TSTP Solution File: GRP415-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP415-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n004.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 10:41:12 EDT 2023
% Result : Unsatisfiable 22.04s 9.72s
% Output : CNFRefutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 29 unt; 4 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 86 (; 86 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > b1 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(f_24,axiom,
! [A,B,C] : ( inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C ),
file(unknown,unknown) ).
tff(f_26,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file(unknown,unknown) ).
tff(c_5,plain,
! [A_4,B_5,C_6] : ( inverse(multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(C_6)))),inverse(multiply(inverse(A_4),A_4)))))) = C_6 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,inverse(C_3)))),inverse(multiply(inverse(A_1),A_1)))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_11,plain,
! [B_5,A_4,B_2,A_1,C_6] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(C_6)))),inverse(multiply(inverse(A_4),A_4))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6))),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_106,plain,
! [A_12,B_13,C_14] : ( inverse(inverse(multiply(A_12,inverse(multiply(inverse(multiply(inverse(multiply(B_13,A_12)),multiply(B_13,C_14))),inverse(multiply(inverse(A_12),A_12))))))) = C_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_2]) ).
tff(c_151,plain,
! [A_15,B_16,C_17] : ( inverse(multiply(A_15,inverse(multiply(inverse(multiply(inverse(multiply(B_16,A_15)),multiply(B_16,inverse(C_17)))),inverse(multiply(inverse(A_15),A_15)))))) = C_17 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_106]) ).
tff(c_236,plain,
! [A_18,B_19,C_20] : ( multiply(A_18,inverse(multiply(inverse(multiply(inverse(multiply(B_19,A_18)),multiply(B_19,inverse(inverse(C_20))))),inverse(multiply(inverse(A_18),A_18))))) = C_20 ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_11]) ).
tff(c_136,plain,
! [A_4,B_5,C_6] : ( inverse(multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(C_6)))),inverse(multiply(inverse(A_4),A_4)))))) = C_6 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_106]) ).
tff(c_329,plain,
! [B_21,A_22,C_23,A_24] : ( multiply(inverse(multiply(inverse(multiply(B_21,A_22)),multiply(B_21,inverse(inverse(C_23))))),inverse(multiply(inverse(A_22),A_22))) = inverse(multiply(A_24,inverse(multiply(inverse(multiply(inverse(multiply(A_22,A_24)),C_23)),inverse(multiply(inverse(A_24),A_24)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_136]) ).
tff(c_32,plain,
! [A_1,B_2,C_3] : ( inverse(inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_3))),inverse(multiply(inverse(A_1),A_1))))))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_2]) ).
tff(c_413,plain,
! [B_21,A_22,C_3] : ( inverse(multiply(inverse(multiply(inverse(multiply(B_21,A_22)),multiply(B_21,inverse(inverse(multiply(A_22,C_3)))))),inverse(multiply(inverse(A_22),A_22)))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_329,c_32]) ).
tff(c_190,plain,
! [A_4,B_5,C_17] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(inverse(C_17))))),inverse(multiply(inverse(A_4),A_4))))) = C_17 ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_11]) ).
tff(c_578,plain,
! [B_5,B_2,A_1,C_6,B_21] : ( multiply(inverse(multiply(inverse(multiply(B_21,B_5)),multiply(B_21,inverse(inverse(multiply(B_5,inverse(C_6))))))),inverse(multiply(inverse(B_5),B_5))) = inverse(inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6))),inverse(multiply(inverse(A_1),A_1))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_329]) ).
tff(c_1125,plain,
! [B_32,B_33,C_34] : ( multiply(inverse(multiply(inverse(multiply(B_32,B_33)),multiply(B_32,inverse(inverse(multiply(B_33,inverse(C_34))))))),inverse(multiply(inverse(B_33),B_33))) = C_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_578]) ).
tff(c_1227,plain,
! [B_33,B_5,C_34,A_4,A_1,B_32] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(inverse(multiply(inverse(B_33),B_33)))))),inverse(multiply(inverse(A_4),A_4))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B_32,B_33)),multiply(B_32,inverse(inverse(multiply(B_33,inverse(C_34))))))),A_1)),C_34)),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1125,c_11]) ).
tff(c_6962,plain,
! [A_69,B_70,B_71,C_72] : ( inverse(multiply(A_69,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B_70,B_71)),multiply(B_70,inverse(inverse(multiply(B_71,inverse(C_72))))))),A_69)),C_72)),inverse(multiply(inverse(A_69),A_69)))))) = multiply(inverse(B_71),B_71) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1227]) ).
tff(c_7435,plain,
! [A_22,C_72] : ( inverse(multiply(inverse(multiply(inverse(A_22),A_22)),inverse(multiply(inverse(multiply(inverse(C_72),C_72)),inverse(multiply(inverse(inverse(multiply(inverse(A_22),A_22))),inverse(multiply(inverse(A_22),A_22)))))))) = multiply(inverse(A_22),A_22) ),
inference(superposition,[status(thm),theory(equality)],[c_413,c_6962]) ).
