TSTP Solution File: GRP660-14 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% 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 : n020.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 15:57:15 EDT 2023
% Result : Unsatisfiable 2.43s 0.70s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 6
% Syntax : Number of formulae : 79 ( 79 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% 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 : 162 (; 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12429,plain,
$false,
inference(trivial_inequality_removal,[],[f12313]) ).
fof(f12313,plain,
x0 != x0,
inference(superposition,[],[f6,f12041]) ).
fof(f12041,plain,
! [X12,X13] : mult(ld(X12,X12),X13) = X13,
inference(superposition,[],[f11969,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.kwgRZACuvU/Vampire---4.8_29558',f02) ).
fof(f11969,plain,
! [X29,X30] : ld(ld(X29,X29),X30) = X30,
inference(forward_demodulation,[],[f11968,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.kwgRZACuvU/Vampire---4.8_29558',f01) ).
fof(f11968,plain,
! [X29,X30] : ld(ld(X29,X29),X30) = mult(ld(X29,X29),ld(ld(X29,X29),X30)),
inference(forward_demodulation,[],[f11967,f11960]) ).
fof(f11960,plain,
! [X21,X22] : mult(X22,ld(X21,X21)) = ld(ld(X21,X21),X22),
inference(forward_demodulation,[],[f11959,f1]) ).
fof(f11959,plain,
! [X21,X22] : mult(X22,ld(X21,X21)) = mult(ld(X21,X21),ld(ld(X21,X21),ld(ld(X21,X21),X22))),
inference(forward_demodulation,[],[f11958,f11519]) ).
fof(f11519,plain,
! [X4] : ld(X4,X4) = ld(ld(X4,X4),ld(X4,X4)),
inference(superposition,[],[f10777,f11249]) ).
fof(f11249,plain,
! [X1] : rd(X1,X1) = ld(X1,X1),
inference(forward_demodulation,[],[f11157,f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/tmp/tmp.kwgRZACuvU/Vampire---4.8_29558',f04) ).
fof(f11157,plain,
! [X1] : rd(X1,X1) = ld(X1,rd(mult(X1,X1),X1)),
inference(superposition,[],[f1066,f11033]) ).
fof(f11033,plain,
! [X1] : mult(X1,rd(X1,X1)) = X1,
inference(forward_demodulation,[],[f11032,f11029]) ).
fof(f11029,plain,
! [X0] : ld(rd(X0,X0),mult(X0,rd(X0,X0))) = X0,
inference(forward_demodulation,[],[f11028,f4]) ).
fof(f11028,plain,
! [X0] : rd(mult(X0,X0),X0) = ld(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f11027,f342]) ).
fof(f342,plain,
! [X28,X29,X27] : mult(mult(X29,rd(X27,X28)),rd(X28,X29)) = rd(mult(X29,X27),X29),
inference(superposition,[],[f55,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/tmp/tmp.kwgRZACuvU/Vampire---4.8_29558',f03) ).
fof(f55,plain,
! [X11,X12,X13] : mult(mult(X12,X13),rd(X11,X12)) = rd(mult(X12,mult(X13,X11)),X12),
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f4,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox2/tmp/tmp.kwgRZACuvU/Vampire---4.8_29558',f05) ).
fof(f11027,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = ld(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f10948,f1844]) ).
fof(f1844,plain,
! [X46,X47] : ld(rd(X47,X46),mult(X46,rd(X46,X47))) = mult(rd(X46,X47),mult(X46,rd(X46,X47))),
inference(forward_demodulation,[],[f1789,f2]) ).
fof(f1789,plain,
! [X46,X47] : ld(rd(X47,X46),mult(X46,rd(X46,X47))) = mult(ld(X46,mult(X46,rd(X46,X47))),mult(X46,rd(X46,X47))),
inference(superposition,[],[f1517,f1133]) ).
fof(f1133,plain,
! [X40,X41] : mult(mult(X40,rd(X40,X41)),rd(X41,X40)) = X40,
inference(superposition,[],[f350,f3]) ).
fof(f350,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(superposition,[],[f55,f4]) ).
fof(f1517,plain,
! [X4,X5] : ld(X4,X5) = mult(ld(mult(X5,X4),X5),X5),
inference(superposition,[],[f3,f1224]) ).
