TSTP Solution File: SYN371+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN371+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 : n026.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 18:03:05 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 28 ( 10 ~; 3 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 23 ( 16 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,plain,
$false,
inference(subsumption_resolution,[],[f9,f8]) ).
fof(f8,plain,
! [X0] : big_r(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X0] :
( ~ big_r(sK0(X0),sK0(X0))
& big_r(X0,X0) )
& ( ! [X2] : big_r(X2,X2)
| ! [X3] : ~ big_r(X3,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
! [X0] :
( ? [X1] :
( ~ big_r(X1,X1)
& big_r(X0,X0) )
=> ( ~ big_r(sK0(X0),sK0(X0))
& big_r(X0,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
( ! [X0] :
? [X1] :
( ~ big_r(X1,X1)
& big_r(X0,X0) )
& ( ! [X2] : big_r(X2,X2)
| ! [X3] : ~ big_r(X3,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,plain,
( ! [X2] :
? [X3] :
( ~ big_r(X3,X3)
& big_r(X2,X2) )
& ( ! [X1] : big_r(X1,X1)
| ! [X0] : ~ big_r(X0,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] : big_r(X0,X0)
=> ! [X1] : big_r(X1,X1) )
=> ? [X2] :
! [X3] :
( big_r(X2,X2)
=> big_r(X3,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X0] : big_r(X0,X0)
=> ! [X1] : big_r(X1,X1) )
=> ? [X2] :
! [X3] :
( big_r(X2,X2)
=> big_r(X3,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2122) ).
fof(f9,plain,
! [X0] : ~ big_r(sK0(X0),sK0(X0)),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN371+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.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 : Tue Apr 30 02:09:34 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (30780)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (30783)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)
% 0.15/0.37 % (30782)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (30781)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (30785)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (30786)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (30784)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (30787)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 % (30785)First to succeed.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1]
% 0.15/0.38 TRYING [2,1]
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (30782)Refutation not found, incomplete strategy% (30782)------------------------------
% 0.15/0.38 % (30782)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (30782)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (30782)Memory used [KB]: 721
% 0.15/0.38 % (30782)Time elapsed: 0.003 s
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (30782)Instructions burned: 2 (million)
% 0.15/0.38 % (30782)------------------------------
% 0.15/0.38 % (30782)------------------------------
% 0.15/0.38 % (30784)Refutation not found, incomplete strategy% (30784)------------------------------
% 0.15/0.38 % (30784)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (30784)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (30784)Memory used [KB]: 722
% 0.15/0.38 % (30784)Time elapsed: 0.002 s
% 0.15/0.38 % (30784)Instructions burned: 2 (million)
% 0.15/0.38 % (30784)------------------------------
% 0.15/0.38 % (30784)------------------------------
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (30781)Also succeeded, but the first one will report.
% 0.15/0.38 % (30786)Also succeeded, but the first one will report.
% 0.15/0.38 % (30785)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (30785)------------------------------
% 0.15/0.38 % (30785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (30785)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (30785)Memory used [KB]: 726
% 0.15/0.38 % (30785)Time elapsed: 0.003 s
% 0.15/0.38 % (30785)Instructions burned: 2 (million)
% 0.15/0.38 % (30785)------------------------------
% 0.15/0.38 % (30785)------------------------------
% 0.15/0.38 % (30780)Success in time 0.017 s
%------------------------------------------------------------------------------