TSTP Solution File: GRP495-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP495-1 : 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 : n027.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 15:55:44 EDT 2023
% Result : Unsatisfiable 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 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 : 84 (; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3226,plain,
$false,
inference(trivial_inequality_removal,[],[f3203]) ).
fof(f3203,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f2135]) ).
fof(f2135,plain,
! [X31,X32,X30] : multiply(multiply(X30,X31),X32) = multiply(X30,multiply(X31,X32)),
inference(forward_demodulation,[],[f2059,f10]) ).
fof(f10,plain,
! [X2,X3] : multiply(X3,X2) = inverse(double_divide(X2,X3)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/tmp/tmp.p7r5E4QXbh/Vampire---4.8_23322',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.p7r5E4QXbh/Vampire---4.8_23322',multiply) ).
fof(f2059,plain,
! [X31,X32,X30] : inverse(double_divide(multiply(X31,X32),X30)) = multiply(multiply(X30,X31),X32),
inference(superposition,[],[f903,f905]) ).
fof(f905,plain,
! [X8,X9,X7] : double_divide(multiply(X8,X7),double_divide(multiply(X7,X9),X8)) = X9,
inference(forward_demodulation,[],[f891,f10]) ).
fof(f891,plain,
! [X8,X9,X7] : double_divide(inverse(double_divide(X7,X8)),double_divide(multiply(X7,X9),X8)) = X9,
inference(superposition,[],[f597,f855]) ).
fof(f855,plain,
! [X2,X3] : double_divide(double_divide(X3,X2),X3) = X2,
inference(superposition,[],[f655,f655]) ).
fof(f655,plain,
! [X6,X7] : double_divide(X6,double_divide(X7,X6)) = X7,
inference(forward_demodulation,[],[f654,f630]) ).
fof(f630,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f14,f629]) ).
fof(f629,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f7,f596]) ).
fof(f596,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f260,f590]) ).
fof(f590,plain,
! [X2] : inverse(X2) = double_divide(identity,X2),
inference(backward_demodulation,[],[f543,f588]) ).
fof(f588,plain,
! [X5] : inverse(X5) = double_divide(identity,multiply(identity,X5)),
inference(backward_demodulation,[],[f546,f587]) ).
fof(f587,plain,
! [X1] : multiply(identity,X1) = multiply(identity,multiply(identity,X1)),
inference(forward_demodulation,[],[f567,f14]) ).
fof(f567,plain,
! [X1] : inverse(inverse(X1)) = multiply(identity,multiply(identity,X1)),
inference(backward_demodulation,[],[f88,f562]) ).
fof(f562,plain,
! [X2] : inverse(X2) = multiply(identity,inverse(X2)),
inference(forward_demodulation,[],[f548,f3]) ).
fof(f548,plain,
! [X2] : multiply(identity,inverse(X2)) = double_divide(X2,identity),
inference(superposition,[],[f260,f436]) ).
fof(f436,plain,
! [X4] : double_divide(identity,multiply(identity,inverse(X4))) = X4,
inference(forward_demodulation,[],[f435,f17]) ).
fof(f17,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f14,f14]) ).
fof(f435,plain,
! [X4] : double_divide(identity,inverse(multiply(identity,X4))) = X4,
inference(forward_demodulation,[],[f417,f3]) ).
fof(f417,plain,
! [X4] : double_divide(identity,double_divide(multiply(identity,X4),identity)) = X4,
inference(superposition,[],[f263,f261]) ).
fof(f261,plain,
identity = double_divide(identity,identity),
inference(backward_demodulation,[],[f220,f231]) ).
fof(f231,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f221,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.p7r5E4QXbh/Vampire---4.8_23322',identity) ).
fof(f221,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f215,f4]) ).
fof(f215,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = X0,
inference(forward_demodulation,[],[f207,f3]) ).
fof(f207,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(superposition,[],[f71,f4]) ).
fof(f71,plain,
! [X2,X3] : double_divide(double_divide(identity,X3),double_divide(identity,double_divide(X3,inverse(X2)))) = X2,
inference(forward_demodulation,[],[f54,f4]) ).
fof(f54,plain,
! [X2,X3] : double_divide(double_divide(identity,X3),double_divide(double_divide(identity,inverse(identity)),double_divide(X3,inverse(X2)))) = X2,
inference(superposition,[],[f6,f4]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.p7r5E4QXbh/Vampire---4.8_23322',single_axiom) ).
