TSTP Solution File: SYN922+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN922+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 12:18:24 EDT 2024
% Result : Theorem 0.19s 0.37s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 89 ( 36 ~; 26 |; 20 &)
% ( 3 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(subsumption_resolution,[],[f21,f17]) ).
fof(f17,plain,
! [X0] : p(X0),
inference(factoring,[],[f12]) ).
fof(f12,plain,
! [X4,X5] :
( p(X4)
| p(X5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ~ q(sK0)
| ~ p(sK1)
| ~ q(sK2)
| ~ p(sK2) )
& ( ( ! [X3] : q(X3)
& ! [X4] : p(X4) )
| ! [X5] :
( q(X5)
& p(X5) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).
fof(f8,plain,
( ? [X0] : ~ q(X0)
=> ~ q(sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK1) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X2] :
( ~ q(X2)
| ~ p(X2) )
=> ( ~ q(sK2)
| ~ p(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ( ? [X0] : ~ q(X0)
| ? [X1] : ~ p(X1)
| ? [X2] :
( ~ q(X2)
| ~ p(X2) ) )
& ( ( ! [X3] : q(X3)
& ! [X4] : p(X4) )
| ! [X5] :
( q(X5)
& p(X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
( ( ? [X1] : ~ q(X1)
| ? [X2] : ~ p(X2)
| ? [X0] :
( ~ q(X0)
| ~ p(X0) ) )
& ( ( ! [X1] : q(X1)
& ! [X2] : p(X2) )
| ! [X0] :
( q(X0)
& p(X0) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( ? [X1] : ~ q(X1)
| ? [X2] : ~ p(X2)
| ? [X0] :
( ~ q(X0)
| ~ p(X0) ) )
& ( ( ! [X1] : q(X1)
& ! [X2] : p(X2) )
| ! [X0] :
( q(X0)
& p(X0) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( q(X0)
& p(X0) )
<~> ( ! [X1] : q(X1)
& ! [X2] : p(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X1] : q(X1)
& ! [X2] : p(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X0] : q(X0)
& ! [X0] : p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( q(X0)
& p(X0) )
<=> ( ! [X0] : q(X0)
& ! [X0] : p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f21,plain,
~ p(sK2),
inference(subsumption_resolution,[],[f20,f18]) ).
fof(f18,plain,
! [X0] : q(X0),
inference(factoring,[],[f15]) ).
fof(f15,plain,
! [X3,X5] :
( q(X3)
| q(X5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
( ~ q(sK2)
| ~ p(sK2) ),
inference(subsumption_resolution,[],[f19,f17]) ).
fof(f19,plain,
( ~ p(sK1)
| ~ q(sK2)
| ~ p(sK2) ),
inference(subsumption_resolution,[],[f16,f18]) ).
fof(f16,plain,
( ~ q(sK0)
| ~ p(sK1)
| ~ q(sK2)
| ~ p(sK2) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN922+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 17:33:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (15754)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (15758)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (15755)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (15757)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)
% 0.13/0.37 % (15760)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (15759)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (15756)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (15761)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)
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [3]
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [3]
% 0.13/0.37 Detected maximum model sizes of [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 % (15759)First to succeed.
% 0.13/0.37 TRYING [1]
% 0.13/0.37 Detected maximum model sizes of [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (15760)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (15755)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (15757)Also succeeded, but the first one will report.
% 0.13/0.37 % (15758)Also succeeded, but the first one will report.
% 0.13/0.37 % (15759)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15754"
% 0.13/0.37 % (15756)Also succeeded, but the first one will report.
% 0.13/0.37 % (15761)Also succeeded, but the first one will report.
% 0.19/0.37 % (15759)Refutation found. Thanks to Tanya!
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37 % (15759)------------------------------
% 0.19/0.37 % (15759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37 % (15759)Termination reason: Refutation
% 0.19/0.37
% 0.19/0.37 % (15759)Memory used [KB]: 743
% 0.19/0.37 % (15759)Time elapsed: 0.003 s
% 0.19/0.37 % (15759)Instructions burned: 2 (million)
% 0.19/0.37 % (15754)Success in time 0.006 s
%------------------------------------------------------------------------------