TSTP Solution File: LCL664+1.001 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : n026.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 17:49:21 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 300 ( 135 ~; 128 |; 32 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 112 ( 80 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(subsumption_resolution,[],[f30,f21]) ).
fof(f21,plain,
~ p12(sK4),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( r1(sK0,sK1)
& ! [X2] :
( ~ r1(sK0,X2)
| p12(X2) )
& r1(sK0,sK2)
& r1(sK0,sK3)
& ~ p12(sK4)
& r1(sK0,sK4)
& ! [X6] :
( p12(X6)
| ~ r1(sK0,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f12,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
( ? [X0] :
( ? [X1] : r1(X0,X1)
& ! [X2] :
( ~ r1(X0,X2)
| p12(X2) )
& ? [X3] : r1(X0,X3)
& ? [X4] : r1(X0,X4)
& ? [X5] :
( ~ p12(X5)
& r1(X0,X5) )
& ! [X6] :
( p12(X6)
| ~ r1(X0,X6) ) )
=> ( ? [X1] : r1(sK0,X1)
& ! [X2] :
( ~ r1(sK0,X2)
| p12(X2) )
& ? [X3] : r1(sK0,X3)
& ? [X4] : r1(sK0,X4)
& ? [X5] :
( ~ p12(X5)
& r1(sK0,X5) )
& ! [X6] :
( p12(X6)
| ~ r1(sK0,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X1] : r1(sK0,X1)
=> r1(sK0,sK1) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X3] : r1(sK0,X3)
=> r1(sK0,sK2) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X4] : r1(sK0,X4)
=> r1(sK0,sK3) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X5] :
( ~ p12(X5)
& r1(sK0,X5) )
=> ( ~ p12(sK4)
& r1(sK0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0] :
( ? [X1] : r1(X0,X1)
& ! [X2] :
( ~ r1(X0,X2)
| p12(X2) )
& ? [X3] : r1(X0,X3)
& ? [X4] : r1(X0,X4)
& ? [X5] :
( ~ p12(X5)
& r1(X0,X5) )
& ! [X6] :
( p12(X6)
| ~ r1(X0,X6) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
? [X0] :
( ? [X6] : r1(X0,X6)
& ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
& ? [X7] : r1(X0,X7)
& ? [X8] : r1(X0,X8)
& ? [X5] :
( ~ p12(X5)
& r1(X0,X5) )
& ! [X2] :
( p12(X2)
| ~ r1(X0,X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
? [X0] :
~ ( ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ! [X6] : ~ r1(X0,X6)
| ! [X8] : ~ r1(X0,X8)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] : ~ r1(X0,X7) ),
inference(pure_predicate_removal,[],[f9]) ).
fof(f9,plain,
? [X0] :
~ ( ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ~ ! [X3] :
( p16(X3)
| ~ r1(X0,X3) )
| ! [X6] : ~ r1(X0,X6)
| ! [X8] : ~ r1(X0,X8)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] : ~ r1(X0,X7) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X4] :
( p14(X4)
| ~ r1(X0,X4) )
| ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ~ ! [X3] :
( p16(X3)
| ~ r1(X0,X3) )
| ! [X6] : ~ r1(X0,X6)
| ! [X8] : ~ r1(X0,X8)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] : ~ r1(X0,X7) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X4] :
( p14(X4)
| ~ r1(X0,X4) )
| ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ~ ! [X3] :
( p16(X3)
| ~ r1(X0,X3) )
| ! [X6] : ~ r1(X0,X6)
| ! [X8] :
( ~ r1(X0,X8)
| p15(X8) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] : ~ r1(X0,X7) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X4] :
( p14(X4)
| ~ r1(X0,X4) )
| ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ~ ! [X3] :
( p16(X3)
| ~ r1(X0,X3) )
| ! [X6] : ~ r1(X0,X6)
| ! [X8] :
( ~ r1(X0,X8)
| p15(X8) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] :
( p13(X7)
| ~ r1(X0,X7) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X4] :
( p14(X4)
| ~ r1(X0,X4) )
| ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ~ ! [X3] :
( p16(X3)
| ~ r1(X0,X3) )
| ! [X6] :
( p11(X6)
| ~ r1(X0,X6) )
| ! [X8] :
( ~ r1(X0,X8)
| p15(X8) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] :
( p13(X7)
| ~ r1(X0,X7) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X4] :
( p14(X4)
| ~ r1(X0,X4) )
| ! [X5] :
( p12(X5)
| ~ r1(X0,X5) )
| ~ ! [X2] :
( p12(X2)
| ~ r1(X0,X2) )
| ~ ! [X3] :
( p16(X3)
| ~ r1(X0,X3) )
| ! [X6] :
( p11(X6)
| ~ r1(X0,X6) )
| ! [X8] :
( ~ r1(X0,X8)
| p15(X8) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X7] :
( p13(X7)
| ~ r1(X0,X7) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ~ ! [X1] :
( p16(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p14(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p11(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p13(X1) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ~ ! [X1] :
( p16(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p14(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p12(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p11(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p13(X1) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f30,plain,
p12(sK4),
inference(resolution,[],[f19,f20]) ).
fof(f20,plain,
r1(sK0,sK4),
inference(cnf_transformation,[],[f18]) ).
fof(f19,plain,
! [X6] :
( ~ r1(sK0,X6)
| p12(X6) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 30 02:33:50 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.49 % (6331)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 % (6339)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 % (6331)First to succeed.
% 0.21/0.50 % (6331)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 % (6331)------------------------------
% 0.21/0.50 % (6331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (6331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (6331)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (6331)Memory used [KB]: 5373
% 0.21/0.50 % (6331)Time elapsed: 0.084 s
% 0.21/0.50 % (6331)Instructions burned: 1 (million)
% 0.21/0.50 % (6331)------------------------------
% 0.21/0.50 % (6331)------------------------------
% 0.21/0.50 % (6323)Success in time 0.129 s
%------------------------------------------------------------------------------