TSTP Solution File: SYN359+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN359+1 : TPTP v8.2.0. Released v2.0.0.
% 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 : Tue May 21 08:35:13 EDT 2024
% Result : Theorem 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 70 ( 23 ~; 15 |; 21 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 35 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,plain,
$false,
inference(subsumption_resolution,[],[f18,f10]) ).
fof(f10,plain,
big_r(sK1),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0,X1] :
( ~ big_r(X1)
| ~ big_q(X0,X1) )
& ! [X2,X3] :
( big_q(X2,X2)
| ~ big_q(X2,X3) )
& ! [X4] :
( big_q(X4,sK0(X4))
| ~ big_r(X4) )
& big_r(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
! [X4] :
( ? [X5] : big_q(X4,X5)
=> big_q(X4,sK0(X4)) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X6] : big_r(X6)
=> big_r(sK1) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0,X1] :
( ~ big_r(X1)
| ~ big_q(X0,X1) )
& ! [X2,X3] :
( big_q(X2,X2)
| ~ big_q(X2,X3) )
& ! [X4] :
( ? [X5] : big_q(X4,X5)
| ~ big_r(X4) )
& ? [X6] : big_r(X6) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X5,X6] :
( ~ big_r(X6)
| ~ big_q(X5,X6) )
& ! [X0,X1] :
( big_q(X0,X0)
| ~ big_q(X0,X1) )
& ! [X2] :
( ? [X3] : big_q(X2,X3)
| ~ big_r(X2) )
& ? [X4] : big_r(X4) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X5,X6] :
( ~ big_r(X6)
| ~ big_q(X5,X6) )
& ! [X0,X1] :
( big_q(X0,X0)
| ~ big_q(X0,X1) )
& ! [X2] :
( ? [X3] : big_q(X2,X3)
| ~ big_r(X2) )
& ? [X4] : big_r(X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0,X1] :
( big_q(X0,X1)
=> big_q(X0,X0) )
& ! [X2] :
( big_r(X2)
=> ? [X3] : big_q(X2,X3) )
& ? [X4] : big_r(X4) )
=> ? [X5,X6] :
( big_r(X6)
& big_q(X5,X6) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0,X1] :
( big_q(X0,X1)
=> big_q(X0,X0) )
& ! [X1] :
( big_r(X1)
=> ? [X2] : big_q(X1,X2) )
& ? [X0] : big_r(X0) )
=> ? [X0,X1] :
( big_r(X1)
& big_q(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X0,X1] :
( big_q(X0,X1)
=> big_q(X0,X0) )
& ! [X1] :
( big_r(X1)
=> ? [X2] : big_q(X1,X2) )
& ? [X0] : big_r(X0) )
=> ? [X0,X1] :
( big_r(X1)
& big_q(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2110) ).
fof(f18,plain,
~ big_r(sK1),
inference(resolution,[],[f16,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_q(X0,X1)
| ~ big_r(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
big_q(sK1,sK1),
inference(resolution,[],[f12,f14]) ).
fof(f14,plain,
big_q(sK1,sK0(sK1)),
inference(resolution,[],[f11,f10]) ).
fof(f11,plain,
! [X4] :
( ~ big_r(X4)
| big_q(X4,sK0(X4)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X2,X3] :
( ~ big_q(X2,X3)
| big_q(X2,X2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN359+1 : TPTP v8.2.0. Released v2.0.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 14:02:52 EDT 2024
% 0.18/0.33 % CPUTime :
% 0.18/0.34 % (10704)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (10706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.35 % (10710)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.35 % (10709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.35 % (10708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.35 % (10707)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)
% 0.18/0.35 % (10711)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)
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 % (10706)Also succeeded, but the first one will report.
% 0.18/0.35 % (10710)Also succeeded, but the first one will report.
% 0.18/0.35 % (10707)Also succeeded, but the first one will report.
% 0.18/0.35 % (10711)Also succeeded, but the first one will report.
% 0.18/0.35 % (10708)Also succeeded, but the first one will report.
% 0.18/0.35 % (10709)First to succeed.
% 0.18/0.35 % (10709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10704"
% 0.18/0.35 % (10705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.35 % (10709)Refutation found. Thanks to Tanya!
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.35 % (10709)------------------------------
% 0.18/0.35 % (10709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.35 % (10709)Termination reason: Refutation
% 0.18/0.35
% 0.18/0.35 % (10709)Memory used [KB]: 744
% 0.18/0.35 % (10709)Time elapsed: 0.003 s
% 0.18/0.35 % (10709)Instructions burned: 2 (million)
% 0.18/0.35 % (10704)Success in time 0.016 s
%------------------------------------------------------------------------------