TSTP Solution File: SYN374+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n008.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 19:26:25 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 52 ( 1 unt; 0 def)
% Number of atoms : 194 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 228 ( 86 ~; 97 |; 19 &)
% ( 19 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 9 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 77 ( 51 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f45,f58,f60,f61,f63,f65,f67,f69,f72,f76]) ).
fof(f76,plain,
( spl6_1
| ~ spl6_5
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f75,f56,f38,f23]) ).
fof(f23,plain,
( spl6_1
<=> ! [X4] : big_p(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f38,plain,
( spl6_5
<=> ! [X3] : ~ big_p(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f56,plain,
( spl6_9
<=> ! [X0] :
( big_p(X0)
| big_p(sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f75,plain,
( ! [X1] : big_p(X1)
| ~ spl6_5
| ~ spl6_9 ),
inference(resolution,[],[f57,f39]) ).
fof(f39,plain,
( ! [X3] : ~ big_p(X3)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f57,plain,
( ! [X0] :
( big_p(sK0(X0))
| big_p(X0) )
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f72,plain,
( ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| ~ spl6_5
| ~ spl6_7 ),
inference(resolution,[],[f39,f48]) ).
fof(f48,plain,
( big_p(sK5)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl6_7
<=> big_p(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f69,plain,
( spl6_5
| ~ spl6_1
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f68,f30,f23,f38]) ).
fof(f30,plain,
( spl6_3
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_p(sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f68,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl6_1
| ~ spl6_3 ),
inference(resolution,[],[f31,f24]) ).
fof(f24,plain,
( ! [X4] : big_p(X4)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f31,plain,
( ! [X0] :
( ~ big_p(sK0(X0))
| ~ big_p(X0) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f67,plain,
( ~ spl6_1
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| ~ spl6_1
| spl6_7 ),
inference(resolution,[],[f49,f24]) ).
fof(f49,plain,
( ~ big_p(sK5)
| spl6_7 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f65,plain,
( ~ spl6_1
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| ~ spl6_1
| spl6_4 ),
inference(resolution,[],[f36,f24]) ).
fof(f36,plain,
( ~ big_p(sK1)
| spl6_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl6_4
<=> big_p(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f63,plain,
( ~ spl6_2
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| ~ spl6_2
| ~ spl6_5 ),
inference(resolution,[],[f39,f28]) ).
fof(f28,plain,
( big_p(sK2)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl6_2
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f61,plain,
( spl6_5
| spl6_1
| spl6_1
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f14,f42,f23,f23,f38]) ).
fof(f42,plain,
( spl6_6
<=> big_p(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f14,plain,
! [X10,X11,X7] :
( ~ big_p(sK3)
| big_p(X10)
| big_p(X7)
| ~ big_p(X11) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ! [X0] :
( ( ~ big_p(sK0(X0))
| ~ big_p(X0) )
& ( big_p(sK0(X0))
| big_p(X0) ) )
| ( ( ~ big_p(sK1)
| ! [X3] : ~ big_p(X3) )
& ( ! [X4] : big_p(X4)
| big_p(sK2) ) ) )
& ( ! [X7] :
( ( big_p(sK3)
| ~ big_p(X7) )
& ( big_p(X7)
| ~ big_p(sK3) ) )
| ( ( big_p(sK4)
| ~ big_p(sK5) )
& ( ! [X10] : big_p(X10)
| ! [X11] : ~ big_p(X11) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) )
=> ( ( ~ big_p(sK0(X0))
| ~ big_p(X0) )
& ( big_p(sK0(X0))
| big_p(X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X2] : ~ big_p(X2)
