TSTP Solution File: SYN367+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN367+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 : n002.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 12:09:55 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 79 ( 31 ~; 18 |; 25 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 33 ( 23 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,plain,
$false,
inference(resolution,[],[f23,f17]) ).
fof(f17,plain,
~ big_q(sK2),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ~ big_r(sK1)
& ~ big_q(sK2)
& ! [X2] :
( ( big_r(X2)
& ~ p )
| sP0(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f9,f11,f10]) ).
fof(f10,plain,
( ? [X0] : ~ big_r(X0)
=> ~ big_r(sK1) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X1] : ~ big_q(X1)
=> ~ big_q(sK2) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X0] : ~ big_r(X0)
& ? [X1] : ~ big_q(X1)
& ! [X2] :
( ( big_r(X2)
& ~ p )
| sP0(X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
( ? [X1] : ~ big_r(X1)
& ? [X2] : ~ big_q(X2)
& ! [X0] :
( ( big_r(X0)
& ~ p )
| sP0(X0) ) ),
inference(definition_folding,[],[f5,f6]) ).
fof(f6,plain,
! [X0] :
( ( big_q(X0)
& p )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,plain,
( ? [X1] : ~ big_r(X1)
& ? [X2] : ~ big_q(X2)
& ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X1] : ~ big_r(X1)
& ? [X2] : ~ big_q(X2)
& ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) )
=> ( ! [X1] : big_r(X1)
| ! [X2] : big_q(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) )
=> ( ! [X0] : big_r(X0)
| ! [X0] : big_q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) )
=> ( ! [X0] : big_r(X0)
| ! [X0] : big_q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).
fof(f23,plain,
! [X0] : big_q(X0),
inference(subsumption_resolution,[],[f14,f21]) ).
fof(f21,plain,
! [X0] : sP0(X0),
inference(resolution,[],[f20,f15]) ).
fof(f15,plain,
! [X2] :
( ~ p
| sP0(X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
p,
inference(resolution,[],[f19,f18]) ).
fof(f18,plain,
~ big_r(sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
! [X0] :
( big_r(X0)
| p ),
inference(resolution,[],[f13,f16]) ).
fof(f16,plain,
! [X2] :
( sP0(X2)
| big_r(X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f13,plain,
! [X0] :
( ~ sP0(X0)
| p ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ( big_q(X0)
& p )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0] :
( big_q(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SYN367+1 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 17:13:08 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (30548)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (30553)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35 % (30551)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)
% 0.11/0.35 % (30552)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 % (30549)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 % (30550)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (30555)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)
% 0.11/0.35 % (30554)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected maximum model sizes of [2]
% 0.11/0.35 Detected maximum model sizes of [2]
% 0.11/0.35 Detected maximum model sizes of [2]
% 0.11/0.35 Detected maximum model sizes of [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (30549)Also succeeded, but the first one will report.
% 0.11/0.35 % (30553)First to succeed.
% 0.11/0.35 % (30552)Also succeeded, but the first one will report.
% 0.11/0.35 % (30555)Also succeeded, but the first one will report.
% 0.11/0.35 % (30550)Also succeeded, but the first one will report.
% 0.11/0.35 % (30551)Also succeeded, but the first one will report.
% 0.11/0.35 % (30554)Also succeeded, but the first one will report.
% 0.11/0.35 % (30553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30548"
% 0.11/0.36 % (30553)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (30553)------------------------------
% 0.11/0.36 % (30553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.36 % (30553)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (30553)Memory used [KB]: 731
% 0.11/0.36 % (30553)Time elapsed: 0.003 s
% 0.11/0.36 % (30553)Instructions burned: 2 (million)
% 0.11/0.36 % (30548)Success in time 0.015 s
%------------------------------------------------------------------------------