TSTP Solution File: GRP750-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Fri Sep 1 15:58:25 EDT 2023
% Result : Unsatisfiable 61.93s 9.24s
% Output : Refutation 61.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 326 (; 326 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f242459,plain,
$false,
inference(trivial_inequality_removal,[],[f241853]) ).
fof(f241853,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c)),
inference(superposition,[],[f7,f138576]) ).
fof(f138576,plain,
! [X65,X66,X67] : mult(mult(X65,X67),mult(X65,X66)) = mult(mult(X65,X65),mult(X67,X66)),
inference(forward_demodulation,[],[f138575,f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',f04) ).
fof(f138575,plain,
! [X65,X66,X67] : mult(mult(X65,X67),mult(X65,X66)) = mult(mult(X65,rd(mult(X65,ld(X66,X66)),ld(X66,X66))),mult(X67,X66)),
inference(forward_demodulation,[],[f138574,f43585]) ).
fof(f43585,plain,
! [X58,X59,X60,X61] : rd(mult(X59,ld(X60,X58)),ld(X61,X58)) = rd(mult(X61,ld(X60,mult(X59,X58))),X58),
inference(superposition,[],[f23247,f23686]) ).
fof(f23686,plain,
! [X2,X3,X4] : ld(X2,mult(X4,X3)) = ld(rd(X3,X3),mult(X4,ld(X2,X3))),
inference(superposition,[],[f2,f13176]) ).
fof(f13176,plain,
! [X16,X17,X15] : mult(X15,X17) = mult(X16,ld(rd(X17,X17),mult(X15,ld(X16,X17)))),
inference(forward_demodulation,[],[f13028,f590]) ).
fof(f590,plain,
! [X14,X12,X13] : ld(rd(X12,X13),X14) = rd(ld(X12,mult(X14,mult(X13,X13))),X13),
inference(superposition,[],[f4,f198]) ).
fof(f198,plain,
! [X2,X0,X1] : mult(ld(rd(X0,X1),X2),X1) = ld(X0,mult(X2,mult(X1,X1))),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
! [X3,X4,X5] : mult(X5,mult(X4,X4)) = mult(X3,mult(ld(rd(X3,X4),X5),X4)),
inference(superposition,[],[f14,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',f03) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(ld(X0,X1),X2)) = mult(X1,mult(X2,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',f01) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',f06) ).
fof(f13028,plain,
! [X16,X17,X15] : mult(X15,X17) = mult(X16,rd(ld(X17,mult(mult(X15,ld(X16,X17)),mult(X17,X17))),X17)),
inference(superposition,[],[f7740,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,X2),mult(X1,X1)),mult(X2,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f7740,plain,
! [X31,X32,X33] : mult(X31,rd(ld(X32,X33),X32)) = rd(X33,mult(ld(X31,X32),X32)),
inference(superposition,[],[f9,f5738]) ).
fof(f5738,plain,
! [X2,X0,X1] : mult(ld(X2,X0),X0) = ld(mult(X2,rd(ld(X0,X1),X0)),X1),
inference(superposition,[],[f5041,f1]) ).
fof(f5041,plain,
! [X2,X0,X1] : mult(ld(X1,X0),X0) = ld(mult(X1,rd(X2,X0)),mult(X0,X2)),
inference(superposition,[],[f4935,f9]) ).
fof(f4935,plain,
! [X16,X17,X15] : mult(X15,X16) = ld(mult(rd(X16,X15),rd(X17,X16)),mult(X16,X17)),
inference(superposition,[],[f4917,f4]) ).
fof(f4917,plain,
! [X65,X66,X67] : ld(mult(rd(X65,rd(X67,X65)),rd(X66,X65)),mult(X65,X66)) = X67,
inference(forward_demodulation,[],[f4916,f4]) ).
fof(f4916,plain,
! [X65,X66,X67] : ld(mult(rd(X65,rd(X67,X65)),rd(rd(mult(X66,X67),X67),X65)),mult(X65,X66)) = X67,
inference(forward_demodulation,[],[f4915,f1684]) ).
fof(f1684,plain,
! [X28,X29,X27] : rd(rd(X27,mult(X28,X28)),rd(X29,X28)) = rd(rd(X27,X29),X28),
inference(superposition,[],[f4,f825]) ).
fof(f825,plain,
! [X34,X35,X33] : rd(X33,X35) = mult(rd(rd(X33,mult(X34,X34)),rd(X35,X34)),X34),
inference(superposition,[],[f310,f3]) ).
