TSTP Solution File: GRP475-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n014.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 15:55:41 EDT 2023
% Result : Unsatisfiable 13.32s 2.30s
% Output : Refutation 13.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 12 ( 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 : 201 (; 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83094,plain,
$false,
inference(subsumption_resolution,[],[f82332,f78002]) ).
fof(f78002,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[],[f76510,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.aEAYHfEkEc/Vampire---4.8_29929',multiply) ).
fof(f76510,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f72745,f72745]) ).
fof(f72745,plain,
! [X894,X893] : inverse(multiply(inverse(X894),X894)) = divide(X893,X893),
inference(forward_demodulation,[],[f72349,f71531]) ).
fof(f71531,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X2,X1),X0)),divide(X1,X2)) = X0,
inference(superposition,[],[f61712,f70672]) ).
fof(f70672,plain,
! [X42,X43] : multiply(X42,divide(X43,X43)) = X42,
inference(superposition,[],[f69835,f2]) ).
fof(f69835,plain,
! [X73,X74] : divide(X73,inverse(divide(X74,X74))) = X73,
inference(superposition,[],[f69669,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox2/tmp/tmp.aEAYHfEkEc/Vampire---4.8_29929',single_axiom) ).
fof(f69669,plain,
! [X111,X109,X110] : divide(X110,X111) = divide(divide(X110,X111),inverse(divide(X109,X109))),
inference(forward_demodulation,[],[f69277,f68600]) ).
fof(f68600,plain,
! [X86,X87,X85] : divide(X86,X87) = divide(inverse(divide(X85,X85)),divide(X87,X86)),
inference(superposition,[],[f67836,f1]) ).
fof(f67836,plain,
! [X50,X51,X54,X53] : divide(X50,X51) = divide(inverse(divide(divide(X54,X53),divide(X54,X53))),divide(X51,X50)),
inference(superposition,[],[f61712,f60150]) ).
fof(f60150,plain,
! [X8,X7,X14,X12,X13] : divide(X13,X14) = multiply(divide(X8,X7),divide(divide(divide(X7,X8),X12),divide(divide(X14,X13),X12))),
inference(forward_demodulation,[],[f59705,f1335]) ).
fof(f1335,plain,
! [X38,X36,X37,X34,X35] : divide(X38,X37) = multiply(X38,divide(divide(divide(X34,X35),X36),divide(divide(X37,divide(X35,X34)),X36))),
inference(superposition,[],[f2,f1106]) ).
fof(f1106,plain,
! [X2,X3,X4,X5] : inverse(divide(divide(divide(X3,X2),X5),divide(divide(X4,divide(X2,X3)),X5))) = X4,
inference(superposition,[],[f8,f1]) ).
fof(f8,plain,
! [X8,X6,X9,X7,X4,X5] : inverse(divide(divide(divide(X4,X5),X6),divide(X7,X6))) = divide(inverse(divide(divide(divide(X8,X9),divide(X5,X4)),X7)),divide(X9,X8)),
inference(superposition,[],[f1,f1]) ).
fof(f59705,plain,
! [X10,X11,X8,X9,X7,X14,X12,X13] : divide(X13,X14) = multiply(divide(X8,X7),divide(divide(divide(X7,X8),X12),multiply(divide(X14,X13),divide(divide(divide(X9,X10),X11),divide(divide(X12,divide(X10,X9)),X11))))),
inference(superposition,[],[f59252,f1335]) ).
fof(f59252,plain,
! [X1000,X1002,X1001,X998,X999] : divide(X1002,X1001) = multiply(divide(X998,X999),divide(multiply(divide(X999,X998),X1000),multiply(divide(X1001,X1002),X1000))),
inference(forward_demodulation,[],[f58637,f3006]) ).
fof(f3006,plain,
! [X10,X8,X6,X9,X7] : divide(divide(inverse(divide(X9,X10)),multiply(divide(X7,X6),divide(divide(divide(X6,X7),X8),X9))),X8) = X10,
inference(forward_demodulation,[],[f2872,f2]) ).
