TSTP Solution File: BOO071-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : BOO071-1 : 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 : n025.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 : Wed Aug 30 18:12:23 EDT 2023
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 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 : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 68 (; 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f959,plain,
$false,
inference(trivial_inequality_removal,[],[f943]) ).
fof(f943,plain,
a != a,
inference(backward_demodulation,[],[f2,f908]) ).
fof(f908,plain,
! [X4,X5] : multiply(inverse(X4),X4,X5) = X5,
inference(superposition,[],[f852,f866]) ).
fof(f866,plain,
! [X9] : inverse(inverse(X9)) = X9,
inference(superposition,[],[f852,f638]) ).
fof(f638,plain,
! [X45,X43] : multiply(inverse(X43),X45,X43) = X45,
inference(forward_demodulation,[],[f578,f530]) ).
fof(f530,plain,
! [X21,X18,X16,X17,X22] : multiply(multiply(X21,inverse(X21),X22),inverse(multiply(X18,inverse(X18),multiply(X16,inverse(X16),X17))),multiply(inverse(X18),X17,X18)) = X22,
inference(superposition,[],[f181,f44]) ).
fof(f44,plain,
! [X40,X38,X39,X36,X37,X34,X35] : multiply(multiply(X37,inverse(X37),X38),inverse(multiply(multiply(X39,X40,X34),multiply(X35,inverse(multiply(X34,inverse(X34),X36)),X36),multiply(X39,X40,inverse(X34)))),multiply(X40,X35,X39)) = X38,
inference(superposition,[],[f1,f23]) ).
fof(f23,plain,
! [X0,X1,X7] : multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X7)),X7),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X1,multiply(X3,inverse(multiply(X0,X1,X2)),X2),X0) = multiply(multiply(X0,X1,X3),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.jRxl5WTAeF/Vampire---4.8_23662',single_axiom) ).
fof(f181,plain,
! [X10,X11,X9,X14,X15,X12,X13] : multiply(multiply(X14,inverse(X14),X15),inverse(X10),multiply(inverse(X9),multiply(X11,inverse(multiply(multiply(X11,X9,X12),multiply(inverse(X9),inverse(multiply(X12,inverse(X12),X13)),X13),multiply(X11,X9,inverse(X12)))),X10),X9)) = X15,
inference(superposition,[],[f1,f44]) ).
fof(f578,plain,
! [X48,X46,X47,X44,X45,X43] : multiply(inverse(X43),X45,X43) = multiply(multiply(X44,inverse(X44),X45),inverse(multiply(X46,inverse(X46),multiply(X47,inverse(X47),X48))),multiply(inverse(X46),X48,X46)),
inference(superposition,[],[f530,f530]) ).
fof(f852,plain,
! [X21,X20] : multiply(X20,inverse(X20),X21) = X21,
inference(forward_demodulation,[],[f822,f656]) ).
fof(f656,plain,
! [X0,X1,X7] : multiply(X1,inverse(multiply(X0,inverse(X0),X7)),X7) = X1,
inference(backward_demodulation,[],[f23,f638]) ).
fof(f822,plain,
! [X21,X19,X22,X20] : multiply(multiply(X20,inverse(X20),X21),inverse(multiply(multiply(X19,inverse(X19),X22),inverse(multiply(X19,inverse(X19),X22)),X19)),X19) = X21,
inference(superposition,[],[f40,f806]) ).
fof(f806,plain,
! [X40,X39] : multiply(X40,inverse(X39),X39) = X40,
inference(backward_demodulation,[],[f723,f777]) ).
fof(f777,plain,
! [X2] : inverse(X2) = inverse(inverse(inverse(X2))),
inference(superposition,[],[f723,f638]) ).
fof(f723,plain,
! [X40,X39] : multiply(X40,inverse(inverse(inverse(X39))),X39) = X40,
inference(superposition,[],[f656,f638]) ).
fof(f40,plain,
! [X10,X11,X8,X9,X7] : multiply(multiply(X10,inverse(X10),X11),inverse(multiply(multiply(X7,inverse(X7),X9),inverse(multiply(X7,inverse(X7),X9)),multiply(X7,inverse(X7),X8))),X8) = X11,
inference(superposition,[],[f1,f23]) ).
fof(f2,axiom,
a != multiply(inverse(b),b,a),
file('/export/starexec/sandbox2/tmp/tmp.jRxl5WTAeF/Vampire---4.8_23662',prove_tba_axioms_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:22:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.20/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.jRxl5WTAeF/Vampire---4.8_23662
% 0.20/0.36 % (23830)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (23840)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.20/0.42 % (23833)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.20/0.42 % (23838)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.20/0.42 % (23834)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.20/0.42 % (23836)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.20/0.44 % (23839)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.20/0.44 % (23831)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.20/0.49 % (23839)First to succeed.
% 0.20/0.49 % (23839)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.49 % (23839)------------------------------
% 0.20/0.49 % (23839)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.49 % (23839)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.49 % (23839)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (23839)Memory used [KB]: 2302
% 0.20/0.49 % (23839)Time elapsed: 0.054 s
% 0.20/0.49 % (23839)------------------------------
% 0.20/0.49 % (23839)------------------------------
% 0.20/0.49 % (23830)Success in time 0.131 s
% 0.20/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------