TSTP Solution File: SYN728+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN728+1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 May 21 08:37:25 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 106 ( 36 ~; 29 |; 30 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 70 ( 53 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(subsumption_resolution,[],[f22,f19]) ).
fof(f19,plain,
! [X0] : m(X0),
inference(resolution,[],[f17,f15]) ).
fof(f15,plain,
! [X0,X1] :
( p(X1,X1)
| m(X0) ),
inference(resolution,[],[f11,f10]) ).
fof(f10,plain,
! [X6,X7,X5] :
( ~ p(X5,X7)
| p(X6,X6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] :
( ~ p(sK0,sK0)
| ~ p(g(sK0),X1) )
& ! [X2] :
( ~ m(g(X2))
| ~ q(X2) )
& ! [X3] :
( ( q(f(X3,sK1(X3)))
& m(X3) )
| p(X3,sK1(X3)) )
& ! [X5] :
( ! [X6] : p(X6,X6)
| ! [X7] : ~ p(X5,X7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1] :
( ~ p(X0,X0)
| ~ p(g(X0),X1) )
=> ! [X1] :
( ~ p(sK0,sK0)
| ~ p(g(sK0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X3] :
( ? [X4] :
( ( q(f(X3,X4))
& m(X3) )
| p(X3,X4) )
=> ( ( q(f(X3,sK1(X3)))
& m(X3) )
| p(X3,sK1(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
! [X1] :
( ~ p(X0,X0)
| ~ p(g(X0),X1) )
& ! [X2] :
( ~ m(g(X2))
| ~ q(X2) )
& ! [X3] :
? [X4] :
( ( q(f(X3,X4))
& m(X3) )
| p(X3,X4) )
& ! [X5] :
( ! [X6] : p(X6,X6)
| ! [X7] : ~ p(X5,X7) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X6] :
! [X7] :
( ~ p(X6,X6)
| ~ p(g(X6),X7) )
& ! [X0] :
( ~ m(g(X0))
| ~ q(X0) )
& ! [X1] :
? [X2] :
( ( q(f(X1,X2))
& m(X1) )
| p(X1,X2) )
& ! [X3] :
( ! [X5] : p(X5,X5)
| ! [X4] : ~ p(X3,X4) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6] :
! [X7] :
( ~ p(X6,X6)
| ~ p(g(X6),X7) )
& ! [X0] :
( ~ m(g(X0))
| ~ q(X0) )
& ! [X1] :
? [X2] :
( ( q(f(X1,X2))
& m(X1) )
| p(X1,X2) )
& ! [X3] :
( ! [X5] : p(X5,X5)
| ! [X4] : ~ p(X3,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( q(X0)
=> ~ m(g(X0)) )
& ! [X1] :
? [X2] :
( ( q(f(X1,X2))
& m(X1) )
| p(X1,X2) )
& ! [X3] :
( ? [X4] : p(X3,X4)
=> ! [X5] : p(X5,X5) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X5] :
( q(X5)
=> ~ m(g(X5)) )
& ! [X3] :
? [X4] :
( ( q(f(X3,X4))
& m(X3) )
| p(X3,X4) )
& ! [X0] :
( ? [X1] : p(X0,X1)
=> ! [X2] : p(X2,X2) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X5] :
( q(X5)
=> ~ m(g(X5)) )
& ! [X3] :
? [X4] :
( ( q(f(X3,X4))
& m(X3) )
| p(X3,X4) )
& ! [X0] :
( ? [X1] : p(X0,X1)
=> ! [X2] : p(X2,X2) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69) ).
fof(f11,plain,
! [X3] :
( p(X3,sK1(X3))
| m(X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X1] : ~ p(g(sK0),X1),
inference(subsumption_resolution,[],[f14,f10]) ).
fof(f14,plain,
! [X1] :
( ~ p(sK0,sK0)
| ~ p(g(sK0),X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
~ m(g(f(g(sK0),sK1(g(sK0))))),
inference(resolution,[],[f21,f13]) ).
fof(f13,plain,
! [X2] :
( ~ q(X2)
| ~ m(g(X2)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
q(f(g(sK0),sK1(g(sK0)))),
inference(resolution,[],[f12,f17]) ).
fof(f12,plain,
! [X3] :
( p(X3,sK1(X3))
| q(f(X3,sK1(X3))) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN728+1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.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 : Mon May 20 15:44:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (25462)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (25466)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [5]
% 0.13/0.37 TRYING [6]
% 0.13/0.37 TRYING [7]
% 0.13/0.37 % (25463)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (25464)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (25465)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 % (25467)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (25468)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (25469)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 TRYING [1]
% 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 % (25467)First to succeed.
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (25465)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (25468)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (25467)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25462"
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [8]
% 0.13/0.37 % (25467)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (25467)------------------------------
% 0.13/0.37 % (25467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (25467)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (25467)Memory used [KB]: 745
% 0.13/0.37 % (25467)Time elapsed: 0.003 s
% 0.13/0.37 % (25467)Instructions burned: 3 (million)
% 0.13/0.37 % (25462)Success in time 0.018 s
%------------------------------------------------------------------------------