TSTP Solution File: SYN413+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN413+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 : n010.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 19:37:49 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 79 ( 29 ~; 23 |; 20 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 34 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,plain,
$false,
inference(subsumption_resolution,[],[f21,f23]) ).
fof(f23,plain,
! [X1] : ~ f(sK1(X1),sK1(X1)),
inference(subsumption_resolution,[],[f16,f11]) ).
fof(f11,plain,
! [X2,X4] :
( ~ f(X4,sK1(X2))
| ~ f(X4,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] : f(X1,sK0)
& ! [X2,X4] :
( ( ( f(X4,X2)
& ~ f(X4,X4) )
| ~ f(X4,sK1(X2)) )
& ( f(X4,sK1(X2))
| ~ f(X4,X2)
| f(X4,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1] : f(X1,X0)
=> ! [X1] : f(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
! [X4] :
( ( ( f(X4,X2)
& ~ f(X4,X4) )
| ~ f(X4,X3) )
& ( f(X4,X3)
| ~ f(X4,X2)
| f(X4,X4) ) )
=> ! [X4] :
( ( ( f(X4,X2)
& ~ f(X4,X4) )
| ~ f(X4,sK1(X2)) )
& ( f(X4,sK1(X2))
| ~ f(X4,X2)
| f(X4,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
! [X1] : f(X1,X0)
& ! [X2] :
? [X3] :
! [X4] :
( ( ( f(X4,X2)
& ~ f(X4,X4) )
| ~ f(X4,X3) )
& ( f(X4,X3)
| ~ f(X4,X2)
| f(X4,X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( ( f(X2,X0)
& ~ f(X2,X2) )
| ~ f(X2,X1) )
& ( f(X2,X1)
| ~ f(X2,X0)
| f(X2,X2) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( ( f(X2,X0)
& ~ f(X2,X2) )
| ~ f(X2,X1) )
& ( f(X2,X1)
| ~ f(X2,X0)
| f(X2,X2) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X0)
& ~ f(X2,X2) )
<=> f(X2,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X0)
& ~ f(X2,X2) )
<=> f(X2,X1) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X0)
& ~ f(X2,X2) )
<=> f(X2,X1) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish256) ).
fof(f16,plain,
! [X1] :
( f(sK1(X1),sK1(sK0))
| ~ f(sK1(X1),sK1(X1)) ),
inference(resolution,[],[f14,f11]) ).
fof(f14,plain,
! [X0] :
( f(X0,X0)
| f(X0,sK1(sK0)) ),
inference(resolution,[],[f10,f13]) ).
fof(f13,plain,
! [X1] : f(X1,sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
! [X2,X4] :
( ~ f(X4,X2)
| f(X4,sK1(X2))
| f(X4,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
f(sK1(sK0),sK1(sK0)),
inference(factoring,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN413+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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 21:45:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (16698)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.50 % (16706)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.50 % (16706)First to succeed.
% 0.21/0.50 % (16706)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (16706)------------------------------
% 0.21/0.50 % (16706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (16706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (16706)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (16706)Memory used [KB]: 895
% 0.21/0.50 % (16706)Time elapsed: 0.097 s
% 0.21/0.50 % (16706)Instructions burned: 2 (million)
% 0.21/0.50 % (16706)------------------------------
% 0.21/0.50 % (16706)------------------------------
% 0.21/0.50 % (16690)Success in time 0.148 s
%------------------------------------------------------------------------------