TSTP Solution File: SYN726+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n001.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 19:39:23 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 183 ( 79 ~; 55 |; 35 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 119 ( 103 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f176,plain,
$false,
inference(resolution,[],[f172,f146]) ).
fof(f146,plain,
p(sK0,sK2),
inference(resolution,[],[f126,f11]) ).
fof(f11,plain,
! [X10,X9] :
( q(X9,X10)
| p(X9,X10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ p(sK0,sK1)
& ! [X2,X3,X4] :
( ~ p(X4,X3)
| p(X2,X3)
| ~ p(X2,X4) )
& ! [X5,X6] :
( q(X6,X5)
| ~ q(X5,X6) )
& ~ q(sK3,sK2)
& ! [X9,X10] :
( p(X9,X10)
| q(X9,X10) )
& ! [X11,X12,X13] :
( q(X11,X12)
| ~ q(X11,X13)
| ~ q(X13,X12) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0,X1] : ~ p(X0,X1)
=> ~ p(sK0,sK1) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X7,X8] : ~ q(X8,X7)
=> ~ q(sK3,sK2) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0,X1] : ~ p(X0,X1)
& ! [X2,X3,X4] :
( ~ p(X4,X3)
| p(X2,X3)
| ~ p(X2,X4) )
& ! [X5,X6] :
( q(X6,X5)
| ~ q(X5,X6) )
& ? [X7,X8] : ~ q(X8,X7)
& ! [X9,X10] :
( p(X9,X10)
| q(X9,X10) )
& ! [X11,X12,X13] :
( q(X11,X12)
| ~ q(X11,X13)
| ~ q(X13,X12) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X12,X13] : ~ p(X12,X13)
& ! [X6,X8,X7] :
( ~ p(X7,X8)
| p(X6,X8)
| ~ p(X6,X7) )
& ! [X2,X3] :
( q(X3,X2)
| ~ q(X2,X3) )
& ? [X1,X0] : ~ q(X0,X1)
& ! [X5,X4] :
( p(X5,X4)
| q(X5,X4) )
& ! [X11,X10,X9] :
( q(X11,X10)
| ~ q(X11,X9)
| ~ q(X9,X10) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X12,X13] : ~ p(X12,X13)
& ! [X6,X8,X7] :
( p(X6,X8)
| ~ p(X7,X8)
| ~ p(X6,X7) )
& ! [X5,X4] :
( p(X5,X4)
| q(X5,X4) )
& ! [X9,X10,X11] :
( q(X11,X10)
| ~ q(X9,X10)
| ~ q(X11,X9) )
& ! [X2,X3] :
( q(X3,X2)
| ~ q(X2,X3) )
& ? [X1,X0] : ~ q(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ! [X6,X8,X7] :
( ( p(X7,X8)
& p(X6,X7) )
=> p(X6,X8) )
& ! [X5,X4] :
( p(X5,X4)
| q(X5,X4) )
& ! [X9,X10,X11] :
( ( q(X9,X10)
& q(X11,X9) )
=> q(X11,X10) )
& ! [X2,X3] :
( q(X2,X3)
=> q(X3,X2) ) )
=> ! [X13,X12] : p(X12,X13) )
| ! [X1,X0] : q(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X1,X0] : q(X0,X1)
| ( ( ! [X0,X1] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X1,X0] :
( p(X0,X1)
| q(X0,X1) )
& ! [X0,X1,X2] :
( ( p(X1,X2)
& p(X0,X1) )
=> p(X0,X2) )
& ! [X1,X2,X0] :
( ( q(X0,X1)
& q(X1,X2) )
=> q(X0,X2) ) )
=> ! [X0,X1] : p(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X1,X0] : q(X0,X1)
| ( ( ! [X0,X1] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X1,X0] :
( p(X0,X1)
| q(X0,X1) )
& ! [X0,X1,X2] :
( ( p(X1,X2)
& p(X0,X1) )
=> p(X0,X2) )
& ! [X1,X2,X0] :
( ( q(X0,X1)
& q(X1,X2) )
=> q(X0,X2) ) )
=> ! [X0,X1] : p(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400) ).
fof(f126,plain,
~ q(sK0,sK2),
inference(resolution,[],[f124,f36]) ).
fof(f36,plain,
! [X3] :
( p(X3,sK3)
| ~ q(X3,sK2) ),
inference(resolution,[],[f23,f11]) ).
fof(f23,plain,
! [X2] :
( ~ q(X2,sK3)
| ~ q(X2,sK2) ),
inference(resolution,[],[f20,f13]) ).
