TSTP Solution File: SYN986+1.003 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN986+1.003 : 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 : 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 19:36:16 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 23 ~; 17 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 42 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(unit_resulting_resolution,[],[f18,f18,f29,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ r(X3,X0,X2)
| ~ r(X2,X0,X1)
| r(X3,succ(X0),X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( r(X3,succ(X0),X1)
| ~ r(X3,X0,X2)
| ~ r(X2,X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X3,X0,X2,X1] :
( r(X1,succ(X3),X0)
| ~ r(X1,X3,X2)
| ~ r(X2,X3,X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X1,X0,X2,X3] :
( r(X1,succ(X3),X0)
| ~ r(X2,X3,X0)
| ~ r(X1,X3,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0,X2,X3] :
( r(X1,X3,X2)
=> ( r(X2,X3,X0)
=> r(X1,succ(X3),X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X0,X2,X1] :
( r(X0,X1,X2)
=> ( r(X2,X1,X3)
=> r(X0,succ(X1),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
fof(f29,plain,
! [X0] : ~ r(zero,succ(succ(succ(succ(zero)))),X0),
inference(unit_resulting_resolution,[],[f17,f15,f14,f13]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ r(zero,zero,X0)
| ~ r(zero,X0,X1)
| ~ r(zero,X3,X2)
| ~ r(zero,X1,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ~ r(zero,X0,X1)
| ~ r(zero,zero,X0)
| ~ r(zero,X1,X3)
| ~ r(zero,X3,X2) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
! [X2,X1,X3,X0] :
( ~ r(zero,X2,X1)
| ~ r(zero,zero,X2)
| ~ r(zero,X1,X0)
| ~ r(zero,X0,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ? [X3,X2,X1,X0] :
( r(zero,zero,X2)
& r(zero,X0,X3)
& r(zero,X2,X1)
& r(zero,X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X3,X5,X4,X6] :
( r(zero,X3,X6)
& r(zero,zero,X4)
& r(zero,X5,X3)
& r(zero,X4,X5) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X3,X5,X4,X6] :
( r(zero,X3,X6)
& r(zero,zero,X4)
& r(zero,X5,X3)
& r(zero,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).
fof(f14,plain,
! [X0] : r(X0,zero,succ(X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r(X0,zero,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
fof(f15,plain,
! [X0] : r(X0,succ(zero),succ(succ(X0))),
inference(unit_resulting_resolution,[],[f14,f14,f12]) ).
fof(f17,plain,
! [X0] : r(X0,succ(succ(zero)),succ(succ(succ(succ(X0))))),
inference(unit_resulting_resolution,[],[f15,f15,f12]) ).
fof(f18,plain,
! [X0] : r(X0,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))),
inference(unit_resulting_resolution,[],[f17,f17,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN986+1.003 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 22:34:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (30194)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50 % (30177)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (30177)First to succeed.
% 0.20/0.50 % (30175)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (30177)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 % (30177)------------------------------
% 0.20/0.50 % (30177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (30177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (30177)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (30177)Memory used [KB]: 5884
% 0.20/0.50 % (30177)Time elapsed: 0.089 s
% 0.20/0.50 % (30177)Instructions burned: 3 (million)
% 0.20/0.50 % (30177)------------------------------
% 0.20/0.50 % (30177)------------------------------
% 0.20/0.50 % (30163)Success in time 0.15 s
%------------------------------------------------------------------------------