TSTP Solution File: GEO146+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO146+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 05:15:35 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 64 ( 29 ~; 20 |; 6 &)
% ( 7 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f400,plain,
$false,
inference(resolution,[],[f398,f387]) ).
fof(f387,plain,
~ connect(sK5,sK6,sK7),
inference(resolution,[],[f386,f254]) ).
fof(f254,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ( connect(X0,X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(X1,X2))) )
& ( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X11,X12,X2] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).
fof(f386,plain,
~ once(at_the_same_time(at(sK5,sK7),at(sK6,sK7))),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f385,plain,
( ~ once(at_the_same_time(at(sK5,sK7),at(sK6,sK7)))
| ~ once(at_the_same_time(at(sK5,sK7),at(sK6,sK7))) ),
inference(resolution,[],[f367,f248]) ).
fof(f248,plain,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) )
& ( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
<=> once(at_the_same_time(X1,X0)) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X13,X14] :
( once(at_the_same_time(X13,X14))
<=> once(at_the_same_time(X14,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_at_the_same_time) ).
fof(f367,plain,
( ~ once(at_the_same_time(at(sK6,sK7),at(sK5,sK7)))
| ~ once(at_the_same_time(at(sK5,sK7),at(sK6,sK7))) ),
inference(resolution,[],[f366,f255]) ).
fof(f255,plain,
! [X2,X0,X1] :
( connect(X0,X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf_transformation,[],[f169]) ).
fof(f366,plain,
( ~ connect(sK5,sK6,sK7)
| ~ once(at_the_same_time(at(sK6,sK7),at(sK5,sK7))) ),
inference(resolution,[],[f255,f199]) ).
fof(f199,plain,
( ~ connect(sK6,sK5,sK7)
| ~ connect(sK5,sK6,sK7) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( ~ connect(sK6,sK5,sK7)
| ~ connect(sK5,sK6,sK7) )
& ( connect(sK6,sK5,sK7)
| connect(sK5,sK6,sK7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( ( ~ connect(X1,X0,X2)
| ~ connect(X0,X1,X2) )
& ( connect(X1,X0,X2)
| connect(X0,X1,X2) ) )
=> ( ( ~ connect(sK6,sK5,sK7)
| ~ connect(sK5,sK6,sK7) )
& ( connect(sK6,sK5,sK7)
| connect(sK5,sK6,sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2] :
( ( ~ connect(X1,X0,X2)
| ~ connect(X0,X1,X2) )
& ( connect(X1,X0,X2)
| connect(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
? [X0,X1,X2] :
( connect(X0,X1,X2)
<~> connect(X1,X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> connect(X1,X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X11,X12,X2] :
( connect(X11,X12,X2)
<=> connect(X12,X11,X2) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X11,X12,X2] :
( connect(X11,X12,X2)
<=> connect(X12,X11,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12) ).
fof(f398,plain,
connect(sK5,sK6,sK7),
inference(resolution,[],[f390,f198]) ).
fof(f198,plain,
( connect(sK6,sK5,sK7)
| connect(sK5,sK6,sK7) ),
inference(cnf_transformation,[],[f117]) ).
fof(f390,plain,
~ connect(sK6,sK5,sK7),
inference(resolution,[],[f388,f254]) ).
fof(f388,plain,
~ once(at_the_same_time(at(sK6,sK7),at(sK5,sK7))),
inference(resolution,[],[f386,f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO146+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.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 : Fri May 3 21:59:53 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % (16229)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (16232)WARNING: value z3 for option sas not known
% 0.21/0.37 % (16230)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (16231)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (16232)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)
% 0.21/0.37 % (16233)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (16234)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)
% 0.21/0.37 % (16235)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)
% 0.21/0.37 % (16236)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 % (16235)First to succeed.
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (16235)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16229"
% 0.21/0.38 % (16235)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (16235)------------------------------
% 0.21/0.38 % (16235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (16235)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (16235)Memory used [KB]: 1093
% 0.21/0.38 % (16235)Time elapsed: 0.011 s
% 0.21/0.38 % (16235)Instructions burned: 15 (million)
% 0.21/0.38 % (16229)Success in time 0.029 s
%------------------------------------------------------------------------------