fof(f220,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(superposition,[],[f215,f3]) ).
fof(f263,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(multiply(X2,X1),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f262,f10]) ).
fof(f262,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f232,f3]) ).
fof(f232,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[],[f6,f231]) ).
fof(f88,plain,
! [X1] : multiply(identity,multiply(identity,X1)) = inverse(multiply(identity,inverse(X1))),
inference(superposition,[],[f14,f17]) ).
fof(f546,plain,
! [X5] : inverse(X5) = double_divide(identity,multiply(identity,multiply(identity,X5))),
inference(superposition,[],[f436,f14]) ).
fof(f543,plain,
! [X2] : double_divide(identity,X2) = double_divide(identity,multiply(identity,X2)),
inference(superposition,[],[f436,f360]) ).
fof(f360,plain,
! [X2] : inverse(double_divide(identity,X2)) = X2,
inference(superposition,[],[f260,f3]) ).
fof(f260,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f215,f231]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f14,plain,
! [X1] : inverse(inverse(X1)) = multiply(identity,X1),
inference(superposition,[],[f7,f3]) ).
fof(f654,plain,
! [X6,X7] : double_divide(inverse(inverse(X6)),double_divide(X7,X6)) = X7,
inference(forward_demodulation,[],[f653,f590]) ).
fof(f653,plain,
! [X6,X7] : double_divide(double_divide(identity,inverse(X6)),double_divide(X7,X6)) = X7,
inference(forward_demodulation,[],[f609,f629]) ).
fof(f609,plain,
! [X6,X7] : double_divide(double_divide(identity,inverse(X6)),double_divide(multiply(identity,X7),X6)) = X7,
inference(backward_demodulation,[],[f305,f590]) ).
fof(f305,plain,
! [X6,X7] : double_divide(double_divide(identity,double_divide(identity,X6)),double_divide(multiply(identity,X7),X6)) = X7,
inference(forward_demodulation,[],[f304,f10]) ).
fof(f304,plain,
! [X6,X7] : double_divide(double_divide(identity,double_divide(identity,X6)),double_divide(inverse(double_divide(X7,identity)),X6)) = X7,
inference(forward_demodulation,[],[f303,f3]) ).
fof(f303,plain,
! [X6,X7] : double_divide(double_divide(identity,double_divide(identity,X6)),double_divide(double_divide(double_divide(X7,identity),identity),X6)) = X7,
inference(forward_demodulation,[],[f226,f231]) ).
fof(f226,plain,
! [X6,X7] : double_divide(double_divide(identity,double_divide(identity,X6)),double_divide(double_divide(double_divide(X7,inverse(identity)),inverse(identity)),X6)) = X7,
inference(superposition,[],[f6,f215]) ).
fof(f597,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(multiply(X2,X1),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[],[f263,f590]) ).
fof(f903,plain,
! [X2,X1] : inverse(X2) = multiply(X1,double_divide(X1,X2)),
inference(forward_demodulation,[],[f888,f3]) ).
fof(f888,plain,
! [X2,X1] : double_divide(X2,identity) = multiply(X1,double_divide(X1,X2)),
inference(superposition,[],[f2,f855]) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/tmp/tmp.p7r5E4QXbh/Vampire---4.8_23322',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP495-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n027.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Aug 30 17:54:24 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.18/0.38 % (23463)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (23469)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.38 % (23468)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)
% 0.18/0.38 % (23470)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)
% 0.18/0.38 % (23471)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)
% 0.18/0.38 % (23472)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)
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [2]
% 0.18/0.38 % (23466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.38 TRYING [3]
% 0.18/0.38 % (23464)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.39 TRYING [4]
% 0.18/0.39 TRYING [1]
% 0.18/0.39 TRYING [2]
% 0.18/0.39 TRYING [3]
% 0.18/0.39 TRYING [5]
% 0.18/0.40 TRYING [4]
% 0.18/0.41 TRYING [6]
% 0.18/0.42 % (23471)First to succeed.
% 0.18/0.42 % (23471)Refutation found. Thanks to Tanya!
% 0.18/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.42 % (23471)------------------------------
% 0.18/0.42 % (23471)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.42 % (23471)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.42 % (23471)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (23471)Memory used [KB]: 2558
% 0.18/0.42 % (23471)Time elapsed: 0.037 s
% 0.18/0.42 % (23471)------------------------------
% 0.18/0.42 % (23471)------------------------------
% 0.18/0.42 % (23463)Success in time 0.067 s
% 0.18/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------