TSTP Solution File: GRP067-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---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 : n024.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 : Thu Aug 31 01:21:04 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 48 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 14 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 88 (; 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f697,plain,
$false,
inference(trivial_inequality_removal,[],[f694]) ).
fof(f694,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[],[f175,f693]) ).
fof(f693,plain,
! [X18,X16,X17] : multiply(X18,multiply(X16,X17)) = multiply(multiply(X18,X16),X17),
inference(forward_demodulation,[],[f671,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : divide(identity,X0) = inverse(X0),
file('/export/starexec/sandbox2/tmp/tmp.GCIh1EDLsF/Vampire---4.8_17300',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/tmp/tmp.GCIh1EDLsF/Vampire---4.8_17300',multiply) ).
fof(f671,plain,
! [X18,X16,X17] : multiply(X18,multiply(X16,X17)) = multiply(divide(X18,inverse(X16)),X17),
inference(superposition,[],[f468,f194]) ).
fof(f194,plain,
! [X3,X4] : multiply(inverse(X3),multiply(X3,X4)) = X4,
inference(forward_demodulation,[],[f193,f150]) ).
fof(f150,plain,
! [X2] : divide(X2,identity) = X2,
inference(backward_demodulation,[],[f76,f146]) ).
fof(f146,plain,
! [X0] : inverse(inverse(divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f145,f14]) ).
fof(f14,plain,
! [X3] : inverse(inverse(X3)) = multiply(identity,X3),
inference(superposition,[],[f6,f3]) ).
fof(f145,plain,
! [X0] : multiply(identity,divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f124,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.GCIh1EDLsF/Vampire---4.8_17300',identity) ).
fof(f124,plain,
! [X0] : multiply(inverse(identity),divide(X0,identity)) = X0,
inference(superposition,[],[f43,f4]) ).
fof(f43,plain,
! [X0,X1] : multiply(inverse(divide(X0,divide(X1,identity))),X0) = X1,
inference(forward_demodulation,[],[f31,f6]) ).
fof(f31,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.GCIh1EDLsF/Vampire---4.8_17300',single_axiom) ).
fof(f76,plain,
! [X2] : inverse(inverse(divide(divide(X2,identity),identity))) = X2,
inference(backward_demodulation,[],[f53,f69]) ).
fof(f69,plain,
! [X0] : inverse(inverse(divide(X0,identity))) = divide(inverse(inverse(X0)),identity),
inference(superposition,[],[f53,f53]) ).
fof(f53,plain,
! [X2] : divide(inverse(inverse(divide(X2,identity))),identity) = X2,
inference(superposition,[],[f42,f12]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f6,f10]) ).
fof(f42,plain,
! [X0,X1] : divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(forward_demodulation,[],[f41,f6]) ).
fof(f41,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(forward_demodulation,[],[f40,f3]) ).
fof(f40,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1) = X0,
inference(forward_demodulation,[],[f30,f3]) ).
fof(f30,plain,
! [X0,X1] : divide(inverse(divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f9,f10]) ).
fof(f193,plain,
! [X3,X4] : multiply(inverse(X3),multiply(X3,divide(X4,identity))) = X4,
inference(forward_demodulation,[],[f192,f6]) ).
fof(f192,plain,
! [X3,X4] : divide(inverse(X3),inverse(multiply(X3,divide(X4,identity)))) = X4,
inference(forward_demodulation,[],[f127,f161]) ).
fof(f161,plain,
! [X6,X7] : divide(X7,X6) = multiply(X7,inverse(X6)),
inference(forward_demodulation,[],[f154,f150]) ).
fof(f154,plain,
! [X6,X7] : divide(X7,X6) = multiply(X7,inverse(divide(X6,identity))),
inference(backward_demodulation,[],[f103,f150]) ).
fof(f103,plain,
! [X6,X7] : multiply(X7,inverse(divide(divide(X6,identity),identity))) = divide(X7,X6),
inference(superposition,[],[f6,f76]) ).
fof(f127,plain,
! [X3,X4] : multiply(inverse(X3),inverse(inverse(multiply(X3,divide(X4,identity))))) = X4,
inference(superposition,[],[f43,f42]) ).
fof(f468,plain,
! [X10,X11,X12] : multiply(divide(X10,X11),multiply(X11,X12)) = multiply(X10,X12),
inference(forward_demodulation,[],[f444,f442]) ).
fof(f442,plain,
! [X6,X4,X5] : multiply(X4,X5) = divide(multiply(X4,multiply(X5,X6)),X6),
inference(superposition,[],[f217,f172]) ).
fof(f172,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[],[f42,f156]) ).
fof(f156,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f146,f150]) ).
fof(f217,plain,
! [X2,X0,X1] : divide(multiply(divide(X2,X0),multiply(X0,X1)),X1) = X2,
inference(forward_demodulation,[],[f209,f6]) ).
fof(f209,plain,
! [X2,X0,X1] : divide(divide(divide(X2,X0),inverse(multiply(X0,X1))),X1) = X2,
inference(backward_demodulation,[],[f55,f204]) ).
fof(f204,plain,
! [X2,X1] : divide(X2,X1) = inverse(divide(X1,X2)),
inference(forward_demodulation,[],[f203,f150]) ).
fof(f203,plain,
! [X2,X1] : divide(X2,X1) = inverse(divide(X1,divide(X2,identity))),
inference(forward_demodulation,[],[f131,f156]) ).
fof(f131,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,identity))) = divide(inverse(inverse(X2)),X1),
inference(superposition,[],[f42,f43]) ).
fof(f55,plain,
! [X2,X0,X1] : divide(inverse(divide(inverse(multiply(X0,X1)),divide(X2,X0))),X1) = X2,
inference(superposition,[],[f9,f42]) ).
fof(f444,plain,
! [X10,X11,X12,X13] : multiply(divide(X10,X11),multiply(X11,X12)) = divide(multiply(X10,multiply(X12,X13)),X13),
inference(superposition,[],[f217,f217]) ).
fof(f175,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f174]) ).
fof(f174,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f19,f156]) ).
fof(f19,plain,
( a2 != inverse(inverse(a2))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f18,f14]) ).
fof(f18,plain,
( a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
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.GCIh1EDLsF/Vampire---4.8_17300',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n024.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 : Mon Aug 28 23:50:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GCIh1EDLsF/Vampire---4.8_17300
% 0.21/0.36 % (17469)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (17478)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.41 % (17473)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.41 % (17475)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42 % (17475)Refutation not found, incomplete strategy% (17475)------------------------------
% 0.21/0.42 % (17475)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (17475)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (17475)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (17475)Memory used [KB]: 895
% 0.21/0.42 % (17475)Time elapsed: 0.003 s
% 0.21/0.42 % (17475)------------------------------
% 0.21/0.42 % (17475)------------------------------
% 0.21/0.42 % (17477)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (17470)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.43 % (17472)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.43 % (17473)First to succeed.
% 0.21/0.43 % (17473)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (17473)------------------------------
% 0.21/0.43 % (17473)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (17473)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (17473)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (17473)Memory used [KB]: 1279
% 0.21/0.43 % (17473)Time elapsed: 0.017 s
% 0.21/0.43 % (17473)------------------------------
% 0.21/0.43 % (17473)------------------------------
% 0.21/0.43 % (17469)Success in time 0.074 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------