TSTP Solution File: GRP492-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP492-1 : 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 : n026.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 15:55:43 EDT 2023
% Result : Unsatisfiable 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 84 unt; 0 def)
% Number of atoms : 84 ( 83 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 139 (; 139 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6142,plain,
$false,
inference(trivial_inequality_removal,[],[f6107]) ).
fof(f6107,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f5317]) ).
fof(f5317,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,X0)),
inference(superposition,[],[f1365,f4971]) ).
fof(f4971,plain,
! [X8,X6,X7] : double_divide(double_divide(X8,multiply(X7,X6)),multiply(X6,X8)) = X7,
inference(forward_demodulation,[],[f4864,f711]) ).
fof(f711,plain,
! [X2,X3] : double_divide(X2,X3) = inverse(multiply(X3,X2)),
inference(backward_demodulation,[],[f13,f684]) ).
fof(f684,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f7,f633]) ).
fof(f633,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f234,f608]) ).
fof(f608,plain,
! [X14] : inverse(X14) = double_divide(identity,X14),
inference(backward_demodulation,[],[f598,f600]) ).
fof(f600,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f332,f598]) ).
fof(f332,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(backward_demodulation,[],[f282,f303]) ).
fof(f303,plain,
identity = inverse(identity),
inference(superposition,[],[f262,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/tmp/tmp.0jwH7BzAKH/Vampire---4.8_10450',inverse) ).
fof(f262,plain,
identity = double_divide(identity,identity),
inference(backward_demodulation,[],[f233,f252]) ).
fof(f252,plain,
identity = multiply(identity,identity),
inference(superposition,[],[f235,f7]) ).
fof(f235,plain,
identity = double_divide(inverse(identity),identity),
inference(backward_demodulation,[],[f201,f233]) ).
fof(f201,plain,
identity = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))),
inference(superposition,[],[f196,f3]) ).
fof(f196,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,multiply(identity,identity))) = X0,
inference(forward_demodulation,[],[f189,f15]) ).
fof(f15,plain,
! [X1] : inverse(inverse(X1)) = multiply(identity,X1),
inference(superposition,[],[f7,f3]) ).
fof(f189,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity)))) = X0,
inference(superposition,[],[f65,f12]) ).
fof(f12,plain,
! [X1] : multiply(inverse(X1),X1) = inverse(identity),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X1] : multiply(inverse(X1),X1) = double_divide(identity,identity),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.0jwH7BzAKH/Vampire---4.8_10450',identity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.0jwH7BzAKH/Vampire---4.8_10450',multiply) ).
fof(f65,plain,
! [X2,X3] : double_divide(double_divide(identity,X3),double_divide(identity,inverse(multiply(inverse(X2),X3)))) = X2,
inference(forward_demodulation,[],[f56,f3]) ).
fof(f56,plain,
! [X2,X3] : double_divide(double_divide(identity,X3),double_divide(identity,double_divide(multiply(inverse(X2),X3),identity))) = X2,
inference(superposition,[],[f14,f4]) ).
fof(f14,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(backward_demodulation,[],[f6,f10]) ).
fof(f10,plain,
! [X2,X3] : multiply(X3,X2) = inverse(double_divide(X2,X3)),
inference(superposition,[],[f2,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.0jwH7BzAKH/Vampire---4.8_10450',single_axiom) ).
fof(f233,plain,
identity = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[],[f224,f201]) ).
fof(f224,plain,
double_divide(identity,multiply(identity,identity)) = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))),
inference(superposition,[],[f196,f202]) ).
fof(f202,plain,
inverse(identity) = double_divide(identity,double_divide(identity,multiply(identity,identity))),
inference(superposition,[],[f196,f4]) ).
fof(f282,plain,
! [X0] : double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f281,f3]) ).
fof(f281,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f276,f3]) ).
fof(f276,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(superposition,[],[f14,f252]) ).
fof(f598,plain,
! [X14] : double_divide(identity,X14) = double_divide(identity,double_divide(identity,inverse(X14))),
inference(forward_demodulation,[],[f575,f3]) ).
fof(f575,plain,
! [X14] : double_divide(identity,X14) = double_divide(identity,double_divide(identity,double_divide(X14,identity))),
inference(superposition,[],[f378,f388]) ).
