TSTP Solution File: SWV069+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV069+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n026.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 18:55:24 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 56 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 16 |; 13 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f520,plain,
$false,
inference(subsumption_resolution,[],[f514,f312]) ).
fof(f312,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f514,plain,
~ gt(n5,n0),
inference(resolution,[],[f411,f439]) ).
fof(f439,plain,
~ leq(n0,minus(n5,n1)),
inference(subsumption_resolution,[],[f438,f389]) ).
fof(f389,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( leq(n0,pv10)
& ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,n0) )
& leq(pv10,minus(n135300,n1)) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,n0) )
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,n0)
& leq(n0,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,n0)
& leq(n0,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0010) ).
fof(f438,plain,
( ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10) ),
inference(subsumption_resolution,[],[f437,f251]) ).
fof(f251,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f437,plain,
( ~ leq(n0,minus(n5,n1))
| ~ leq(n0,n0)
| ~ leq(n0,pv10) ),
inference(resolution,[],[f388,f387]) ).
fof(f387,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f160]) ).
fof(f388,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,n0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f411,plain,
! [X0,X1] :
( leq(X1,minus(X0,n1))
| ~ gt(X0,X1) ),
inference(definition_unfolding,[],[f318,f365]) ).
fof(f365,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f318,plain,
! [X0,X1] :
( leq(X1,pred(X0))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ( gt(X0,X1)
| ~ leq(X1,pred(X0)) )
& ( leq(X1,pred(X0))
| ~ gt(X0,X1) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( gt(X0,X1)
<=> leq(X1,pred(X0)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( gt(X1,X0)
<=> leq(X0,pred(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SWV069+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 19:13:06 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.47 % (28756)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 (2999ds/191324Mi)
% 0.17/0.47 % (28766)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48 % (28758)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.48 % (28775)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 (2999ds/100Mi)
% 0.17/0.49 % (28776)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.50 % (28768)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.50 TRYING [1]
% 0.17/0.50 TRYING [2]
% 0.17/0.50 % (28758)First to succeed.
% 0.17/0.50 % (28774)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.51 % (28758)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (28758)------------------------------
% 0.17/0.51 % (28758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (28758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (28758)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (28758)Memory used [KB]: 1279
% 0.17/0.51 % (28758)Time elapsed: 0.124 s
% 0.17/0.51 % (28758)Instructions burned: 20 (million)
% 0.17/0.51 % (28758)------------------------------
% 0.17/0.51 % (28758)------------------------------
% 0.17/0.51 % (28755)Success in time 0.177 s
%------------------------------------------------------------------------------