fof(f2872,plain,
! [X10,X8,X6,X9,X7] : divide(divide(inverse(divide(X9,X10)),divide(divide(X7,X6),inverse(divide(divide(divide(X6,X7),X8),X9)))),X8) = X10,
inference(superposition,[],[f2711,f2711]) ).
fof(f2711,plain,
! [X10,X11,X8,X9] : divide(divide(inverse(divide(divide(divide(X9,X10),X8),X11)),divide(X10,X9)),X8) = X11,
inference(superposition,[],[f1108,f1]) ).
fof(f1108,plain,
! [X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f8]) ).
fof(f58637,plain,
! [X1000,X1005,X1004,X1002,X1001,X998,X1003,X997,X999] : multiply(divide(X998,X999),divide(multiply(divide(X999,X998),X1000),multiply(divide(X1001,X1002),X1000))) = divide(divide(inverse(divide(X997,divide(X1002,X1001))),multiply(divide(X1003,X1004),divide(divide(divide(X1004,X1003),X1005),X997))),X1005),
inference(superposition,[],[f3006,f1332]) ).
fof(f1332,plain,
! [X18,X19,X14,X17,X15,X20] : divide(X17,divide(X15,X14)) = divide(X17,multiply(divide(X18,X19),divide(multiply(divide(X19,X18),X20),multiply(divide(X14,X15),X20)))),
inference(superposition,[],[f29,f1106]) ).
fof(f29,plain,
! [X16,X14,X17,X15,X12,X13] : divide(inverse(divide(divide(X15,X16),divide(X17,X16))),multiply(divide(X13,X12),divide(multiply(divide(X12,X13),X14),multiply(X15,X14)))) = X17,
inference(forward_demodulation,[],[f23,f2]) ).
fof(f23,plain,
! [X16,X14,X17,X15,X12,X13] : divide(inverse(divide(divide(X15,X16),divide(X17,X16))),divide(divide(X13,X12),inverse(divide(multiply(divide(X12,X13),X14),multiply(X15,X14))))) = X17,
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f69277,plain,
! [X111,X109,X112,X110] : divide(divide(X110,X111),inverse(divide(X109,X109))) = divide(inverse(divide(X112,X112)),divide(X111,X110)),
inference(superposition,[],[f68600,f68600]) ).
fof(f61712,plain,
! [X345,X344,X342,X341,X346] : divide(inverse(divide(divide(X345,X344),multiply(X346,divide(divide(X342,X341),divide(divide(X344,X345),X341))))),X342) = X346,
inference(forward_demodulation,[],[f61465,f9854]) ).
fof(f9854,plain,
! [X40,X41,X46,X44,X45,X42,X43] : multiply(X45,divide(multiply(divide(inverse(divide(divide(divide(X44,X43),X42),X40)),divide(X43,X44)),X46),multiply(X41,X46))) = multiply(X45,divide(X40,divide(X41,X42))),
inference(forward_demodulation,[],[f9668,f2]) ).
fof(f9668,plain,
! [X40,X41,X46,X44,X45,X42,X43] : divide(X45,inverse(divide(X40,divide(X41,X42)))) = multiply(X45,divide(multiply(divide(inverse(divide(divide(divide(X44,X43),X42),X40)),divide(X43,X44)),X46),multiply(X41,X46))),
inference(superposition,[],[f1739,f2903]) ).
fof(f2903,plain,
! [X8,X6,X9,X7,X5] : divide(inverse(divide(X8,divide(X9,X7))),multiply(divide(X6,X5),divide(divide(divide(X5,X6),X7),X8))) = X9,
inference(superposition,[],[f9,f2711]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(inverse(X1),X0),X2),divide(X3,X2))),multiply(X0,X1)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f1739,plain,
! [X26,X24,X22,X25,X23] : divide(X26,X25) = multiply(X26,divide(multiply(divide(inverse(X22),X23),X24),multiply(divide(X25,multiply(X23,X22)),X24))),
inference(superposition,[],[f2,f1409]) ).
