TSTP Solution File: SYN364+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN364+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 : 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 19:37:41 EDT 2022
% Result : Theorem 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 2 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 153 ( 59 ~; 47 |; 30 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 81 ( 64 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f32,f36,f41,f43,f45]) ).
fof(f45,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl3_2
| ~ spl3_4 ),
inference(resolution,[],[f31,f23]) ).
fof(f23,plain,
( ! [X1] : big_p(X1,X1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl3_2
<=> ! [X1] : big_p(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f31,plain,
( ! [X4] : ~ big_p(g(sK0),X4)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl3_4
<=> ! [X4] : ~ big_p(g(sK0),X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f43,plain,
( ~ spl3_2
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| ~ spl3_2
| spl3_3 ),
inference(subsumption_resolution,[],[f28,f23]) ).
fof(f28,plain,
( ~ big_p(sK0,sK0)
| spl3_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl3_3
<=> big_p(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f41,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f39,f38]) ).
fof(f38,plain,
( ! [X7] : ~ big_q(X7)
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f10,f37]) ).
fof(f37,plain,
( ! [X5] : big_m(X5)
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f11,f35]) ).
fof(f35,plain,
( ! [X2,X0] : ~ big_p(X0,X2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl3_5
<=> ! [X2,X0] : ~ big_p(X0,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f11,plain,
! [X5] :
( big_p(X5,sK1(X5))
| big_m(X5) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] :
( ! [X1] : big_p(X1,X1)
| ! [X2] : ~ big_p(X0,X2) )
& ! [X4] :
( ~ big_p(g(sK0),X4)
| ~ big_p(sK0,sK0) )
& ! [X5] :
( big_p(X5,sK1(X5))
| ( big_q(f(X5,sK1(X5)))
& big_m(X5) ) )
& ! [X7] :
( ~ big_m(g(X7))
| ~ big_q(X7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X3] :
! [X4] :
( ~ big_p(g(X3),X4)
| ~ big_p(X3,X3) )
=> ! [X4] :
( ~ big_p(g(sK0),X4)
| ~ big_p(sK0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X5] :
( ? [X6] :
( big_p(X5,X6)
| ( big_q(f(X5,X6))
& big_m(X5) ) )
=> ( big_p(X5,sK1(X5))
| ( big_q(f(X5,sK1(X5)))
& big_m(X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
( ! [X1] : big_p(X1,X1)
| ! [X2] : ~ big_p(X0,X2) )
& ? [X3] :
! [X4] :
( ~ big_p(g(X3),X4)
| ~ big_p(X3,X3) )
& ! [X5] :
? [X6] :
( big_p(X5,X6)
| ( big_q(f(X5,X6))
& big_m(X5) ) )
& ! [X7] :
( ~ big_m(g(X7))
| ~ big_q(X7) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X0] :
( ! [X2] : big_p(X2,X2)
| ! [X1] : ~ big_p(X0,X1) )
& ? [X6] :
! [X7] :
( ~ big_p(g(X6),X7)
| ~ big_p(X6,X6) )
& ! [X4] :
? [X5] :
( big_p(X4,X5)
| ( big_q(f(X4,X5))
& big_m(X4) ) )
& ! [X3] :
( ~ big_m(g(X3))
| ~ big_q(X3) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6] :
! [X7] :
( ~ big_p(g(X6),X7)
| ~ big_p(X6,X6) )
& ! [X3] :
( ~ big_m(g(X3))
| ~ big_q(X3) )
& ! [X0] :
( ! [X2] : big_p(X2,X2)
| ! [X1] : ~ big_p(X0,X1) )
& ! [X4] :
? [X5] :
( big_p(X4,X5)
| ( big_q(f(X4,X5))
& big_m(X4) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X3] :
( big_q(X3)
=> ~ big_m(g(X3)) )
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) )
& ! [X4] :
? [X5] :
( big_p(X4,X5)
| ( big_q(f(X4,X5))
& big_m(X4) ) ) )
=> ! [X6] :
? [X7] :
( big_p(g(X6),X7)
& big_p(X6,X6) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) )
& ! [X5] :
( big_q(X5)
=> ~ big_m(g(X5)) )
& ! [X3] :
? [X4] :
( ( big_m(X3)
& big_q(f(X3,X4)) )
| big_p(X3,X4) ) )
=> ! [X3] :
? [X4] :
( big_p(g(X3),X4)
& big_p(X3,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) )
& ! [X5] :
( big_q(X5)
=> ~ big_m(g(X5)) )
& ! [X3] :
? [X4] :
( ( big_m(X3)
& big_q(f(X3,X4)) )
| big_p(X3,X4) ) )
=> ! [X3] :
? [X4] :
( big_p(g(X3),X4)
& big_p(X3,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2115) ).
fof(f10,plain,
! [X7] :
( ~ big_m(g(X7))
| ~ big_q(X7) ),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
( ! [X5] : big_q(f(X5,sK1(X5)))
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f12,f35]) ).
fof(f12,plain,
! [X5] :
( big_q(f(X5,sK1(X5)))
| big_p(X5,sK1(X5)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
( spl3_5
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f16,f18,f34]) ).
fof(f18,plain,
( spl3_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f16,plain,
! [X2,X0] :
( ~ sP2
| ~ big_p(X0,X2) ),
inference(general_splitting,[],[f14,f15_D]) ).
fof(f15,plain,
! [X1] :
( big_p(X1,X1)
| sP2 ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
( ! [X1] : big_p(X1,X1)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X2,X0,X1] :
( big_p(X1,X1)
| ~ big_p(X0,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f13,f30,f26]) ).
fof(f13,plain,
! [X4] :
( ~ big_p(g(sK0),X4)
| ~ big_p(sK0,sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f22,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SYN364+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 22:10:46 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.23/0.49 % (30206)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.23/0.49 % (30206)First to succeed.
% 0.23/0.50 % (30206)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Theorem for theBenchmark
% 0.23/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.50 % (30206)------------------------------
% 0.23/0.50 % (30206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.50 % (30206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.50 % (30206)Termination reason: Refutation
% 0.23/0.50
% 0.23/0.50 % (30206)Memory used [KB]: 5373
% 0.23/0.50 % (30206)Time elapsed: 0.083 s
% 0.23/0.50 % (30206)Instructions burned: 2 (million)
% 0.23/0.50 % (30206)------------------------------
% 0.23/0.50 % (30206)------------------------------
% 0.23/0.50 % (30200)Success in time 0.123 s
%------------------------------------------------------------------------------