fof(f1224,plain,
! [X21,X20] : rd(ld(X21,X20),X20) = ld(mult(X20,X21),X20),
inference(superposition,[],[f2,f1119]) ).
fof(f1119,plain,
! [X0,X1] : mult(mult(X1,X0),rd(ld(X0,X1),X1)) = X1,
inference(superposition,[],[f350,f1]) ).
fof(f10948,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f14,f10863]) ).
fof(f10863,plain,
! [X7] : rd(X7,X7) = mult(rd(X7,X7),rd(X7,X7)),
inference(superposition,[],[f1,f10777]) ).
fof(f14,plain,
! [X3,X4,X5] : mult(rd(X3,X4),mult(X4,mult(X5,rd(X3,X4)))) = mult(mult(X3,X5),rd(X3,X4)),
inference(superposition,[],[f5,f3]) ).
fof(f11032,plain,
! [X1] : mult(X1,rd(X1,X1)) = ld(rd(X1,X1),mult(X1,rd(X1,X1))),
inference(forward_demodulation,[],[f11031,f1322]) ).
fof(f1322,plain,
! [X22,X23] : mult(X22,rd(X22,X23)) = rd(X22,rd(X23,X22)),
inference(superposition,[],[f4,f1133]) ).
fof(f11031,plain,
! [X1] : rd(X1,rd(X1,X1)) = ld(rd(X1,X1),rd(X1,rd(X1,X1))),
inference(forward_demodulation,[],[f11030,f10192]) ).
fof(f10192,plain,
! [X26,X25] : mult(X25,rd(ld(X26,X26),rd(X25,X26))) = rd(X25,rd(X25,X26)),
inference(superposition,[],[f8,f3236]) ).
fof(f3236,plain,
! [X58,X59] : rd(X58,X59) = ld(mult(X58,rd(ld(X59,X59),rd(X58,X59))),X58),
inference(forward_demodulation,[],[f3235,f4]) ).
fof(f3235,plain,
! [X58,X59] : rd(X58,X59) = ld(mult(rd(mult(X58,X58),X58),rd(ld(X59,X59),rd(X58,X59))),X58),
inference(forward_demodulation,[],[f3234,f1565]) ).
fof(f1565,plain,
! [X19,X20] : rd(X19,X20) = mult(X19,rd(X19,mult(X20,X19))),
inference(superposition,[],[f4,f1302]) ).
fof(f1302,plain,
! [X0,X1] : mult(mult(X1,rd(X1,mult(X0,X1))),X0) = X1,
inference(superposition,[],[f1133,f4]) ).
fof(f3234,plain,
! [X58,X59] : mult(X58,rd(X58,mult(X59,X58))) = ld(mult(rd(mult(X58,X58),X58),rd(ld(X59,X59),mult(X58,rd(X58,mult(X59,X58))))),X58),
inference(forward_demodulation,[],[f3233,f965]) ).
fof(f965,plain,
! [X40,X41,X39,X42] : rd(mult(mult(X39,rd(X40,mult(X41,X39))),X42),mult(X39,rd(X40,mult(X41,X39)))) = mult(rd(mult(X39,X40),X39),rd(ld(X41,X42),mult(X39,rd(X40,mult(X41,X39))))),
inference(superposition,[],[f335,f59]) ).
fof(f59,plain,
! [X8,X6,X7] : mult(mult(X8,rd(X6,mult(X7,X8))),X7) = rd(mult(X8,X6),X8),
inference(superposition,[],[f18,f3]) ).
fof(f335,plain,
! [X2,X0,X1] : mult(mult(X2,X0),rd(ld(X0,X1),X2)) = rd(mult(X2,X1),X2),
inference(superposition,[],[f55,f1]) ).
fof(f3233,plain,
! [X58,X59] : mult(X58,rd(X58,mult(X59,X58))) = ld(rd(mult(mult(X58,rd(X58,mult(X59,X58))),X59),mult(X58,rd(X58,mult(X59,X58)))),X58),
inference(forward_demodulation,[],[f3147,f643]) ).
fof(f643,plain,
! [X3,X4,X5] : mult(X4,rd(ld(ld(X3,X4),X5),X3)) = rd(mult(X3,X5),X3),
inference(superposition,[],[f118,f1]) ).