fof(f310,plain,
! [X21,X22,X23] : mult(rd(X21,rd(X22,X23)),X23) = rd(mult(X21,mult(X23,X23)),X22),
inference(superposition,[],[f4,f49]) ).
fof(f49,plain,
! [X3,X4,X5] : mult(X5,mult(X4,X4)) = mult(mult(rd(X5,rd(X3,X4)),X4),X3),
inference(superposition,[],[f15,f3]) ).
fof(f15,plain,
! [X3,X4,X5] : mult(mult(rd(X3,X4),X5),mult(X4,X5)) = mult(X3,mult(X5,X5)),
inference(superposition,[],[f6,f3]) ).
fof(f4915,plain,
! [X65,X66,X67] : ld(mult(rd(X65,rd(X67,X65)),rd(rd(mult(X66,X67),mult(X65,X65)),rd(X67,X65))),mult(X65,X66)) = X67,
inference(forward_demodulation,[],[f4914,f443]) ).
fof(f443,plain,
! [X8,X9,X7] : mult(rd(X9,X8),rd(X7,X8)) = rd(mult(X9,X7),mult(X8,X8)),
inference(superposition,[],[f68,f3]) ).
fof(f68,plain,
! [X10,X11,X12] : mult(rd(X10,X11),X12) = rd(mult(X10,mult(X12,X11)),mult(X11,X11)),
inference(superposition,[],[f4,f20]) ).
fof(f20,plain,
! [X3,X4,X5] : mult(mult(rd(X3,X4),X5),mult(X4,X4)) = mult(X3,mult(X5,X4)),
inference(superposition,[],[f6,f3]) ).
fof(f4914,plain,
! [X65,X66,X67] : ld(rd(mult(X65,rd(mult(X66,X67),mult(X65,X65))),mult(rd(X67,X65),rd(X67,X65))),mult(X65,X66)) = X67,
inference(forward_demodulation,[],[f4913,f443]) ).
fof(f4913,plain,
! [X65,X66,X67] : ld(rd(mult(X65,rd(mult(X66,X67),mult(X65,X65))),rd(mult(X67,X67),mult(X65,X65))),mult(X65,X66)) = X67,
inference(forward_demodulation,[],[f4820,f2916]) ).
fof(f2916,plain,
! [X28,X26,X27,X25] : rd(mult(X25,rd(X27,X26)),rd(X28,X26)) = rd(rd(mult(mult(X25,X26),X27),X28),X26),
inference(superposition,[],[f1684,f82]) ).
fof(f82,plain,
! [X3,X4,X5] : mult(X5,rd(X3,X4)) = rd(mult(mult(X5,X4),X3),mult(X4,X4)),
inference(superposition,[],[f26,f3]) ).
fof(f26,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,X2),mult(X1,X2)),mult(X2,X2)),
inference(superposition,[],[f4,f6]) ).
fof(f4820,plain,
! [X65,X66,X67] : ld(rd(rd(mult(mult(X65,mult(X65,X65)),mult(X66,X67)),mult(X67,X67)),mult(X65,X65)),mult(X65,X66)) = X67,
inference(superposition,[],[f931,f3390]) ).
fof(f3390,plain,
! [X54,X55,X53] : mult(X53,X54) = rd(mult(mult(X53,mult(X53,X53)),mult(X54,X55)),mult(mult(X53,X53),X55)),
inference(superposition,[],[f4,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',f05) ).
fof(f931,plain,
! [X24,X25,X23] : ld(rd(rd(X23,mult(X24,X24)),X25),rd(X23,mult(X25,X24))) = X24,
inference(superposition,[],[f2,f365]) ).
fof(f365,plain,
! [X2,X0,X1] : mult(rd(rd(X0,mult(X1,X1)),X2),X1) = rd(X0,mult(X2,X1)),
inference(superposition,[],[f57,f3]) ).
fof(f57,plain,
! [X10,X8,X9] : mult(rd(X8,X9),X10) = rd(mult(X8,mult(X10,X10)),mult(X9,X10)),
inference(superposition,[],[f4,f15]) ).
fof(f9,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',f02) ).
fof(f23247,plain,
! [X6,X7,X5] : rd(mult(X7,ld(rd(X5,X5),X6)),X5) = rd(X6,ld(X7,X5)),
inference(forward_demodulation,[],[f23089,f3]) ).