fof(f1409,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(inverse(X1),X0),X2),multiply(divide(X3,multiply(X0,X1)),X2))) = X3,
inference(superposition,[],[f1361,f2]) ).
fof(f1361,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X1),X2),multiply(divide(X3,divide(X1,X0)),X2))) = X3,
inference(forward_demodulation,[],[f1300,f2]) ).
fof(f1300,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),inverse(X2)))) = X3,
inference(superposition,[],[f1106,f2]) ).
fof(f61465,plain,
! [X345,X344,X342,X343,X341,X340,X339,X346] : divide(inverse(divide(divide(X345,X344),multiply(X346,divide(multiply(divide(inverse(divide(divide(divide(X340,X339),X341),divide(X342,X341))),divide(X339,X340)),X343),multiply(divide(X344,X345),X343))))),X342) = X346,
inference(superposition,[],[f26,f59542]) ).
fof(f59542,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = multiply(multiply(X0,X1),divide(multiply(divide(inverse(X1),X0),X4),multiply(divide(X3,X2),X4))),
inference(superposition,[],[f59252,f2]) ).
fof(f26,plain,
! [X8,X6,X9,X7,X4,X5] : divide(inverse(divide(multiply(multiply(divide(X5,X4),divide(divide(divide(X4,X5),X6),divide(X7,X6))),X8),multiply(X9,X8))),X7) = X9,
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,plain,
! [X8,X6,X9,X7,X4,X5] : divide(inverse(divide(multiply(divide(divide(X5,X4),inverse(divide(divide(divide(X4,X5),X6),divide(X7,X6)))),X8),multiply(X9,X8))),X7) = X9,
inference(superposition,[],[f12,f1]) ).
fof(f72349,plain,
! [X892,X891,X894,X893] : inverse(multiply(inverse(X894),X894)) = divide(divide(inverse(divide(divide(X891,X892),X893)),divide(X892,X891)),X893),
inference(superposition,[],[f2874,f71487]) ).
fof(f71487,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f70672,f2]) ).
fof(f2874,plain,
! [X2,X3,X0,X1] : inverse(X3) = divide(divide(inverse(multiply(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2),
inference(superposition,[],[f2711,f2]) ).
fof(f82332,plain,
! [X187] : multiply(inverse(a1),a1) != divide(X187,X187),
inference(superposition,[],[f3,f78002]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/tmp/tmp.aEAYHfEkEc/Vampire---4.8_29929',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Aug 30 17:22:14 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.43 % (30089)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (30114)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (30115)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (30117)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (30116)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)
% 0.22/0.43 % (30118)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)
% 0.22/0.43 % (30119)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)
% 0.22/0.43 % (30120)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)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.45 TRYING [4]
% 0.22/0.48 TRYING [5]
% 2.40/0.75 TRYING [5]
% 3.38/0.89 TRYING [6]
% 7.32/1.53 TRYING [1]
% 7.32/1.53 TRYING [2]
% 7.32/1.53 TRYING [3]
% 7.32/1.53 TRYING [4]
% 8.01/1.57 TRYING [5]
% 11.97/2.11 TRYING [6]
% 13.00/2.29 % (30120)First to succeed.
% 13.32/2.30 % (30120)Refutation found. Thanks to Tanya!
% 13.32/2.30 % SZS status Unsatisfiable for Vampire---4
% 13.32/2.30 % SZS output start Proof for Vampire---4
% See solution above
% 13.32/2.30 % (30120)------------------------------
% 13.32/2.30 % (30120)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 13.32/2.30 % (30120)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 13.32/2.30 % (30120)Termination reason: Refutation
% 13.32/2.30
% 13.32/2.30 % (30120)Memory used [KB]: 93516
% 13.32/2.30 % (30120)Time elapsed: 1.857 s
% 13.32/2.30 % (30120)------------------------------
% 13.32/2.30 % (30120)------------------------------
% 13.32/2.30 % (30089)Success in time 1.899 s
% 13.32/2.30 % Vampire---4.8 exiting
%------------------------------------------------------------------------------