TSTP Solution File: GRP699-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP699-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 07:20:14 EDT 2024
% Result : Unsatisfiable 0.17s 0.45s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2045,plain,
$false,
inference(trivial_inequality_removal,[],[f2044]) ).
fof(f2044,plain,
mult(mult(a,b),c) != mult(mult(a,b),c),
inference(backward_demodulation,[],[f9,f1989]) ).
fof(f1989,plain,
! [X2,X0,X1] : mult(mult(X2,X1),X0) = mult(mult(X2,X0),ld(X0,mult(X1,X0))),
inference(superposition,[],[f1877,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1877,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),X0) = mult(mult(X2,X0),ld(X0,mult(mult(X0,X1),X0))),
inference(backward_demodulation,[],[f60,f1801]) ).
fof(f1801,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = ld(X0,mult(mult(X0,X1),X0)),
inference(superposition,[],[f2,f316]) ).
fof(f316,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X0,mult(ld(X0,X1),X0))),
inference(superposition,[],[f88,f1]) ).
fof(f88,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f69,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f69,plain,
! [X0,X1] : mult(mult(unit,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
inference(superposition,[],[f8,f6]) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f60,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(X0,mult(ld(X0,X1),X0))) = mult(mult(X2,mult(X0,X1)),X0),
inference(superposition,[],[f8,f1]) ).
fof(f9,axiom,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP699-1 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.10 % Command : run_vampire %s %d THM
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Jun 20 12:41:09 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.32 Running first-order theorem proving
% 0.16/0.32 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (2400)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)
% 0.16/0.37 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (2401)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.16/0.38 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (2399)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.16/0.38 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (2398)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)
% 0.16/0.38 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (2402)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.17/0.39 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (2397)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)
% 0.17/0.40 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (2396)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)
% 0.17/0.42 % (2398)Instruction limit reached!
% 0.17/0.42 % (2398)------------------------------
% 0.17/0.42 % (2398)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.42 % (2398)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.42 % (2398)Termination reason: Time limit
% 0.17/0.42 % (2398)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (2398)Memory used [KB]: 2038
% 0.17/0.42 % (2398)Time elapsed: 0.048 s
% 0.17/0.42 % (2398)Instructions burned: 107 (million)
% 0.17/0.44 % (2399)Instruction limit reached!
% 0.17/0.44 % (2399)------------------------------
% 0.17/0.44 % (2399)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.44 % (2399)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.44 % (2399)Termination reason: Time limit
% 0.17/0.44 % (2399)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (2399)Memory used [KB]: 2356
% 0.17/0.44 % (2399)Time elapsed: 0.066 s
% 0.17/0.44 % (2399)Instructions burned: 140 (million)
% 0.17/0.44 % (2400)First to succeed.
% 0.17/0.45 % (2400)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2395"
% 0.17/0.45 % (2395)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.45 % (2400)Refutation found. Thanks to Tanya!
% 0.17/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.45 % (2400)------------------------------
% 0.17/0.45 % (2400)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.45 % (2400)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.45 % (2400)Termination reason: Refutation
% 0.17/0.45
% 0.17/0.45 % (2400)Memory used [KB]: 2193
% 0.17/0.45 % (2400)Time elapsed: 0.073 s
% 0.17/0.45 % (2400)Instructions burned: 154 (million)
% 0.17/0.45 % (2400)------------------------------
% 0.17/0.45 % (2400)------------------------------
% 0.17/0.45 % (2395)Success in time 0.119 s
%------------------------------------------------------------------------------