TSTP Solution File: GRP406-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP406-1 : 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 : n026.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 15:54:49 EDT 2023
% Result : Unsatisfiable 2.90s 0.87s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 (; 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9036,plain,
$false,
inference(unit_resulting_resolution,[],[f2,f8609]) ).
fof(f8609,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f8322,f8102]) ).
fof(f8102,plain,
! [X152,X153,X151] : multiply(inverse(multiply(inverse(multiply(X151,X152)),multiply(X151,inverse(X153)))),multiply(inverse(X152),multiply(inverse(X152),X152))) = X153,
inference(superposition,[],[f147,f93]) ).
fof(f93,plain,
! [X21,X19,X20] : multiply(inverse(X20),multiply(inverse(X20),X20)) = multiply(inverse(multiply(X19,X20)),inverse(multiply(X21,multiply(inverse(multiply(X19,X21)),multiply(inverse(multiply(X19,X21)),multiply(X19,X21)))))),
inference(superposition,[],[f1,f53]) ).
fof(f53,plain,
! [X10,X11,X9] : inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X9,X11))),multiply(inverse(X10),multiply(inverse(X10),X10)))) = X11,
inference(superposition,[],[f20,f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.XN3tByHgFw/Vampire---4.8_14972',single_axiom) ).
fof(f147,plain,
! [X36,X37,X34,X35,X33] : multiply(inverse(multiply(X36,multiply(X33,X34))),multiply(X36,inverse(multiply(inverse(X37),multiply(inverse(multiply(X33,X34)),multiply(inverse(multiply(X35,X34)),multiply(X35,X34))))))) = X37,
inference(superposition,[],[f22,f95]) ).
fof(f95,plain,
! [X28,X26,X27,X25] : multiply(inverse(multiply(X25,X26)),multiply(X25,X27)) = multiply(inverse(multiply(X28,X26)),multiply(X28,X27)),
inference(superposition,[],[f22,f53]) ).
fof(f22,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f8322,plain,
! [X145,X143,X146,X144] : multiply(inverse(X144),X144) = multiply(X145,multiply(inverse(multiply(inverse(multiply(X146,X143)),multiply(X146,X145))),multiply(inverse(X143),multiply(inverse(X143),X143)))),
inference(superposition,[],[f1588,f8102]) ).
fof(f1588,plain,
! [X21,X24,X22,X25,X23,X20] : multiply(X22,multiply(inverse(multiply(inverse(multiply(X20,X21)),multiply(X20,X22))),X23)) = multiply(X24,multiply(inverse(multiply(inverse(multiply(X25,X21)),multiply(X25,X24))),X23)),
inference(superposition,[],[f115,f53]) ).
fof(f115,plain,
! [X16,X14,X15,X12,X13] : multiply(inverse(multiply(X16,multiply(inverse(X13),multiply(inverse(X13),X13)))),multiply(X16,X15)) = multiply(X14,multiply(inverse(multiply(inverse(multiply(X12,X13)),multiply(X12,X14))),X15)),
inference(superposition,[],[f95,f53]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/tmp/tmp.XN3tByHgFw/Vampire---4.8_14972',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP406-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Wed Aug 30 17:45:52 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.42 % (15233)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (15244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (15245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (15246)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)
% 0.22/0.42 % (15247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (15248)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)
% 0.22/0.42 % (15249)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 % (15250)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 [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.48 TRYING [4]
% 2.22/0.81 TRYING [5]
% 2.90/0.87 % (15250)First to succeed.
% 2.90/0.87 % (15250)Refutation found. Thanks to Tanya!
% 2.90/0.87 % SZS status Unsatisfiable for Vampire---4
% 2.90/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 2.90/0.87 % (15250)------------------------------
% 2.90/0.87 % (15250)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.90/0.87 % (15250)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.90/0.87 % (15250)Termination reason: Refutation
% 2.90/0.87
% 2.90/0.87 % (15250)Memory used [KB]: 23411
% 2.90/0.87 % (15250)Time elapsed: 0.443 s
% 2.90/0.87 % (15250)------------------------------
% 2.90/0.87 % (15250)------------------------------
% 2.90/0.87 % (15233)Success in time 0.492 s
% 2.90/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------