fof(f23089,plain,
! [X6,X7,X5] : rd(mult(X7,ld(rd(X5,X5),X6)),X5) = rd(mult(rd(X6,X5),X5),ld(X7,X5)),
inference(superposition,[],[f11653,f8734]) ).
fof(f8734,plain,
! [X2,X0,X1] : mult(rd(X1,X2),X0) = mult(rd(X0,X2),ld(rd(X0,X0),X1)),
inference(forward_demodulation,[],[f8590,f57]) ).
fof(f8590,plain,
! [X2,X0,X1] : mult(rd(X0,X2),ld(rd(X0,X0),X1)) = rd(mult(X1,mult(X0,X0)),mult(X2,X0)),
inference(superposition,[],[f5905,f31]) ).
fof(f5905,plain,
! [X31,X32,X30] : mult(rd(X30,X31),X32) = rd(mult(X30,mult(X32,X30)),mult(X31,X30)),
inference(superposition,[],[f9,f5064]) ).
fof(f5064,plain,
! [X16,X17,X15] : mult(X17,X16) = ld(mult(rd(X16,X17),X15),mult(X16,mult(X15,X16))),
inference(superposition,[],[f4935,f4]) ).
fof(f11653,plain,
! [X18,X16,X17] : rd(mult(X18,X17),X16) = rd(mult(rd(X16,X16),X17),ld(X18,X16)),
inference(forward_demodulation,[],[f11652,f4]) ).
fof(f11652,plain,
! [X18,X16,X17] : rd(mult(X18,X17),X16) = rd(mult(rd(X16,X16),rd(mult(X17,X16),X16)),ld(X18,X16)),
inference(forward_demodulation,[],[f11538,f443]) ).
fof(f11538,plain,
! [X18,X16,X17] : rd(rd(mult(X16,mult(X17,X16)),mult(X16,X16)),ld(X18,X16)) = rd(mult(X18,X17),X16),
inference(superposition,[],[f932,f7476]) ).
fof(f7476,plain,
! [X50,X51,X52] : mult(X50,X51) = rd(mult(X52,mult(X51,X52)),mult(ld(X50,X52),X52)),
inference(superposition,[],[f9,f5711]) ).
fof(f5711,plain,
! [X16,X17,X15] : mult(ld(X17,X16),X16) = ld(mult(X17,X15),mult(X16,mult(X15,X16))),
inference(superposition,[],[f5041,f4]) ).
fof(f932,plain,
! [X28,X26,X27] : rd(rd(X26,mult(X27,X27)),X28) = rd(rd(X26,mult(X28,X27)),X27),
inference(superposition,[],[f4,f365]) ).
fof(f138574,plain,
! [X65,X66,X67] : mult(mult(X65,X67),mult(X65,X66)) = mult(mult(X65,rd(mult(X66,ld(X66,mult(X65,X66))),X66)),mult(X67,X66)),
inference(forward_demodulation,[],[f138573,f103909]) ).
fof(f103909,plain,
! [X120,X121,X122] : mult(rd(mult(X120,X121),X122),rd(mult(X120,X121),X122)) = mult(X120,rd(mult(X121,ld(X122,mult(X120,X121))),X122)),
inference(forward_demodulation,[],[f103578,f86641]) ).
fof(f86641,plain,
! [X34,X32,X33] : rd(mult(X33,ld(X32,X34)),X32) = ld(rd(X32,rd(X34,X32)),mult(rd(X32,X32),X33)),
inference(superposition,[],[f7126,f50210]) ).
fof(f50210,plain,
! [X305,X303,X304] : ld(mult(rd(X303,X303),X304),mult(X303,mult(X304,ld(X303,X305)))) = X305,
inference(superposition,[],[f2,f26168]) ).
fof(f26168,plain,
! [X2,X0,X1] : mult(X0,mult(X2,ld(X0,X1))) = mult(mult(rd(X0,X0),X2),X1),
inference(superposition,[],[f13787,f1]) ).
fof(f13787,plain,
! [X2,X3,X4] : mult(X2,mult(X4,X3)) = mult(mult(rd(X2,X2),X4),mult(X2,X3)),
inference(forward_demodulation,[],[f13662,f20]) ).
fof(f13662,plain,
! [X2,X3,X4] : mult(mult(rd(X2,X3),X4),mult(X3,X3)) = mult(mult(rd(X2,X2),X4),mult(X2,X3)),
inference(superposition,[],[f15,f8540]) ).
