TSTP Solution File: SYN918+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n009.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 19:46:06 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 168 ( 58 ~; 57 |; 38 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 56 ( 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f34]) ).
fof(f34,plain,
! [X1] : ~ h(X1),
inference(resolution,[],[f30,f9]) ).
fof(f9,plain,
! [X4] :
( ~ g(sK0)
| ~ h(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X0] :
( h(X0)
| ~ f(X0)
| ~ g(X0) )
& ! [X1] :
( ~ h(X1)
| g(X1)
| ~ f(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( ~ f(X3)
| g(X3) ) )
& ! [X4] :
( ( f(sK0)
& ~ g(sK0) )
| ( f(X4)
& ~ h(X4)
& g(X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X5] :
( f(X5)
& ~ g(X5) )
=> ( f(sK0)
& ~ g(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ! [X0] :
( h(X0)
| ~ f(X0)
| ~ g(X0) )
& ! [X1] :
( ~ h(X1)
| g(X1)
| ~ f(X1) )
& ( ! [X2] :
( h(X2)
| ~ f(X2) )
| ! [X3] :
( ~ f(X3)
| g(X3) ) )
& ! [X4] :
( ? [X5] :
( f(X5)
& ~ g(X5) )
| ( f(X4)
& ~ h(X4)
& g(X4) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ! [X5] :
( h(X5)
| ~ f(X5)
| ~ g(X5) )
& ! [X4] :
( ~ h(X4)
| g(X4)
| ~ f(X4) )
& ( ! [X3] :
( h(X3)
| ~ f(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( f(X0)
& ~ h(X0)
& g(X0) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
( ! [X5] :
( h(X5)
| ~ f(X5)
| ~ g(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& ( ! [X3] :
( h(X3)
| ~ f(X3) )
| ! [X2] :
( ~ f(X2)
| g(X2) ) )
& ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( ~ h(X0)
& g(X0)
& f(X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& f(X5)
& g(X5) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) )
& ! [X0] :
( ( ( g(X0)
& f(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& f(X5)
& g(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f30,plain,
g(sK0),
inference(resolution,[],[f28,f20]) ).
fof(f20,plain,
f(sK0),
inference(factoring,[],[f13]) ).
fof(f13,plain,
! [X4] :
( f(X4)
| f(sK0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X2] :
( ~ f(X2)
| g(X2) ),
inference(subsumption_resolution,[],[f26,f8]) ).
fof(f8,plain,
! [X4] :
( ~ g(sK0)
| g(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X2] :
( g(sK0)
| g(X2)
| ~ f(X2) ),
inference(resolution,[],[f24,f20]) ).
fof(f24,plain,
! [X0,X1] :
( ~ f(X0)
| g(X0)
| ~ f(X1)
| g(X1) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ f(X0)
| g(X0)
| ~ f(X1)
| ~ f(X1)
| g(X1) ),
inference(resolution,[],[f14,f15]) ).
fof(f15,plain,
! [X1] :
( ~ h(X1)
| g(X1)
| ~ f(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
! [X2,X3] :
( h(X2)
| g(X3)
| ~ f(X3)
| ~ f(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X3] : h(X3),
inference(subsumption_resolution,[],[f44,f32]) ).
fof(f32,plain,
! [X1] : f(X1),
inference(subsumption_resolution,[],[f31,f10]) ).
fof(f10,plain,
! [X4] :
( ~ g(sK0)
| f(X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X1] :
( f(X1)
| g(sK0) ),
inference(resolution,[],[f28,f13]) ).
fof(f44,plain,
! [X3] :
( ~ f(X3)
| h(X3) ),
inference(resolution,[],[f35,f16]) ).
fof(f16,plain,
! [X0] :
( ~ g(X0)
| h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X2] : g(X2),
inference(resolution,[],[f30,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % 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 : n009.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 22:28:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (13395)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.45 % (13387)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)
% 0.19/0.45 % (13387)First to succeed.
% 0.19/0.45 % (13387)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45 % (13387)------------------------------
% 0.19/0.45 % (13387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (13387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (13387)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (13387)Memory used [KB]: 895
% 0.19/0.45 % (13387)Time elapsed: 0.072 s
% 0.19/0.45 % (13387)Instructions burned: 2 (million)
% 0.19/0.45 % (13387)------------------------------
% 0.19/0.45 % (13387)------------------------------
% 0.19/0.45 % (13371)Success in time 0.113 s
%------------------------------------------------------------------------------