TSTP Solution File: GRP515-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP515-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 07:18:23 EDT 2024
% Result : Unsatisfiable 0.25s 0.49s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f510,plain,
$false,
inference(subsumption_resolution,[],[f509,f507]) ).
fof(f507,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f491,f417]) ).
fof(f417,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f389,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
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(f389,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(backward_demodulation,[],[f363,f352]) ).
fof(f352,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f296,f332]) ).
fof(f332,plain,
! [X2,X3,X0] : multiply(multiply(X0,X2),multiply(X3,inverse(multiply(X3,X0)))) = X2,
inference(forward_demodulation,[],[f321,f305]) ).
fof(f305,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,inverse(multiply(X1,inverse(X0))))) = multiply(X2,X0),
inference(superposition,[],[f90,f296]) ).
fof(f90,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(X0,multiply(multiply(X2,X1),inverse(X2))),
inference(superposition,[],[f4,f23]) ).
fof(f23,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X1))) = X0,
inference(superposition,[],[f4,f9]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f321,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,inverse(X2))))),multiply(X3,inverse(multiply(X3,X0)))) = X2,
inference(superposition,[],[f165,f296]) ).
fof(f165,plain,
! [X3,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X0,inverse(X3)))))) = X3,
inference(backward_demodulation,[],[f87,f107]) ).
fof(f107,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = multiply(X3,multiply(X1,inverse(X0))),
inference(superposition,[],[f90,f1]) ).
fof(f87,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(X1,multiply(multiply(X0,X2),inverse(multiply(X3,X2))))))) = X3,
inference(superposition,[],[f7,f23]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X4,inverse(multiply(X3,multiply(multiply(X4,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1)))))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f296,plain,
! [X2,X3,X1] : multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X1)))),X1) = X3,
inference(forward_demodulation,[],[f290,f90]) ).
fof(f290,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X1)))),multiply(multiply(X0,X1),inverse(X0))) = X3,
inference(superposition,[],[f91,f91]) ).
fof(f91,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f23]) ).
fof(f363,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(backward_demodulation,[],[f91,f338]) ).
fof(f338,plain,
! [X2,X0,X1] : multiply(X1,inverse(X0)) = multiply(X1,multiply(X2,inverse(multiply(X2,X0)))),
inference(superposition,[],[f332,f23]) ).
fof(f491,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,inverse(inverse(X0)))) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f408,f365]) ).
fof(f365,plain,
! [X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(X0,multiply(X1,inverse(X3)))),
inference(backward_demodulation,[],[f359,f362]) ).
fof(f362,plain,
! [X2,X3,X0] : multiply(X3,multiply(X2,inverse(X0))) = multiply(X3,inverse(multiply(X0,inverse(X2)))),
inference(backward_demodulation,[],[f328,f338]) ).
fof(f328,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X2,inverse(X0))) = multiply(X3,multiply(X1,inverse(multiply(X1,multiply(X0,inverse(X2)))))),
inference(superposition,[],[f90,f165]) ).
fof(f359,plain,
! [X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(X0,inverse(multiply(X3,inverse(X1))))),
inference(backward_demodulation,[],[f89,f338]) ).
fof(f89,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(X3,multiply(X0,inverse(multiply(X3,multiply(X2,inverse(multiply(X2,X1))))))),
inference(superposition,[],[f5,f23]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X0,inverse(multiply(X3,multiply(X1,inverse(multiply(X4,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))))))))) = X4,
inference(superposition,[],[f3,f1]) ).
fof(f408,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(superposition,[],[f23,f352]) ).
fof(f509,plain,
multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(c3,a3)),
inference(backward_demodulation,[],[f392,f507]) ).
fof(f392,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(backward_demodulation,[],[f2,f352]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GRP515-1 : TPTP v8.2.0. Released v2.6.0.
% 0.09/0.15 % Command : run_vampire %s %d THM
% 0.14/0.37 % Computer : n022.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Jun 20 10:16:54 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.39 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.46 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (11161)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (2999ds/125345Mi)
% 0.25/0.46 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (11167)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.25/0.47 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.47 % (11165)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (2999ds/401Mi)
% 0.25/0.47 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.47 % (11166)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.25/0.47 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.47 % (11162)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (2999ds/224446Mi)
% 0.25/0.48 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.48 % (11163)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (2999ds/107Mi)
% 0.25/0.48 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.48 % (11164)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.25/0.48 % (11161)First to succeed.
% 0.25/0.48 % (11161)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11160"
% 0.25/0.49 % (11160)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.49 % (11161)Refutation found. Thanks to Tanya!
% 0.25/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.49 % (11161)------------------------------
% 0.25/0.49 % (11161)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.49 % (11161)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.49 % (11161)Termination reason: Refutation
% 0.25/0.49
% 0.25/0.49 % (11161)Memory used [KB]: 1136
% 0.25/0.49 % (11161)Time elapsed: 0.028 s
% 0.25/0.49 % (11161)Instructions burned: 51 (million)
% 0.25/0.49 % (11161)------------------------------
% 0.25/0.49 % (11161)------------------------------
% 0.25/0.49 % (11160)Success in time 0.09 s
%------------------------------------------------------------------------------