=> ~ big_p(sK1) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X5] : big_p(X5)
=> big_p(sK2) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X6] :
! [X7] :
( ( big_p(X6)
| ~ big_p(X7) )
& ( big_p(X7)
| ~ big_p(X6) ) )
=> ! [X7] :
( ( big_p(sK3)
| ~ big_p(X7) )
& ( big_p(X7)
| ~ big_p(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X8] : big_p(X8)
=> big_p(sK4) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X9] : ~ big_p(X9)
=> ~ big_p(sK5) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) )
| ( ( ? [X2] : ~ big_p(X2)
| ! [X3] : ~ big_p(X3) )
& ( ! [X4] : big_p(X4)
| ? [X5] : big_p(X5) ) ) )
& ( ? [X6] :
! [X7] :
( ( big_p(X6)
| ~ big_p(X7) )
& ( big_p(X7)
| ~ big_p(X6) ) )
| ( ( ? [X8] : big_p(X8)
| ? [X9] : ~ big_p(X9) )
& ( ! [X10] : big_p(X10)
| ! [X11] : ~ big_p(X11) ) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ! [X2] :
? [X3] :
( ( ~ big_p(X3)
| ~ big_p(X2) )
& ( big_p(X3)
| big_p(X2) ) )
| ( ( ? [X0] : ~ big_p(X0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X0] : big_p(X0)
| ? [X1] : big_p(X1) ) ) )
& ( ? [X2] :
! [X3] :
( ( big_p(X2)
| ~ big_p(X3) )
& ( big_p(X3)
| ~ big_p(X2) ) )
| ( ( ? [X1] : big_p(X1)
| ? [X0] : ~ big_p(X0) )
& ( ! [X0] : big_p(X0)
| ! [X1] : ~ big_p(X1) ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ( ? [X1] : big_p(X1)
<=> ! [X0] : big_p(X0) )
<~> ? [X2] :
! [X3] :
( big_p(X2)
<=> big_p(X3) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ? [X1] : big_p(X1)
<=> ! [X0] : big_p(X0) )
<=> ? [X2] :
! [X3] :
( big_p(X2)
<=> big_p(X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1] : big_p(X1)
<=> ? [X0] : big_p(X0) )
<=> ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X1] : big_p(X1)
<=> ? [X0] : big_p(X0) )
<=> ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2125) ).
fof(f60,plain,
( spl6_2
| spl6_9
| spl6_1 ),
inference(avatar_split_clause,[],[f18,f23,f56,f26]) ).
fof(f18,plain,
! [X0,X4] :
( big_p(X4)
| big_p(X0)
| big_p(sK2)
| big_p(sK0(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f58,plain,
( spl6_5
| ~ spl6_4
| spl6_9 ),
inference(avatar_split_clause,[],[f19,f56,f34,f38]) ).
fof(f19,plain,
! [X3,X0] :
( big_p(X0)
| big_p(sK0(X0))
| ~ big_p(sK1)
| ~ big_p(X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f45,plain,
( spl6_5
| spl6_1
| spl6_6
| spl6_5 ),
inference(avatar_split_clause,[],[f16,f38,f42,f23,f38]) ).
fof(f16,plain,
! [X10,X11,X7] :
( ~ big_p(X7)
| big_p(sK3)
| big_p(X10)
| ~ big_p(X11) ),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
( ~ spl6_4
| spl6_5
| spl6_3 ),
inference(avatar_split_clause,[],[f21,f30,f38,f34]) ).
fof(f21,plain,
! [X3,X0] :
( ~ big_p(X0)
| ~ big_p(sK0(X0))
| ~ big_p(X3)
| ~ big_p(sK1) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:52:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (15851)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (15860)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.49 % (15867)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.49 % (15852)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (15860)First to succeed.
% 0.19/0.49 % (15852)Also succeeded, but the first one will report.
% 0.19/0.49 % (15860)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (15860)------------------------------
% 0.19/0.49 % (15860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (15860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (15860)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (15860)Memory used [KB]: 5884
% 0.19/0.49 % (15860)Time elapsed: 0.054 s
% 0.19/0.49 % (15860)Instructions burned: 2 (million)
% 0.19/0.49 % (15860)------------------------------
% 0.19/0.49 % (15860)------------------------------
% 0.19/0.49 % (15837)Success in time 0.154 s
%------------------------------------------------------------------------------