TSTP Solution File: SYN940+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN940+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 : n005.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 19:46:09 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 87 ( 28 ~; 28 |; 21 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 48 ( 38 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,plain,
$false,
inference(resolution,[],[f18,f11]) ).
fof(f11,plain,
! [X2] : ~ q(f(X2)),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f10,plain,
! [X2] : q(f(X2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X2] : q(f(X2))
& ! [X3,X4] :
( ~ q(X3)
| ( p(f(X4))
& ( ~ p(X3)
| ( r(X4)
& ( ~ r(sK1)
| ~ r(sK0) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
( ? [X0,X1] :
( ! [X2] : q(f(X2))
& ! [X3,X4] :
( ~ q(X3)
| ( p(f(X4))
& ( ~ p(X3)
| ( r(X4)
& ( ~ r(X1)
| ~ r(X0) ) ) ) ) ) )
=> ( ! [X2] : q(f(X2))
& ! [X4,X3] :
( ~ q(X3)
| ( p(f(X4))
& ( ~ p(X3)
| ( r(X4)
& ( ~ r(sK1)
| ~ r(sK0) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X2] : q(f(X2))
& ! [X3,X4] :
( ~ q(X3)
| ( p(f(X4))
& ( ~ p(X3)
| ( r(X4)
& ( ~ r(X1)
| ~ r(X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( ( p(f(X4))
=> ( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& p(X3) ) )
& q(X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( p(f(X4))
=> ( p(X3)
& ( r(X4)
=> ( r(X1)
& r(X0) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( p(f(X4))
=> ( p(X3)
& ( r(X4)
=> ( r(X1)
& r(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
! [X0] : q(X0),
inference(subsumption_resolution,[],[f17,f11]) ).
fof(f17,plain,
! [X0,X1] :
( q(X0)
| q(f(X1)) ),
inference(resolution,[],[f12,f16]) ).
fof(f16,plain,
! [X3] :
( p(X3)
| q(X3) ),
inference(subsumption_resolution,[],[f15,f14]) ).
fof(f14,plain,
! [X3,X4] :
( ~ r(X4)
| p(X3)
| q(X3) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f8,plain,
! [X3,X4] :
( ~ p(X3)
| ~ q(X3)
| r(X4) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
! [X3] :
( p(X3)
| q(X3)
| r(sK0) ),
inference(subsumption_resolution,[],[f13,f14]) ).
fof(f13,plain,
! [X3] :
( r(sK1)
| p(X3)
| r(sK0)
| q(X3) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f7,plain,
! [X3] :
( ~ r(sK0)
| ~ r(sK1)
| ~ p(X3)
| ~ q(X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f12,plain,
! [X3,X4] :
( ~ p(f(X4))
| q(X3) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f9,plain,
! [X3,X4] :
( ~ q(X3)
| p(f(X4)) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 23:10:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.49 % (20514)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.49 % (20523)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.49 % (20525)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.50 % (20523)First to succeed.
% 0.20/0.50 % (20531)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.50 % (20523)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (20523)------------------------------
% 0.20/0.50 % (20523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (20523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (20523)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (20523)Memory used [KB]: 895
% 0.20/0.50 % (20523)Time elapsed: 0.110 s
% 0.20/0.50 % (20523)Instructions burned: 1 (million)
% 0.20/0.50 % (20523)------------------------------
% 0.20/0.50 % (20523)------------------------------
% 0.20/0.50 % (20500)Success in time 0.157 s
%------------------------------------------------------------------------------