TSTP Solution File: SYN000_5 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN000_5 : TPTP v8.1.0. Bugfixed v5.5.1.
% 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 : n011.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 19:25:09 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 26 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 14 ~; 7 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 102 ( 16 atm; 38 fun; 27 num; 21 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 9 usr; 10 con; 0-2 aty)
% Number of variables : 22 ( 11 !; 11 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a_int: $int ).
tff(func_def_1,type,
a_rat: $rat ).
tff(func_def_2,type,
a_real: $real ).
tff(func_def_78,type,
sK0: $rat > $rat ).
tff(func_def_79,type,
sK1: $rat ).
tff(func_def_80,type,
sK2: $int > $int ).
tff(func_def_81,type,
sK3: $real ).
tff(func_def_82,type,
sK4: $real ).
tff(func_def_83,type,
sK5: $real > $real ).
tff(pred_def_1,type,
p_int: $int > $o ).
tff(pred_def_2,type,
p_rat: $rat > $o ).
tff(pred_def_3,type,
p_real: $real > $o ).
tff(f307,plain,
$false,
inference(evaluation,[],[f303]) ).
tff(f303,plain,
~ $less($to_int($to_rat(2)),3),
inference(superposition,[],[f296,f106]) ).
tff(f106,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f296,plain,
! [X1: $int] : ~ $less($to_int($to_rat($sum(2,X1))),3),
inference(superposition,[],[f291,f104]) ).
tff(f104,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f291,plain,
! [X1: $int] : ~ $less($to_int($to_rat($sum(X1,2))),3),
inference(equality_resolution,[],[f260]) ).
tff(f260,plain,
! [X0: $rat,X1: $int] :
( ( $to_rat($sum(X1,2)) != X0 )
| ~ $less($to_int(X0),3) ),
inference(cnf_transformation,[],[f198]) ).
tff(f198,plain,
! [X0: $rat,X1: $int] :
( ( $to_rat($sum(X1,2)) != X0 )
| ( ~ $less($to_int(X0),3)
& ~ $less(3.3,$to_real(X0)) ) ),
inference(rectify,[],[f185]) ).
tff(f185,plain,
! [X0: $rat,X2: $int] :
( ( $to_rat($sum(X2,2)) != X0 )
| ( ~ $less($to_int(X0),3)
& ~ $less(3.3,$to_real(X0)) ) ),
inference(ennf_transformation,[],[f182]) ).
tff(f182,plain,
~ ? [X0: $rat,X2: $int] :
( ( $less(3.3,$to_real(X0))
| $less($to_int(X0),3) )
& ( $to_rat($sum(X2,2)) = X0 ) ),
inference(rectify,[],[f98]) ).
tff(f98,plain,
~ ? [X1: $rat,X2,X0: $int] :
( ( $less($to_int(X1),3)
| $less(3.3,$to_real(X1)) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(theory_normalization,[],[f78]) ).
tff(f78,negated_conjecture,
~ ? [X1: $rat,X2: $real,X0: $int] :
( ( $less($to_int(X1),3)
| $greater($to_real(X1),3.3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(negated_conjecture,[],[f77]) ).
tff(f77,conjecture,
? [X1: $rat,X2: $real,X0: $int] :
( ( $less($to_int(X1),3)
| $greater($to_real(X1),3.3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN000=2 : TPTP v8.1.0. Bugfixed v5.5.1.
% 0.07/0.14 % 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 : n011.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 21:17:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.41 % (6471)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 (2999ds/34Mi)
% 0.20/0.41 % (6472)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 (2999ds/8Mi)
% 0.20/0.41 % (6474)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 (2999ds/37Mi)
% 0.20/0.41 % (6473)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 (2999ds/2Mi)
% 0.20/0.41 % (6475)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.41 % (6476)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 (2999ds/32Mi)
% 0.20/0.41 % (6473)Instruction limit reached!
% 0.20/0.41 % (6473)------------------------------
% 0.20/0.41 % (6473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.41 % (6473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.41 % (6473)Termination reason: Unknown
% 0.20/0.41 % (6473)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (6473)Memory used [KB]: 1023
% 0.20/0.41 % (6473)Time elapsed: 0.003 s
% 0.20/0.41 % (6473)Instructions burned: 2 (million)
% 0.20/0.41 % (6473)------------------------------
% 0.20/0.41 % (6473)------------------------------
% 0.20/0.42 % (6494)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.42 % (6470)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 (2999ds/59848Mi)
% 0.20/0.42 % (6481)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.42 % (6493)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.42 % (6471)First to succeed.
% 0.20/0.42 % (6481)Instruction limit reached!
