TSTP Solution File: GRP686-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP686-1 : 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 : n024.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 10:41:56 EDT 2023
% Result : Unsatisfiable 129.19s 78.98s
% Output : CNFRefutation 129.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 52 unt; 7 typ; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 109 (; 109 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > unit > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(b,type,
b: $i ).
tff(unit,type,
unit: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_25,axiom,
! [A,B] : ( mult(A,ld(A,B)) = B ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B] : ( mult(rd(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B,C] : ( mult(A,mult(B,mult(B,C))) = mult(mult(A,mult(B,B)),C) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B] : ( ld(A,mult(A,B)) = B ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] : ( rd(mult(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_39,axiom,
mult(mult(a,a),mult(b,c)) != mult(mult(a,mult(a,b)),c),
file(unknown,unknown) ).
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_6,plain,
! [A_5,B_6] : ( mult(rd(A_5,B_6),B_6) = A_5 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_281,plain,
! [A_32,B_33,C_34] : ( mult(mult(A_32,mult(B_33,B_33)),C_34) = mult(A_32,mult(B_33,mult(B_33,C_34))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_325,plain,
! [A_5,B_33,C_34] : ( mult(rd(A_5,mult(B_33,B_33)),mult(B_33,mult(B_33,C_34))) = mult(A_5,C_34) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_281]) ).
tff(c_12,plain,
! [A_10] : ( mult(unit,A_10) = A_10 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_341,plain,
! [B_33,C_34] : ( mult(unit,mult(B_33,mult(B_33,C_34))) = mult(mult(B_33,B_33),C_34) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_281]) ).
tff(c_353,plain,
! [B_35,C_36] : ( mult(mult(B_35,B_35),C_36) = mult(B_35,mult(B_35,C_36)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_341]) ).
tff(c_432,plain,
! [B_37,B_38] : ( mult(B_37,mult(B_37,ld(mult(B_37,B_37),B_38))) = B_38 ),
inference(superposition,[status(thm),theory(equality)],[c_353,c_2]) ).
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_680,plain,
! [B_43,B_44] : ( mult(B_43,ld(mult(B_43,B_43),B_44)) = ld(B_43,B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_432,c_4]) ).
tff(c_703,plain,
! [B_43,B_44] : ( ld(mult(B_43,B_43),B_44) = ld(B_43,ld(B_43,B_44)) ),
inference(superposition,[status(thm),theory(equality)],[c_680,c_4]) ).
tff(c_352,plain,
! [B_33,C_34] : ( mult(mult(B_33,B_33),C_34) = mult(B_33,mult(B_33,C_34)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_341]) ).
tff(c_10,plain,
! [A_9] : ( mult(A_9,unit) = A_9 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_1955,plain,
! [A_67,B_68,C_69] : ( ld(mult(A_67,mult(B_68,B_68)),mult(A_67,mult(B_68,mult(B_68,C_69)))) = C_69 ),
inference(superposition,[status(thm),theory(equality)],[c_281,c_4]) ).
tff(c_2717,plain,
! [A_81,A_82,B_83] : ( ld(mult(A_81,mult(A_82,A_82)),mult(A_81,mult(A_82,B_83))) = ld(A_82,B_83) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1955]) ).
tff(c_3276,plain,
! [A_88,A_89] : ( ld(mult(A_88,mult(A_89,A_89)),mult(A_88,A_89)) = ld(A_89,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_2717]) ).
tff(c_165,plain,
! [A_25,B_26] : ( rd(mult(A_25,B_26),B_26) = A_25 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_181,plain,
! [B_2,A_1] : ( rd(B_2,ld(A_1,B_2)) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_165]) ).
tff(c_3430,plain,
! [A_90,A_91] : ( rd(mult(A_90,A_91),ld(A_91,unit)) = mult(A_90,mult(A_91,A_91)) ),
inference(superposition,[status(thm),theory(equality)],[c_3276,c_181]) ).
