TSTP Solution File: SYN722+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 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 18:04:53 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 132 ( 62 ~; 53 |; 16 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,plain,
$false,
inference(subsumption_resolution,[],[f15,f14]) ).
fof(f14,plain,
! [X0] : p(X0),
inference(subsumption_resolution,[],[f13,f8]) ).
fof(f8,plain,
! [X2] : q(X2),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( ~ p(b)
| ~ p(a) )
& ! [X0] :
( ~ q(d)
| ~ q(c)
| ~ q(sK0(X0))
| ~ q(X0)
| p(X0) )
& ! [X2] : q(X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
! [X0] :
( ? [X1] :
( ~ q(d)
| ~ q(c)
| ~ q(X1)
| ~ q(X0)
| p(X0) )
=> ( ~ q(d)
| ~ q(c)
| ~ q(sK0(X0))
| ~ q(X0)
| p(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ( ~ p(b)
| ~ p(a) )
& ! [X0] :
? [X1] :
( ~ q(d)
| ~ q(c)
| ~ q(X1)
| ~ q(X0)
| p(X0) )
& ! [X2] : q(X2) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
( ( ~ p(b)
| ~ p(a) )
& ! [X0] :
? [X1] :
( ~ q(d)
| ~ q(c)
| ~ q(X1)
| ~ q(X0)
| p(X0) )
& ! [X2] :
( q(X2)
& ( r(X2)
| p(X2) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ( ( ~ p(b)
| ~ p(a) )
& ! [X0] :
? [X1] :
( ~ q(d)
| ~ q(c)
| ~ q(X1)
| ~ q(X0)
| p(X0) )
& ! [X2] :
( q(X2)
& ( r(X2)
| p(X2) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ p(b)
| ~ p(a) )
& ! [X1] :
? [X2] :
( ~ q(d)
| ~ q(c)
| ~ q(X2)
| ~ q(X1)
| p(X1) )
& ! [X0] :
( q(X0)
& ( r(X0)
| p(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ( ( ~ p(b)
| ~ p(a) )
& ! [X1] :
? [X2] :
( ~ q(d)
| ~ q(c)
| ~ q(X2)
| ~ q(X1)
| p(X1) )
& ! [X0] :
( q(X0)
& ( r(X0)
| p(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm119) ).
fof(f13,plain,
! [X0] :
( ~ q(X0)
| p(X0) ),
inference(subsumption_resolution,[],[f12,f8]) ).
fof(f12,plain,
! [X0] :
( ~ q(sK0(X0))
| ~ q(X0)
| p(X0) ),
inference(subsumption_resolution,[],[f11,f8]) ).
fof(f11,plain,
! [X0] :
( ~ q(c)
| ~ q(sK0(X0))
| ~ q(X0)
| p(X0) ),
inference(subsumption_resolution,[],[f9,f8]) ).
fof(f9,plain,
! [X0] :
( ~ q(d)
| ~ q(c)
| ~ q(sK0(X0))
| ~ q(X0)
| p(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
~ p(a),
inference(resolution,[],[f14,f10]) ).
fof(f10,plain,
( ~ p(b)
| ~ p(a) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:41:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.36 % (8301)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (8303)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (8304)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)
% 0.22/0.38 % (8302)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (8305)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (8306)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (8307)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (8308)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 % (8306)First to succeed.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 % (8304)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [5]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [5]
% 0.22/0.38 TRYING [5]
% 0.22/0.38 TRYING [5]
% 0.22/0.38 TRYING [6]
% 0.22/0.38 TRYING [6]
% 0.22/0.38 % (8306)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (8306)------------------------------
% 0.22/0.38 % (8306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (8306)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (8306)Memory used [KB]: 731
% 0.22/0.38 % (8306)Time elapsed: 0.003 s
% 0.22/0.38 % (8306)Instructions burned: 2 (million)
% 0.22/0.38 % (8306)------------------------------
% 0.22/0.38 % (8306)------------------------------
% 0.22/0.38 % (8301)Success in time 0.006 s
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