TSTP Solution File: SYN730+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN730+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 : n012.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 19:39:24 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 20 ( 6 ~; 7 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,plain,
$false,
inference(resolution,[],[f8,f7]) ).
fof(f7,plain,
! [X2,X0] : ~ p(X0,sK0(X0),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0,X2] :
( ~ p(X0,sK0(X0),X2)
& ( p(X0,sK0(X0),k(sK0(X0)))
| p(a,sK0(X0),h(sK0(X0))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).
fof(f4,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ~ p(X0,X1,X2)
& ( p(X0,X1,k(X1))
| p(a,X1,h(X1)) ) )
=> ! [X2] :
( ~ p(X0,sK0(X0),X2)
& ( p(X0,sK0(X0),k(sK0(X0)))
| p(a,sK0(X0),h(sK0(X0))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
! [X0] :
? [X1] :
! [X2] :
( ~ p(X0,X1,X2)
& ( p(X0,X1,k(X1))
| p(a,X1,h(X1)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( p(X0,X1,k(X1))
| p(a,X1,h(X1)) )
=> p(X0,X1,X2) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( p(X0,X1,k(X1))
| p(a,X1,h(X1)) )
=> p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm75) ).
fof(f8,plain,
! [X0] : p(a,sK0(X0),h(sK0(X0))),
inference(subsumption_resolution,[],[f6,f7]) ).
fof(f6,plain,
! [X0] :
( p(a,sK0(X0),h(sK0(X0)))
| p(X0,sK0(X0),k(sK0(X0))) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN730+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % 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 : n012.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 22:17:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (17481)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)
% 0.20/0.51 % (17462)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.52 % (17472)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (17473)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (17470)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52 TRYING [5]
% 0.20/0.52 TRYING [6]
% 0.20/0.52 % (17475)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.52 TRYING [7]
% 0.20/0.52 % (17483)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.52 % (17481)First to succeed.
% 0.20/0.52 % (17483)Also succeeded, but the first one will report.
% 0.20/0.53 % (17484)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)
% 0.20/0.53 % (17481)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (17481)------------------------------
% 0.20/0.53 % (17481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17481)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (17481)Memory used [KB]: 895
% 0.20/0.53 % (17481)Time elapsed: 0.121 s
% 0.20/0.53 % (17481)Instructions burned: 1 (million)
% 0.20/0.53 % (17481)------------------------------
% 0.20/0.53 % (17481)------------------------------
% 0.20/0.53 % (17461)Success in time 0.166 s
%------------------------------------------------------------------------------