fof(f118,plain,
! [X14,X12,X13] : mult(X12,rd(X13,X14)) = rd(mult(X14,mult(ld(X14,X12),X13)),X14),
inference(superposition,[],[f4,f24]) ).
fof(f24,plain,
! [X8,X9,X7] : mult(mult(X9,rd(X7,X8)),X8) = mult(X8,mult(ld(X8,X9),X7)),
inference(superposition,[],[f13,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[],[f5,f1]) ).
fof(f3147,plain,
! [X58,X59,X60] : mult(X58,rd(X58,mult(X59,X58))) = ld(mult(X60,rd(ld(ld(mult(X58,rd(X58,mult(X59,X58))),X60),X59),mult(X58,rd(X58,mult(X59,X58))))),X58),
inference(superposition,[],[f598,f1302]) ).
fof(f598,plain,
! [X3,X4,X5] : ld(mult(X4,rd(ld(ld(X3,X4),X5),X3)),mult(X3,X5)) = X3,
inference(superposition,[],[f117,f1]) ).
fof(f117,plain,
! [X10,X11,X9] : ld(mult(X9,rd(X10,X11)),mult(X11,mult(ld(X11,X9),X10))) = X11,
inference(superposition,[],[f2,f24]) ).
fof(f8,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f11030,plain,
! [X1] : rd(X1,rd(X1,X1)) = ld(rd(X1,X1),mult(X1,rd(ld(X1,X1),rd(X1,X1)))),
inference(forward_demodulation,[],[f10949,f967]) ).
fof(f967,plain,
! [X48,X49,X47] : rd(mult(rd(X47,X48),X49),rd(X47,X48)) = mult(X47,rd(ld(X48,X49),rd(X47,X48))),
inference(superposition,[],[f335,f3]) ).
fof(f10949,plain,
! [X1] : rd(X1,rd(X1,X1)) = ld(rd(X1,X1),rd(mult(rd(X1,X1),X1),rd(X1,X1))),
inference(superposition,[],[f1066,f10863]) ).
fof(f1066,plain,
! [X26,X24,X25] : rd(X26,X24) = ld(mult(X24,rd(X25,X26)),rd(mult(X24,X25),X24)),
inference(superposition,[],[f2,f342]) ).
fof(f10777,plain,
! [X2] : rd(X2,X2) = ld(rd(X2,X2),rd(X2,X2)),
inference(forward_demodulation,[],[f10776,f2]) ).
fof(f10776,plain,
! [X2] : ld(rd(X2,X2),rd(X2,X2)) = ld(X2,mult(X2,rd(X2,X2))),
inference(forward_demodulation,[],[f10689,f4]) ).
fof(f10689,plain,
! [X2] : ld(rd(X2,X2),rd(X2,X2)) = ld(rd(mult(X2,X2),X2),mult(X2,rd(X2,X2))),
inference(superposition,[],[f3922,f342]) ).
fof(f3922,plain,
! [X10,X9] : ld(mult(mult(X10,X9),X9),mult(X10,X9)) = ld(X9,rd(X10,X10)),
inference(superposition,[],[f748,f1224]) ).
fof(f748,plain,
! [X36,X37,X35] : ld(X37,rd(X35,X36)) = rd(ld(X37,mult(X35,X37)),mult(X36,X37)),
inference(superposition,[],[f195,f3]) ).
fof(f195,plain,
! [X18,X19,X20] : ld(X18,X19) = rd(ld(X18,mult(mult(X19,X20),X18)),mult(X20,X18)),
inference(superposition,[],[f4,f28]) ).
fof(f28,plain,
! [X8,X9,X7] : mult(ld(X7,X8),mult(X9,X7)) = ld(X7,mult(mult(X8,X9),X7)),
inference(superposition,[],[f2,f13]) ).
fof(f11958,plain,
! [X21,X22] : mult(X22,ld(X21,X21)) = mult(ld(X21,X21),ld(ld(ld(X21,X21),ld(X21,X21)),ld(ld(X21,X21),X22))),
inference(forward_demodulation,[],[f11957,f11249]) ).
fof(f11957,plain,
! [X21,X22] : mult(X22,rd(X21,X21)) = mult(rd(X21,X21),ld(ld(rd(X21,X21),rd(X21,X21)),ld(rd(X21,X21),X22))),
inference(forward_demodulation,[],[f11907,f3521]) ).
