TSTP Solution File: GRP430-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP430-1 : 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 : n009.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 : Sun May 5 06:08:50 EDT 2024
% Result : Unsatisfiable 1.45s 0.61s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 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 : 11 ( 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 : 153 ( 153 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9103,plain,
$false,
inference(subsumption_resolution,[],[f8686,f5017]) ).
fof(f5017,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f4767,f4466]) ).
fof(f4466,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f3494,f4439]) ).
fof(f4439,plain,
! [X1] : inverse(inverse(inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f4349,f4437]) ).
fof(f4437,plain,
! [X2,X1] : multiply(X1,inverse(inverse(inverse(multiply(X2,inverse(X2)))))) = X1,
inference(forward_demodulation,[],[f4343,f2976]) ).
fof(f2976,plain,
! [X2,X3] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = X3,
inference(superposition,[],[f2565,f2706]) ).
fof(f2706,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1))),
inference(superposition,[],[f2565,f920]) ).
fof(f920,plain,
! [X2,X3] : multiply(X2,inverse(X2)) = multiply(X3,inverse(X3)),
inference(superposition,[],[f861,f861]) ).
fof(f861,plain,
! [X3,X1,X4] : multiply(X1,inverse(X1)) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f32,f807]) ).
fof(f807,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(X3,inverse(multiply(multiply(multiply(X2,inverse(X2)),multiply(X0,inverse(X0))),multiply(X1,X3)))),
inference(superposition,[],[f1,f636]) ).
fof(f636,plain,
! [X2,X3,X1] : multiply(X3,inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X3)))) = X1,
inference(superposition,[],[f502,f204]) ).
fof(f204,plain,
! [X2,X0,X1] : multiply(inverse(X1),inverse(multiply(inverse(X0),multiply(multiply(X2,inverse(X2)),inverse(X1))))) = X0,
inference(superposition,[],[f1,f101]) ).
fof(f101,plain,
! [X3,X4,X5] : multiply(multiply(X5,inverse(X5)),inverse(X3)) = multiply(multiply(X4,inverse(X4)),inverse(X3)),
inference(superposition,[],[f76,f1]) ).
fof(f76,plain,
! [X2,X3,X1,X5] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X3))),
inference(superposition,[],[f32,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(X0,inverse(X0))),multiply(X3,X4)))) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f502,plain,
! [X2,X1,X4,X5] : multiply(X4,inverse(multiply(X1,multiply(X2,X4)))) = multiply(X5,inverse(multiply(X1,multiply(X2,X5)))),
inference(superposition,[],[f53,f53]) ).
fof(f53,plain,
! [X2,X3,X1,X4,X5] : multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X1,multiply(X2,inverse(X2)))))) = multiply(X5,inverse(multiply(X4,multiply(X1,X5)))),
inference(superposition,[],[f31,f1]) ).
fof(f31,plain,
! [X2,X1,X6,X4,X5] : multiply(X6,inverse(multiply(multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4)))),multiply(X1,X6)))) = X2,
inference(superposition,[],[f4,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(X0,inverse(X0))) = multiply(X4,inverse(multiply(multiply(X3,multiply(X5,inverse(X5))),multiply(X1,X4)))),
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f32,plain,
! [X2,X3,X1,X4,X5] : multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4))))))) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f2565,plain,
! [X3,X1,X4] : multiply(X1,inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),multiply(X4,inverse(X4))))) = X1,
inference(superposition,[],[f1563,f1595]) ).
fof(f1595,plain,
! [X2,X3,X1] : inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(superposition,[],[f1490,f1]) ).
fof(f1490,plain,
! [X2,X3,X1] : inverse(X1) = multiply(X3,inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X1,X3)))),
inference(superposition,[],[f1,f1444]) ).
fof(f1444,plain,
! [X3,X1,X4] : multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(X4),inverse(inverse(multiply(X1,inverse(X1))))))) = X4,
inference(forward_demodulation,[],[f1384,f849]) ).
fof(f849,plain,
! [X3,X1,X4,X5] : inverse(X3) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X1,inverse(X1)),X3))),multiply(X5,inverse(X5))),
inference(superposition,[],[f807,f8]) ).
fof(f1384,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(X4),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))),multiply(X5,inverse(X5)))))) = X4,
inference(superposition,[],[f538,f172]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,inverse(X3)),inverse(X2)) = multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),inverse(X2)),
inference(superposition,[],[f101,f76]) ).
