TSTP Solution File: ARI229_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI229_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n022.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 15:47:41 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 20 unt; 3 typ; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 93 ( 15 atm; 26 fun; 21 num; 31 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 28 !; 3 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_5,type,
sQ2_eqProxy: ( $real * $real ) > $o ).
tff(f172,plain,
$false,
inference(resolution,[],[f171,f17]) ).
tff(f17,plain,
! [X0: $rat] : ~ $less(X0,-75/112),
inference(literal_reordering,[],[f16]) ).
tff(f16,plain,
! [X0: $rat] : ~ $less(X0,-75/112),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $rat] : ~ $less(X0,-75/112),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ? [X0: $rat] : $less(X0,-75/112),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : $greater(-75/112,X0),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : $greater(-75/112,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_greater_problem_13) ).
tff(f171,plain,
! [X1: $rat] : $less(-75/112,X1),
inference(forward_demodulation,[],[f160,f19]) ).
tff(f19,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
inference(literal_reordering,[],[f6]) ).
tff(f6,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f160,plain,
! [X1: $rat] : $less(-75/112,$sum(X1,0/1)),
inference(superposition,[],[f145,f21]) ).
tff(f21,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
inference(literal_reordering,[],[f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f145,plain,
! [X0: $rat,X1: $rat] : $less(-75/112,$sum(X1,$sum(1/1,X0))),
inference(superposition,[],[f117,f25]) ).
tff(f25,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
inference(literal_reordering,[],[f4]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f117,plain,
! [X2: $rat,X3: $rat] : $less(-75/112,$sum(X2,$sum(X3,1/1))),
inference(superposition,[],[f66,f24]) ).
tff(f24,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
inference(literal_reordering,[],[f5]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f66,plain,
! [X0: $rat] : $less(-75/112,$sum(X0,1/1)),
inference(resolution,[],[f28,f17]) ).
tff(f28,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,$sum(X0,1/1)) ),
inference(literal_reordering,[],[f13]) ).
tff(f13,plain,
! [X0: $rat,X1: $rat] :
( $less(X0,X1)
| $less(X1,$sum(X0,1/1)) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ARI229=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:28:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (25050)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.48 % (25044)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.49 % (25061)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.49 % (25058)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.18/0.49 % (25050)Instruction limit reached!
% 0.18/0.49 % (25050)------------------------------
% 0.18/0.49 % (25050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (25069)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)
% 0.18/0.50 % (25069)First to succeed.
% 0.18/0.50 % (25050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (25050)Termination reason: Unknown
% 0.18/0.50 % (25050)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (25050)Memory used [KB]: 5500
% 0.18/0.50 % (25050)Time elapsed: 0.099 s
% 0.18/0.50 % (25050)Instructions burned: 8 (million)
% 0.18/0.50 % (25050)------------------------------
% 0.18/0.50 % (25050)------------------------------
% 0.18/0.50 % (25053)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.50 % (25052)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.51 % (25049)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.51 % (25049)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.51 % (25049)Terminated due to inappropriate strategy.
% 0.18/0.51 % (25049)------------------------------
% 0.18/0.51 % (25049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (25049)Termination reason: Inappropriate
% 0.18/0.51
% 0.18/0.51 % (25049)Memory used [KB]: 895
% 0.18/0.51 % (25049)Time elapsed: 0.001 s
% 0.18/0.51 % (25049)------------------------------
% 0.18/0.51 % (25049)------------------------------
% 0.18/0.51 % (25069)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (25069)------------------------------
% 0.18/0.51 % (25069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (25069)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (25069)Memory used [KB]: 5756
% 0.18/0.51 % (25069)Time elapsed: 0.009 s
% 0.18/0.51 % (25069)Instructions burned: 8 (million)
% 0.18/0.51 % (25069)------------------------------
% 0.18/0.51 % (25069)------------------------------
% 0.18/0.51 % (25042)Success in time 0.171 s
%------------------------------------------------------------------------------