TSTP Solution File: SEU303+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 09:32:52 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 58 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 18 ~; 11 |; 19 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(subsumption_resolution,[],[f37,f24]) ).
fof(f24,plain,
~ finite(relation_rng(sK0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ~ finite(relation_rng(sK0))
& finite(relation_dom(sK0))
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f17]) ).
fof(f17,plain,
( ? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) )
=> ( ~ finite(relation_rng(sK0))
& finite(relation_dom(sK0))
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f37,plain,
finite(relation_rng(sK0)),
inference(forward_demodulation,[],[f34,f30]) ).
fof(f30,plain,
relation_rng(sK0) = relation_image(sK0,relation_dom(sK0)),
inference(unit_resulting_resolution,[],[f21,f25]) ).
fof(f25,plain,
! [X0] :
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f21,plain,
relation(sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
finite(relation_image(sK0,relation_dom(sK0))),
inference(unit_resulting_resolution,[],[f21,f22,f23,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ finite(X1)
| finite(relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( finite(X1)
& function(X0)
& relation(X0) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f23,plain,
finite(relation_dom(sK0)),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
function(sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 10:57:13 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1364)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (1370)WARNING: value z3 for option sas not known
% 0.14/0.38 % (1368)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (1371)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (1370)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)
% 0.14/0.38 % (1369)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (1372)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (1374)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)
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (1374)First to succeed.
% 0.14/0.38 % (1372)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (1374)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1364"
% 0.14/0.38 % (1370)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [6]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [6]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (1374)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (1374)------------------------------
% 0.14/0.38 % (1374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (1374)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (1374)Memory used [KB]: 754
% 0.14/0.38 % (1374)Time elapsed: 0.004 s
% 0.14/0.38 % (1374)Instructions burned: 3 (million)
% 0.14/0.38 % (1364)Success in time 0.02 s
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