TSTP Solution File: LCL674+1.001 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL674+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 : n019.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 17:49:30 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 459 ( 0 equ)
% Maximal formula atoms : 52 ( 13 avg)
% Number of connectives : 751 ( 326 ~; 261 |; 161 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 116 ( 94 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(subsumption_resolution,[],[f162,f39]) ).
fof(f39,plain,
p100(sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( p100(sK3)
& ! [X1] :
( p2(X1)
| ~ r1(sK3,X1) )
& ! [X2] :
( ( sP0(X2)
& ( ( ( p2(X2)
| ! [X3] :
( ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3) ) )
& ( ~ p2(X2)
| ! [X4] :
( p2(X4)
| ~ r1(X2,X4)
| ~ p101(X4) ) ) )
| ~ p101(X2) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( ! [X5] :
( ~ r1(X2,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X2) )
& ( ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) )
| ~ p1(X2) ) ) ) )
| ~ r1(sK3,X2) )
& ~ p101(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f22]) ).
fof(f22,plain,
( ? [X0] :
( p100(X0)
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( ( sP0(X2)
& ( ( ( p2(X2)
| ! [X3] :
( ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3) ) )
& ( ~ p2(X2)
| ! [X4] :
( p2(X4)
| ~ r1(X2,X4)
| ~ p101(X4) ) ) )
| ~ p101(X2) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( ! [X5] :
( ~ r1(X2,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X2) )
& ( ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) )
| ~ p1(X2) ) ) ) )
| ~ r1(X0,X2) )
& ~ p101(X0) )
=> ( p100(sK3)
& ! [X1] :
( p2(X1)
| ~ r1(sK3,X1) )
& ! [X2] :
( ( sP0(X2)
& ( ( ( p2(X2)
| ! [X3] :
( ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3) ) )
& ( ~ p2(X2)
| ! [X4] :
( p2(X4)
| ~ r1(X2,X4)
| ~ p101(X4) ) ) )
| ~ p101(X2) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( ! [X5] :
( ~ r1(X2,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X2) )
& ( ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) )
| ~ p1(X2) ) ) ) )
| ~ r1(sK3,X2) )
& ~ p101(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] :
( p100(X0)
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( ( sP0(X2)
& ( ( ( p2(X2)
| ! [X3] :
( ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3) ) )
& ( ~ p2(X2)
| ! [X4] :
( p2(X4)
| ~ r1(X2,X4)
| ~ p101(X4) ) ) )
| ~ p101(X2) )
& ( p100(X2)
| ~ p101(X2) )
& ( ~ p100(X2)
| ( ( ! [X5] :
( ~ r1(X2,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X2) )
& ( ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) )
| ~ p1(X2) ) ) ) )
| ~ r1(X0,X2) )
& ~ p101(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
? [X0] :
( p100(X0)
& ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
& ! [X1] :
( ( sP0(X1)
& ( ( ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) )
& ( ~ p2(X1)
| ! [X3] :
( p2(X3)
| ~ r1(X1,X3)
| ~ p101(X3) ) ) )
| ~ p101(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ~ p100(X1)
| ( ( ! [X5] :
( ~ r1(X1,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X1) )
& ( ! [X4] :
( ~ p100(X4)
| p1(X4)
| ~ r1(X1,X4) )
| ~ p1(X1) ) ) ) )
| ~ r1(X0,X1) )
& ~ p101(X0) ),
inference(definition_folding,[],[f10,f13]) ).
