TSTP Solution File: ARI550_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI550_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 : n010.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 15:48:31 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 17 unt; 3 typ; 0 def)
% Number of atoms : 21 ( 7 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 : 4 ( 1 avg)
% Number arithmetic : 114 ( 13 atm; 41 fun; 34 num; 26 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_3,type,
sQ1_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ2_eqProxy: ( $real * $real ) > $o ).
tff(f953,plain,
$false,
inference(evaluation,[],[f946]) ).
tff(f946,plain,
$less(-128,$product(-6,$sum(1,32))),
inference(superposition,[],[f113,f190]) ).
tff(f190,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f39,f25]) ).
tff(f25,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
inference(literal_reordering,[],[f16]) ).
tff(f16,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f39,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
inference(literal_reordering,[],[f18]) ).
tff(f18,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_155,[]) ).
tff(f113,plain,
! [X3: $int] : $less(-128,$sum(-6,$product(X3,32))),
inference(evaluation,[],[f108]) ).
tff(f108,plain,
! [X3: $int] : $less(-128,$sum($sum(-7,$product(X3,32)),1)),
inference(resolution,[],[f29,f97]) ).
tff(f97,plain,
! [X0: $int] : ~ $less($sum(-7,$product(X0,32)),-128),
inference(backward_demodulation,[],[f36,f28]) ).
tff(f28,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
inference(literal_reordering,[],[f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f36,plain,
! [X0: $int] : ~ $less($sum($product(X0,32),-7),-128),
inference(literal_reordering,[],[f22]) ).
tff(f22,plain,
! [X0: $int] : ~ $less($sum($product(X0,32),-7),-128),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int] : ~ $less($sum($product(X0,32),-7),-128),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less($sum($product(X0,32),-7),-128),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : $less($sum($product(X0,32),-7),-128),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_14) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
inference(literal_reordering,[],[f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI550=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:39:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 % (2021)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.45 % (2014)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)
% 0.20/0.46 % (2003)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 (3000ds/191324Mi)
% 0.20/0.46 % (2029)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)
% 0.20/0.48 % (2006)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)
% 0.20/0.48 % (2003)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.48 % (2003)Terminated due to inappropriate strategy.
% 0.20/0.48 % (2003)------------------------------
% 0.20/0.48 % (2003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (2003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (2003)Termination reason: Inappropriate
% 0.20/0.48
% 0.20/0.48 % (2003)Memory used [KB]: 895
% 0.20/0.48 % (2003)Time elapsed: 0.002 s
% 0.20/0.48 % (2003)Instructions burned: 1 (million)
% 0.20/0.48 % (2003)------------------------------
% 0.20/0.48 % (2003)------------------------------
% 0.20/0.49 % (2026)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.49 % (2018)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)
% 0.20/0.49 % (2009)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)
% 0.20/0.49 % (2011)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.49 % (2010)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.49 % (2011)Instruction limit reached!
% 0.20/0.49 % (2011)------------------------------
% 0.20/0.49 % (2011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (2011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (2011)Termination reason: Unknown
% 0.20/0.49 % (2011)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (2011)Memory used [KB]: 5373
% 0.20/0.49 % (2011)Time elapsed: 0.003 s
% 0.20/0.49 % (2011)Instructions burned: 2 (million)
% 0.20/0.49 % (2011)------------------------------
% 0.20/0.49 % (2011)------------------------------
% 0.20/0.49 % (2016)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.49 % (2017)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)
% 0.20/0.50 % (2007)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (2030)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.50 % (2022)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 (3000ds/100Mi)
% 0.20/0.51 % (2025)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.51 % (2009)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (2009)Terminated due to inappropriate strategy.
% 0.20/0.51 % (2009)------------------------------
% 0.20/0.51 % (2009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2009)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (2009)Memory used [KB]: 895
% 0.20/0.51 % (2009)Time elapsed: 0.003 s
% 0.20/0.51 % (2009)Instructions burned: 2 (million)
% 0.20/0.51 % (2009)------------------------------
% 0.20/0.51 % (2009)------------------------------
% 0.20/0.51 % (2032)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.52 % (2024)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.52 % (2010)Instruction limit reached!
% 0.20/0.52 % (2010)------------------------------
% 0.20/0.52 % (2010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2010)Termination reason: Unknown
% 0.20/0.52 % (2010)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2010)Memory used [KB]: 5500
% 0.20/0.52 % (2010)Time elapsed: 0.120 s
% 0.20/0.52 % (2010)Instructions burned: 8 (million)
% 0.20/0.52 % (2010)------------------------------
% 0.20/0.52 % (2010)------------------------------
% 0.20/0.52 % (2031)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.53 % (2005)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 (3000ds/37Mi)
% 0.20/0.53 % (2027)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.53 % (2015)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.53 % (2008)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.53 % (2004)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)
% 0.20/0.54 % (2023)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 (3000ds/176Mi)
% 0.20/0.54 % (2028)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.54 % (2020)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.54 % (2019)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.54 % (2020)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54 % (2020)Terminated due to inappropriate strategy.
% 0.20/0.54 % (2020)------------------------------
% 0.20/0.54 % (2020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2020)Termination reason: Inappropriate
% 0.20/0.54
% 0.20/0.54 % (2020)Memory used [KB]: 895
% 0.20/0.54 % (2020)Time elapsed: 0.003 s
% 0.20/0.54 % (2020)Instructions burned: 1 (million)
% 0.20/0.54 % (2020)------------------------------
% 0.20/0.54 % (2020)------------------------------
% 0.20/0.54 % (2012)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)
% 0.20/0.54 % (2013)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.54 % (2029)First to succeed.
% 0.20/0.54 % (2029)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (2029)------------------------------
% 0.20/0.54 % (2029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2029)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (2029)Memory used [KB]: 6524
% 0.20/0.54 % (2029)Time elapsed: 0.026 s
% 0.20/0.54 % (2029)Instructions burned: 51 (million)
% 0.20/0.54 % (2029)------------------------------
% 0.20/0.54 % (2029)------------------------------
% 0.20/0.54 % (2002)Success in time 0.19 s
%------------------------------------------------------------------------------