TSTP Solution File: SYN382+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN382+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 12:09:58 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 14 ~; 12 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 40 ( 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,plain,
$false,
inference(resolution,[],[f12,f10]) ).
fof(f10,plain,
! [X1] : ~ big_p(X1,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X1] :
( ~ big_q(X1,sK0)
& ~ big_p(X1,sK0) )
& ! [X2] :
( big_q(sK1(X2),X2)
| ! [X4] : big_p(sK1(X2),X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).
fof(f6,plain,
( ? [X0] :
! [X1] :
( ~ big_q(X1,X0)
& ~ big_p(X1,X0) )
=> ! [X1] :
( ~ big_q(X1,sK0)
& ~ big_p(X1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X2] :
( ? [X3] :
( big_q(X3,X2)
| ! [X4] : big_p(X3,X4) )
=> ( big_q(sK1(X2),X2)
| ! [X4] : big_p(sK1(X2),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ? [X0] :
! [X1] :
( ~ big_q(X1,X0)
& ~ big_p(X1,X0) )
& ! [X2] :
? [X3] :
( big_q(X3,X2)
| ! [X4] : big_p(X3,X4) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ? [X3] :
! [X4] :
( ~ big_q(X4,X3)
& ~ big_p(X4,X3) )
& ! [X0] :
? [X1] :
( big_q(X1,X0)
| ! [X2] : big_p(X1,X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
? [X1] :
( big_q(X1,X0)
| ! [X2] : big_p(X1,X2) )
=> ! [X3] :
? [X4] :
( big_q(X4,X3)
| big_p(X4,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( big_q(X1,X0)
| ! [X2] : big_p(X1,X2) )
=> ! [X2] :
? [X1] :
( big_q(X1,X2)
| big_p(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( big_q(X1,X0)
| ! [X2] : big_p(X1,X2) )
=> ! [X2] :
? [X1] :
( big_q(X1,X2)
| big_p(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2134) ).
fof(f12,plain,
! [X0] : big_p(sK1(sK0),X0),
inference(resolution,[],[f9,f11]) ).
fof(f11,plain,
! [X1] : ~ big_q(X1,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f9,plain,
! [X2,X4] :
( big_q(sK1(X2),X2)
| big_p(sK1(X2),X4) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN382+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n004.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 17:17:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (24651)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (24655)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (24656)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (24657)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 % (24657)Also succeeded, but the first one will report.
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 % (24656)First to succeed.
% 0.22/0.38 % (24655)Refutation not found, incomplete strategy% (24655)------------------------------
% 0.22/0.38 % (24655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24655)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (24655)Memory used [KB]: 724
% 0.22/0.38 % (24655)Time elapsed: 0.002 s
% 0.22/0.38 % (24655)Instructions burned: 2 (million)
% 0.22/0.38 % (24658)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)
% 0.22/0.38 % (24655)------------------------------
% 0.22/0.38 % (24655)------------------------------
% 0.22/0.38 % (24656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24651"
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (24658)Also succeeded, but the first one will report.
% 0.22/0.38 % (24653)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (24656)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (24656)------------------------------
% 0.22/0.38 % (24656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24656)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (24656)Memory used [KB]: 730
% 0.22/0.38 % (24656)Time elapsed: 0.003 s
% 0.22/0.38 % (24656)Instructions burned: 2 (million)
% 0.22/0.38 % (24651)Success in time 0.003 s
%------------------------------------------------------------------------------