TSTP Solution File: SYN918+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN918+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 : n018.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 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 1 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 239 ( 91 ~; 88 |; 38 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 55 ( 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f32,f44,f45,f46,f54,f58,f61,f72]) ).
fof(f72,plain,
( ~ spl1_2
| ~ spl1_4
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| ~ spl1_2
| ~ spl1_4
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f62,f36]) ).
fof(f36,plain,
( ! [X0] : g(X0)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl1_5
<=> ! [X0] : g(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f62,plain,
( ! [X0] : ~ g(X0)
| ~ spl1_2
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f23,f31,f10]) ).
fof(f10,plain,
! [X2] :
( ~ g(X2)
| ~ f(X2)
| h(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X0] :
( ( f(sK0)
& ~ g(sK0) )
| ( g(X0)
& ~ h(X0)
& f(X0) ) )
& ! [X2] :
( ~ f(X2)
| h(X2)
| ~ g(X2) )
& ! [X3] :
( ~ h(X3)
| ~ f(X3)
| g(X3) )
& ( ! [X4] :
( ~ f(X4)
| g(X4) )
| ! [X5] :
( ~ f(X5)
| h(X5) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X1] :
( f(X1)
& ~ g(X1) )
=> ( f(sK0)
& ~ g(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( g(X0)
& ~ h(X0)
& f(X0) ) )
& ! [X2] :
( ~ f(X2)
| h(X2)
| ~ g(X2) )
& ! [X3] :
( ~ h(X3)
| ~ f(X3)
| g(X3) )
& ( ! [X4] :
( ~ f(X4)
| g(X4) )
| ! [X5] :
( ~ f(X5)
| h(X5) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( g(X0)
& ~ h(X0)
& f(X0) ) )
& ! [X5] :
( ~ f(X5)
| h(X5)
| ~ g(X5) )
& ! [X4] :
( ~ h(X4)
| ~ f(X4)
| g(X4) )
& ( ! [X2] :
( ~ f(X2)
| g(X2) )
| ! [X3] :
( ~ f(X3)
| h(X3) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
( ! [X5] :
( ~ f(X5)
| h(X5)
| ~ g(X5) )
& ! [X4] :
( g(X4)
| ~ h(X4)
| ~ f(X4) )
& ( ! [X2] :
( ~ f(X2)
| g(X2) )
| ! [X3] :
( ~ f(X3)
| h(X3) ) )
& ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( ~ h(X0)
& g(X0)
& f(X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& ~ h(X5)
& f(X5) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& ~ h(X5)
& f(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f31,plain,
( ! [X0] : f(X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl1_4
<=> ! [X0] : f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f23,plain,
( ! [X0] : ~ h(X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl1_2
<=> ! [X0] : ~ h(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f61,plain,
( spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl1_3
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f27,f31]) ).
fof(f27,plain,
( ~ f(sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl1_3
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f58,plain,
( spl1_1
| ~ spl1_3
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl1_1
| ~ spl1_3
| ~ spl1_7 ),
inference(subsumption_resolution,[],[f56,f55]) ).
fof(f55,plain,
( h(sK0)
| ~ spl1_3
| ~ spl1_7 ),
inference(unit_resulting_resolution,[],[f28,f43]) ).
fof(f43,plain,
( ! [X5] :
( ~ f(X5)
| h(X5) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl1_7
<=> ! [X5] :
( ~ f(X5)
| h(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f28,plain,
( f(sK0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f56,plain,
( ~ h(sK0)
| spl1_1
| ~ spl1_3 ),
inference(unit_resulting_resolution,[],[f20,f28,f9]) ).
fof(f9,plain,
! [X3] :
( ~ h(X3)
| ~ f(X3)
| g(X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f20,plain,
( ~ g(sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl1_1
<=> g(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f54,plain,
( spl1_1
| ~ spl1_3
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| spl1_1
| ~ spl1_3
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f48,f20]) ).
fof(f48,plain,
( g(sK0)
| ~ spl1_3
| ~ spl1_6 ),
inference(unit_resulting_resolution,[],[f28,f40]) ).
fof(f40,plain,
( ! [X4] :
( ~ f(X4)
| g(X4) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl1_6
<=> ! [X4] :
( g(X4)
| ~ f(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f46,plain,
( ~ spl1_1
| spl1_5 ),
inference(avatar_split_clause,[],[f13,f35,f18]) ).
fof(f13,plain,
! [X0] :
( g(X0)
| ~ g(sK0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
( spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f11,f18,f30]) ).
fof(f11,plain,
! [X0] :
( ~ g(sK0)
| f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f44,plain,
( spl1_6
| spl1_7 ),
inference(avatar_split_clause,[],[f8,f42,f39]) ).
fof(f8,plain,
! [X4,X5] :
( ~ f(X5)
| h(X5)
| g(X4)
| ~ f(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f14,f30,f26]) ).
fof(f14,plain,
! [X0] :
( f(X0)
| f(sK0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f12,f22,f18]) ).
fof(f12,plain,
! [X0] :
( ~ h(X0)
| ~ g(sK0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 22:35:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (23445)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)
% 0.20/0.54 % (23445)First to succeed.
% 0.20/0.54 % (23445)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (23445)------------------------------
% 0.20/0.54 % (23445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23445)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (23445)Memory used [KB]: 6012
% 0.20/0.54 % (23445)Time elapsed: 0.105 s
% 0.20/0.54 % (23445)Instructions burned: 2 (million)
% 0.20/0.54 % (23445)------------------------------
% 0.20/0.54 % (23445)------------------------------
% 0.20/0.54 % (23441)Success in time 0.186 s
%------------------------------------------------------------------------------