117] : ( rd(rd(mult(A_115,A_116),A_115),C_117) = mult(A_115,rd(A_116,mult(C_117,A_115))) ),
inference(superposition,[status(thm),theory(equality)],[c_1227,c_8]) ).
tff(c_11522,plain,
! [A_199,B_200,C_201] : ( mult(A_199,rd(ld(A_199,B_200),mult(C_201,A_199))) = rd(rd(B_200,A_199),C_201) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3785]) ).
tff(c_11846,plain,
! [A_1,C_201] : ( mult(A_1,ld(mult(mult(C_201,A_1),A_1),mult(C_201,A_1))) = rd(rd(mult(C_201,A_1),A_1),C_201) ),
inference(superposition,[status(thm),theory(equality)],[c_1971,c_11522]) ).
tff(c_26155,plain,
! [A_304,C_305] : ( mult(A_304,ld(mult(mult(C_305,A_304),A_304),mult(C_305,A_304))) = rd(C_305,C_305) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_11846]) ).
tff(c_26581,plain,
! [A_83] : ( mult(rd(A_83,A_83),ld(A_83,mult(A_83,rd(A_83,A_83)))) = rd(A_83,A_83) ),
inference(superposition,[status(thm),theory(equality)],[c_1956,c_26155]) ).
tff(c_26719,plain,
! [A_83] : ( rd(A_83,A_83) = ld(A_83,A_83) ),
inference(demodulation,[status(thm),theory(equality)],[c_6621,c_4,c_26581]) ).
tff(c_26743,plain,
! [A_150] : ( mult(ld(A_150,A_150),ld(A_150,A_150)) = ld(A_150,A_150) ),
inference(demodulation,[status(thm),theory(equality)],[c_26719,c_26719,c_6621]) ).
tff(c_6772,plain,
! [A_152] : ( mult(rd(A_152,A_152),rd(A_152,A_152)) = ld(A_152,A_152) ),
inference(superposition,[status(thm),theory(equality)],[c_6472,c_4]) ).
tff(c_6880,plain,
! [A_152] : ( ld(rd(A_152,A_152),ld(A_152,A_152)) = rd(A_152,A_152) ),
inference(superposition,[status(thm),theory(equality)],[c_6772,c_4]) ).
tff(c_26741,plain,
! [A_152] : ( ld(ld(A_152,A_152),ld(A_152,A_152)) = ld(A_152,A_152) ),
inference(demodulation,[status(thm),theory(equality)],[c_26719,c_26719,c_6880]) ).
tff(c_383,plain,
! [B_6,B_37,A_5] : ( rd(mult(B_6,mult(B_37,A_5)),B_6) = mult(mult(B_6,B_37),rd(A_5,B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_343]) ).
tff(c_101,plain,
! [A_1,B_2,C_22] : ( mult(A_1,mult(ld(A_1,B_2),mult(C_22,A_1))) = mult(mult(B_2,C_22),A_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_71]) ).
tff(c_28571,plain,
! [C_313,A_314,B_315] : ( rd(mult(mult(C_313,A_314),mult(mult(B_315,C_313),A_314)),mult(C_313,A_314)) = mult(mult(mult(C_313,A_314),A_314),ld(A_314,B_315)) ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_343]) ).
tff(c_28751,plain,
! [A_150,B_315] : ( rd(mult(mult(ld(A_150,A_150),ld(A_150,A_150)),mult(mult(B_315,ld(A_150,A_150)),ld(A_150,A_150))),ld(A_150,A_150)) = mult(mult(mult(ld(A_150,A_150),ld(A_150,A_150)),ld(A_150,A_150)),ld(ld(A_150,A_150),B_315)) ),
inference(superposition,[status(thm),theory(equality)],[c_26743,c_28571]) ).
tff(c_61078,plain,
! [A_432,B_433] : ( mult(mult(ld(A_432,A_432),mult(B_433,ld(A_432,A_432))),ld(A_432,A_432)) = B_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_26741,c_2,c_26743,c_26743,c_26719,c_383,c_26743,c_28751]) ).
