TSTP Solution File: LDA007-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LDA007-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 07:56:15 EDT 2024
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1208,plain,
$false,
inference(subsumption_resolution,[],[f1207,f20]) ).
fof(f20,axiom,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f1207,plain,
f(t,tsk) = f(tt_ts,tk),
inference(forward_demodulation,[],[f1196,f18]) ).
fof(f18,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f1196,plain,
f(tt_ts,tk) = f(t,f(ts,k)),
inference(superposition,[],[f164,f305]) ).
fof(f305,plain,
tt_ts = f(t,ts),
inference(forward_demodulation,[],[f299,f13]) ).
fof(f13,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f299,plain,
f(tt,ts) = f(t,ts),
inference(superposition,[],[f149,f12]) ).
fof(f12,axiom,
ts = f(t,s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f149,plain,
! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
inference(superposition,[],[f1,f10]) ).
fof(f10,axiom,
tt = f(t,t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f164,plain,
! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
inference(superposition,[],[f1,f16]) ).
fof(f16,axiom,
tk = f(t,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LDA007-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:14:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15164)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (15168)WARNING: value z3 for option sas not known
% 0.22/0.38 % (15169)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (15166)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (15170)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)
% 0.22/0.38 % (15172)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)
% 0.22/0.38 % (15168)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)
% 0.22/0.38 % (15171)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)
% 0.22/0.38 % (15167)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.43 % (15168)First to succeed.
% 0.22/0.43 % (15168)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15164"
% 0.22/0.43 % (15168)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (15168)------------------------------
% 0.22/0.43 % (15168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.43 % (15168)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (15168)Memory used [KB]: 1438
% 0.22/0.43 % (15168)Time elapsed: 0.048 s
% 0.22/0.43 % (15168)Instructions burned: 79 (million)
% 0.22/0.43 % (15164)Success in time 0.066 s
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