TSTP Solution File: SYN986+1.002 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN986+1.002 : 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 : n027.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 19:36:16 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 37 ~; 25 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 53 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f35]) ).
fof(f35,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f34,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f26,f12]) ).
fof(f12,plain,
! [X0] : r(X0,zero,succ(X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r(X0,zero,succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
fof(f26,plain,
( ! [X0] : ~ r(zero,zero,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_2
<=> ! [X0] : ~ r(zero,zero,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f33,plain,
spl0_2,
inference(avatar_split_clause,[],[f32,f25]) ).
fof(f32,plain,
! [X0] : ~ r(zero,zero,X0),
inference(subsumption_resolution,[],[f30,f12]) ).
fof(f30,plain,
! [X0] :
( ~ r(zero,zero,X0)
| ~ r(zero,zero,succ(zero)) ),
inference(resolution,[],[f29,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ r(zero,succ(X0),X1)
| ~ r(zero,zero,X0) ),
inference(resolution,[],[f16,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ r(zero,succ(zero),X0)
| ~ r(zero,X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ r(zero,zero,X1)
| ~ r(zero,X2,X0)
| ~ r(zero,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ r(zero,X1,X2)
| ~ r(zero,zero,X1)
| ~ r(zero,X2,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X1,X0,X2] :
( ~ r(zero,X0,X2)
| ~ r(zero,zero,X0)
| ~ r(zero,X2,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ? [X0,X2,X1] :
( r(zero,zero,X0)
& r(zero,X0,X2)
& r(zero,X2,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X4,X5,X3] :
( r(zero,X4,X3)
& r(zero,X3,X5)
& r(zero,zero,X4) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X4,X5,X3] :
( r(zero,X4,X3)
& r(zero,X3,X5)
& r(zero,zero,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ck) ).
fof(f16,plain,
! [X0,X1] :
( r(X0,succ(zero),succ(X1))
| ~ r(X0,zero,X1) ),
inference(resolution,[],[f13,f12]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ r(X0,X3,X2)
| r(X1,succ(X3),X2)
| ~ r(X1,X3,X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ r(X0,X3,X2)
| r(X1,succ(X3),X2)
| ~ r(X1,X3,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X1,X2,X0,X3] :
( ~ r(X1,X3,X0)
| r(X2,succ(X3),X0)
| ~ r(X2,X3,X1) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X0,X1,X2,X3] :
( r(X2,succ(X3),X0)
| ~ r(X1,X3,X0)
| ~ r(X2,X3,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( r(X2,X3,X1)
=> ( r(X1,X3,X0)
=> r(X2,succ(X3),X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X2,X0,X1] :
( r(X0,X1,X2)
=> ( r(X2,X1,X3)
=> r(X0,succ(X1),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
fof(f29,plain,
! [X0,X1] :
( r(X0,succ(succ(zero)),succ(succ(succ(X1))))
| ~ r(X0,zero,X1) ),
inference(resolution,[],[f28,f12]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ r(succ(X2),zero,X1)
| r(X0,succ(succ(zero)),succ(X1))
| ~ r(X0,zero,X2) ),
inference(resolution,[],[f18,f16]) ).
fof(f18,plain,
! [X2,X3,X4] :
( ~ r(X4,succ(zero),X2)
| r(X4,succ(succ(zero)),succ(X3))
| ~ r(X2,zero,X3) ),
inference(resolution,[],[f16,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN986+1.002 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.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 22:49:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.50 % (18746)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (18746)Refutation not found, incomplete strategy% (18746)------------------------------
% 0.20/0.50 % (18746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18746)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (18746)Memory used [KB]: 5884
% 0.20/0.50 % (18746)Time elapsed: 0.109 s
% 0.20/0.50 % (18746)Instructions burned: 2 (million)
% 0.20/0.50 % (18746)------------------------------
% 0.20/0.50 % (18746)------------------------------
% 0.20/0.51 % (18739)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (18739)Refutation not found, incomplete strategy% (18739)------------------------------
% 0.20/0.51 % (18739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18739)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (18739)Memory used [KB]: 5884
% 0.20/0.51 % (18739)Time elapsed: 0.110 s
% 0.20/0.51 % (18739)Instructions burned: 1 (million)
% 0.20/0.51 % (18739)------------------------------
% 0.20/0.51 % (18739)------------------------------
% 0.20/0.51 % (18762)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (18762)First to succeed.
% 0.20/0.51 % (18738)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (18738)Also succeeded, but the first one will report.
% 0.20/0.51 % (18754)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (18762)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (18762)------------------------------
% 0.20/0.51 % (18762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18762)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (18762)Memory used [KB]: 5884
% 0.20/0.51 % (18762)Time elapsed: 0.112 s
% 0.20/0.51 % (18762)Instructions burned: 2 (million)
% 0.20/0.51 % (18762)------------------------------
% 0.20/0.51 % (18762)------------------------------
% 0.20/0.51 % (18737)Success in time 0.171 s
%------------------------------------------------------------------------------