tff(c_115929,plain,
! [A_577,A_578] : ( mult(mult(ld(A_577,A_577),A_578),ld(A_577,A_577)) = rd(A_578,ld(A_577,A_577)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_61078]) ).
tff(c_10,plain,
! [A_9,B_10,C_11] : ( mult(mult(mult(A_9,B_10),C_11),A_9) = mult(A_9,mult(B_10,mult(C_11,A_9))) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_116502,plain,
! [A_577,A_578] : ( mult(ld(A_577,A_577),mult(A_578,mult(ld(A_577,A_577),ld(A_577,A_577)))) = mult(rd(A_578,ld(A_577,A_577)),ld(A_577,A_577)) ),
inference(superposition,[status(thm),theory(equality)],[c_115929,c_10]) ).
tff(c_116761,plain,
! [A_577,A_578] : ( mult(ld(A_577,A_577),mult(A_578,ld(A_577,A_577))) = A_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_26743,c_6,c_116502]) ).
tff(c_29113,plain,
! [A_150,B_315] : ( mult(mult(ld(A_150,A_150),mult(B_315,ld(A_150,A_150))),ld(A_150,A_150)) = B_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_26741,c_2,c_26743,c_26743,c_26719,c_383,c_26743,c_28751]) ).
tff(c_116791,plain,
! [B_315,A_150] : ( mult(B_315,ld(A_150,A_150)) = B_315 ),
inference(demodulation,[status(thm),theory(equality)],[c_116761,c_29113]) ).
tff(c_117699,plain,
! [A_577,A_578] : ( mult(ld(A_577,A_577),A_578) = A_578 ),
inference(demodulation,[status(thm),theory(equality)],[c_116791,c_116761]) ).
tff(c_12,plain,
mult(ld(x1,x1),x0) != x0,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_118782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117699,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% 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
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 22:20:20 EDT 2023
% 0.16/0.37 % CPUTime :
% 63.59/34.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.59/34.85
% 63.59/34.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.72/34.88
% 63.72/34.88 Inference rules
% 63.72/34.88 ----------------------
% 63.72/34.88 #Ref : 0
% 63.72/34.88 #Sup : 32366
% 63.72/34.88 #Fact : 0
% 63.72/34.88 #Define : 0
% 63.72/34.88 #Split : 0
% 63.72/34.88 #Chain : 0
% 63.72/34.88 #Close : 0
% 63.72/34.88
% 63.72/34.88 Ordering : KBO
% 63.72/34.88
% 63.72/34.88 Simplification rules
% 63.72/34.88 ----------------------
% 63.72/34.88 #Subsume : 8
% 63.72/34.88 #Demod : 54256
% 63.72/34.88 #Tautology : 5288
% 63.72/34.88 #SimpNegUnit : 0
% 63.72/34.88 #BackRed : 54
% 63.72/34.88
% 63.72/34.88 #Partial instantiations: 0
% 63.72/34.88 #Strategies tried : 1
% 63.72/34.88
% 63.72/34.88 Timing (in seconds)
% 63.72/34.88 ----------------------
% 63.72/34.89 Preprocessing : 0.40
% 63.72/34.89 Parsing : 0.22
% 63.72/34.89 CNF conversion : 0.02
% 63.72/34.89 Main loop : 33.39
% 63.72/34.89 Inferencing : 4.48
% 63.72/34.89 Reduction : 23.22
% 63.72/34.89 Demodulation : 22.04
% 63.72/34.89 BG Simplification : 0.84
% 63.72/34.89 Subsumption : 3.71
% 63.72/34.89 Abstraction : 1.98
% 63.72/34.89 MUC search : 0.00
% 63.72/34.89 Cooper : 0.00
% 63.72/34.89 Total : 33.85
% 63.72/34.89 Index Insertion : 0.00
% 63.72/34.89 Index Deletion : 0.00
% 63.72/34.89 Index Matching : 0.00
% 63.72/34.89 BG Taut test : 0.00
%------------------------------------------------------------------------------