fof(f388,plain,
! [X2] : identity = double_divide(double_divide(identity,X2),X2),
inference(superposition,[],[f29,f368]) ).
fof(f368,plain,
! [X1] : multiply(X1,identity) = X1,
inference(superposition,[],[f234,f2]) ).
fof(f29,plain,
! [X6,X7] : identity = double_divide(double_divide(X6,X7),multiply(X7,X6)),
inference(superposition,[],[f4,f10]) ).
fof(f378,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(backward_demodulation,[],[f316,f368]) ).
fof(f316,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0)))) = X1,
inference(backward_demodulation,[],[f52,f303]) ).
fof(f52,plain,
! [X0,X1] : double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0)))) = X1,
inference(superposition,[],[f14,f3]) ).
fof(f234,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f196,f233]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f13,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = inverse(multiply(X3,X2)),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = double_divide(multiply(X3,X2),identity),
inference(superposition,[],[f2,f2]) ).
fof(f4864,plain,
! [X8,X6,X7] : double_divide(inverse(multiply(multiply(X7,X6),X8)),multiply(X6,X8)) = X7,
inference(superposition,[],[f939,f1263]) ).
fof(f1263,plain,
! [X21,X22,X23] : multiply(double_divide(X23,X22),multiply(multiply(X22,X23),X21)) = X21,
inference(forward_demodulation,[],[f1240,f685]) ).
fof(f685,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f15,f684]) ).
fof(f1240,plain,
! [X21,X22,X23] : inverse(inverse(X21)) = multiply(double_divide(X23,X22),multiply(multiply(X22,X23),X21)),
inference(superposition,[],[f923,f705]) ).
fof(f705,plain,
! [X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(X6),multiply(multiply(X5,X4),X6)),
inference(backward_demodulation,[],[f655,f684]) ).
fof(f655,plain,
! [X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(X6),multiply(multiply(X5,X4),multiply(identity,X6))),
inference(forward_demodulation,[],[f654,f10]) ).
fof(f654,plain,
! [X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(X6),inverse(double_divide(multiply(identity,X6),multiply(X5,X4)))),
inference(forward_demodulation,[],[f621,f608]) ).
fof(f621,plain,
! [X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(X6),double_divide(identity,double_divide(multiply(identity,X6),multiply(X5,X4)))),
inference(backward_demodulation,[],[f57,f608]) ).
fof(f57,plain,
! [X6,X4,X5] : double_divide(X4,X5) = double_divide(double_divide(identity,X6),double_divide(identity,double_divide(multiply(identity,X6),multiply(X5,X4)))),
inference(superposition,[],[f14,f2]) ).
fof(f923,plain,
! [X0,X1] : inverse(X1) = multiply(double_divide(X1,X0),X0),
inference(forward_demodulation,[],[f917,f3]) ).
fof(f917,plain,
! [X0,X1] : double_divide(X1,identity) = multiply(double_divide(X1,X0),X0),
inference(superposition,[],[f2,f609]) ).
fof(f609,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f602,f600]) ).
fof(f602,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
inference(backward_demodulation,[],[f449,f600]) ).
fof(f449,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f14,f417]) ).
fof(f417,plain,
! [X9] : identity = multiply(X9,double_divide(identity,X9)),
inference(superposition,[],[f313,f369]) ).
fof(f369,plain,
! [X2] : inverse(double_divide(identity,X2)) = X2,
inference(superposition,[],[f234,f3]) ).
fof(f313,plain,
! [X1] : identity = multiply(inverse(X1),X1),
inference(backward_demodulation,[],[f12,f303]) ).
fof(f939,plain,
! [X6,X4,X5] : double_divide(inverse(X6),multiply(X5,multiply(double_divide(X5,X4),X6))) = X4,
inference(superposition,[],[f651,f609]) ).
fof(f651,plain,
! [X2,X0,X1] : double_divide(inverse(X0),multiply(double_divide(X2,X1),multiply(X1,X0))) = X2,
inference(forward_demodulation,[],[f650,f10]) ).
fof(f650,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[],[f619,f608]) ).
fof(f619,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
inference(backward_demodulation,[],[f14,f608]) ).