fof(f8540,plain,
! [X78,X76,X77] : mult(rd(mult(rd(X76,X77),X78),X76),X77) = mult(rd(X76,X76),X78),
inference(forward_demodulation,[],[f8456,f68]) ).
fof(f8456,plain,
! [X78,X76,X77] : mult(rd(mult(rd(X76,X77),X78),X76),X77) = rd(mult(X76,mult(X78,X76)),mult(X76,X76)),
inference(superposition,[],[f68,f5904]) ).
fof(f5904,plain,
! [X28,X29,X27] : mult(X27,mult(X29,X27)) = mult(mult(rd(X27,X28),X29),mult(X28,X27)),
inference(superposition,[],[f1,f5064]) ).
fof(f7126,plain,
! [X40,X38,X39] : rd(X39,X38) = ld(rd(X38,rd(ld(X40,mult(X38,X39)),X38)),X40),
inference(superposition,[],[f5645,f9]) ).
fof(f5645,plain,
! [X41,X42,X43] : rd(X43,X41) = ld(rd(X41,rd(X42,X41)),rd(mult(X41,X43),X42)),
inference(superposition,[],[f2,f5005]) ).
fof(f5005,plain,
! [X18,X19,X20] : mult(rd(X18,rd(X19,X18)),rd(X20,X18)) = rd(mult(X18,X20),X19),
inference(superposition,[],[f9,f4917]) ).
fof(f103578,plain,
! [X120,X121,X122] : mult(rd(mult(X120,X121),X122),rd(mult(X120,X121),X122)) = mult(X120,ld(rd(X122,rd(mult(X120,X121),X122)),mult(rd(X122,X122),X121))),
inference(superposition,[],[f61499,f11382]) ).
fof(f11382,plain,
! [X44,X42,X43] : mult(rd(mult(X42,X43),X44),ld(X42,X44)) = mult(rd(X44,X44),X43),
inference(forward_demodulation,[],[f11265,f68]) ).
fof(f11265,plain,
! [X44,X42,X43] : mult(rd(mult(X42,X43),X44),ld(X42,X44)) = rd(mult(X44,mult(X43,X44)),mult(X44,X44)),
inference(superposition,[],[f68,f7475]) ).
fof(f7475,plain,
! [X48,X49,X47] : mult(X49,mult(X48,X49)) = mult(mult(X47,X48),mult(ld(X47,X49),X49)),
inference(superposition,[],[f1,f5711]) ).
fof(f61499,plain,
! [X50,X51,X49] : mult(X50,X50) = mult(X51,ld(rd(X49,X50),mult(X50,ld(X51,X49)))),
inference(forward_demodulation,[],[f61498,f3]) ).
fof(f61498,plain,
! [X50,X51,X49] : mult(X50,X50) = mult(X51,ld(rd(X49,X50),mult(X50,mult(rd(ld(X51,X49),X50),X50)))),
inference(forward_demodulation,[],[f61114,f7401]) ).
fof(f7401,plain,
! [X96,X97,X95] : mult(ld(rd(X95,X96),X97),X97) = ld(X95,mult(X97,mult(X96,X97))),
inference(superposition,[],[f5711,f3]) ).
fof(f61114,plain,
! [X50,X51,X49] : mult(X50,X50) = mult(X51,mult(ld(rd(rd(X49,X50),rd(ld(X51,X49),X50)),X50),X50)),
inference(superposition,[],[f5785,f30917]) ).
fof(f30917,plain,
! [X26,X27,X25] : mult(rd(rd(X25,X26),rd(ld(X27,X25),X26)),rd(X26,X26)) = X27,
inference(forward_demodulation,[],[f30708,f23049]) ).
fof(f23049,plain,
! [X62,X63,X64] : rd(ld(X62,X64),X63) = ld(rd(X62,rd(X64,X63)),rd(X64,X64)),
inference(forward_demodulation,[],[f23048,f3]) ).
fof(f23048,plain,
! [X62,X63,X64] : rd(ld(X62,X64),X63) = ld(rd(mult(rd(X62,X63),X63),rd(X64,X63)),rd(X64,X64)),
inference(forward_demodulation,[],[f22907,f2915]) ).
fof(f2915,plain,
! [X21,X24,X22,X23] : rd(mult(rd(X21,X23),X22),rd(X24,X23)) = rd(rd(mult(X21,mult(X22,X23)),X24),X23),
inference(superposition,[],[f1684,f68]) ).