fof(f13,plain,
! [X6,X5] :
( q(X6,X5)
| ~ q(X5,X6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0] :
( ~ q(sK3,X0)
| ~ q(X0,sK2) ),
inference(resolution,[],[f10,f12]) ).
fof(f12,plain,
~ q(sK3,sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
! [X11,X12,X13] :
( q(X11,X12)
| ~ q(X13,X12)
| ~ q(X11,X13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
~ p(sK0,sK3),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
( ~ p(sK0,sK3)
| ~ p(sK0,sK3) ),
inference(resolution,[],[f111,f78]) ).
fof(f78,plain,
( p(sK2,sK1)
| ~ p(sK0,sK3) ),
inference(resolution,[],[f48,f11]) ).
fof(f48,plain,
( ~ q(sK2,sK1)
| ~ p(sK0,sK3) ),
inference(resolution,[],[f39,f40]) ).
fof(f40,plain,
! [X0] :
( ~ p(X0,sK1)
| ~ p(sK0,X0) ),
inference(resolution,[],[f14,f15]) ).
fof(f15,plain,
~ p(sK0,sK1),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X2,X3,X4] :
( p(X2,X3)
| ~ p(X2,X4)
| ~ p(X4,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X3] :
( p(sK3,X3)
| ~ q(sK2,X3) ),
inference(resolution,[],[f26,f11]) ).
fof(f26,plain,
! [X2] :
( ~ q(sK3,X2)
| ~ q(sK2,X2) ),
inference(resolution,[],[f20,f13]) ).
fof(f111,plain,
( ~ p(sK2,sK1)
| ~ p(sK0,sK3) ),
inference(resolution,[],[f42,f16]) ).
fof(f16,plain,
p(sK3,sK2),
inference(resolution,[],[f11,f12]) ).
fof(f42,plain,
! [X0,X1] :
( ~ p(sK0,X0)
| ~ p(X1,sK1)
| ~ p(X0,X1) ),
inference(resolution,[],[f40,f14]) ).
fof(f172,plain,
~ p(sK0,sK2),
inference(resolution,[],[f159,f110]) ).
fof(f110,plain,
( ~ p(sK3,sK1)
| ~ p(sK0,sK2) ),
inference(resolution,[],[f42,f19]) ).
fof(f19,plain,
p(sK2,sK3),
inference(resolution,[],[f17,f11]) ).
fof(f17,plain,
~ q(sK2,sK3),
inference(resolution,[],[f13,f12]) ).
fof(f159,plain,
p(sK3,sK1),
inference(resolution,[],[f151,f11]) ).
fof(f151,plain,
~ q(sK3,sK1),
inference(resolution,[],[f142,f13]) ).
fof(f142,plain,
~ q(sK1,sK3),
inference(resolution,[],[f125,f33]) ).
fof(f33,plain,
! [X3] :
( p(sK2,X3)
| ~ q(X3,sK3) ),
inference(resolution,[],[f21,f11]) ).
fof(f21,plain,
! [X1] :
( ~ q(X1,sK3)
| ~ q(sK2,X1) ),
inference(resolution,[],[f10,f17]) ).
fof(f125,plain,
~ p(sK2,sK1),
inference(resolution,[],[f124,f81]) ).
fof(f81,plain,
( p(sK0,sK3)
| ~ p(sK2,sK1) ),
inference(resolution,[],[f53,f11]) ).
fof(f53,plain,
( ~ q(sK0,sK3)
| ~ p(sK2,sK1) ),
inference(resolution,[],[f43,f13]) ).
fof(f43,plain,
( ~ q(sK3,sK0)
| ~ p(sK2,sK1) ),
inference(resolution,[],[f40,f27]) ).
fof(f27,plain,
! [X3] :
( p(X3,sK2)
| ~ q(sK3,X3) ),
inference(resolution,[],[f20,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 22:40:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (20078)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.49 % (20087)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.50 % (20087)First to succeed.
% 0.18/0.50 Detected maximum model sizes of [4]
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 TRYING [4]
% 0.18/0.50 % (20095)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.50 % (20087)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (20087)------------------------------
% 0.18/0.50 % (20087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (20087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (20087)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (20087)Memory used [KB]: 895
% 0.18/0.50 % (20087)Time elapsed: 0.104 s
% 0.18/0.50 % (20087)Instructions burned: 6 (million)
% 0.18/0.50 % (20087)------------------------------
% 0.18/0.50 % (20087)------------------------------
% 0.18/0.50 % (20077)Success in time 0.164 s
%------------------------------------------------------------------------------