TSTP Solution File: SYN332+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN332+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 : n029.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 08:35:02 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 239 ( 0 equ)
% Maximal formula atoms : 60 ( 9 avg)
% Number of connectives : 303 ( 90 ~; 101 |; 77 &)
% ( 18 <=>; 11 =>; 0 <=; 6 <~>)
% Maximal formula depth : 17 ( 7 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; 2-2 aty)
% Number of variables : 53 ( 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(resolution,[],[f87,f46]) ).
fof(f46,plain,
! [X0] : ~ big_f(X0,sK0(X0,X0)),
inference(subsumption_resolution,[],[f45,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ( ~ big_f(sK0(X0,X1),X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(sK0(X0,X1),X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X0) )
& ( big_f(sK0(X0,X1),X0)
| ~ big_f(X0,sK0(X0,X1)) )
& ( ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,sK0(X0,X1))
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) )
=> ( ( ~ big_f(sK0(X0,X1),X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(sK0(X0,X1),X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(sK0(X0,X1),sK0(X0,X1)) )
& ( big_f(sK0(X0,X1),sK0(X0,X1))
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& ( big_f(X1,sK0(X0,X1))
| ~ big_f(X0,sK0(X0,X1)) )
& ( big_f(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),X0) )
& ( big_f(sK0(X0,X1),X0)
| ~ big_f(X0,sK0(X0,X1)) )
& ( ~ big_f(X0,sK0(X0,X1))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,sK0(X0,X1))
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
? [X2] :
( ( ~ big_f(X2,X1)
| ( ( ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X1,X0)
| big_f(X0,X1) ) ) )
& ( big_f(X2,X1)
| ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
& ( big_f(X1,X0)
| ~ big_f(X0,X1) ) ) )
& ( big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X2,X2) )
& ( big_f(X2,X2)
| ( ~ big_f(X0,X1)
& big_f(X1,X0) ) )
& ( big_f(X0,X2)
| ~ big_f(X1,X2) )
& ( big_f(X1,X2)
| ~ big_f(X0,X2) )
& ( big_f(X0,X2)
| ~ big_f(X2,X0) )
& ( big_f(X2,X0)
| ~ big_f(X0,X2) )
& ( ~ big_f(X0,X2)
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) )
& ( big_f(X0,X2)
| ( big_f(X1,X0)
& big_f(X0,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
! [X0,X1] :
? [X2] :
( ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<~> big_f(X2,X1) )
& ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
<=> big_f(X2,X2) )
& ( big_f(X0,X2)
<=> big_f(X1,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<~> big_f(X2,X1) )
& ( ( big_f(X0,X1)
| ~ big_f(X1,X0) )
<=> big_f(X2,X2) )
& ( big_f(X0,X2)
<=> big_f(X1,X2) )
& ( big_f(X0,X2)
<=> big_f(X2,X0) )
& ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X0,X2)
<=> big_f(X1,X2) )
=> ( ( ( big_f(X1,X0)
=> big_f(X0,X1) )
<=> big_f(X2,X2) )
=> ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<=> big_f(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( ( ( big_f(X1,X0)
& big_f(X0,X1) )
<~> big_f(X0,X2) )
=> ( ( big_f(X0,X2)
<=> big_f(X2,X0) )
=> ( ( big_f(X0,X2)
<=> big_f(X1,X2) )
=> ( ( ( big_f(X1,X0)
=> big_f(X0,X1) )
<=> big_f(X2,X2) )
=> ( ( big_f(X0,X1)
<=> big_f(X1,X0) )
<=> big_f(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
fof(f45,plain,
! [X0] :
( big_f(X0,X0)
| ~ big_f(X0,sK0(X0,X0)) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
! [X0] :
( big_f(X0,X0)
| big_f(X0,X0)
| ~ big_f(X0,sK0(X0,X0)) ),
inference(resolution,[],[f21,f12]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),X0)
| ~ big_f(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),X1)
| big_f(X1,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f87,plain,
! [X0,X1] : big_f(X1,X0),
inference(subsumption_resolution,[],[f86,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X1,X0) ),
inference(resolution,[],[f53,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0] : big_f(X0,X0),
inference(resolution,[],[f46,f10]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| big_f(X1,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f86,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,X0) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,X0)
| big_f(X0,X1) ),
inference(resolution,[],[f62,f21]) ).
fof(f62,plain,
! [X0,X1] :
( big_f(sK0(X0,X1),X1)
| big_f(X0,X1) ),
inference(resolution,[],[f59,f25]) ).
fof(f25,plain,
! [X0,X1] :
( big_f(X0,sK0(X1,X0))
| big_f(X1,X0) ),
inference(resolution,[],[f14,f9]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(X0,sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_f(X0,sK0(X0,X1))
| big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN332+1 : TPTP v8.2.0. Released v2.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 15:26:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (25448)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (25449)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.35 % (25452)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [2]
% 0.13/0.35 TRYING [3]
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [2]
% 0.13/0.35 TRYING [4]
% 0.13/0.35 TRYING [3]
% 0.13/0.36 TRYING [5]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 % (25451)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)
% 0.13/0.36 % (25450)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (25454)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (25453)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (25455)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)
% 0.13/0.36 TRYING [6]
% 0.13/0.36 TRYING [5]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (25451)Also succeeded, but the first one will report.
% 0.13/0.36 % (25454)First to succeed.
% 0.13/0.36 % (25454)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25448"
% 0.13/0.36 % (25453)Also succeeded, but the first one will report.
% 0.13/0.36 TRYING [4]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 % (25454)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (25454)------------------------------
% 0.13/0.36 % (25454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (25454)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (25454)Memory used [KB]: 751
% 0.13/0.36 % (25454)Time elapsed: 0.005 s
% 0.13/0.36 % (25454)Instructions burned: 6 (million)
% 0.13/0.36 % (25448)Success in time 0.01 s
%------------------------------------------------------------------------------