TSTP Solution File: SYN347+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN347+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_sat --cores 0 -t %d %s
% Computer : n004.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 19:37:37 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 1 unt; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 263 ( 96 ~; 107 |; 41 &)
% ( 15 <=>; 2 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 55 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f28,f32,f36,f48,f74]) ).
fof(f74,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| ~ spl3_3
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f71,f69]) ).
fof(f69,plain,
( big_f(sK0,sK2(sK1,sK0))
| ~ spl3_3 ),
inference(factoring,[],[f51]) ).
fof(f51,plain,
( ! [X0] :
( big_f(X0,sK2(sK1,X0))
| big_f(sK0,sK2(sK1,X0)) )
| ~ spl3_3 ),
inference(resolution,[],[f27,f15]) ).
fof(f15,plain,
! [X2,X3] :
( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X2,X3] :
( ( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) )
& ( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) )
& ( big_f(X2,sK2(X2,X3))
| big_f(X3,sK2(X2,X3)) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
& ( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X4)
| ~ big_f(X0,X4) )
& ( big_f(X1,X4)
| big_f(X0,X4) )
& ( ~ big_f(X0,X1)
| ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) ) )
& ( big_f(X0,X1)
| ( ( big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X4) ) ) ) )
=> ! [X3,X2] :
? [X4] :
( ( ~ big_f(sK1,X4)
| ~ big_f(sK0,X4) )
& ( big_f(sK1,X4)
| big_f(sK0,X4) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X4) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ big_f(sK1,X4)
| ~ big_f(sK0,X4) )
& ( big_f(sK1,X4)
| big_f(sK0,X4) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X4) ) ) ) )
=> ( ( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) )
& ( big_f(sK1,sK2(X2,X3))
| big_f(sK0,sK2(X2,X3)) )
& ( ~ big_f(sK0,sK1)
| ( ( ~ big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) )
& ( big_f(X2,sK2(X2,X3))
| big_f(X3,sK2(X2,X3)) ) ) )
& ( big_f(sK0,sK1)
| ( ( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
& ( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X1,X4)
| ~ big_f(X0,X4) )
& ( big_f(X1,X4)
| big_f(X0,X4) )
& ( ~ big_f(X0,X1)
| ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) ) )
& ( big_f(X0,X1)
| ( ( big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X4) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
? [X1,X0] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X0,X4)
| ~ big_f(X1,X4) )
& ( big_f(X0,X4)
| big_f(X1,X4) )
& ( ~ big_f(X1,X0)
| ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) ) )
& ( big_f(X1,X0)
| ( ( big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X4) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X1,X0] :
! [X2,X3] :
? [X4] :
( ( ~ big_f(X0,X4)
| ~ big_f(X1,X4) )
& ( big_f(X0,X4)
| big_f(X1,X4) )
& ( ~ big_f(X1,X0)
| ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) ) )
& ( big_f(X1,X0)
| ( ( big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X4) ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X1,X0] :
! [X2,X3] :
? [X4] :
( ( big_f(X1,X4)
<~> big_f(X0,X4) )
& ( ( big_f(X3,X4)
<=> big_f(X2,X4) )
<~> big_f(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( big_f(X1,X0)
<=> ( big_f(X3,X4)
<=> big_f(X2,X4) ) )
| ( big_f(X0,X4)
<=> big_f(X1,X4) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X0,X4) )
| ( big_f(X0,X1)
<=> ( big_f(X3,X4)
<=> big_f(X2,X4) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
? [X2,X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X0,X4) )
| ( big_f(X0,X1)
<=> ( big_f(X3,X4)
<=> big_f(X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_3) ).
fof(f27,plain,
( ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl3_3
<=> ! [X2,X3] :
( ~ big_f(X2,sK2(X2,X3))
| big_f(X3,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f71,plain,
( ~ big_f(sK0,sK2(sK1,sK0))
| ~ spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f70,f16]) ).
fof(f16,plain,
! [X2,X3] :
( ~ big_f(sK1,sK2(X2,X3))
| ~ big_f(sK0,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f70,plain,
( big_f(sK1,sK2(sK1,sK0))
| ~ spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f69,f31]) ).
fof(f31,plain,
( ! [X2,X3] :
( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl3_4
<=> ! [X2,X3] :
( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f48,plain,
( ~ spl3_1
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| ~ spl3_1
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f46,f19]) ).
fof(f19,plain,
( ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl3_1
<=> ! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f46,plain,
( ! [X0] : big_f(X0,sK2(X0,X0))
| ~ spl3_5 ),
inference(factoring,[],[f35]) ).
fof(f35,plain,
( ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl3_5
<=> ! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f36,plain,
( ~ spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f13,f34,f21]) ).
fof(f21,plain,
( spl3_2
<=> big_f(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f13,plain,
! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| ~ big_f(sK0,sK1)
| big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f11,f30,f21]) ).
fof(f11,plain,
! [X2,X3] :
( big_f(X2,sK2(X2,X3))
| big_f(sK0,sK1)
| ~ big_f(X3,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f12,f21,f26]) ).
fof(f12,plain,
! [X2,X3] :
( big_f(sK0,sK1)
| ~ big_f(X2,sK2(X2,X3))
| big_f(X3,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f14,f21,f18]) ).
fof(f14,plain,
! [X2,X3] :
( ~ big_f(sK0,sK1)
| ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.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 21:43:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (5436)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.46 % (5428)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.46 % (5436)First to succeed.
% 0.19/0.46 % (5428)Instruction limit reached!
% 0.19/0.46 % (5428)------------------------------
% 0.19/0.46 % (5428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (5428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (5428)Termination reason: Unknown
% 0.19/0.46 % (5428)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (5428)Memory used [KB]: 5373
% 0.19/0.46 % (5428)Time elapsed: 0.075 s
% 0.19/0.46 % (5428)Instructions burned: 2 (million)
% 0.19/0.46 % (5428)------------------------------
% 0.19/0.46 % (5428)------------------------------
% 0.19/0.47 % (5436)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (5436)------------------------------
% 0.19/0.47 % (5436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (5436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (5436)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (5436)Memory used [KB]: 5373
% 0.19/0.47 % (5436)Time elapsed: 0.075 s
% 0.19/0.47 % (5436)Instructions burned: 3 (million)
% 0.19/0.47 % (5436)------------------------------
% 0.19/0.47 % (5436)------------------------------
% 0.19/0.47 % (5419)Success in time 0.125 s
%------------------------------------------------------------------------------