fof(f13,plain,
! [X1] :
( ( ? [X7] :
( p101(X7)
& r1(X1,X7)
& p2(X7) )
& ? [X6] :
( r1(X1,X6)
& ~ p2(X6)
& p101(X6) ) )
| p101(X1)
| ~ p100(X1)
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
? [X0] :
( p100(X0)
& ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
& ! [X1] :
( ( ( ( ? [X7] :
( p101(X7)
& r1(X1,X7)
& p2(X7) )
& ? [X6] :
( r1(X1,X6)
& ~ p2(X6)
& p101(X6) ) )
| p101(X1)
| ~ p100(X1) )
& ( ( ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) )
& ( ~ p2(X1)
| ! [X3] :
( p2(X3)
| ~ r1(X1,X3)
| ~ p101(X3) ) ) )
| ~ p101(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ~ p100(X1)
| ( ( ! [X5] :
( ~ r1(X1,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X1) )
& ( ! [X4] :
( ~ p100(X4)
| p1(X4)
| ~ r1(X1,X4) )
| ~ p1(X1) ) ) ) )
| ~ r1(X0,X1) )
& ~ p101(X0) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
& p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( p100(X1)
| ~ p101(X1) )
& ( p101(X1)
| ~ p100(X1)
| ( ? [X7] :
( p101(X7)
& p2(X7)
& r1(X1,X7) )
& ? [X6] :
( p101(X6)
& ~ p2(X6)
& r1(X1,X6) ) ) )
& ( ( ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) )
& ( ~ p2(X1)
| ! [X3] :
( p2(X3)
| ~ r1(X1,X3)
| ~ p101(X3) ) ) )
| ~ p101(X1) )
& ( ~ p100(X1)
| ( ( ! [X5] :
( ~ r1(X1,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X1) )
& ( ! [X4] :
( ~ p100(X4)
| p1(X4)
| ~ r1(X1,X4) )
| ~ p1(X1) ) ) ) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
| ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( p100(X1)
| ~ p101(X1) )
& ( ~ ( ~ p101(X1)
& p100(X1) )
| ( ~ ! [X7] :
( ~ ( p101(X7)
& p2(X7) )
| ~ r1(X1,X7) )
& ~ ! [X6] :
( ~ ( p101(X6)
& ~ p2(X6) )
| ~ r1(X1,X6) ) ) )
& ( ( ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) )
& ( ~ p2(X1)
| ! [X3] :
( p2(X3)
| ~ r1(X1,X3)
| ~ p101(X3) ) ) )
| ~ p101(X1) )
& ( ~ p100(X1)
| ( ( ! [X5] :
( ~ r1(X1,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X1) )
& ( ! [X4] :
( ~ p100(X4)
| p1(X4)
| ~ r1(X1,X4) )
| ~ p1(X1) ) ) ) )
| ~ r1(X0,X1) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
| ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( p100(X1)
| ~ p101(X1) )
& ( ~ ( ~ p101(X1)
& p100(X1) )
| ( ~ ! [X7] :
( ~ ( p101(X7)
& ~ p102(X7)
& p2(X7) )
| ~ r1(X1,X7) )
& ~ ! [X6] :
( ~ ( ~ p102(X6)
& p101(X6)
& ~ p2(X6) )
| ~ r1(X1,X6) ) ) )
& ( ( ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) )
& ( ~ p2(X1)
| ! [X3] :
( p2(X3)
| ~ r1(X1,X3)
| ~ p101(X3) ) ) )
| ~ p101(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ p100(X1)
| ( ( ! [X5] :
( ~ r1(X1,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X1) )
& ( ! [X4] :
( ~ p100(X4)
| p1(X4)
| ~ r1(X1,X4) )
| ~ p1(X1) ) ) ) )
| ~ r1(X0,X1) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X8] :
( p2(X8)
| ~ r1(X0,X8) )
| ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( p100(X1)
| ~ p101(X1) )
& ( ~ ( ~ p101(X1)
& p100(X1) )
| ( ~ ! [X7] :
( ~ ( p101(X7)
& ~ p102(X7)
& p2(X7) )
| ~ r1(X1,X7) )
& ~ ! [X6] :
( ~ ( ~ p102(X6)
& p101(X6)
& ~ p2(X6) )
| ~ r1(X1,X6) ) ) )
& ( ( ( p2(X1)
| ! [X2] :
( ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ) )
& ( ~ p2(X1)
| ! [X3] :
( p2(X3)
| ~ r1(X1,X3)
| ~ p101(X3) ) ) )
| ~ p101(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ p100(X1)
| ( ( ! [X5] :
( ~ r1(X1,X5)
| ~ p1(X5)
| ~ p100(X5) )
| p1(X1) )
& ( ! [X4] :
( ~ p100(X4)
| p1(X4)
| ~ r1(X1,X4) )
| ~ p1(X1) ) ) ) )
| ~ r1(X0,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ~ p101(X0)
& p100(X0)
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ( p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) )
& ( ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| ~ p1(X0) )
| p1(X1) ) )
| ~ p100(X1) )
& ( ( ~ ! [X0] :
( ~ ( ~ p102(X0)
& ~ p2(X0)
& p101(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& p101(X0)
& p2(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( ~ p101(X0)
& p100(X0)
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ( p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) )
& ( ! [X0] :
( ~ p100(X0)
| ~ r1(X1,X0)
| ~ p1(X0) )
| p1(X1) ) )
| ~ p100(X1) )
& ( ( ~ ! [X0] :
( ~ ( ~ p102(X0)
& ~ p2(X0)
& p101(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p102(X0)
& p101(X0)
& p2(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f162,plain,
~ p100(sK3),
inference(subsumption_resolution,[],[f161,f31]) ).
