TSTP Solution File: CAT007-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT007-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 19:01:14 EDT 2024
% Result : Unsatisfiable 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(subsumption_resolution,[],[f22,f9]) ).
fof(f9,axiom,
there_exists(domain(c2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_exists) ).
fof(f22,plain,
~ there_exists(domain(c2)),
inference(subsumption_resolution,[],[f21,f12]) ).
fof(f12,axiom,
~ there_exists(compose(c2,c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c1_c2_is_defined) ).
fof(f21,plain,
( there_exists(compose(c2,c1))
| ~ there_exists(domain(c2)) ),
inference(resolution,[],[f5,f11]) ).
fof(f11,axiom,
equalish(domain(c2),codomain(c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_equals_codomain_of_c1) ).
fof(f5,axiom,
! [X0,X1] :
( ~ equalish(domain(X0),codomain(X1))
| there_exists(compose(X0,X1))
| ~ there_exists(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT007-3 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 11:31:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15602)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (15609)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 % (15603)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 % (15608)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39 % (15605)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.39 % (15606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39 % (15604)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (15607)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 % (15608)First to succeed.
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (15608)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15602"
% 0.22/0.39 % (15605)Also succeeded, but the first one will report.
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (15607)Also succeeded, but the first one will report.
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 % (15608)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (15608)------------------------------
% 0.22/0.40 % (15608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40 % (15608)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (15608)Memory used [KB]: 746
% 0.22/0.40 % (15608)Time elapsed: 0.004 s
% 0.22/0.40 % (15608)Instructions burned: 2 (million)
% 0.22/0.40 % (15602)Success in time 0.025 s
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