TSTP Solution File: SEU188+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU188+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 : n020.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 : Tue Apr 30 15:23:39 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 72 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 73 ( 30 ~; 23 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f411,plain,
$false,
inference(subsumption_resolution,[],[f409,f93]) ).
fof(f93,plain,
empty(empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f409,plain,
~ empty(empty_set),
inference(superposition,[],[f344,f408]) ).
fof(f408,plain,
empty_set = relation_dom(sK4),
inference(subsumption_resolution,[],[f406,f93]) ).
fof(f406,plain,
( ~ empty(empty_set)
| empty_set = relation_dom(sK4) ),
inference(superposition,[],[f332,f91]) ).
fof(f91,plain,
( empty_set = relation_rng(sK4)
| empty_set = relation_dom(sK4) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( empty_set != sK4
& ( empty_set = relation_rng(sK4)
| empty_set = relation_dom(sK4) )
& relation(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f37,f62]) ).
fof(f62,plain,
( ? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) )
=> ( empty_set != sK4
& ( empty_set = relation_rng(sK4)
| empty_set = relation_dom(sK4) )
& relation(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f332,plain,
~ empty(relation_rng(sK4)),
inference(unit_resulting_resolution,[],[f171,f90,f118]) ).
fof(f118,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_rng(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f90,plain,
relation(sK4),
inference(cnf_transformation,[],[f63]) ).
fof(f171,plain,
~ empty(sK4),
inference(unit_resulting_resolution,[],[f92,f113]) ).
fof(f113,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f92,plain,
empty_set != sK4,
inference(cnf_transformation,[],[f63]) ).
fof(f344,plain,
~ empty(relation_dom(sK4)),
inference(unit_resulting_resolution,[],[f171,f90,f119]) ).
fof(f119,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.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 : Mon Apr 29 20:18:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21413)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (21416)WARNING: value z3 for option sas not known
% 0.22/0.38 % (21417)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (21414)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (21418)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 % (21419)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 % (21416)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 % (21420)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 % (21415)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (21420)First to succeed.
% 0.22/0.39 % (21416)Also succeeded, but the first one will report.
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (21419)Also succeeded, but the first one will report.
% 0.22/0.39 % (21420)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (21420)------------------------------
% 0.22/0.39 % (21420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (21420)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (21420)Memory used [KB]: 912
% 0.22/0.39 % (21420)Time elapsed: 0.007 s
% 0.22/0.39 % (21420)Instructions burned: 10 (million)
% 0.22/0.39 % (21420)------------------------------
% 0.22/0.39 % (21420)------------------------------
% 0.22/0.39 % (21413)Success in time 0.024 s
%------------------------------------------------------------------------------