TSTP Solution File: SYN317+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN317+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 : n016.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 19:26:10 EDT 2022
% Result : Theorem 1.63s 0.57s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 1 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 119 ( 46 ~; 46 |; 9 &)
% ( 9 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 17 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f35,f41,f43,f45,f47,f49]) ).
fof(f49,plain,
( ~ spl3_3
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| ~ spl3_3
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f26,f38]) ).
fof(f38,plain,
( ! [X0] : ~ big_g(X0)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_6
<=> ! [X0] : ~ big_g(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f26,plain,
( big_g(sK0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl3_3
<=> big_g(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f47,plain,
( ~ spl3_4
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| ~ spl3_4
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f30,f38]) ).
fof(f30,plain,
( big_g(sK2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_4
<=> big_g(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f45,plain,
( spl3_2
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| spl3_2
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f22,f34]) ).
fof(f34,plain,
( ! [X1] : big_f(X1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_5
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f22,plain,
( ~ big_f(sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl3_2
<=> big_f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f43,plain,
( spl3_1
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f34,f18]) ).
fof(f18,plain,
( ~ big_f(sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl3_1
<=> big_f(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f41,plain,
( spl3_6
| spl3_6 ),
inference(avatar_split_clause,[],[f12,f37,f37]) ).
fof(f12,plain,
! [X2,X0] :
( ~ big_g(X0)
| ~ big_g(X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ! [X0,X1] :
( big_f(X1)
& ~ big_g(X0) )
| ! [X2] :
( ~ big_g(X2)
& big_f(X2) ) )
& ( ~ big_f(sK1)
| big_g(sK0)
| big_g(sK2)
| ~ big_f(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X3,X4] :
( ~ big_f(X4)
| big_g(X3) )
=> ( ~ big_f(sK1)
| big_g(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X5] :
( big_g(X5)
| ~ big_f(X5) )
=> ( big_g(sK2)
| ~ big_f(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ! [X0,X1] :
( big_f(X1)
& ~ big_g(X0) )
| ! [X2] :
( ~ big_g(X2)
& big_f(X2) ) )
& ( ? [X3,X4] :
( ~ big_f(X4)
| big_g(X3) )
| ? [X5] :
( big_g(X5)
| ~ big_f(X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ! [X1,X2] :
( big_f(X2)
& ~ big_g(X1) )
| ! [X0] :
( ~ big_g(X0)
& big_f(X0) ) )
& ( ? [X1,X2] :
( ~ big_f(X2)
| big_g(X1) )
| ? [X0] :
( big_g(X0)
| ~ big_f(X0) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X0] :
( big_g(X0)
| ~ big_f(X0) )
<~> ? [X1,X2] :
( ~ big_f(X2)
| big_g(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X2,X1] :
( big_f(X2)
=> big_g(X1) )
<=> ? [X0] :
( big_f(X0)
=> big_g(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( big_f(X0)
=> big_g(X0) )
<=> ? [X1,X0] :
( big_f(X0)
=> big_g(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
( big_f(X0)
=> big_g(X0) )
<=> ? [X1,X0] :
( big_f(X0)
=> big_g(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_2_3) ).
fof(f35,plain,
( spl3_5
| spl3_5 ),
inference(avatar_split_clause,[],[f13,f33,f33]) ).
fof(f13,plain,
! [X2,X1] :
( big_f(X2)
| big_f(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f10,f28,f24,f20,f16]) ).
fof(f10,plain,
( big_g(sK2)
| big_g(sK0)
| ~ big_f(sK1)
| ~ big_f(sK2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN317+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n016.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 22:05:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.32/0.56 % (19223)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.63/0.57 % (19223)First to succeed.
% 1.63/0.57 % (19215)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.63/0.57 % (19223)Refutation found. Thanks to Tanya!
% 1.63/0.57 % SZS status Theorem for theBenchmark
% 1.63/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.57 % (19223)------------------------------
% 1.63/0.57 % (19223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (19223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (19223)Termination reason: Refutation
% 1.63/0.57
% 1.63/0.57 % (19223)Memory used [KB]: 5884
% 1.63/0.57 % (19223)Time elapsed: 0.151 s
% 1.63/0.57 % (19223)Instructions burned: 2 (million)
% 1.63/0.57 % (19223)------------------------------
% 1.63/0.57 % (19223)------------------------------
% 1.63/0.57 % (19212)Success in time 0.223 s
%------------------------------------------------------------------------------