TSTP Solution File: SYN729+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN729+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 : n026.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 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 121 ( 39 ~; 30 |; 36 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 43 ( 29 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f30,f32]) ).
fof(f32,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f24,f14]) ).
fof(f14,plain,
p(sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] :
( ~ p(X1)
| ~ l(sK0,X1) )
& p(sK0)
& ! [X2] :
( ( p(h(X2))
& p(g(X2)) )
| ~ p(X2) )
& ! [X3] :
( ( p(sK1(X3))
& l(X3,g(h(sK1(X3)))) )
| ~ p(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
( ! [X1] :
( ~ p(X1)
| ~ l(X0,X1) )
& p(X0) )
=> ( ! [X1] :
( ~ p(X1)
| ~ l(sK0,X1) )
& p(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X3] :
( ? [X4] :
( ( p(X4)
& l(X3,g(h(X4))) )
| ~ p(X3) )
=> ( ( p(sK1(X3))
& l(X3,g(h(sK1(X3)))) )
| ~ p(X3) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
( ! [X1] :
( ~ p(X1)
| ~ l(X0,X1) )
& p(X0) )
& ! [X2] :
( ( p(h(X2))
& p(g(X2)) )
| ~ p(X2) )
& ! [X3] :
? [X4] :
( ( p(X4)
& l(X3,g(h(X4))) )
| ~ p(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X3] :
( ! [X4] :
( ~ p(X4)
| ~ l(X3,X4) )
& p(X3) )
& ! [X0] :
( ( p(h(X0))
& p(g(X0)) )
| ~ p(X0) )
& ! [X1] :
? [X2] :
( ( p(X2)
& l(X1,g(h(X2))) )
| ~ p(X1) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X3] :
( ! [X4] :
( ~ p(X4)
| ~ l(X3,X4) )
& p(X3) )
& ! [X0] :
( ( p(h(X0))
& p(g(X0)) )
| ~ p(X0) )
& ! [X1] :
? [X2] :
( ( p(X2)
& l(X1,g(h(X2))) )
| ~ p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( p(X0)
=> ( p(h(X0))
& p(g(X0)) ) )
& ! [X1] :
? [X2] :
( p(X1)
=> ( p(X2)
& l(X1,g(h(X2))) ) ) )
=> ! [X3] :
( p(X3)
=> ? [X4] :
( p(X4)
& l(X3,X4) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2] :
( p(X2)
=> ( p(h(X2))
& p(g(X2)) ) )
& ! [X0] :
? [X1] :
( p(X0)
=> ( p(X1)
& l(X0,g(h(X1))) ) ) )
=> ! [X0] :
( p(X0)
=> ? [X1] :
( p(X1)
& l(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2] :
( p(X2)
=> ( p(h(X2))
& p(g(X2)) ) )
& ! [X0] :
? [X1] :
( p(X0)
=> ( p(X1)
& l(X0,g(h(X1))) ) ) )
=> ! [X0] :
( p(X0)
=> ? [X1] :
( p(X1)
& l(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm72) ).
fof(f24,plain,
( ~ p(sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl2_2
<=> p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f30,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f29]) ).
fof(f29,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f28,f14]) ).
fof(f28,plain,
( ~ p(sK0)
| spl2_1 ),
inference(resolution,[],[f27,f11]) ).
fof(f11,plain,
! [X3] :
( p(sK1(X3))
| ~ p(X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
( ~ p(sK1(sK0))
| spl2_1 ),
inference(resolution,[],[f26,f13]) ).
fof(f13,plain,
! [X2] :
( p(h(X2))
| ~ p(X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
( ~ p(h(sK1(sK0)))
| spl2_1 ),
inference(resolution,[],[f20,f12]) ).
fof(f12,plain,
! [X2] :
( p(g(X2))
| ~ p(X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
( ~ p(g(h(sK1(sK0))))
| spl2_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl2_1
<=> p(g(h(sK1(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f25,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f16,f22,f18]) ).
fof(f16,plain,
( ~ p(sK0)
| ~ p(g(h(sK1(sK0)))) ),
inference(resolution,[],[f10,f15]) ).
fof(f15,plain,
! [X1] :
( ~ l(sK0,X1)
| ~ p(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
! [X3] :
( l(X3,g(h(sK1(X3))))
| ~ p(X3) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN729+1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 13:52:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (16717)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (16720)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)
% 0.15/0.37 % (16721)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (16719)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (16723)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (16718)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (16722)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (16724)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)
% 0.15/0.37 % (16720)First to succeed.
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (16723)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (16720)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16717"
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (16720)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (16720)------------------------------
% 0.15/0.38 % (16720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (16720)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (16720)Memory used [KB]: 747
% 0.15/0.38 % (16720)Time elapsed: 0.003 s
% 0.15/0.38 % (16720)Instructions burned: 3 (million)
% 0.15/0.38 % (16717)Success in time 0.018 s
%------------------------------------------------------------------------------