TSTP Solution File: GRP433-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP433-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Mon May 20 21:30:42 EDT 2024
% Result : Unsatisfiable 1.44s 0.58s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 13 ( 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 : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2948,plain,
$false,
inference(equality_resolution,[],[f2911]) ).
fof(f2911,plain,
! [X0,X1] : multiply(X0,inverse(X0)) != multiply(X1,inverse(X1)),
inference(superposition,[],[f2904,f2257]) ).
fof(f2257,plain,
! [X2,X4] : multiply(X4,inverse(X4)) = multiply(inverse(X2),X2),
inference(backward_demodulation,[],[f1386,f2177]) ).
fof(f2177,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f2176,f1923]) ).
fof(f1923,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(backward_demodulation,[],[f1620,f1349]) ).
fof(f1349,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f1148,f895]) ).
fof(f895,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))))) = X1,
inference(superposition,[],[f648,f35]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(X1)),X2)),X0),inverse(X0)),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f15]) ).
fof(f15,plain,
! [X4,X5] : multiply(X4,inverse(X4)) = multiply(X5,inverse(X5)),
inference(superposition,[],[f3,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X2)),X0)),X1),multiply(X4,inverse(X4)))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f648,plain,
! [X2,X3,X1] : inverse(X2) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))),
inference(backward_demodulation,[],[f80,f644]) ).
fof(f644,plain,
! [X3,X0] : inverse(X3) = inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X3)),
inference(backward_demodulation,[],[f198,f619]) ).
fof(f619,plain,
! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),X1),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f374]) ).
fof(f374,plain,
! [X2,X3,X0] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X0),inverse(X0))),
inference(superposition,[],[f94,f137]) ).
fof(f137,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f15,f93]) ).
fof(f93,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f37,f35]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),X0),X1),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f15]) ).
fof(f94,plain,
! [X2,X0,X1,X4] : multiply(X4,inverse(X4)) = inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X0,inverse(X0))))),X1),X2)),
inference(superposition,[],[f37,f3]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X3)) = inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X4,inverse(X4)))),
inference(superposition,[],[f37,f137]) ).
fof(f80,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X2)) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f37,f15]) ).
fof(f1148,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f1090,f676]) ).
fof(f676,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1)),
inference(superposition,[],[f644,f644]) ).
fof(f1090,plain,
! [X2,X1] : inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),X2))))) = X2,
inference(superposition,[],[f895,f962]) ).
fof(f962,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),
inference(superposition,[],[f895,f648]) ).
fof(f1620,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2))) = X1,
inference(forward_demodulation,[],[f1333,f1148]) ).
fof(f1333,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2))) = inverse(inverse(inverse(inverse(X1)))),
inference(superposition,[],[f1148,f648]) ).
fof(f2176,plain,
! [X3,X1] : inverse(multiply(inverse(X3),multiply(X1,inverse(X1)))) = X3,
inference(forward_demodulation,[],[f2083,f1923]) ).
fof(f2083,plain,
! [X3,X1,X4] : inverse(multiply(multiply(inverse(X3),multiply(X1,inverse(X1))),multiply(X4,inverse(X4)))) = X3,
inference(backward_demodulation,[],[f1831,f1923]) ).
fof(f1831,plain,
! [X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X3),multiply(X0,inverse(X0))),multiply(X1,inverse(X1))),multiply(X4,inverse(X4)))) = X3,
inference(backward_demodulation,[],[f1193,f1809]) ).
fof(f1809,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(multiply(X2,inverse(X2)),X3)),
inference(forward_demodulation,[],[f1808,f1148]) ).
fof(f1808,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))),X3)),
inference(forward_demodulation,[],[f1806,f1345]) ).
fof(f1345,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = inverse(inverse(X1)),
inference(superposition,[],[f1148,f895]) ).
fof(f1806,plain,
! [X2,X3,X1] : inverse(X3) = inverse(multiply(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))))),X3)),
inference(backward_demodulation,[],[f661,f1345]) ).
fof(f661,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))))))),X3)),
inference(superposition,[],[f644,f112]) ).
fof(f112,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))),
inference(superposition,[],[f93,f93]) ).
fof(f1193,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(X0,inverse(X0))),multiply(X1,inverse(X1))),multiply(X4,inverse(X4)))) = X3,
inference(backward_demodulation,[],[f799,f1148]) ).
fof(f799,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(X0,inverse(X0))),inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),multiply(X4,inverse(X4)))) = X3,
inference(superposition,[],[f35,f680]) ).
fof(f680,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f644,f15]) ).
fof(f1386,plain,
! [X2,X4] : multiply(X4,inverse(X4)) = multiply(inverse(inverse(inverse(X2))),X2),
inference(backward_demodulation,[],[f21,f1328]) ).
fof(f1328,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3))) = inverse(inverse(inverse(X2))),
inference(superposition,[],[f1148,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(X4)) = multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3))),X2),
inference(superposition,[],[f15,f1]) ).
fof(f2904,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f2257]) ).
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 : GRP433-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.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 : Sun May 19 04:46:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (16008)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16011)WARNING: value z3 for option sas not known
% 0.14/0.37 % (16009)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (16012)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (16014)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 % (16011)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 % (16013)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 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (16015)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 [3]
% 0.14/0.37 % (16010)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 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.20/0.42 TRYING [4]
% 1.44/0.57 TRYING [5]
% 1.44/0.58 % (16014)First to succeed.
% 1.44/0.58 % (16014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16008"
% 1.44/0.58 % (16014)Refutation found. Thanks to Tanya!
% 1.44/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.58 % (16014)------------------------------
% 1.44/0.58 % (16014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.44/0.58 % (16014)Termination reason: Refutation
% 1.44/0.58
% 1.44/0.58 % (16014)Memory used [KB]: 2702
% 1.44/0.58 % (16014)Time elapsed: 0.210 s
% 1.44/0.58 % (16014)Instructions burned: 532 (million)
% 1.44/0.58 % (16008)Success in time 0.209 s
%------------------------------------------------------------------------------