TSTP Solution File: GRP086-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n022.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 01:21:20 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of formulae : 39 ( 29 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 31 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f414,plain,
$false,
inference(trivial_inequality_removal,[],[f413]) ).
fof(f413,plain,
multiply(b3,multiply(a3,c3)) != multiply(b3,multiply(a3,c3)),
inference(forward_demodulation,[],[f412,f210]) ).
fof(f210,plain,
! [X2,X0] : multiply(X0,X2) = multiply(X2,X0),
inference(forward_demodulation,[],[f180,f86]) ).
fof(f86,plain,
! [X46,X47,X45] : multiply(X45,multiply(X46,inverse(multiply(X46,inverse(X47))))) = multiply(X47,X45),
inference(superposition,[],[f12,f43]) ).
fof(f43,plain,
! [X18,X19,X20] : multiply(multiply(X20,multiply(X19,inverse(multiply(X19,X18)))),X18) = X20,
inference(forward_demodulation,[],[f39,f36]) ).
fof(f36,plain,
! [X2,X3,X4] : multiply(X4,X3) = multiply(multiply(X2,X3),multiply(X4,inverse(X2))),
inference(superposition,[],[f3,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f12]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/tmp/tmp.UnryL3edSd/Vampire---4.8_19460',single_axiom) ).
fof(f39,plain,
! [X18,X19,X17,X20] : multiply(multiply(X17,X18),multiply(multiply(X20,multiply(X19,inverse(multiply(X19,X18)))),inverse(X17))) = X20,
inference(superposition,[],[f1,f21]) ).
fof(f12,plain,
! [X2,X3] : multiply(X2,multiply(X3,inverse(X2))) = X3,
inference(superposition,[],[f3,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f180,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(X2,multiply(X1,inverse(multiply(X1,inverse(X0))))),
inference(superposition,[],[f61,f43]) ).
fof(f61,plain,
! [X28,X26,X27] : multiply(X26,X27) = multiply(X26,multiply(multiply(X28,X27),inverse(X28))),
inference(forward_demodulation,[],[f55,f57]) ).
fof(f57,plain,
! [X8,X7,X4,X5] : multiply(X7,multiply(X8,inverse(X4))) = multiply(X8,multiply(X5,inverse(multiply(X5,multiply(X4,inverse(X7)))))),
inference(forward_demodulation,[],[f45,f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = multiply(X1,multiply(X3,inverse(X0))),
inference(superposition,[],[f36,f1]) ).
fof(f45,plain,
! [X8,X6,X7,X4,X5] : multiply(X8,multiply(X5,inverse(multiply(X4,multiply(multiply(X5,X6),inverse(multiply(X7,X6))))))) = multiply(X7,multiply(X8,inverse(X4))),
inference(superposition,[],[f36,f3]) ).
fof(f55,plain,
! [X28,X29,X26,X27] : multiply(X26,X27) = multiply(multiply(X28,X27),multiply(X29,inverse(multiply(X29,multiply(X28,inverse(X26)))))),
inference(superposition,[],[f21,f36]) ).
fof(f412,plain,
multiply(b3,multiply(a3,c3)) != multiply(b3,multiply(c3,a3)),
inference(forward_demodulation,[],[f411,f314]) ).
fof(f314,plain,
! [X31,X29,X30] : multiply(X29,multiply(X30,X31)) = multiply(X31,multiply(X29,X30)),
inference(forward_demodulation,[],[f313,f242]) ).
fof(f242,plain,
! [X24,X25,X23] : multiply(multiply(X23,X25),X24) = multiply(X25,multiply(X23,X24)),
inference(superposition,[],[f210,f71]) ).
fof(f71,plain,
! [X10,X11,X12] : multiply(multiply(X10,X11),X12) = multiply(multiply(X10,X12),X11),
inference(superposition,[],[f43,f36]) ).
fof(f313,plain,
! [X31,X29,X30] : multiply(multiply(X29,X31),X30) = multiply(X29,multiply(X30,X31)),
inference(forward_demodulation,[],[f260,f242]) ).
fof(f260,plain,
! [X31,X29,X30] : multiply(multiply(X29,X31),X30) = multiply(multiply(X30,X29),X31),
inference(superposition,[],[f71,f210]) ).
fof(f411,plain,
multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)),
inference(forward_demodulation,[],[f410,f314]) ).
fof(f410,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(forward_demodulation,[],[f409,f314]) ).
fof(f409,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(b3,a3)),
inference(subsumption_resolution,[],[f219,f365]) ).
fof(f365,plain,
! [X11,X12] : multiply(X11,inverse(X11)) = multiply(X12,inverse(X12)),
inference(superposition,[],[f237,f9]) ).
fof(f237,plain,
! [X8,X7] : multiply(multiply(X8,inverse(X8)),X7) = X7,
inference(superposition,[],[f210,f9]) ).
fof(f219,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(b3,a3))
| multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)) ),
inference(forward_demodulation,[],[f218,f210]) ).
fof(f218,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3))
| multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)) ),
inference(forward_demodulation,[],[f217,f210]) ).
fof(f217,plain,
( multiply(b1,inverse(b1)) != multiply(a1,inverse(a1))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f216,f210]) ).
fof(f216,plain,
( multiply(inverse(a1),a1) != multiply(b1,inverse(b1))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f215,f210]) ).
fof(f215,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f214]) ).
fof(f214,plain,
( a2 != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f213,f9]) ).
fof(f213,plain,
( a2 != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f212,f210]) ).
fof(f212,plain,
( a2 != multiply(a2,multiply(inverse(b2),b2))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f211,f210]) ).
fof(f211,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f2,f210]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/tmp/tmp.UnryL3edSd/Vampire---4.8_19460',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n022.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 : Tue Aug 29 01:02:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.UnryL3edSd/Vampire---4.8_19460
% 0.15/0.36 % (19567)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (19573)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)
% 0.22/0.42 % (19571)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)
% 0.22/0.42 % (19572)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)
% 0.22/0.42 % (19568)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)
% 0.22/0.43 % (19574)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)
% 0.22/0.43 % (19570)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)
% 0.22/0.43 % (19572)Refutation not found, incomplete strategy% (19572)------------------------------
% 0.22/0.43 % (19572)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (19572)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (19572)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (19572)Memory used [KB]: 895
% 0.22/0.43 % (19572)Time elapsed: 0.003 s
% 0.22/0.43 % (19572)------------------------------
% 0.22/0.43 % (19572)------------------------------
% 0.22/0.43 % (19569)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.44 % (19573)First to succeed.
% 0.22/0.44 % (19573)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 % (19573)------------------------------
% 0.22/0.44 % (19573)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (19573)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (19573)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (19573)Memory used [KB]: 1279
% 0.22/0.44 % (19573)Time elapsed: 0.018 s
% 0.22/0.44 % (19573)------------------------------
% 0.22/0.44 % (19573)------------------------------
% 0.22/0.44 % (19567)Success in time 0.076 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------