TSTP Solution File: SYN053+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN053+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 : n013.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 18:01:57 EDT 2024
% Result : Theorem 0.24s 0.40s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 78 ( 29 ~; 30 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,plain,
$false,
inference(subsumption_resolution,[],[f23,f20]) ).
fof(f20,plain,
! [X0] : big_f(X0),
inference(factoring,[],[f17]) ).
fof(f17,plain,
! [X2,X3] :
( big_f(X2)
| big_f(X3) ),
inference(subsumption_resolution,[],[f15,f16]) ).
fof(f16,plain,
~ p,
inference(duplicate_literal_removal,[],[f11]) ).
fof(f11,plain,
( ~ p
| ~ p ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ( ~ big_f(sK0)
& ~ p )
| ( ~ big_f(sK1)
& ~ p ) )
& ( ! [X2] : big_f(X2)
| p
| ! [X3] :
( big_f(X3)
| p ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] : ~ big_f(X0)
=> ~ big_f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X1] :
( ~ big_f(X1)
& ~ p )
=> ( ~ big_f(sK1)
& ~ p ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ( ? [X0] : ~ big_f(X0)
& ~ p )
| ? [X1] :
( ~ big_f(X1)
& ~ p ) )
& ( ! [X2] : big_f(X2)
| p
| ! [X3] :
( big_f(X3)
| p ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ( ? [X1] : ~ big_f(X1)
& ~ p )
| ? [X0] :
( ~ big_f(X0)
& ~ p ) )
& ( ! [X1] : big_f(X1)
| p
| ! [X0] :
( big_f(X0)
| p ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ( ? [X1] : ~ big_f(X1)
& ~ p )
| ? [X0] :
( ~ big_f(X0)
& ~ p ) )
& ( ! [X1] : big_f(X1)
| p
| ! [X0] :
( big_f(X0)
| p ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ! [X0] :
( big_f(X0)
| p )
<~> ( ! [X1] : big_f(X1)
| p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( big_f(X0)
| p )
<=> ( ! [X1] : big_f(X1)
| p ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( big_f(X0)
| p )
<=> ( ! [X1] : big_f(X1)
| p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel23) ).
fof(f15,plain,
! [X2,X3] :
( big_f(X2)
| p
| big_f(X3) ),
inference(duplicate_literal_removal,[],[f10]) ).
fof(f10,plain,
! [X2,X3] :
( big_f(X2)
| p
| big_f(X3)
| p ),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
~ big_f(sK0),
inference(resolution,[],[f20,f14]) ).
fof(f14,plain,
( ~ big_f(sK1)
| ~ big_f(sK0) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYN053+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 01:40:49 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % (4662)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (4665)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 % (4667)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39 % (4668)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39 % (4669)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39 % (4670)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)
% 0.16/0.39 % (4664)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (4666)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)
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 Detected minimum model sizes of [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 Detected maximum model sizes of [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 % (4668)First to succeed.
% 0.24/0.40 % (4669)Also succeeded, but the first one will report.
% 0.24/0.40 TRYING [2]
% 0.24/0.40 TRYING [2]
% 0.24/0.40 TRYING [2]
% 0.24/0.40 TRYING [2]
% 0.24/0.40 % (4664)Also succeeded, but the first one will report.
% 0.24/0.40 % (4668)Refutation found. Thanks to Tanya!
% 0.24/0.40 % SZS status Theorem for theBenchmark
% 0.24/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.40 % (4668)------------------------------
% 0.24/0.40 % (4668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.24/0.40 % (4668)Termination reason: Refutation
% 0.24/0.40
% 0.24/0.40 % (4668)Memory used [KB]: 743
% 0.24/0.40 % (4668)Time elapsed: 0.003 s
% 0.24/0.40 % (4668)Instructions burned: 2 (million)
% 0.24/0.40 % (4668)------------------------------
% 0.24/0.40 % (4668)------------------------------
% 0.24/0.40 % (4662)Success in time 0.007 s
%------------------------------------------------------------------------------