fof(f22907,plain,
! [X62,X63,X64] : rd(ld(X62,X64),X63) = ld(rd(rd(mult(X62,mult(X63,X63)),X64),X63),rd(X64,X64)),
inference(superposition,[],[f590,f11651]) ).
fof(f11651,plain,
! [X14,X15,X13] : ld(X15,X13) = ld(rd(mult(X15,X14),X13),mult(rd(X13,X13),X14)),
inference(forward_demodulation,[],[f11650,f4]) ).
fof(f11650,plain,
! [X14,X15,X13] : ld(X15,X13) = ld(rd(mult(X15,X14),X13),mult(rd(X13,X13),rd(mult(X14,X13),X13))),
inference(forward_demodulation,[],[f11537,f443]) ).
fof(f11537,plain,
! [X14,X15,X13] : ld(X15,X13) = ld(rd(mult(X15,X14),X13),rd(mult(X13,mult(X14,X13)),mult(X13,X13))),
inference(superposition,[],[f1171,f7476]) ).
fof(f1171,plain,
! [X31,X32,X30] : ld(rd(rd(X30,mult(X31,X32)),X32),rd(X30,mult(X32,X32))) = X31,
inference(superposition,[],[f2,f451]) ).
fof(f451,plain,
! [X3,X4,X5] : mult(rd(rd(X3,mult(X4,X5)),X5),X4) = rd(X3,mult(X5,X5)),
inference(superposition,[],[f68,f3]) ).
fof(f30708,plain,
! [X26,X27,X25] : mult(rd(rd(X25,X26),ld(rd(X27,rd(X25,X26)),rd(X25,X25))),rd(X26,X26)) = X27,
inference(superposition,[],[f9701,f15217]) ).
fof(f15217,plain,
! [X28,X29,X30] : rd(X29,X30) = ld(rd(rd(X28,X29),rd(X28,X30)),rd(X28,X28)),
inference(forward_demodulation,[],[f15216,f3]) ).
fof(f15216,plain,
! [X28,X29,X30] : rd(X29,X30) = ld(rd(mult(rd(rd(X28,X29),X30),X30),rd(X28,X30)),rd(X28,X28)),
inference(forward_demodulation,[],[f15101,f2915]) ).
fof(f15101,plain,
! [X28,X29,X30] : rd(X29,X30) = ld(rd(rd(mult(rd(X28,X29),mult(X30,X30)),X28),X30),rd(X28,X28)),
inference(superposition,[],[f590,f8761]) ).
fof(f8761,plain,
! [X70,X68,X69] : ld(rd(mult(rd(X68,X70),X69),X68),mult(rd(X68,X68),X69)) = X70,
inference(forward_demodulation,[],[f8760,f4]) ).
fof(f8760,plain,
! [X70,X68,X69] : ld(rd(mult(rd(X68,X70),X69),X68),mult(rd(X68,X68),rd(mult(X69,X68),X68))) = X70,
inference(forward_demodulation,[],[f8663,f443]) ).
fof(f8663,plain,
! [X70,X68,X69] : ld(rd(mult(rd(X68,X70),X69),X68),rd(mult(X68,mult(X69,X68)),mult(X68,X68))) = X70,
inference(superposition,[],[f1171,f5905]) ).
fof(f9701,plain,
! [X16,X14,X15] : mult(rd(X14,ld(rd(X16,X14),X15)),ld(rd(X14,X14),X15)) = X16,
inference(superposition,[],[f6820,f1]) ).
fof(f6820,plain,
! [X28,X29,X30] : mult(rd(X28,ld(rd(X30,X28),mult(rd(X28,X28),X29))),X29) = X30,
inference(forward_demodulation,[],[f6710,f1429]) ).
fof(f1429,plain,
! [X28,X26,X27,X25] : ld(rd(X28,X26),mult(rd(X25,X26),X27)) = rd(ld(X28,mult(X25,mult(X27,X26))),X26),
inference(superposition,[],[f590,f20]) ).
fof(f6710,plain,
! [X28,X29,X30] : mult(rd(X28,rd(ld(X30,mult(X28,mult(X29,X28))),X28)),X29) = X30,
inference(superposition,[],[f5219,f9]) ).
fof(f5219,plain,
! [X26,X27,X25] : mult(rd(X25,rd(X26,X25)),X27) = rd(mult(X25,mult(X27,X25)),X26),
inference(superposition,[],[f9,f4955]) ).
fof(f4955,plain,
! [X16,X17,X15] : ld(mult(rd(X16,rd(X17,X16)),X15),mult(X16,mult(X15,X16))) = X17,
inference(superposition,[],[f4917,f4]) ).
