TSTP Solution File: GRP067-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : n021.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 15:38:52 EDT 2023
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 44 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 72 (; 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2179,plain,
$false,
inference(trivial_inequality_removal,[],[f2164]) ).
fof(f2164,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f271,f1813]) ).
fof(f1813,plain,
! [X10,X11,X12] : multiply(X10,multiply(X11,X12)) = multiply(multiply(X10,X11),X12),
inference(superposition,[],[f599,f267]) ).
fof(f267,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[],[f138,f234]) ).
fof(f234,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f230,f233]) ).
fof(f233,plain,
! [X0] : divide(multiply(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f180,f230]) ).
fof(f180,plain,
! [X0] : divide(divide(multiply(identity,X0),identity),identity) = X0,
inference(backward_demodulation,[],[f152,f175]) ).
fof(f175,plain,
! [X0] : multiply(identity,divide(X0,identity)) = divide(multiply(identity,X0),identity),
inference(superposition,[],[f152,f152]) ).
fof(f152,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(superposition,[],[f138,f12]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f6,f10]) ).
fof(f10,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
file('/export/starexec/sandbox2/tmp/tmp.TeGrnxZeie/Vampire---4.8_17819',identity) ).
fof(f3,axiom,
! [X0] : divide(identity,X0) = inverse(X0),
file('/export/starexec/sandbox2/tmp/tmp.TeGrnxZeie/Vampire---4.8_17819',inverse) ).
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.TeGrnxZeie/Vampire---4.8_17819',multiply) ).
fof(f230,plain,
! [X0] : multiply(identity,X0) = divide(multiply(identity,X0),identity),
inference(backward_demodulation,[],[f175,f229]) ).
fof(f229,plain,
! [X0] : multiply(identity,X0) = multiply(identity,divide(X0,identity)),
inference(forward_demodulation,[],[f228,f12]) ).
fof(f228,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(X0,identity)),
inference(forward_demodulation,[],[f218,f6]) ).
fof(f218,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = divide(identity,inverse(X0)),
inference(superposition,[],[f207,f138]) ).
fof(f207,plain,
! [X0] : divide(identity,inverse(divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f191,f10]) ).
fof(f191,plain,
! [X0] : divide(inverse(identity),inverse(divide(X0,identity))) = X0,
inference(superposition,[],[f120,f4]) ).
fof(f120,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(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.TeGrnxZeie/Vampire---4.8_17819',single_axiom) ).
fof(f138,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[],[f137,f6]) ).
fof(f137,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,inverse(X1))),X1) = X0,
inference(forward_demodulation,[],[f136,f3]) ).
fof(f136,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[],[f135,f14]) ).
fof(f14,plain,
! [X3] : inverse(inverse(X3)) = multiply(identity,X3),
inference(superposition,[],[f6,f3]) ).
fof(f135,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1) = X0,
inference(forward_demodulation,[],[f116,f3]) ).
fof(f116,plain,
! [X0,X1] : divide(inverse(divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f9,f10]) ).
fof(f599,plain,
! [X2,X3,X4] : multiply(multiply(divide(X3,multiply(X2,X4)),X2),X4) = X3,
inference(forward_demodulation,[],[f576,f6]) ).
fof(f576,plain,
! [X2,X3,X4] : multiply(divide(divide(X3,multiply(X2,X4)),inverse(X2)),X4) = X3,
inference(superposition,[],[f488,f235]) ).
fof(f235,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(backward_demodulation,[],[f14,f234]) ).
fof(f488,plain,
! [X10,X11,X9] : multiply(divide(divide(X10,multiply(inverse(X9),X11)),X9),X11) = X10,
inference(backward_demodulation,[],[f147,f476]) ).
fof(f476,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f267,f341]) ).
fof(f341,plain,
! [X2,X3] : multiply(inverse(divide(X2,X3)),X2) = X3,
inference(backward_demodulation,[],[f199,f265]) ).
fof(f265,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f233,f234]) ).
fof(f199,plain,
! [X2,X3] : multiply(inverse(divide(X2,divide(X3,identity))),X2) = X3,
inference(superposition,[],[f120,f6]) ).
fof(f147,plain,
! [X10,X11,X9] : multiply(inverse(divide(X9,divide(X10,multiply(inverse(X9),X11)))),X11) = X10,
inference(forward_demodulation,[],[f131,f6]) ).
fof(f131,plain,
! [X10,X11,X9] : multiply(inverse(divide(X9,divide(X10,divide(inverse(X9),inverse(X11))))),X11) = X10,
inference(superposition,[],[f9,f6]) ).
fof(f271,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f18,f234]) ).
fof(f18,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f17]) ).
fof(f17,plain,
( identity != identity
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f13,plain,
! [X2] : identity = multiply(inverse(X2),X2),
inference(superposition,[],[f6,f4]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/tmp/tmp.TeGrnxZeie/Vampire---4.8_17819',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 30 17:28:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.18/0.41 % (17925)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (17930)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)
% 0.18/0.41 % (17929)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41 % (17928)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)
% 0.18/0.41 % (17927)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41 % (17931)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)
% 0.18/0.41 % (17932)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)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 % (17926)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.41 TRYING [2]
% 0.18/0.42 TRYING [3]
% 0.18/0.42 TRYING [1]
% 0.18/0.42 TRYING [2]
% 0.18/0.42 TRYING [4]
% 0.18/0.42 TRYING [3]
% 0.18/0.43 TRYING [5]
% 0.18/0.45 TRYING [4]
% 0.18/0.45 % (17931)First to succeed.
% 0.18/0.46 % (17931)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.46 % (17931)------------------------------
% 0.18/0.46 % (17931)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.46 % (17931)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.46 % (17931)Termination reason: Refutation
% 0.18/0.46
% 0.18/0.46 % (17931)Memory used [KB]: 2430
% 0.18/0.46 % (17931)Time elapsed: 0.044 s
% 0.18/0.46 % (17931)------------------------------
% 0.18/0.46 % (17931)------------------------------
% 0.18/0.46 % (17925)Success in time 0.105 s
% 0.18/0.46 17928 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.TeGrnxZeie/Vampire---4.8_17819
% 0.18/0.46 % (17928)------------------------------
% 0.18/0.46 % (17928)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.46 % (17928)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.46 % (17928)Termination reason: Unknown
% 0.18/0.46 % (17928)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (17928)Memory used [KB]: 5373
% 0.18/0.46 % (17928)Time elapsed: 0.046 s
% 0.18/0.46 % (17928)------------------------------
% 0.18/0.46 % (17928)------------------------------
% 0.18/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------