tff(c_4420,plain,
! [A_103,B_104] : ( mult(rd(A_103,B_104),mult(B_104,B_104)) = rd(A_103,ld(B_104,unit)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_3430]) ).
tff(c_4524,plain,
! [A_103,B_33] : ( mult(rd(A_103,mult(B_33,B_33)),mult(B_33,mult(B_33,mult(B_33,B_33)))) = rd(A_103,ld(mult(B_33,B_33),unit)) ),
inference(superposition,[status(thm),theory(equality)],[c_352,c_4420]) ).
tff(c_5266,plain,
! [A_111,B_112] : ( rd(A_111,ld(B_112,ld(B_112,unit))) = mult(A_111,mult(B_112,B_112)) ),
inference(demodulation,[status(thm),theory(equality)],[c_325,c_703,c_4524]) ).
tff(c_5438,plain,
! [B_113] : ( mult(ld(B_113,unit),mult(B_113,B_113)) = B_113 ),
inference(superposition,[status(thm),theory(equality)],[c_5266,c_181]) ).
tff(c_321,plain,
! [A_32,B_33,B_2] : ( mult(A_32,mult(B_33,mult(B_33,ld(mult(A_32,mult(B_33,B_33)),B_2)))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_281]) ).
tff(c_5492,plain,
! [B_113,B_2] : ( mult(ld(B_113,unit),mult(B_113,mult(B_113,ld(B_113,B_2)))) = B_2 ),
inference(superposition,[status(thm),theory(equality)],[c_5438,c_321]) ).
tff(c_6150,plain,
! [B_119,B_120] : ( mult(ld(B_119,unit),mult(B_119,B_120)) = B_120 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5492]) ).
tff(c_6262,plain,
! [B_119,B_120] : ( ld(ld(B_119,unit),B_120) = mult(B_119,B_120) ),
inference(superposition,[status(thm),theory(equality)],[c_6150,c_4]) ).
tff(c_6341,plain,
! [A_1,B_2] : ( mult(ld(A_1,unit),B_2) = ld(A_1,B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_6150]) ).
tff(c_5575,plain,
! [B_113,B_2] : ( mult(ld(B_113,unit),mult(B_113,B_2)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5492]) ).
tff(c_1014,plain,
! [A_50,B_51,B_52] : ( mult(A_50,mult(B_51,mult(B_51,ld(mult(A_50,mult(B_51,B_51)),B_52)))) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_281]) ).
tff(c_10767,plain,
! [B_163,A_164,B_165] : ( mult(B_163,mult(B_163,ld(mult(A_164,mult(B_163,B_163)),B_165))) = ld(A_164,B_165) ),
inference(superposition,[status(thm),theory(equality)],[c_1014,c_4]) ).
tff(c_10877,plain,
! [B_163,A_164,B_165] : ( mult(B_163,ld(mult(A_164,mult(B_163,B_163)),B_165)) = ld(B_163,ld(A_164,B_165)) ),
inference(superposition,[status(thm),theory(equality)],[c_10767,c_4]) ).
tff(c_2013,plain,
! [B_33,B_2,A_67] : ( mult(B_33,ld(mult(B_33,mult(B_33,B_33)),B_2)) = ld(mult(A_67,mult(B_33,B_33)),mult(A_67,B_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_321,c_1955]) ).
tff(c_60953,plain,
! [A_420,B_421,B_422] : ( ld(mult(A_420,mult(B_421,B_421)),mult(A_420,B_422)) = ld(B_421,ld(B_421,B_422)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10877,c_2013]) ).
tff(c_61338,plain,
! [B_113,B_421,B_2] : ( ld(mult(ld(B_113,unit),mult(B_421,B_421)),B_2) = ld(B_421,ld(B_421,mult(B_113,B_2))) ),
inference(superposition,[status(thm),theory(equality)],[c_5575,c_60953]) ).
tff(c_61556,plain,
! [B_113,B_421,B_2] : ( ld(ld(B_113,mult(B_421,B_421)),B_2) = ld(B_421,ld(B_421,mult(B_113,B_2))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6341,c_61338]) ).