fof(f5785,plain,
! [X36,X34,X35] : mult(X36,X35) = mult(mult(X34,rd(X35,X36)),mult(ld(X34,X36),X36)),
inference(superposition,[],[f1,f5041]) ).
fof(f138573,plain,
! [X65,X66,X67] : mult(mult(X65,X67),mult(X65,X66)) = mult(mult(rd(mult(X65,X66),X66),rd(mult(X65,X66),X66)),mult(X67,X66)),
inference(forward_demodulation,[],[f137819,f443]) ).
fof(f137819,plain,
! [X65,X66,X67] : mult(rd(mult(mult(X65,X66),mult(X65,X66)),mult(X66,X66)),mult(X67,X66)) = mult(mult(X65,X67),mult(X65,X66)),
inference(superposition,[],[f77722,f26]) ).
fof(f77722,plain,
! [X70,X71,X69] : mult(rd(mult(X69,X71),X70),X69) = mult(rd(mult(X69,X69),X70),X71),
inference(forward_demodulation,[],[f77221,f5005]) ).
fof(f77221,plain,
! [X70,X71,X69] : mult(mult(rd(X69,rd(X70,X69)),rd(X69,X69)),X71) = mult(rd(mult(X69,X71),X70),X69),
inference(superposition,[],[f44000,f5005]) ).
fof(f44000,plain,
! [X186,X187,X185] : mult(mult(X187,rd(X185,X186)),X186) = mult(mult(X187,rd(X186,X186)),X185),
inference(superposition,[],[f23983,f3]) ).
fof(f23983,plain,
! [X337,X335,X336] : mult(mult(X335,rd(X336,X336)),mult(X337,X336)) = mult(mult(X335,X337),X336),
inference(forward_demodulation,[],[f23768,f3284]) ).
fof(f3284,plain,
! [X26,X24,X25] : mult(mult(X24,mult(X24,X24)),mult(X26,ld(mult(X24,X24),X25))) = mult(mult(X24,X26),X25),
inference(superposition,[],[f5,f1]) ).
fof(f23768,plain,
! [X337,X335,X336] : mult(mult(X335,mult(X335,X335)),mult(X337,ld(mult(X335,X335),X336))) = mult(mult(X335,rd(X336,X336)),mult(X337,X336)),
inference(superposition,[],[f3242,f13176]) ).
fof(f3242,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(mult(X2,X2),ld(X0,X1))) = mult(mult(X2,mult(X2,X2)),X1),
inference(superposition,[],[f5,f1]) ).
fof(f7,axiom,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox/tmp/tmp.iETDa1tWmY/Vampire---4.8_22836',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 30 18:01:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.41 % (22983)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (22991)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41 % (22985)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41 % (22994)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41 % (22993)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (22997)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (22995)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (22998)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [4]
% 0.21/0.46 TRYING [4]
% 0.21/0.46 TRYING [5]
% 0.21/0.61 TRYING [5]
% 0.21/0.64 TRYING [6]
% 6.73/1.45 TRYING [6]
% 6.73/1.51 TRYING [1]
% 6.73/1.51 TRYING [2]
% 6.73/1.51 TRYING [3]
% 7.66/1.52 TRYING [4]
% 7.66/1.54 TRYING [5]
% 8.68/1.73 TRYING [6]
% 14.80/2.57 TRYING [7]
% 27.95/4.38 TRYING [7]
% 55.34/8.31 TRYING [8]
% 61.93/9.22 % (22998)First to succeed.
% 61.93/9.24 % (22998)Refutation found. Thanks to Tanya!
% 61.93/9.24 % SZS status Unsatisfiable for Vampire---4
% 61.93/9.24 % SZS output start Proof for Vampire---4
% See solution above
% 61.93/9.24 % (22998)------------------------------
% 61.93/9.24 % (22998)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 61.93/9.24 % (22998)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 61.93/9.24 % (22998)Termination reason: Refutation
% 61.93/9.24
% 61.93/9.24 % (22998)Memory used [KB]: 302041
% 61.93/9.24 % (22998)Time elapsed: 8.807 s
% 61.93/9.24 % (22998)------------------------------
% 61.93/9.24 % (22998)------------------------------
% 61.93/9.24 % (22983)Success in time 8.84 s
% 61.93/9.24 % Vampire---4.8 exiting
%------------------------------------------------------------------------------