TSTP Solution File: LCL414+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL414+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 : n013.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 17:48:13 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 71 ( 30 ~; 16 |; 24 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 75 ( 69 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
$false,
inference(resolution,[],[f25,f11]) ).
fof(f11,plain,
~ a_truth(implies(sK0,sK0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X0,X1] : a_truth(implies(X0,implies(X1,X0)))
& ~ a_truth(implies(sK0,sK0))
& ! [X3,X4] : a_truth(implies(implies(not(X3),not(X4)),implies(X4,X3)))
& ! [X5,X6] :
( ~ a_truth(X6)
| a_truth(X5)
| ~ a_truth(implies(X6,X5)) )
& ! [X7,X8,X9] : a_truth(implies(implies(X7,implies(X9,X8)),implies(implies(X7,X9),implies(X7,X8)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X2] : ~ a_truth(implies(X2,X2))
=> ~ a_truth(implies(sK0,sK0)) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ! [X0,X1] : a_truth(implies(X0,implies(X1,X0)))
& ? [X2] : ~ a_truth(implies(X2,X2))
& ! [X3,X4] : a_truth(implies(implies(not(X3),not(X4)),implies(X4,X3)))
& ! [X5,X6] :
( ~ a_truth(X6)
| a_truth(X5)
| ~ a_truth(implies(X6,X5)) )
& ! [X7,X8,X9] : a_truth(implies(implies(X7,implies(X9,X8)),implies(implies(X7,X9),implies(X7,X8)))) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ! [X8,X9] : a_truth(implies(X8,implies(X9,X8)))
& ? [X0] : ~ a_truth(implies(X0,X0))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ! [X6,X7] :
( ~ a_truth(X7)
| a_truth(X6)
| ~ a_truth(implies(X7,X6)) )
& ! [X5,X3,X4] : a_truth(implies(implies(X5,implies(X4,X3)),implies(implies(X5,X4),implies(X5,X3)))) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ( ! [X8,X9] : a_truth(implies(X8,implies(X9,X8)))
& ? [X0] : ~ a_truth(implies(X0,X0))
& ! [X1,X2] : a_truth(implies(implies(not(X1),not(X2)),implies(X2,X1)))
& ! [X6,X7] :
( ~ a_truth(X7)
| a_truth(X6)
| ~ a_truth(implies(X7,X6)) )
& ! [X5,X3,X4] : a_truth(implies(implies(X5,implies(X4,X3)),implies(implies(X5,X4),implies(X5,X3)))) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ( ? [X3] : ~ a_truth(implies(X3,X3))
& ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ! [X2,X1,X0] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X1,X0] :
( ~ a_truth(X0)
| ~ a_truth(implies(X0,X1))
| a_truth(X1) )
& ! [X0,X1] : a_truth(implies(X0,implies(X1,X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ( ? [X3] : ~ a_truth(implies(X3,X3))
& ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0)))
& ! [X2,X1,X0] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
& ! [X1,X0] :
( ~ a_truth(X0)
| ~ a_truth(implies(X0,X1))
| a_truth(X1) )
& ! [X0,X1] : a_truth(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147) ).
fof(f25,plain,
! [X0] : a_truth(implies(X0,X0)),
inference(resolution,[],[f24,f12]) ).
fof(f12,plain,
! [X0,X1] : a_truth(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X2,X3] :
( ~ a_truth(implies(X2,X3))
| a_truth(implies(X2,X2)) ),
inference(resolution,[],[f19,f9]) ).
fof(f9,plain,
! [X6,X5] :
( ~ a_truth(implies(X6,X5))
| ~ a_truth(X6)
| a_truth(X5) ),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
! [X0,X1] : a_truth(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[],[f17,f12]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ a_truth(implies(X0,implies(X1,X2)))
| a_truth(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f8,f9]) ).
fof(f8,plain,
! [X8,X9,X7] : a_truth(implies(implies(X7,implies(X9,X8)),implies(implies(X7,X9),implies(X7,X8)))),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL414+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 01:55:32 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.56 % (16040)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.56 % (16021)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.57 % (16032)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.57 % (16028)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.57 % (16020)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.58 % (16020)First to succeed.
% 0.20/0.58 % (16020)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (16020)------------------------------
% 0.20/0.58 % (16020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (16020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (16020)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (16020)Memory used [KB]: 895
% 0.20/0.58 % (16020)Time elapsed: 0.148 s
% 0.20/0.58 % (16020)Instructions burned: 2 (million)
% 0.20/0.58 % (16020)------------------------------
% 0.20/0.58 % (16020)------------------------------
% 0.20/0.58 % (16017)Success in time 0.22 s
%------------------------------------------------------------------------------