TSTP Solution File: ARI606_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI606_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : 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 15:48:41 EDT 2022
% Result : Theorem 1.69s 0.58s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 31 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 6 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 53 ( 26 atm; 0 fun; 15 num; 12 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 5 usr; 6 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_7,type,
sF0: $int ).
tff(func_def_8,type,
sF1: $int ).
tff(func_def_9,type,
sF2: $int ).
tff(func_def_10,type,
sF3: $int ).
tff(f112,plain,
$false,
inference(subsumption_resolution,[],[f111,f23]) ).
tff(f23,plain,
$less(sF1,sF3),
inference(definition_folding,[],[f18,f22,f21,f20,f19]) ).
tff(f19,plain,
f(5) = sF0,
introduced(function_definition,[]) ).
tff(f20,plain,
f(sF0) = sF1,
introduced(function_definition,[]) ).
tff(f21,plain,
f(2) = sF2,
introduced(function_definition,[]) ).
tff(f22,plain,
f(sF2) = sF3,
introduced(function_definition,[]) ).
tff(f18,plain,
$less(f(f(5)),f(f(2))),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( $less(f(f(5)),f(f(2)))
& ! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
=> ~ $less(f(f(5)),f(f(2))) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int,X1: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
=> $lesseq(f(f(2)),f(f(5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_ff2_gt_ff5) ).
tff(f111,plain,
~ $less(sF1,sF3),
inference(subsumption_resolution,[],[f101,f79]) ).
tff(f79,plain,
~ $less(sF0,sF2),
inference(evaluation,[],[f74]) ).
tff(f74,plain,
( $less(5,2)
| ~ $less(sF0,sF2) ),
inference(superposition,[],[f25,f21]) ).
tff(f25,plain,
! [X1: $int] :
( ~ $less(sF0,f(X1))
| $less(5,X1) ),
inference(superposition,[],[f17,f19]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f101,plain,
( $less(sF0,sF2)
| ~ $less(sF1,sF3) ),
inference(superposition,[],[f26,f22]) ).
tff(f26,plain,
! [X2: $int] :
( ~ $less(sF1,f(X2))
| $less(sF0,X2) ),
inference(superposition,[],[f17,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI606=1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:51:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.26/0.55 % (2908)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.26/0.56 % (2907)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.26/0.56 % (2922)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.69/0.57 % (2915)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)
% 1.69/0.57 % (2930)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.69/0.58 % (2908)First to succeed.
% 1.69/0.58 % (2907)Also succeeded, but the first one will report.
% 1.69/0.58 % (2908)Refutation found. Thanks to Tanya!
% 1.69/0.58 % SZS status Theorem for theBenchmark
% 1.69/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.58 % (2908)------------------------------
% 1.69/0.58 % (2908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (2908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (2908)Termination reason: Refutation
% 1.69/0.58
% 1.69/0.58 % (2908)Memory used [KB]: 5500
% 1.69/0.58 % (2908)Time elapsed: 0.147 s
% 1.69/0.58 % (2908)Instructions burned: 4 (million)
% 1.69/0.58 % (2908)------------------------------
% 1.69/0.58 % (2908)------------------------------
% 1.69/0.58 % (2903)Success in time 0.223 s
%------------------------------------------------------------------------------