TSTP Solution File: GRP421-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP421-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 12:06:37 EDT 2024
% Result : Unsatisfiable 2.16s 0.67s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 12 ( 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1461,plain,
$false,
inference(equality_resolution,[],[f1409]) ).
fof(f1409,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(inverse(X0),X0),
inference(superposition,[],[f2,f1329]) ).
fof(f1329,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f1124,f1124]) ).
fof(f1124,plain,
! [X0,X4,X5] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X4,X5)),multiply(X4,X5)),
inference(forward_demodulation,[],[f1072,f1026]) ).
fof(f1026,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,X4))))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X1,
inference(superposition,[],[f17,f728]) ).
fof(f728,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(X3,multiply(X0,X2))),multiply(X3,multiply(X0,X2)))),
inference(superposition,[],[f24,f650]) ).
fof(f650,plain,
! [X3,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)) = X1,
inference(forward_demodulation,[],[f555,f17]) ).
fof(f555,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[],[f3,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))) = inverse(multiply(inverse(multiply(X4,multiply(X0,X2))),multiply(X4,X3))),
inference(superposition,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(superposition,[],[f5,f5]) ).
fof(f17,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f1072,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)),
inference(superposition,[],[f650,f728]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP421-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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 : Tue Apr 30 04:54:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (1382)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1385)WARNING: value z3 for option sas not known
% 0.14/0.37 % (1383)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (1386)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (1384)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (1387)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 theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (1385)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 theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (1388)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 theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (1389)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 theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.20/0.43 TRYING [4]
% 2.16/0.67 % (1388)First to succeed.
% 2.16/0.67 % (1388)Refutation found. Thanks to Tanya!
% 2.16/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.16/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.67 % (1388)------------------------------
% 2.16/0.67 % (1388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.16/0.67 % (1388)Termination reason: Refutation
% 2.16/0.67
% 2.16/0.67 % (1388)Memory used [KB]: 3969
% 2.16/0.67 % (1388)Time elapsed: 0.299 s
% 2.16/0.67 % (1388)Instructions burned: 517 (million)
% 2.16/0.67 % (1388)------------------------------
% 2.16/0.67 % (1388)------------------------------
% 2.16/0.67 % (1382)Success in time 0.305 s
%------------------------------------------------------------------------------