fof(f538,plain,
! [X2,X3,X1,X4] : multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),multiply(X4,inverse(X4)))))) = X1,
inference(superposition,[],[f53,f204]) ).
fof(f1563,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X1,inverse(X1))))),
inference(superposition,[],[f1490,f920]) ).
fof(f4343,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(inverse(multiply(X2,inverse(X2)))),inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f2565,f4042]) ).
fof(f4042,plain,
! [X2,X0] : multiply(inverse(inverse(multiply(X0,inverse(X0)))),inverse(inverse(X2))) = X2,
inference(forward_demodulation,[],[f3953,f2976]) ).
fof(f3953,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,inverse(X0)))),inverse(multiply(inverse(X2),inverse(multiply(X1,inverse(X1)))))) = X2,
inference(superposition,[],[f3216,f3379]) ).
fof(f3379,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(inverse(inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f3217,f920]) ).
fof(f3217,plain,
! [X2,X0] : multiply(multiply(X2,inverse(X2)),X0) = inverse(inverse(X0)),
inference(superposition,[],[f1444,f3056]) ).
fof(f3056,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(multiply(X1,inverse(X1)))))) = X0,
inference(superposition,[],[f2976,f1485]) ).
fof(f1485,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X1),inverse(inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(X3),X1))) = X3,
inference(superposition,[],[f120,f1444]) ).
fof(f120,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(X0),multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2)))))) = X0,
inference(superposition,[],[f1,f76]) ).
fof(f3216,plain,
! [X2,X0] : multiply(X0,inverse(multiply(inverse(X2),inverse(inverse(X0))))) = X2,
inference(superposition,[],[f1485,f3056]) ).
fof(f4349,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X1))),inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = X1,
inference(superposition,[],[f3056,f4042]) ).
fof(f3494,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = X1,
inference(superposition,[],[f2976,f3217]) ).
fof(f4767,plain,
! [X3,X1] : multiply(inverse(X1),multiply(X1,X3)) = X3,
inference(forward_demodulation,[],[f4766,f4466]) ).
fof(f4766,plain,
! [X2,X3,X1] : multiply(inverse(X1),multiply(multiply(X1,multiply(X2,inverse(X2))),X3)) = X3,
inference(forward_demodulation,[],[f4765,f4439]) ).
fof(f4765,plain,
! [X2,X3,X1] : multiply(inverse(X1),inverse(inverse(inverse(inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),X3)))))) = X3,
inference(forward_demodulation,[],[f4691,f4403]) ).
fof(f4403,plain,
! [X2,X3,X4] : multiply(X4,inverse(multiply(X2,multiply(X3,X4)))) = inverse(inverse(inverse(multiply(X2,X3)))),
inference(forward_demodulation,[],[f4402,f3217]) ).
fof(f4402,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))) = multiply(X4,inverse(multiply(X2,multiply(X3,X4)))),
inference(forward_demodulation,[],[f4301,f2976]) ).
fof(f4301,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(X2,multiply(X3,X4)))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(multiply(X0,inverse(X0))))))),
inference(superposition,[],[f53,f4042]) ).
fof(f4691,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))))) = X3,
inference(superposition,[],[f31,f4466]) ).
fof(f8686,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f5017]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP430-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:52:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (31685)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (31688)WARNING: value z3 for option sas not known
% 0.14/0.38 % (31688)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)
% 0.14/0.38 % (31689)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (31692)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)
% 0.14/0.38 % (31691)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)
% 0.14/0.38 % (31690)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)
% 0.14/0.38 % (31687)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (31686)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.42 TRYING [4]
% 1.45/0.61 % (31692)First to succeed.
% 1.45/0.61 % (31692)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31685"
% 1.45/0.61 % (31692)Refutation found. Thanks to Tanya!
% 1.45/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.61 % (31692)------------------------------
% 1.45/0.61 % (31692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.45/0.61 % (31692)Termination reason: Refutation
% 1.45/0.61
% 1.45/0.61 % (31692)Memory used [KB]: 4468
% 1.45/0.61 % (31692)Time elapsed: 0.232 s
% 1.45/0.61 % (31692)Instructions burned: 483 (million)
% 1.45/0.61 % (31685)Success in time 0.243 s
%------------------------------------------------------------------------------