TSTP Solution File: NUM429+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 17:59:29 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 43 ( 15 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 36 ( 5 ~; 2 |; 27 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f276,plain,
$false,
inference(unit_resulting_resolution,[],[f89,f90,f83]) ).
fof(f83,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f90,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK0)
& aInteger0(sK0)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& aInteger0(sK1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1)
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f68,f67]) ).
fof(f67,plain,
( ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
=> ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK0)
& aInteger0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
=> ( aInteger0(sK1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X1] :
( aInteger0(X1)
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,X1) )
& sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(f89,plain,
aInteger0(sK0),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:30:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (24876)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.45 % (24868)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.46 % (24868)Instruction limit reached!
% 0.19/0.46 % (24868)------------------------------
% 0.19/0.46 % (24868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (24868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (24868)Termination reason: Unknown
% 0.19/0.46 % (24868)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (24868)Memory used [KB]: 6012
% 0.19/0.46 % (24868)Time elapsed: 0.047 s
% 0.19/0.46 % (24868)Instructions burned: 7 (million)
% 0.19/0.46 % (24868)------------------------------
% 0.19/0.46 % (24868)------------------------------
% 0.19/0.47 % (24859)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.47 % (24876)First to succeed.
% 0.19/0.47 % (24876)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (24876)------------------------------
% 0.19/0.47 % (24876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (24876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (24876)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (24876)Memory used [KB]: 1663
% 0.19/0.47 % (24876)Time elapsed: 0.049 s
% 0.19/0.47 % (24876)Instructions burned: 11 (million)
% 0.19/0.47 % (24876)------------------------------
% 0.19/0.47 % (24876)------------------------------
% 0.19/0.47 % (24847)Success in time 0.123 s
%------------------------------------------------------------------------------