TSTP Solution File: SYN951+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN951+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 : n009.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 19:36:11 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 3 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 93 ( 33 ~; 28 |; 17 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 9 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f26,f27,f28,f30]) ).
fof(f30,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f29]) ).
fof(f29,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f16,f9]) ).
fof(f9,plain,
p(sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( ( ~ b
& b )
| ( q
& ~ q )
| ! [X0] : ~ p(X0) )
& p(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
( ? [X1] : p(X1)
=> p(sK0) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ( ~ b
& b )
| ( q
& ~ q )
| ! [X0] : ~ p(X0) )
& ? [X1] : p(X1) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ( ~ b
& b )
| ( q
& ~ q )
| ! [X1] : ~ p(X1) )
& ? [X0] : p(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ( ? [X0] : p(X0)
=> ( ( q
=> q )
& ( ~ b
| b )
& ? [X1] : p(X1) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] : p(X0)
=> ( ? [X1] : p(X1)
& ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] : p(X0)
=> ( ? [X0] : p(X0)
& ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] : p(X0)
=> ( ? [X0] : p(X0)
& ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f16,plain,
( ! [X0] : ~ p(X0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f15,plain,
( spl1_1
<=> ! [X0] : ~ p(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f28,plain,
( ~ spl1_3
| spl1_2
| spl1_1 ),
inference(avatar_split_clause,[],[f13,f15,f18,f22]) ).
fof(f22,plain,
( spl1_3
<=> b ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f18,plain,
( spl1_2
<=> q ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f13,plain,
! [X0] :
( ~ p(X0)
| q
| ~ b ),
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
( spl1_1
| ~ spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f12,f18,f22,f15]) ).
fof(f12,plain,
! [X0] :
( ~ q
| ~ b
| ~ p(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
( spl1_1
| spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f10,f18,f22,f15]) ).
fof(f10,plain,
! [X0] :
( ~ q
| b
| ~ p(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
( spl1_1
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f11,f22,f18,f15]) ).
fof(f11,plain,
! [X0] :
( b
| q
| ~ p(X0) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN951+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 22:29:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (15755)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.48 % (15763)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.48 % (15763)First to succeed.
% 0.18/0.48 % (15772)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49 % (15763)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (15763)------------------------------
% 0.18/0.49 % (15763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (15763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (15763)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (15763)Memory used [KB]: 5884
% 0.18/0.49 % (15763)Time elapsed: 0.098 s
% 0.18/0.49 % (15763)Instructions burned: 1 (million)
% 0.18/0.49 % (15763)------------------------------
% 0.18/0.49 % (15763)------------------------------
% 0.18/0.49 % (15747)Success in time 0.145 s
%------------------------------------------------------------------------------