fof(f31,plain,
~ p101(sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f161,plain,
( p101(sK3)
| ~ p100(sK3) ),
inference(subsumption_resolution,[],[f160,f41]) ).
fof(f41,plain,
sP0(sK3),
inference(resolution,[],[f37,f40]) ).
fof(f40,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f37,plain,
! [X2] :
( ~ r1(sK3,X2)
| sP0(X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f160,plain,
( ~ sP0(sK3)
| ~ p100(sK3)
| p101(sK3) ),
inference(resolution,[],[f54,f26]) ).
fof(f26,plain,
! [X0] :
( ~ p2(sK2(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( p101(sK1(X0))
& r1(X0,sK1(X0))
& p2(sK1(X0))
& r1(X0,sK2(X0))
& ~ p2(sK2(X0))
& p101(sK2(X0)) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f17,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& r1(X0,X1)
& p2(X1) )
=> ( p101(sK1(X0))
& r1(X0,sK1(X0))
& p2(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p2(X2)
& p101(X2) )
=> ( r1(X0,sK2(X0))
& ~ p2(sK2(X0))
& p101(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( ? [X1] :
( p101(X1)
& r1(X0,X1)
& p2(X1) )
& ? [X2] :
( r1(X0,X2)
& ~ p2(X2)
& p101(X2) ) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1] :
( ( ? [X7] :
( p101(X7)
& r1(X1,X7)
& p2(X7) )
& ? [X6] :
( r1(X1,X6)
& ~ p2(X6)
& p101(X6) ) )
| p101(X1)
| ~ p100(X1)
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f13]) ).
fof(f54,plain,
p2(sK2(sK3)),
inference(subsumption_resolution,[],[f53,f31]) ).
fof(f53,plain,
( p2(sK2(sK3))
| p101(sK3) ),
inference(subsumption_resolution,[],[f52,f41]) ).
fof(f52,plain,
( ~ sP0(sK3)
| p101(sK3)
| p2(sK2(sK3)) ),
inference(subsumption_resolution,[],[f46,f39]) ).
fof(f46,plain,
( ~ p100(sK3)
| p2(sK2(sK3))
| p101(sK3)
| ~ sP0(sK3) ),
inference(resolution,[],[f27,f38]) ).
fof(f38,plain,
! [X1] :
( ~ r1(sK3,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f27,plain,
! [X0] :
( r1(X0,sK2(X0))
| ~ p100(X0)
| p101(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % 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 : n019.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 02:28:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.52 % (3881)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (3886)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (3881)First to succeed.
% 0.21/0.53 % (3881)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (3881)------------------------------
% 0.21/0.53 % (3881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (3881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (3881)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (3881)Memory used [KB]: 5500
% 0.21/0.53 % (3881)Time elapsed: 0.101 s
% 0.21/0.53 % (3881)Instructions burned: 3 (million)
% 0.21/0.53 % (3881)------------------------------
% 0.21/0.53 % (3881)------------------------------
% 0.21/0.53 % (3873)Success in time 0.161 s
%------------------------------------------------------------------------------