TSTP Solution File: SYN950+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN950+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 12:18:30 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 2 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 85 ( 30 ~; 26 |; 17 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f23,f35,f36]) ).
fof(f36,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f11,f28,f13]) ).
fof(f13,plain,
( spl2_1
<=> p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f28,plain,
( spl2_4
<=> p(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f11,plain,
( ~ p(sK1)
| ~ p(sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X2] :
( ( ~ p(sK1)
& q(X2) )
| ( ~ p(sK0)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p(X1)
& q(X2) )
| ( ~ p(X0)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) )
=> ( ! [X2] :
( ( ~ p(sK1)
& q(X2) )
| ( ~ p(sK0)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ p(X1)
& q(X2) )
| ( ~ p(X0)
& p(X2) ) )
& ! [X3] :
( p(X3)
| ~ q(X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X3] :
( ( ~ p(X1)
& q(X3) )
| ( ~ p(X0)
& p(X3) ) )
& ! [X2] :
( p(X2)
| ~ q(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] :
( q(X2)
=> p(X2) )
=> ? [X3] :
( ( q(X3)
=> p(X1) )
& ( p(X3)
=> p(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f35,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f34,plain,
( $false
| ~ spl2_2
| spl2_4 ),
inference(resolution,[],[f33,f18]) ).
fof(f18,plain,
( ! [X2] : q(X2)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl2_2
<=> ! [X2] : q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f33,plain,
( ~ q(sK1)
| spl2_4 ),
inference(resolution,[],[f30,f7]) ).
fof(f7,plain,
! [X3] :
( p(X3)
| ~ q(X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
( ~ p(sK1)
| spl2_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f23,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f22]) ).
fof(f22,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f21,f20]) ).
fof(f20,plain,
( q(sK0)
| spl2_1 ),
inference(resolution,[],[f15,f8]) ).
fof(f8,plain,
! [X2] :
( p(X2)
| q(X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
( ~ p(sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f21,plain,
( ~ q(sK0)
| spl2_1 ),
inference(resolution,[],[f15,f7]) ).
fof(f19,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f9,f17,f13]) ).
fof(f9,plain,
! [X2] :
( q(X2)
| ~ p(sK0) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : SYN950+1 : TPTP v8.1.2. Released v3.1.0.
% 0.15/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.38 % Computer : n024.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Fri May 3 17:55:38 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.22/0.39 % (2705)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (2708)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)
% 0.22/0.40 % (2711)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.40 % (2709)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.40 % (2706)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.40 % (2710)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.40 % (2707)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40 % (2712)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)
% 0.22/0.41 % (2708)First to succeed.
% 0.22/0.41 Detected minimum model sizes of [1]
% 0.22/0.41 Detected minimum model sizes of [1]
% 0.22/0.41 Detected minimum model sizes of [1]
% 0.22/0.41 Detected maximum model sizes of [2]
% 0.22/0.41 Detected maximum model sizes of [2]
% 0.22/0.41 Detected minimum model sizes of [1]
% 0.22/0.41 Detected maximum model sizes of [2]
% 0.22/0.41 Detected maximum model sizes of [2]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 % (2710)Also succeeded, but the first one will report.
% 0.22/0.41 % (2709)Also succeeded, but the first one will report.
% 0.22/0.41 % (2707)Also succeeded, but the first one will report.
% 0.22/0.41 % (2706)Also succeeded, but the first one will report.
% 0.22/0.41 % (2711)Also succeeded, but the first one will report.
% 0.22/0.41 % (2708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2705"
% 0.22/0.41 % (2712)Also succeeded, but the first one will report.
% 0.22/0.41 % (2708)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (2708)------------------------------
% 0.22/0.41 % (2708)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (2708)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (2708)Memory used [KB]: 745
% 0.22/0.41 % (2708)Time elapsed: 0.004 s
% 0.22/0.41 % (2708)Instructions burned: 3 (million)
% 0.22/0.41 % (2705)Success in time 0.007 s
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