tff(c_94150,plain,
! [B_532,B_533,B_534] : ( ld(ld(B_532,mult(B_533,B_533)),B_534) = ld(B_533,ld(B_533,mult(B_532,B_534))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6341,c_61338]) ).
tff(c_94685,plain,
! [B_533,B_532,B_2] : ( mult(ld(B_533,ld(B_533,mult(B_532,unit))),B_2) = ld(ld(B_532,mult(B_533,B_533)),B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_94150,c_6341]) ).
tff(c_137736,plain,
! [B_654,B_655,B_656] : ( mult(ld(B_654,ld(B_654,B_655)),B_656) = ld(B_654,ld(B_654,mult(B_655,B_656))) ),
inference(demodulation,[status(thm),theory(equality)],[c_61556,c_10,c_94685]) ).
tff(c_139358,plain,
! [B_119,B_120,B_656] : ( ld(ld(B_119,unit),ld(ld(B_119,unit),mult(B_120,B_656))) = mult(ld(ld(B_119,unit),mult(B_119,B_120)),B_656) ),
inference(superposition,[status(thm),theory(equality)],[c_6262,c_137736]) ).
tff(c_139832,plain,
! [B_119,B_120,B_656] : ( mult(mult(B_119,mult(B_119,B_120)),B_656) = mult(B_119,mult(B_119,mult(B_120,B_656))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6262,c_6262,c_6262,c_139358]) ).
tff(c_16,plain,
mult(mult(a,mult(a,b)),c) != mult(mult(a,a),mult(b,c)),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_431,plain,
mult(mult(a,mult(a,b)),c) != mult(a,mult(a,mult(b,c))),
inference(demodulation,[status(thm),theory(equality)],[c_352,c_16]) ).
tff(c_211970,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_139832,c_431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GRP686-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n024.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 22:07:00 EDT 2023
% 0.16/0.37 % CPUTime :
% 129.19/78.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.19/78.99
% 129.19/78.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 129.33/79.02
% 129.33/79.02 Inference rules
% 129.33/79.02 ----------------------
% 129.33/79.02 #Ref : 0
% 129.33/79.02 #Sup : 50021
% 129.33/79.02 #Fact : 0
% 129.33/79.02 #Define : 0
% 129.33/79.02 #Split : 0
% 129.33/79.02 #Chain : 0
% 129.33/79.02 #Close : 0
% 129.33/79.02
% 129.33/79.02 Ordering : KBO
% 129.33/79.02
% 129.33/79.02 Simplification rules
% 129.33/79.02 ----------------------
% 129.33/79.02 #Subsume : 0
% 129.33/79.02 #Demod : 137576
% 129.33/79.02 #Tautology : 13092
% 129.33/79.02 #SimpNegUnit : 0
% 129.33/79.02 #BackRed : 58
% 129.33/79.02
% 129.33/79.02 #Partial instantiations: 0
% 129.33/79.02 #Strategies tried : 1
% 129.33/79.02
% 129.33/79.02 Timing (in seconds)
% 129.33/79.02 ----------------------
% 129.33/79.03 Preprocessing : 0.42
% 129.33/79.03 Parsing : 0.24
% 129.33/79.03 CNF conversion : 0.02
% 129.33/79.03 Main loop : 77.50
% 129.33/79.03 Inferencing : 5.87
% 129.33/79.03 Reduction : 62.55
% 129.33/79.03 Demodulation : 60.18
% 129.33/79.03 BG Simplification : 1.51
% 129.33/79.03 Subsumption : 5.77
% 129.33/79.03 Abstraction : 3.02
% 129.33/79.03 MUC search : 0.00
% 129.33/79.03 Cooper : 0.00
% 129.33/79.03 Total : 77.98
% 129.33/79.03 Index Insertion : 0.00
% 129.33/79.03 Index Deletion : 0.00
% 129.33/79.03 Index Matching : 0.00
% 129.33/79.03 BG Taut test : 0.00
%------------------------------------------------------------------------------