fof(f3521,plain,
! [X62,X63,X64] : ld(ld(X63,X64),ld(X63,X62)) = mult(ld(X64,rd(X62,X63)),X63),
inference(forward_demodulation,[],[f3474,f1565]) ).
fof(f3474,plain,
! [X62,X63,X64] : mult(ld(X64,mult(X62,rd(X62,mult(X63,X62)))),X63) = ld(ld(X63,X64),ld(X63,X62)),
inference(superposition,[],[f689,f1302]) ).
fof(f689,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(ld(X2,X0),ld(X2,mult(X1,X2))),
inference(superposition,[],[f194,f1]) ).
fof(f194,plain,
! [X16,X17,X15] : mult(X17,X15) = ld(ld(X15,X16),ld(X15,mult(mult(X16,X17),X15))),
inference(superposition,[],[f2,f28]) ).
fof(f11907,plain,
! [X21,X22] : mult(X22,rd(X21,X21)) = mult(rd(X21,X21),mult(ld(rd(X21,X21),rd(X22,rd(X21,X21))),rd(X21,X21))),
inference(superposition,[],[f110,f10864]) ).
fof(f10864,plain,
! [X8] : rd(X8,X8) = rd(rd(X8,X8),rd(X8,X8)),
inference(superposition,[],[f8,f10777]) ).
fof(f110,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X2,mult(ld(X2,rd(X0,rd(X1,X2))),X1)),
inference(superposition,[],[f24,f3]) ).
fof(f11967,plain,
! [X29,X30] : mult(X30,ld(X29,X29)) = mult(ld(X29,X29),mult(X30,ld(X29,X29))),
inference(forward_demodulation,[],[f11966,f2]) ).
fof(f11966,plain,
! [X29,X30] : mult(ld(X29,X29),mult(X30,ld(X29,X29))) = mult(ld(ld(X29,X29),mult(ld(X29,X29),X30)),ld(X29,X29)),
inference(forward_demodulation,[],[f11965,f11960]) ).
fof(f11965,plain,
! [X29,X30] : mult(ld(X29,X29),mult(X30,ld(X29,X29))) = mult(mult(mult(ld(X29,X29),X30),ld(X29,X29)),ld(X29,X29)),
inference(forward_demodulation,[],[f11911,f11249]) ).
fof(f11911,plain,
! [X29,X30] : mult(rd(X29,X29),mult(X30,rd(X29,X29))) = mult(mult(mult(rd(X29,X29),X30),rd(X29,X29)),rd(X29,X29)),
inference(superposition,[],[f356,f10864]) ).
fof(f356,plain,
! [X14,X12,X13] : mult(X12,mult(X13,X14)) = mult(mult(mult(X12,X13),rd(X14,X12)),X12),
inference(superposition,[],[f3,f55]) ).
fof(f6,axiom,
x0 != mult(ld(x1,x1),x0),
file('/export/starexec/sandbox2/tmp/tmp.kwgRZACuvU/Vampire---4.8_29558',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.30 % Computer : n020.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Aug 30 17:25:58 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.37 % (29757)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (29764)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)
% 0.15/0.37 % (29763)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)
% 0.15/0.37 % (29761)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.15/0.37 % (29759)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.15/0.37 % (29762)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)
% 0.15/0.37 % (29760)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)
% 0.15/0.37 % (29758)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.15/0.43 TRYING [6]
% 0.15/0.59 TRYING [7]
% 1.77/0.68 TRYING [6]
% 1.77/0.70 % (29764)First to succeed.
% 2.43/0.70 % (29764)Refutation found. Thanks to Tanya!
% 2.43/0.70 % SZS status Unsatisfiable for Vampire---4
% 2.43/0.70 % SZS output start Proof for Vampire---4
% See solution above
% 2.43/0.70 % (29764)------------------------------
% 2.43/0.70 % (29764)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.43/0.70 % (29764)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.43/0.70 % (29764)Termination reason: Refutation
% 2.43/0.70
% 2.43/0.70 % (29764)Memory used [KB]: 12409
% 2.43/0.70 % (29764)Time elapsed: 0.327 s
% 2.43/0.70 % (29764)------------------------------
% 2.43/0.70 % (29764)------------------------------
% 2.43/0.70 % (29757)Success in time 0.387 s
% 2.43/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------