TSTP Solution File: ARI612_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI612_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 : n002.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 15:48:42 EDT 2022
% Result : Theorem 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 134 ( 8 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 143 ( 43 ~; 40 |; 42 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 175 ( 69 atm; 0 fun; 70 num; 36 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 31 !; 5 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(f170,plain,
$false,
inference(avatar_sat_refutation,[],[f116,f169]) ).
tff(f169,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f168]) ).
tff(f168,plain,
( $false
| ~ spl1_3 ),
inference(evaluation,[],[f167]) ).
tff(f167,plain,
( $less(15,12)
| ~ spl1_3 ),
inference(forward_demodulation,[],[f31,f84]) ).
tff(f84,plain,
( ( 15 = sK0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f82,plain,
( spl1_3
<=> ( 15 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f31,plain,
$less(sK0,12),
inference(resolution,[],[f28,f23]) ).
tff(f23,plain,
q(sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
( ! [X0: $int] :
( ( q(X0)
| ~ $less(X0,12)
| ~ $less(8,X0) )
& ( ( $less(X0,12)
& $less(8,X0) )
| ~ q(X0) ) )
& ! [X1: $int] :
( ( p(X1)
| ~ $less(X1,15)
| ~ $less(5,X1) )
& ( ( $less(X1,15)
& $less(5,X1) )
| ~ p(X1) ) )
& q(sK0)
& ~ p(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
tff(f20,plain,
( ? [X2: $int] :
( q(X2)
& ~ p(X2) )
=> ( q(sK0)
& ~ p(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f19,plain,
( ! [X0: $int] :
( ( q(X0)
| ~ $less(X0,12)
| ~ $less(8,X0) )
& ( ( $less(X0,12)
& $less(8,X0) )
| ~ q(X0) ) )
& ! [X1: $int] :
( ( p(X1)
| ~ $less(X1,15)
| ~ $less(5,X1) )
& ( ( $less(X1,15)
& $less(5,X1) )
| ~ p(X1) ) )
& ? [X2: $int] :
( q(X2)
& ~ p(X2) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( ! [X0: $int] :
( ( q(X0)
| ~ $less(X0,12)
| ~ $less(8,X0) )
& ( ( $less(X0,12)
& $less(8,X0) )
| ~ q(X0) ) )
& ! [X1: $int] :
( ( p(X1)
| ~ $less(X1,15)
| ~ $less(5,X1) )
& ( ( $less(X1,15)
& $less(5,X1) )
| ~ p(X1) ) )
& ? [X2: $int] :
( q(X2)
& ~ p(X2) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X0: $int] :
( q(X0)
<=> ( $less(X0,12)
& $less(8,X0) ) )
& ! [X1: $int] :
( p(X1)
<=> ( $less(X1,15)
& $less(5,X1) ) )
& ? [X2: $int] :
( q(X2)
& ~ p(X2) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ? [X2: $int] :
( q(X2)
& ~ p(X2) )
& ! [X1: $int] :
( p(X1)
<=> ( $less(X1,15)
& $less(5,X1) ) )
& ! [X0: $int] :
( q(X0)
<=> ( $less(X0,12)
& $less(8,X0) ) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ( ( ! [X1: $int] :
( p(X1)
<=> ( $less(X1,15)
& $less(5,X1) ) )
& ! [X0: $int] :
( q(X0)
<=> ( $less(X0,12)
& $less(8,X0) ) ) )
=> ! [X2: $int] :
( q(X2)
=> p(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( q(X0)
<=> ( $less(X0,12)
& $less(8,X0) ) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) )
=> ! [X0: $int] :
( q(X0)
=> p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( q(X0)
<=> ( $less(X0,12)
& $less(8,X0) ) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) )
=> ! [X0: $int] :
( q(X0)
=> p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_8_12_subset_5_15) ).
tff(f28,plain,
! [X0: $int] :
( ~ q(X0)
| $less(X0,12) ),
inference(cnf_transformation,[],[f21]) ).
tff(f116,plain,
spl1_3,
inference(avatar_split_clause,[],[f98,f82]) ).
tff(f98,plain,
15 = sK0,
inference(evaluation,[],[f89]) ).
tff(f89,plain,
( $less(15,12)
| ( 15 = sK0 ) ),
inference(resolution,[],[f41,f61]) ).
tff(f61,plain,
~ $less(sK0,15),
inference(subsumption_resolution,[],[f60,f22]) ).
tff(f22,plain,
~ p(sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f60,plain,
( ~ $less(sK0,15)
| p(sK0) ),
inference(evaluation,[],[f50]) ).
