TSTP Solution File: SYN920+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 19:36:06 EDT 2022
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 1 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 258 ( 91 ~; 89 |; 48 &)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 50 ( 36 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f32,f41,f48,f49,f50,f51,f59,f63,f76]) ).
fof(f76,plain,
( ~ spl2_1
| spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| ~ spl2_1
| spl2_3
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f66,f22]) ).
fof(f22,plain,
( g(sK0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl2_1
<=> g(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f66,plain,
( ~ g(sK0)
| spl2_3
| ~ spl2_5 ),
inference(unit_resulting_resolution,[],[f40,f31,f11]) ).
fof(f11,plain,
! [X4] :
( ~ g(X4)
| h(X4)
| ~ f(X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ! [X0] :
( ~ f(X0)
| g(X0) )
| ! [X1] :
( h(X1)
| ~ f(X1) ) )
& ( ( f(sK0)
& ~ h(sK0)
& g(sK0) )
| ( f(sK1)
& ~ g(sK1) ) )
& ! [X4] :
( h(X4)
| ~ f(X4)
| ~ g(X4) )
& ! [X5] :
( ~ h(X5)
| g(X5)
| ~ f(X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X2] :
( f(X2)
& ~ h(X2)
& g(X2) )
=> ( f(sK0)
& ~ h(sK0)
& g(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X3] :
( f(X3)
& ~ g(X3) )
=> ( f(sK1)
& ~ g(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ! [X0] :
( ~ f(X0)
| g(X0) )
| ! [X1] :
( h(X1)
| ~ f(X1) ) )
& ( ? [X2] :
( f(X2)
& ~ h(X2)
& g(X2) )
| ? [X3] :
( f(X3)
& ~ g(X3) ) )
& ! [X4] :
( h(X4)
| ~ f(X4)
| ~ g(X4) )
& ! [X5] :
( ~ h(X5)
| g(X5)
| ~ f(X5) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ! [X3] :
( ~ f(X3)
| g(X3) )
| ! [X2] :
( h(X2)
| ~ f(X2) ) )
& ( ? [X0] :
( f(X0)
& ~ h(X0)
& g(X0) )
| ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ! [X5] :
( h(X5)
| ~ f(X5)
| ~ g(X5) )
& ! [X4] :
( ~ h(X4)
| g(X4)
| ~ f(X4) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X5] :
( h(X5)
| ~ f(X5)
| ~ g(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& ( ! [X3] :
( ~ f(X3)
| g(X3) )
| ! [X2] :
( h(X2)
| ~ f(X2) ) )
& ( ? [X1] :
( f(X1)
& ~ g(X1) )
| ? [X0] :
( ~ h(X0)
& g(X0)
& f(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X3] :
( f(X3)
=> g(X3) ) )
& ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& ~ h(X5)
& f(X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) ) )
=> ( ! [X3] :
( ( f(X3)
& h(X3) )
=> g(X3) )
=> ? [X4] :
( g(X4)
& f(X4)
& ~ h(X4) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ! [X0] :
( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> h(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) ) )
=> ( ! [X3] :
( ( f(X3)
& h(X3) )
=> g(X3) )
=> ? [X4] :
( g(X4)
& f(X4)
& ~ h(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f31,plain,
( ~ h(sK0)
| spl2_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl2_3
<=> h(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f40,plain,
( f(sK0)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl2_5
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f63,plain,
( spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f61,f60]) ).
fof(f60,plain,
( h(sK1)
| ~ spl2_4
| ~ spl2_7 ),
inference(unit_resulting_resolution,[],[f36,f47]) ).
fof(f47,plain,
( ! [X1] :
( ~ f(X1)
| h(X1) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl2_7
<=> ! [X1] :
( ~ f(X1)
| h(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f36,plain,
( f(sK1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl2_4
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f61,plain,
( ~ h(sK1)
| spl2_2
| ~ spl2_4 ),
inference(unit_resulting_resolution,[],[f36,f26,f10]) ).
fof(f10,plain,
! [X5] :
( ~ h(X5)
| g(X5)
| ~ f(X5) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
( ~ g(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl2_2
<=> g(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f59,plain,
( spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f52,f36]) ).
fof(f52,plain,
( ~ f(sK1)
| spl2_2
| ~ spl2_6 ),
inference(unit_resulting_resolution,[],[f26,f44]) ).
fof(f44,plain,
( ! [X0] :
( ~ f(X0)
| g(X0) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_6
<=> ! [X0] :
( ~ f(X0)
| g(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f51,plain,
( spl2_5
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f16,f24,f38]) ).
fof(f16,plain,
( ~ g(sK1)
| f(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f15,f34,f29]) ).
fof(f15,plain,
( f(sK1)
| ~ h(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
( spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f13,f34,f20]) ).
fof(f13,plain,
( f(sK1)
| g(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
( spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f18,f46,f43]) ).
fof(f18,plain,
! [X0,X1] :
( ~ f(X1)
| ~ f(X0)
| g(X0)
| h(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
( spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f17,f38,f34]) ).
fof(f17,plain,
( f(sK0)
| f(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
( ~ spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f14,f24,f29]) ).
fof(f14,plain,
( ~ g(sK1)
| ~ h(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f12,f24,f20]) ).
fof(f12,plain,
( ~ g(sK1)
| g(sK0) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN920+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.27 % Computer : n024.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Aug 30 22:33:49 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.44 % (27002)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.12/0.44 % (27002)First to succeed.
% 0.12/0.45 % (27022)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.12/0.45 % (27019)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.12/0.45 % (27002)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (27002)------------------------------
% 0.12/0.45 % (27002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.45 % (27002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.45 % (27002)Termination reason: Refutation
% 0.12/0.45
% 0.12/0.45 % (27002)Memory used [KB]: 5884
% 0.12/0.45 % (27002)Time elapsed: 0.108 s
% 0.12/0.45 % (27002)Instructions burned: 2 (million)
% 0.12/0.45 % (27002)------------------------------
% 0.12/0.45 % (27002)------------------------------
% 0.12/0.45 % (26998)Success in time 0.175 s
%------------------------------------------------------------------------------