TSTP Solution File: NUM920_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM920_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_uns --cores 0 -t %d %s
% Computer : n029.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 18:02:52 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 47 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 13 ~; 13 |; 7 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 109 ( 38 atm; 22 fun; 26 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 18 !; 5 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f253,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f250]) ).
tff(f250,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f247]) ).
tff(f247,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f153,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f153,plain,
( $less(sK0,sK0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f151,plain,
( spl1_3
<=> $less(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f169,plain,
spl1_3,
inference(avatar_split_clause,[],[f134,f151]) ).
tff(f134,plain,
$less(sK0,sK0),
inference(evaluation,[],[f122]) ).
tff(f122,plain,
$less($sum($sum(-1,sK0),1),sK0),
inference(resolution,[],[f36,f8]) ).
tff(f36,plain,
! [X1: $int] :
( $less($sum(X1,1),sK0)
| $less($sum(-1,sK0),X1) ),
inference(forward_demodulation,[],[f35,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f35,plain,
! [X1: $int] :
( $less($sum(X1,1),sK0)
| $less($sum(sK0,-1),X1) ),
inference(evaluation,[],[f34]) ).
tff(f34,plain,
! [X1: $int] :
( $less($sum(sK0,$uminus(1)),X1)
| $less($sum(X1,1),sK0) ),
inference(gaussian_variable_elimination,[],[f29]) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less($sum(X1,1),sK0)
| ( $sum(X0,1) != sK0 ) ),
inference(constrained_resolution,[],[f20,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f20,plain,
! [X1: $int] :
( ~ $less(X1,sK0)
| $less($sum(X1,1),sK0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X1: $int] :
( $less($sum(X1,1),sK0)
| ~ $less(X1,sK0) )
& $less(0,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( $less($sum(X1,1),X0)
| ~ $less(X1,X0) )
& $less(0,X0) )
=> ( ! [X1: $int] :
( $less($sum(X1,1),sK0)
| ~ $less(X1,sK0) )
& $less(0,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less($sum(X1,1),X0)
| ~ $less(X1,X0) )
& $less(0,X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,X0)
=> $less($sum(X1,1),X0) )
& $less(0,X0) ),
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
~ ~ ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,X0)
=> $less($sum(X1,1),X0) )
& $less(0,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
~ ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,X0)
=> $less($sum(X1,1),X0) )
& $less(0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM920=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.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 : Tue Aug 30 09:25:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (1125)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.20/0.53 % (1128)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53 % (1136)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.20/0.53 % (1114)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.20/0.53 % (1133)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53 % (1133)Refutation not found, incomplete strategy% (1133)------------------------------
% 0.20/0.53 % (1133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1133)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (1133)Memory used [KB]: 5373
% 0.20/0.53 % (1133)Time elapsed: 0.117 s
% 0.20/0.53 % (1133)Instructions burned: 1 (million)
% 0.20/0.53 % (1133)------------------------------
% 0.20/0.53 % (1133)------------------------------
% 0.20/0.53 % (1132)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.20/0.54 % (1140)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.20/0.54 % (1125)Instruction limit reached!
% 0.20/0.54 % (1125)------------------------------
% 0.20/0.54 % (1125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1125)Termination reason: Unknown
% 0.20/0.54 % (1125)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (1125)Memory used [KB]: 5500
% 0.20/0.54 % (1125)Time elapsed: 0.121 s
% 0.20/0.54 % (1125)Instructions burned: 5 (million)
% 0.20/0.54 % (1125)------------------------------
% 0.20/0.54 % (1125)------------------------------
% 0.20/0.54 % (1117)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.54 % (1143)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 0.20/0.54 % (1120)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.20/0.54 % (1124)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.20/0.54 % (1117)Instruction limit reached!
% 0.20/0.54 % (1117)------------------------------
% 0.20/0.54 % (1117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1117)Termination reason: Unknown
% 0.20/0.54 % (1117)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (1117)Memory used [KB]: 5373
% 0.20/0.54 % (1117)Time elapsed: 0.003 s
% 0.20/0.54 % (1117)Instructions burned: 2 (million)
% 0.20/0.54 % (1117)------------------------------
% 0.20/0.54 % (1117)------------------------------
% 0.20/0.54 % (1118)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.54 % (1115)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.20/0.54 % (1119)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.20/0.54 % (1141)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.54 % (1116)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.20/0.54 % (1141)Refutation not found, incomplete strategy% (1141)------------------------------
% 0.20/0.54 % (1141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1141)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (1141)Memory used [KB]: 5373
% 0.20/0.54 % (1141)Time elapsed: 0.123 s
% 0.20/0.54 % (1141)Instructions burned: 1 (million)
% 0.20/0.54 % (1141)------------------------------
% 0.20/0.54 % (1141)------------------------------
% 0.20/0.55 % (1132)Refutation not found, incomplete strategy% (1132)------------------------------
% 0.20/0.55 % (1132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1132)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (1132)Memory used [KB]: 5373
% 0.20/0.55 % (1132)Time elapsed: 0.137 s
% 0.20/0.55 % (1132)Instructions burned: 1 (million)
% 0.20/0.55 % (1132)------------------------------
% 0.20/0.55 % (1132)------------------------------
% 0.20/0.55 % (1129)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.55 % (1116)Instruction limit reached!
% 0.20/0.55 % (1116)------------------------------
% 0.20/0.55 % (1116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1116)Termination reason: Unknown
% 0.20/0.55 % (1116)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (1116)Memory used [KB]: 5628
% 0.20/0.55 % (1116)Time elapsed: 0.138 s
% 0.20/0.55 % (1116)Instructions burned: 9 (million)
% 0.20/0.55 % (1116)------------------------------
% 0.20/0.55 % (1116)------------------------------
% 0.20/0.55 % (1128)First to succeed.
% 0.20/0.55 % (1128)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (1128)------------------------------
% 0.20/0.55 % (1128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1128)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (1128)Memory used [KB]: 5628
% 0.20/0.55 % (1128)Time elapsed: 0.082 s
% 0.20/0.55 % (1128)Instructions burned: 6 (million)
% 0.20/0.55 % (1128)------------------------------
% 0.20/0.55 % (1128)------------------------------
% 0.20/0.55 % (1113)Success in time 0.187 s
%------------------------------------------------------------------------------