TSTP Solution File: SYN052+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN052+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 : n007.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 19:36:41 EDT 2022
% Result : Theorem 0.23s 0.53s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 66 ( 24 ~; 20 |; 13 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(subsumption_resolution,[],[f16,f15]) ).
fof(f15,plain,
p,
inference(resolution,[],[f14,f9]) ).
fof(f9,plain,
! [X2] :
( ~ big_f(X2)
| p ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( ~ p
| ~ big_f(sK0) )
& ( p
| ! [X1] : big_f(X1) )
& ! [X2] :
( ( big_f(X2)
| ~ p )
& ( p
| ~ big_f(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
( ? [X0] : ~ big_f(X0)
=> ~ big_f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ~ p
| ? [X0] : ~ big_f(X0) )
& ( p
| ! [X1] : big_f(X1) )
& ! [X2] :
( ( big_f(X2)
| ~ p )
& ( p
| ~ big_f(X2) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ~ p
| ? [X1] : ~ big_f(X1) )
& ( p
| ! [X1] : big_f(X1) )
& ! [X0] :
( ( big_f(X0)
| ~ p )
& ( p
| ~ big_f(X0) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ~ p
| ? [X1] : ~ big_f(X1) )
& ( p
| ! [X1] : big_f(X1) )
& ! [X0] :
( ( big_f(X0)
| ~ p )
& ( p
| ~ big_f(X0) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ( ! [X1] : big_f(X1)
<~> p )
& ! [X0] :
( big_f(X0)
<=> p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( big_f(X0)
<=> p )
=> ( ! [X1] : big_f(X1)
<=> p ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( big_f(X0)
<=> p )
=> ( ! [X1] : big_f(X1)
<=> p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel22) ).
fof(f14,plain,
! [X1] : big_f(X1),
inference(subsumption_resolution,[],[f11,f10]) ).
fof(f10,plain,
! [X2] :
( big_f(X2)
| ~ p ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X1] :
( p
| big_f(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
~ p,
inference(subsumption_resolution,[],[f12,f14]) ).
fof(f12,plain,
( ~ big_f(sK0)
| ~ p ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN052+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 30 21:10:16 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.52 % (26751)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.23/0.52 % (26763)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)
% 0.23/0.52 % (26759)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.23/0.52 % (26763)First to succeed.
% 0.23/0.52 % (26755)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)
% 0.23/0.53 % (26768)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)
% 0.23/0.53 % (26763)Refutation found. Thanks to Tanya!
% 0.23/0.53 % SZS status Theorem for theBenchmark
% 0.23/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53 % (26763)------------------------------
% 0.23/0.53 % (26763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (26763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (26763)Termination reason: Refutation
% 0.23/0.53
% 0.23/0.53 % (26763)Memory used [KB]: 895
% 0.23/0.53 % (26763)Time elapsed: 0.062 s
% 0.23/0.53 % (26763)Instructions burned: 1 (million)
% 0.23/0.53 % (26763)------------------------------
% 0.23/0.53 % (26763)------------------------------
% 0.23/0.53 % (26740)Success in time 0.153 s
%------------------------------------------------------------------------------