TSTP Solution File: GRP031-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 01:20:37 EDT 2023
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(resolution,[],[f154,f7]) ).
fof(f7,axiom,
! [X6] : ~ product(a,X6,identity),
file('/export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802',prove_a_has_an_inverse) ).
fof(f154,plain,
! [X2] : product(X2,inverse(X2),identity),
inference(superposition,[],[f1,f135]) ).
fof(f135,plain,
! [X3] : identity = multiply(X3,inverse(X3)),
inference(resolution,[],[f110,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| identity = X1 ),
inference(resolution,[],[f47,f6]) ).
fof(f6,axiom,
! [X6] : product(inverse(X6),X6,identity),
file('/export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802',left_inverse) ).
fof(f47,plain,
! [X3,X6,X4,X5] :
( ~ product(inverse(X3),X5,X6)
| ~ product(X3,X4,X5)
| X4 = X6 ),
inference(resolution,[],[f36,f6]) ).
fof(f36,plain,
! [X31,X28,X29,X27,X30] :
( ~ product(X27,X30,identity)
| ~ product(X30,X31,X28)
| ~ product(X27,X28,X29)
| X29 = X31 ),
inference(resolution,[],[f4,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ~ product(identity,X1,X0)
| X0 = X1 ),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
! [X6] : product(identity,X6,X6),
file('/export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802',left_identity) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802',total_function2) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X4,X2,X3)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802',associativity2) ).
fof(f110,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(superposition,[],[f1,f64]) ).
fof(f64,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(resolution,[],[f56,f1]) ).
fof(f56,plain,
! [X2,X3,X4] :
( ~ product(X2,X3,X4)
| multiply(inverse(X2),X4) = X3 ),
inference(resolution,[],[f47,f1]) ).
fof(f1,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802',total_function1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:19:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.13/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.EPTYcSf2Gl/Vampire---4.8_802
% 0.13/0.34 % (916)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (919)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)
% 0.19/0.40 % (920)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)
% 0.19/0.41 % (917)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)
% 0.19/0.41 % (922)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)
% 0.19/0.41 % (920)First to succeed.
% 0.19/0.41 % (919)Also succeeded, but the first one will report.
% 0.19/0.41 % (920)Refutation found. Thanks to Tanya!
% 0.19/0.41 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.41 % (920)------------------------------
% 0.19/0.41 % (920)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.41 % (920)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.41 % (920)Termination reason: Refutation
% 0.19/0.41
% 0.19/0.41 % (920)Memory used [KB]: 1023
% 0.19/0.41 % (920)Time elapsed: 0.008 s
% 0.19/0.41 % (920)------------------------------
% 0.19/0.41 % (920)------------------------------
% 0.19/0.41 % (916)Success in time 0.067 s
% 0.19/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------