TSTP Solution File: GRP658-10 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP658-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 07:19:36 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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; 0 con; 1-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f602,plain,
$false,
inference(trivial_inequality_removal,[],[f601]) ).
fof(f601,plain,
! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(backward_demodulation,[],[f402,f598]) ).
fof(f598,plain,
! [X2,X0] : mult(X0,rd(X2,X2)) = X0,
inference(backward_demodulation,[],[f568,f571]) ).
fof(f571,plain,
! [X2,X0,X1] : mult(X1,X0) = ld(rd(X2,mult(X1,X2)),X0),
inference(superposition,[],[f7,f415]) ).
fof(f415,plain,
! [X2,X0,X1] : rd(X1,mult(X2,X1)) = rd(X0,mult(X2,X0)),
inference(forward_demodulation,[],[f397,f121]) ).
fof(f121,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X1),mult(X2,X2)),X2) = rd(X0,mult(X2,X1)),
inference(superposition,[],[f29,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f29,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = rd(mult(X0,X2),mult(X1,X2)),
inference(superposition,[],[f4,f14]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X2)) = mult(X0,X2),
inference(superposition,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f397,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X0),mult(X2,X2)),X2) = rd(X1,mult(X2,X1)),
inference(superposition,[],[f29,f351]) ).
fof(f351,plain,
! [X2,X1] : mult(rd(X1,X1),X2) = X2,
inference(forward_demodulation,[],[f337,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f337,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(rd(X1,X1),X2),
inference(superposition,[],[f24,f286]) ).
fof(f286,plain,
! [X0,X1] : mult(rd(X0,mult(X0,X0)),X0) = rd(X1,X1),
inference(superposition,[],[f97,f1]) ).
fof(f97,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = rd(mult(X0,ld(X1,X2)),X2),
inference(superposition,[],[f4,f24]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X1)) = mult(mult(rd(X2,mult(X0,X0)),X0),X1),
inference(superposition,[],[f14,f1]) ).
fof(f7,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f568,plain,
! [X2,X0,X1] : ld(rd(X1,mult(X0,X1)),rd(X2,X2)) = X0,
inference(superposition,[],[f338,f415]) ).
fof(f338,plain,
! [X0,X1] : ld(rd(X0,mult(X0,X0)),rd(X1,X1)) = X0,
inference(superposition,[],[f2,f286]) ).
fof(f402,plain,
! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),mult(x1_2(rd(X0,X0)),rd(X0,X0))),
inference(superposition,[],[f6,f351]) ).
fof(f6,axiom,
! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP658-10 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 11:06:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7205)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7202)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)
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7203)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)
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7206)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)
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7207)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7204)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)
% 0.21/0.41 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (7208)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.21/0.44 % (7205)First to succeed.
% 0.21/0.44 % (7205)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7201"
% 0.21/0.45 % (7201)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (7205)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (7205)------------------------------
% 0.21/0.45 % (7205)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45 % (7205)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45 % (7205)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (7205)Memory used [KB]: 1272
% 0.21/0.45 % (7205)Time elapsed: 0.033 s
% 0.21/0.45 % (7205)Instructions burned: 48 (million)
% 0.21/0.45 % (7205)------------------------------
% 0.21/0.45 % (7205)------------------------------
% 0.21/0.45 % (7201)Success in time 0.081 s
%------------------------------------------------------------------------------