TSTP Solution File: SYN373+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN373+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 : n012.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 12:09:56 EDT 2024
% Result : Theorem 0.14s 0.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 82 ( 29 ~; 28 |; 12 &)
% ( 3 <=>; 9 =>; 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 : 41 ( 20 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f16]) ).
fof(f16,plain,
! [X2,X0] :
( ~ big_q(X0)
| ~ big_q(X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ( ! [X0] : ~ big_q(X0)
& ! [X1] : big_p(X1) )
| ! [X2] :
( ~ big_q(X2)
& big_p(X2) ) )
& ( big_q(sK0)
| ~ big_p(sK1)
| big_q(sK2)
| ~ big_p(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).
fof(f8,plain,
( ? [X3] : big_q(X3)
=> big_q(sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X4] : ~ big_p(X4)
=> ~ big_p(sK1) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X5] :
( big_q(X5)
| ~ big_p(X5) )
=> ( big_q(sK2)
| ~ big_p(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ( ( ! [X0] : ~ big_q(X0)
& ! [X1] : big_p(X1) )
| ! [X2] :
( ~ big_q(X2)
& big_p(X2) ) )
& ( ? [X3] : big_q(X3)
| ? [X4] : ~ big_p(X4)
| ? [X5] :
( big_q(X5)
| ~ big_p(X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
( ( ( ! [X2] : ~ big_q(X2)
& ! [X1] : big_p(X1) )
| ! [X0] :
( ~ big_q(X0)
& big_p(X0) ) )
& ( ? [X2] : big_q(X2)
| ? [X1] : ~ big_p(X1)
| ? [X0] :
( big_q(X0)
| ~ big_p(X0) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( ( ! [X2] : ~ big_q(X2)
& ! [X1] : big_p(X1) )
| ! [X0] :
( ~ big_q(X0)
& big_p(X0) ) )
& ( ? [X2] : big_q(X2)
| ? [X1] : ~ big_p(X1)
| ? [X0] :
( big_q(X0)
| ~ big_p(X0) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X0] :
( big_q(X0)
| ~ big_p(X0) )
<~> ( ? [X2] : big_q(X2)
| ? [X1] : ~ big_p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
( big_p(X0)
=> big_q(X0) )
<=> ( ! [X1] : big_p(X1)
=> ? [X2] : big_q(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( big_p(X0)
=> big_q(X0) )
<=> ( ! [X0] : big_p(X0)
=> ? [X0] : big_q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
( big_p(X0)
=> big_q(X0) )
<=> ( ! [X0] : big_p(X0)
=> ? [X0] : big_q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2124) ).
fof(f20,plain,
big_q(sK2),
inference(subsumption_resolution,[],[f19,f16]) ).
fof(f19,plain,
( big_q(sK0)
| big_q(sK2) ),
inference(subsumption_resolution,[],[f18,f17]) ).
fof(f17,plain,
! [X0] : big_p(X0),
inference(factoring,[],[f13]) ).
fof(f13,plain,
! [X2,X1] :
( big_p(X1)
| big_p(X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
( big_q(sK0)
| big_q(sK2)
| ~ big_p(sK2) ),
inference(subsumption_resolution,[],[f12,f17]) ).
fof(f12,plain,
( big_q(sK0)
| ~ big_p(sK1)
| big_q(sK2)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN373+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n012.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 17:49:08 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (10086)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (10089)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)
% 0.14/0.31 % (10091)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.31 % (10087)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.31 % (10092)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.31 % (10088)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.31 % (10090)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.31 Detected minimum model sizes of [1]
% 0.14/0.31 Detected maximum model sizes of [3]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 Detected minimum model sizes of [1]
% 0.14/0.31 Detected maximum model sizes of [3]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 % (10091)First to succeed.
% 0.14/0.31 % (10092)Also succeeded, but the first one will report.
% 0.14/0.31 TRYING [3]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 % (10093)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)
% 0.14/0.31 Detected minimum model sizes of [1]
% 0.14/0.31 Detected maximum model sizes of [3]
% 0.14/0.31 % (10087)Also succeeded, but the first one will report.
% 0.14/0.31 TRYING [1]
% 0.14/0.31 % (10089)Also succeeded, but the first one will report.
% 0.14/0.31 TRYING [3]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 % (10091)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10086"
% 0.14/0.31 % (10088)Also succeeded, but the first one will report.
% 0.14/0.31 TRYING [3]
% 0.14/0.31 % (10090)Also succeeded, but the first one will report.
% 0.14/0.31 Detected minimum model sizes of [1]
% 0.14/0.31 Detected maximum model sizes of [3]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [3]
% 0.14/0.31 % (10093)Also succeeded, but the first one will report.
% 0.14/0.31 % (10091)Refutation found. Thanks to Tanya!
% 0.14/0.31 % SZS status Theorem for theBenchmark
% 0.14/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.31 % (10091)------------------------------
% 0.14/0.31 % (10091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (10091)Termination reason: Refutation
% 0.14/0.31
% 0.14/0.31 % (10091)Memory used [KB]: 743
% 0.14/0.31 % (10091)Time elapsed: 0.003 s
% 0.14/0.31 % (10091)Instructions burned: 2 (million)
% 0.14/0.31 % (10086)Success in time 0.014 s
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