tff(c_450,plain,
! [A_24,C_23,B_2,A_1,A_22] : ( multiply(A_22,inverse(inverse(multiply(A_24,inverse(multiply(inverse(multiply(inverse(multiply(A_22,A_24)),C_23)),inverse(multiply(inverse(A_24),A_24)))))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,inverse(C_23)))),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_329,c_11]) ).
tff(c_938,plain,
! [A_29,A_30,C_31] : ( multiply(A_29,inverse(inverse(multiply(A_30,inverse(multiply(inverse(multiply(inverse(multiply(A_29,A_30)),C_31)),inverse(multiply(inverse(A_30),A_30)))))))) = C_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_11,c_450]) ).
tff(c_579,plain,
! [A_22,A_24,C_23] : ( multiply(A_22,inverse(inverse(multiply(A_24,inverse(multiply(inverse(multiply(inverse(multiply(A_22,A_24)),C_23)),inverse(multiply(inverse(A_24),A_24)))))))) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_11,c_450]) ).
tff(c_11658,plain,
! [A_88,A_89,C_90,A_91] : ( multiply(A_88,inverse(inverse(multiply(A_89,inverse(multiply(inverse(C_90),inverse(multiply(inverse(A_89),A_89)))))))) = inverse(inverse(multiply(A_91,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_88,A_89)),A_91)),C_90)),inverse(multiply(inverse(A_91),A_91))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_938,c_579]) ).
tff(c_13047,plain,
! [A_92,A_93,C_94] : ( multiply(inverse(multiply(A_92,A_93)),multiply(A_92,inverse(inverse(multiply(A_93,inverse(multiply(inverse(C_94),inverse(multiply(inverse(A_93),A_93))))))))) = C_94 ),
inference(superposition,[status(thm),theory(equality)],[c_11658,c_579]) ).
tff(c_15785,plain,
! [A_104,A_105,C_106] : ( multiply(inverse(multiply(A_104,inverse(multiply(inverse(A_105),A_105)))),multiply(A_104,inverse(multiply(inverse(A_105),A_105)))) = multiply(inverse(C_106),C_106) ),
inference(superposition,[status(thm),theory(equality)],[c_7435,c_13047]) ).
tff(c_13415,plain,
! [A_92,A_22,C_72] : ( multiply(inverse(multiply(A_92,inverse(multiply(inverse(A_22),A_22)))),multiply(A_92,inverse(multiply(inverse(A_22),A_22)))) = multiply(inverse(C_72),C_72) ),
inference(superposition,[status(thm),theory(equality)],[c_7435,c_13047]) ).
tff(c_17176,plain,
! [C_108,C_107] : ( multiply(inverse(C_108),C_108) = multiply(inverse(C_107),C_107) ),
inference(superposition,[status(thm),theory(equality)],[c_15785,c_13415]) ).
tff(c_4,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_18358,plain,
! [C_107] : ( multiply(inverse(a1),a1) != multiply(inverse(C_107),C_107) ),
inference(superposition,[status(thm),theory(equality)],[c_17176,c_4]) ).
tff(c_18543,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_18358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP415-1 : TPTP v8.1.2. Released v2.6.0.
% 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
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 21:51:11 EDT 2023
% 0.13/0.33 % CPUTime :
% 22.04/9.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.04/9.73
% 22.04/9.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.04/9.76
% 22.04/9.76 Inference rules
% 22.04/9.76 ----------------------
% 22.04/9.76 #Ref : 1
% 22.04/9.76 #Sup : 5522
% 22.04/9.76 #Fact : 0
% 22.04/9.76 #Define : 0
% 22.04/9.76 #Split : 0
% 22.04/9.76 #Chain : 0
% 22.04/9.76 #Close : 0
% 22.04/9.76
% 22.04/9.76 Ordering : KBO
% 22.04/9.76
% 22.04/9.76 Simplification rules
% 22.04/9.76 ----------------------
% 22.04/9.76 #Subsume : 318
% 22.04/9.76 #Demod : 1765
% 22.04/9.76 #Tautology : 499
% 22.04/9.76 #SimpNegUnit : 0
% 22.04/9.76 #BackRed : 1
% 22.04/9.76
% 22.04/9.76 #Partial instantiations: 0
% 22.04/9.76 #Strategies tried : 1
% 22.04/9.76
% 22.04/9.76 Timing (in seconds)
% 22.04/9.76 ----------------------
% 22.04/9.76 Preprocessing : 0.39
% 22.04/9.76 Parsing : 0.20
% 22.04/9.76 CNF conversion : 0.02
% 22.04/9.76 Main loop : 8.31
% 22.04/9.76 Inferencing : 2.48
% 22.04/9.76 Reduction : 4.87
% 22.04/9.76 Demodulation : 4.59
% 22.04/9.76 BG Simplification : 0.54
% 22.04/9.76 Subsumption : 0.29
% 22.04/9.76 Abstraction : 1.02
% 22.04/9.76 MUC search : 0.00
% 22.04/9.76 Cooper : 0.00
% 22.04/9.76 Total : 8.76
% 22.04/9.76 Index Insertion : 0.00
% 22.04/9.76 Index Deletion : 0.00
% 22.04/9.76 Index Matching : 0.00
% 22.04/9.76 BG Taut test : 0.00
%------------------------------------------------------------------------------