fof(f1365,plain,
! [X6,X4,X5] : multiply(X4,X5) = multiply(double_divide(double_divide(X5,X4),X6),X6),
inference(superposition,[],[f1318,f711]) ).
fof(f1318,plain,
! [X11,X12] : multiply(double_divide(inverse(X12),X11),X11) = X12,
inference(forward_demodulation,[],[f1302,f711]) ).
fof(f1302,plain,
! [X11,X12] : multiply(inverse(multiply(X11,inverse(X12))),X11) = X12,
inference(superposition,[],[f1187,f1200]) ).
fof(f1200,plain,
! [X8,X7] : multiply(multiply(X8,inverse(X7)),X7) = X8,
inference(superposition,[],[f1183,f685]) ).
fof(f1183,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(forward_demodulation,[],[f1182,f685]) ).
fof(f1182,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f1168,f3]) ).
fof(f1168,plain,
! [X0,X1] : double_divide(inverse(X1),identity) = multiply(multiply(X1,X0),inverse(X0)),
inference(superposition,[],[f2,f755]) ).
fof(f755,plain,
! [X14,X15] : inverse(X14) = double_divide(inverse(X15),multiply(X14,X15)),
inference(forward_demodulation,[],[f706,f684]) ).
fof(f706,plain,
! [X14,X15] : inverse(X14) = double_divide(inverse(X15),multiply(X14,multiply(identity,X15))),
inference(backward_demodulation,[],[f662,f684]) ).
fof(f662,plain,
! [X14,X15] : inverse(X14) = double_divide(inverse(X15),multiply(multiply(identity,X14),multiply(identity,X15))),
inference(forward_demodulation,[],[f661,f10]) ).
fof(f661,plain,
! [X14,X15] : inverse(X14) = double_divide(inverse(X15),inverse(double_divide(multiply(identity,X15),multiply(identity,X14)))),
inference(forward_demodulation,[],[f623,f608]) ).
fof(f623,plain,
! [X14,X15] : inverse(X14) = double_divide(inverse(X15),double_divide(identity,double_divide(multiply(identity,X15),multiply(identity,X14)))),
inference(backward_demodulation,[],[f60,f608]) ).
fof(f60,plain,
! [X14,X15] : inverse(X14) = double_divide(double_divide(identity,X15),double_divide(identity,double_divide(multiply(identity,X15),multiply(identity,X14)))),
inference(superposition,[],[f14,f7]) ).
fof(f1187,plain,
! [X12,X13] : multiply(inverse(X13),multiply(X13,X12)) = X12,
inference(forward_demodulation,[],[f1174,f685]) ).
fof(f1174,plain,
! [X12,X13] : inverse(inverse(X12)) = multiply(inverse(X13),multiply(X13,X12)),
inference(superposition,[],[f923,f755]) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/tmp/tmp.0jwH7BzAKH/Vampire---4.8_10450',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 17:45:06 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.43 % (10882)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (10893)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (10894)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (10896)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (10895)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)
% 0.23/0.43 % (10897)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)
% 0.23/0.43 % (10898)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)
% 0.23/0.43 % (10899)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)
% 0.23/0.43 TRYING [1]
% 0.23/0.43 TRYING [2]
% 0.23/0.43 TRYING [1]
% 0.23/0.43 TRYING [2]
% 0.23/0.43 TRYING [3]
% 0.23/0.44 TRYING [3]
% 0.23/0.44 TRYING [4]
% 0.23/0.45 TRYING [5]
% 0.23/0.46 TRYING [4]
% 0.23/0.50 TRYING [6]
% 0.23/0.53 TRYING [1]
% 0.23/0.53 TRYING [2]
% 0.23/0.53 TRYING [3]
% 0.23/0.54 TRYING [4]
% 0.23/0.54 % (10898)First to succeed.
% 0.23/0.54 % (10898)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.54 % (10898)------------------------------
% 0.23/0.54 % (10898)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.54 % (10898)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.54 % (10898)Termination reason: Refutation
% 0.23/0.54
% 0.23/0.54 % (10898)Memory used [KB]: 3965
% 0.23/0.54 % (10898)Time elapsed: 0.112 s
% 0.23/0.54 % (10898)------------------------------
% 0.23/0.54 % (10898)------------------------------
% 0.23/0.54 % (10882)Success in time 0.171 s
% 0.23/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------