TSTP Solution File: GRP455-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP455-1 : 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 : n031.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 15:55:27 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 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 : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f404,plain,
$false,
inference(trivial_inequality_removal,[],[f392]) ).
fof(f392,plain,
a2 != a2,
inference(superposition,[],[f19,f309]) ).
fof(f309,plain,
! [X20] : inverse(inverse(X20)) = X20,
inference(forward_demodulation,[],[f280,f292]) ).
fof(f292,plain,
! [X2] : inverse(X2) = inverse(inverse(inverse(X2))),
inference(forward_demodulation,[],[f291,f266]) ).
fof(f266,plain,
! [X1] : divide(X1,identity) = X1,
inference(superposition,[],[f55,f228]) ).
fof(f228,plain,
! [X2] : inverse(inverse(divide(X2,identity))) = X2,
inference(superposition,[],[f216,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.OcYSHjAjAQ/Vampire---4.8_12543',inverse) ).
fof(f216,plain,
! [X0] : divide(identity,inverse(divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f198,f10]) ).
fof(f10,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.OcYSHjAjAQ/Vampire---4.8_12543',identity) ).
fof(f198,plain,
! [X0] : divide(inverse(identity),inverse(divide(X0,identity))) = X0,
inference(superposition,[],[f34,f4]) ).
fof(f34,plain,
! [X0,X1] : divide(inverse(divide(X0,divide(X1,identity))),inverse(X0)) = X1,
inference(superposition,[],[f9,f4]) ).
fof(f9,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.OcYSHjAjAQ/Vampire---4.8_12543',single_axiom) ).
fof(f55,plain,
! [X2] : divide(inverse(inverse(divide(X2,identity))),identity) = X2,
inference(superposition,[],[f45,f12]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f6,f10]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/tmp/tmp.OcYSHjAjAQ/Vampire---4.8_12543',multiply) ).
fof(f45,plain,
! [X0,X1] : divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(forward_demodulation,[],[f44,f6]) ).
fof(f44,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(forward_demodulation,[],[f43,f3]) ).
fof(f43,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1) = X0,
inference(forward_demodulation,[],[f33,f3]) ).
fof(f33,plain,
! [X0,X1] : divide(inverse(divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f9,f10]) ).
fof(f291,plain,
! [X2] : inverse(divide(X2,identity)) = inverse(inverse(inverse(X2))),
inference(forward_demodulation,[],[f267,f3]) ).
fof(f267,plain,
! [X2] : inverse(divide(X2,identity)) = divide(identity,inverse(inverse(X2))),
inference(superposition,[],[f169,f228]) ).
fof(f169,plain,
! [X1] : inverse(X1) = divide(identity,inverse(inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f168,f10]) ).
fof(f168,plain,
! [X1] : inverse(X1) = divide(inverse(identity),inverse(inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f162,f10]) ).
fof(f162,plain,
! [X1] : inverse(X1) = divide(inverse(inverse(identity)),inverse(inverse(inverse(inverse(X1))))),
inference(superposition,[],[f45,f147]) ).
fof(f147,plain,
! [X12] : identity = multiply(inverse(X12),inverse(inverse(inverse(inverse(X12))))),
inference(superposition,[],[f13,f132]) ).
fof(f132,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(inverse(inverse(X0))))),
inference(forward_demodulation,[],[f131,f3]) ).
fof(f131,plain,
! [X0] : divide(identity,X0) = inverse(inverse(inverse(inverse(inverse(X0))))),
inference(forward_demodulation,[],[f130,f10]) ).
fof(f130,plain,
! [X0] : divide(inverse(identity),X0) = inverse(inverse(inverse(inverse(inverse(X0))))),
inference(forward_demodulation,[],[f123,f10]) ).
fof(f123,plain,
! [X0] : divide(inverse(inverse(identity)),X0) = inverse(inverse(inverse(inverse(inverse(X0))))),
inference(superposition,[],[f45,f65]) ).
fof(f65,plain,
! [X1] : identity = multiply(inverse(inverse(inverse(inverse(inverse(X1))))),X1),
inference(superposition,[],[f54,f6]) ).
fof(f54,plain,
! [X1] : identity = divide(inverse(inverse(inverse(inverse(X1)))),X1),
inference(superposition,[],[f45,f14]) ).
fof(f14,plain,
! [X3] : inverse(inverse(X3)) = multiply(identity,X3),
inference(superposition,[],[f6,f3]) ).
fof(f13,plain,
! [X2] : identity = multiply(inverse(X2),X2),
inference(superposition,[],[f6,f4]) ).
fof(f280,plain,
! [X20] : inverse(inverse(inverse(inverse(X20)))) = X20,
inference(superposition,[],[f132,f228]) ).
fof(f19,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f5,f14]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/tmp/tmp.OcYSHjAjAQ/Vampire---4.8_12543',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP455-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 17:48:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (12716)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12739)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 % (12740)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 % (12742)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (12741)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 % (12743)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 % (12744)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 % (12745)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 [3]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 % (12745)First to succeed.
% 0.22/0.44 % (12745)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (12745)------------------------------
% 0.22/0.44 % (12745)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (12745)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (12745)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (12745)Memory used [KB]: 1023
% 0.22/0.44 % (12745)Time elapsed: 0.011 s
% 0.22/0.44 % (12745)------------------------------
% 0.22/0.44 % (12745)------------------------------
% 0.22/0.44 % (12716)Success in time 0.07 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------