TSTP Solution File: CAT005-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 04:43:44 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 27 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(trivial_inequality_removal,[],[f74]) ).
fof(f74,plain,
d != d,
inference(superposition,[],[f15,f53]) ).
fof(f53,plain,
d = domain(a),
inference(resolution,[],[f36,f41]) ).
fof(f41,plain,
there_exists(d),
inference(resolution,[],[f40,f19]) ).
fof(f19,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f12]) ).
fof(f12,axiom,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f40,plain,
( ~ there_exists(domain(a))
| there_exists(d) ),
inference(superposition,[],[f5,f35]) ).
fof(f35,plain,
domain(a) = codomain(d),
inference(resolution,[],[f34,f24]) ).
fof(f24,plain,
there_exists(a),
inference(backward_demodulation,[],[f12,f22]) ).
fof(f22,plain,
a = compose(a,d),
inference(resolution,[],[f13,f12]) ).
fof(f13,axiom,
! [X0] :
( ~ there_exists(compose(X0,d))
| compose(X0,d) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).
fof(f34,plain,
( ~ there_exists(a)
| domain(a) = codomain(d) ),
inference(superposition,[],[f7,f22]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_has_elements) ).
fof(f36,plain,
( ~ there_exists(d)
| d = domain(a) ),
inference(backward_demodulation,[],[f23,f35]) ).
fof(f23,plain,
( ~ there_exists(d)
| d = codomain(d) ),
inference(superposition,[],[f13,f11]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f15,axiom,
d != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.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 18:10:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18450)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18455)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18454)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (18455)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)
% 0.15/0.38 % (18457)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)
% 0.15/0.38 % (18453)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (18456)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (18458)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)
% 0.15/0.38 % (18459)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 % (18458)First to succeed.
% 0.15/0.39 % (18455)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (18458)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18450"
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (18458)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (18458)------------------------------
% 0.15/0.39 % (18458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (18458)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (18458)Memory used [KB]: 790
% 0.15/0.39 % (18458)Time elapsed: 0.006 s
% 0.15/0.39 % (18458)Instructions burned: 5 (million)
% 0.15/0.39 % (18450)Success in time 0.022 s
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