TSTP Solution File: SYN939+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN939+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_sat --cores 0 -t %d %s
% Computer : n011.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 19:46:09 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 3 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 211 ( 88 ~; 76 |; 24 &)
% ( 13 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 14 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 66 ( 54 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f38,f46,f51,f52,f56,f60,f62,f65,f67,f69,f73]) ).
fof(f73,plain,
( ~ spl5_3
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| ~ spl5_3
| ~ spl5_6 ),
inference(resolution,[],[f70,f8]) ).
fof(f8,plain,
! [X4] : q(f(X4)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(sK1)
| ~ r(sK0) )
& r(X3) )
| ( p(f(X3))
& ~ p(X2) ) )
& ! [X4] : q(f(X4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6]) ).
fof(f6,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(X1)
| ~ r(X0) )
& r(X3) )
| ( p(f(X3))
& ~ p(X2) ) )
& ! [X4] : q(f(X4)) )
=> ( ! [X3,X2] :
( ~ q(X2)
| ( ( ~ r(sK1)
| ~ r(sK0) )
& r(X3) )
| ( p(f(X3))
& ~ p(X2) ) )
& ! [X4] : q(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ~ r(X1)
| ~ r(X0) )
& r(X3) )
| ( p(f(X3))
& ~ p(X2) ) )
& ! [X4] : q(f(X4)) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
? [X1,X0] :
( ! [X3,X4] :
( ~ q(X3)
| ( ( ~ r(X0)
| ~ r(X1) )
& r(X4) )
| ( p(f(X4))
& ~ p(X3) ) )
& ! [X2] : q(f(X2)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X4,X3] :
( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& q(X3)
& ( p(f(X4))
=> p(X3) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& q(X3)
& ( p(f(X4))
=> p(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& q(X3)
& ( p(f(X4))
=> p(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f70,plain,
( ! [X0] : ~ q(f(X0))
| ~ spl5_3
| ~ spl5_6 ),
inference(resolution,[],[f29,f41]) ).
fof(f41,plain,
( ! [X3] : p(f(X3))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl5_6
<=> ! [X3] : p(f(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f29,plain,
( ! [X2] :
( ~ p(X2)
| ~ q(X2) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl5_3
<=> ! [X2] :
( ~ q(X2)
| ~ p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f69,plain,
( spl5_2
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| spl5_2
| ~ spl5_9 ),
inference(resolution,[],[f26,f55]) ).
fof(f55,plain,
( ! [X3] : r(X3)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl5_9
<=> ! [X3] : r(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f26,plain,
( ~ r(sK0)
| spl5_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl5_2
<=> r(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f67,plain,
( spl5_1
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| spl5_1
| ~ spl5_9 ),
inference(resolution,[],[f55,f22]) ).
fof(f22,plain,
( ~ r(sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl5_1
<=> r(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f65,plain,
( spl5_9
| ~ spl5_3
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f64,f58,f28,f54]) ).
fof(f58,plain,
( spl5_10
<=> ! [X3] :
( p(f(X3))
| r(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f64,plain,
( ! [X0] : r(X0)
| ~ spl5_3
| ~ spl5_10 ),
inference(resolution,[],[f63,f8]) ).
fof(f63,plain,
( ! [X0] :
( ~ q(f(X0))
| r(X0) )
| ~ spl5_3
| ~ spl5_10 ),
inference(resolution,[],[f59,f29]) ).
fof(f59,plain,
( ! [X3] :
( p(f(X3))
| r(X3) )
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,plain,
~ spl5_4,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| ~ spl5_4 ),
inference(resolution,[],[f8,f33]) ).
fof(f33,plain,
( ! [X2] : ~ q(X2)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl5_4
<=> ! [X2] : ~ q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f60,plain,
( ~ spl5_5
| spl5_10 ),
inference(avatar_split_clause,[],[f16,f58,f35]) ).
fof(f35,plain,
( spl5_5
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f16,plain,
! [X3] :
( p(f(X3))
| r(X3)
| ~ sP3 ),
inference(general_splitting,[],[f10,f15_D]) ).
fof(f15,plain,
! [X2] :
( sP3
| ~ q(X2) ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f10,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| p(f(X3)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f56,plain,
( ~ spl5_8
| spl5_9 ),
inference(avatar_split_clause,[],[f18,f54,f48]) ).
fof(f48,plain,
( spl5_8
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f18,plain,
! [X3] :
( r(X3)
| ~ sP4 ),
inference(general_splitting,[],[f9,f17_D]) ).
fof(f17,plain,
! [X2] :
( sP4
| ~ q(X2)
| ~ p(X2) ),
inference(cnf_transformation,[],[f17_D]) ).
fof(f17_D,plain,
( ! [X2] :
( ~ q(X2)
| ~ p(X2) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f9,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| ~ p(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f52,plain,
( spl5_4
| spl5_7 ),
inference(avatar_split_clause,[],[f13,f43,f32]) ).
fof(f43,plain,
( spl5_7
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f13,plain,
! [X2] :
( sP2
| ~ q(X2) ),
inference(cnf_transformation,[],[f13_D]) ).
fof(f13_D,plain,
( ! [X2] : ~ q(X2)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f51,plain,
( spl5_3
| spl5_8 ),
inference(avatar_split_clause,[],[f17,f48,f28]) ).
fof(f46,plain,
( ~ spl5_2
| spl5_6
| ~ spl5_1
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f14,f43,f20,f40,f24]) ).
fof(f14,plain,
! [X3] :
( ~ sP2
| ~ r(sK1)
| p(f(X3))
| ~ r(sK0) ),
inference(general_splitting,[],[f12,f13_D]) ).
fof(f12,plain,
! [X2,X3] :
( ~ q(X2)
| ~ r(sK1)
| ~ r(sK0)
| p(f(X3)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
( spl5_4
| spl5_5 ),
inference(avatar_split_clause,[],[f15,f35,f32]) ).
fof(f30,plain,
( ~ spl5_1
| ~ spl5_2
| spl5_3 ),
inference(avatar_split_clause,[],[f11,f28,f24,f20]) ).
fof(f11,plain,
! [X2] :
( ~ q(X2)
| ~ r(sK0)
| ~ p(X2)
| ~ r(sK1) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN939+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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 23:21:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (23504)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.47 % (23512)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.47 % (23512)First to succeed.
% 0.20/0.48 % (23512)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (23512)------------------------------
% 0.20/0.48 % (23512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (23512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (23512)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (23512)Memory used [KB]: 5373
% 0.20/0.48 % (23512)Time elapsed: 0.089 s
% 0.20/0.48 % (23512)Instructions burned: 2 (million)
% 0.20/0.48 % (23512)------------------------------
% 0.20/0.48 % (23512)------------------------------
% 0.20/0.48 % (23501)Success in time 0.128 s
%------------------------------------------------------------------------------