tff(f50,plain,
( ( 5 = 8 )
| p(sK0)
| $less(8,5)
| ~ $less(sK0,15) ),
inference(resolution,[],[f40,f26]) ).
tff(f26,plain,
! [X1: $int] :
( ~ $less(5,X1)
| p(X1)
| ~ $less(X1,15) ),
inference(cnf_transformation,[],[f21]) ).
tff(f40,plain,
! [X6: $int] :
( $less(X6,sK0)
| $less(8,X6)
| ( 8 = X6 ) ),
inference(resolution,[],[f10,f33]) ).
tff(f33,plain,
! [X0: $int] :
( ~ $less(X0,8)
| $less(X0,sK0) ),
inference(resolution,[],[f9,f30]) ).
tff(f30,plain,
$less(8,sK0),
inference(resolution,[],[f27,f23]) ).
tff(f27,plain,
! [X0: $int] :
( ~ q(X0)
| $less(8,X0) ),
inference(cnf_transformation,[],[f21]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f41,plain,
! [X7: $int] :
( $less(sK0,X7)
| $less(X7,12)
| ( sK0 = X7 ) ),
inference(resolution,[],[f10,f34]) ).
tff(f34,plain,
! [X1: $int] :
( ~ $less(X1,sK0)
| $less(X1,12) ),
inference(resolution,[],[f9,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI612=1 : TPTP v8.1.0. Released v5.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 : Mon Aug 29 16:03:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (4930)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)
% 0.19/0.52 % (4930)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (4930)Terminated due to inappropriate strategy.
% 0.19/0.52 % (4930)------------------------------
% 0.19/0.52 % (4930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4930)Termination reason: Inappropriate
% 0.19/0.52
% 0.19/0.52 % (4930)Memory used [KB]: 895
% 0.19/0.52 % (4930)Time elapsed: 0.004 s
% 0.19/0.52 % (4930)Instructions burned: 2 (million)
% 0.19/0.52 % (4930)------------------------------
% 0.19/0.52 % (4930)------------------------------
% 0.19/0.53 % (4924)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)
% 0.19/0.53 % (4924)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.53 % (4924)Terminated due to inappropriate strategy.
% 0.19/0.53 % (4924)------------------------------
% 0.19/0.53 % (4924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4924)Termination reason: Inappropriate
% 0.19/0.53
% 0.19/0.53 % (4924)Memory used [KB]: 895
% 0.19/0.53 % (4924)Time elapsed: 0.002 s
% 0.19/0.53 % (4924)Instructions burned: 1 (million)
% 0.19/0.53 % (4924)------------------------------
% 0.19/0.53 % (4924)------------------------------
% 0.19/0.53 % (4938)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)
% 0.19/0.54 % (4936)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.54 % (4946)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)
% 0.19/0.54 % (4935)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)
% 0.19/0.54 % (4925)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)
% 0.19/0.55 % (4932)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.55 % (4928)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.55 % (4950)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)
% 0.19/0.55 % (4934)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.56 % (4947)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)
% 0.19/0.56 % (4940)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)
% 0.19/0.56 % (4927)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)
% 0.19/0.56 % (4929)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)
% 0.19/0.56 % (4939)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)
% 0.19/0.56 % (4942)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.56 % (4944)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)
% 0.19/0.57 % (4937)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.57 % (4926)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)
% 0.19/0.57 % (4932)Instruction limit reached!
% 0.19/0.57 % (4932)------------------------------
% 0.19/0.57 % (4932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (4932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (4932)Termination reason: Unknown
% 0.19/0.57 % (4932)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (4932)Memory used [KB]: 895
% 0.19/0.57 % (4932)Time elapsed: 0.002 s
% 0.19/0.57 % (4932)Instructions burned: 2 (million)
% 0.19/0.57 % (4932)------------------------------
% 0.19/0.57 % (4932)------------------------------
% 0.19/0.57 % (4945)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.57 % (4952)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.57 % (4948)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.58 % (4943)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)
% 0.19/0.58 % (4931)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.58 % (4953)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)
% 0.19/0.58 % (4947)First to succeed.
% 0.19/0.58 % (4951)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)
% 0.19/0.59 % (4947)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (4947)------------------------------
% 0.19/0.59 % (4947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (4947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (4947)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (4947)Memory used [KB]: 5500
% 0.19/0.59 % (4947)Time elapsed: 0.144 s
% 0.19/0.59 % (4947)Instructions burned: 8 (million)
% 0.19/0.59 % (4947)------------------------------
% 0.19/0.59 % (4947)------------------------------
% 0.19/0.59 % (4923)Success in time 0.229 s
%------------------------------------------------------------------------------