% 0.20/0.42 % (6481)------------------------------
% 0.20/0.42 % (6481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.42 % (6481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.42 % (6481)Termination reason: Unknown
% 0.20/0.42 % (6481)Termination phase: Preprocessing 1
% 0.20/0.42
% 0.20/0.42 % (6481)Memory used [KB]: 1023
% 0.20/0.42 % (6481)Time elapsed: 0.004 s
% 0.20/0.42 % (6481)Instructions burned: 4 (million)
% 0.20/0.42 % (6481)------------------------------
% 0.20/0.42 % (6481)------------------------------
% 0.20/0.42 % (6488)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.42 % (6492)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 (2999ds/46Mi)
% 0.20/0.42 % (6488)Refutation not found, incomplete strategy% (6488)------------------------------
% 0.20/0.42 % (6488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.42 % (6488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.42 % (6488)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (6485)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 (2999ds/2Mi)
% 0.20/0.42 % (6488)Memory used [KB]: 5500
% 0.20/0.42 % (6488)Time elapsed: 0.004 s
% 0.20/0.42 % (6488)Instructions burned: 3 (million)
% 0.20/0.42 % (6488)------------------------------
% 0.20/0.42 % (6488)------------------------------
% 0.20/0.43 % (6498)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.43 % (6499)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 (2999ds/41Mi)
% 0.20/0.43 % (6495)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.43 % (6497)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.43 % (6472)Instruction limit reached!
% 0.20/0.43 % (6472)------------------------------
% 0.20/0.43 % (6472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.43 % (6472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.43 % (6472)Termination reason: Unknown
% 0.20/0.43 % (6472)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (6472)Memory used [KB]: 5628
% 0.20/0.43 % (6472)Time elapsed: 0.009 s
% 0.20/0.43 % (6472)Instructions burned: 8 (million)
% 0.20/0.43 % (6472)------------------------------
% 0.20/0.43 % (6472)------------------------------
% 0.20/0.43 % (6485)Instruction limit reached!
% 0.20/0.43 % (6485)------------------------------
% 0.20/0.43 % (6485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.43 % (6485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.43 % (6485)Termination reason: Unknown
% 0.20/0.43 % (6485)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (6485)Memory used [KB]: 1023
% 0.20/0.43 % (6485)Time elapsed: 0.008 s
% 0.20/0.43 % (6485)Instructions burned: 2 (million)
% 0.20/0.43 % (6485)------------------------------
% 0.20/0.43 % (6485)------------------------------
% 0.20/0.43 % (6484)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 (2999ds/50Mi)
% 0.20/0.43 % (6486)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.43 % (6486)Instruction limit reached!
% 0.20/0.43 % (6486)------------------------------
% 0.20/0.43 % (6486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.43 % (6486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.43 % (6486)Termination reason: Unknown
% 0.20/0.43 % (6486)Termination phase: Preprocessing 1
% 0.20/0.43
% 0.20/0.43 % (6486)Memory used [KB]: 1023
% 0.20/0.43 % (6486)Time elapsed: 0.003 s
% 0.20/0.43 % (6486)Instructions burned: 2 (million)
% 0.20/0.43 % (6486)------------------------------
% 0.20/0.43 % (6486)------------------------------
% 0.20/0.43 % (6480)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.43 % (6491)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.43 % (6490)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.43 % (6489)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 (2999ds/2Mi)
% 0.20/0.43 % (6487)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.43 % (6477)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.44 % (6478)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.44 % (6500)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.44 % (6496)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.44 % (6479)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.44 % (6483)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.44 % (6482)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.44 % (6500)Refutation not found, incomplete strategy% (6500)------------------------------
% 0.20/0.44 % (6500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44 % (6500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44 % (6500)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44 % (6500)Memory used [KB]: 5500
% 0.20/0.44 % (6500)Time elapsed: 0.029 s
% 0.20/0.44 % (6500)Instructions burned: 3 (million)
% 0.20/0.44 % (6500)------------------------------
% 0.20/0.44 % (6500)------------------------------
% 0.20/0.44 % (6479)Instruction limit reached!
% 0.20/0.44 % (6479)------------------------------
% 0.20/0.44 % (6479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44 % (6482)Instruction limit reached!
% 0.20/0.44 % (6482)------------------------------
% 0.20/0.44 % (6482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44 % (6482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44 % (6479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44 % (6482)Termination reason: Unknown
% 0.20/0.44 % (6479)Termination reason: Unknown
% 0.20/0.44 % (6482)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (6479)Termination phase: Including theory axioms
% 0.20/0.44
% 0.20/0.44 % (6482)Memory used [KB]: 1023
% 0.20/0.44 % (6479)Memory used [KB]: 1023
% 0.20/0.44 % (6482)Time elapsed: 0.003 s
% 0.20/0.44 % (6479)Time elapsed: 0.003 s
% 0.20/0.44 % (6482)Instructions burned: 2 (million)
% 0.20/0.44 % (6479)Instructions burned: 2 (million)
% 0.20/0.44 % (6482)------------------------------
% 0.20/0.44 % (6482)------------------------------
% 0.20/0.44 % (6479)------------------------------
% 0.20/0.44 % (6479)------------------------------
% 0.20/0.44 % (6501)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.45 % (6502)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.45 % (6471)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (6471)------------------------------
% 0.20/0.45 % (6471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (6471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (6471)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (6471)Memory used [KB]: 5756
% 0.20/0.45 % (6471)Time elapsed: 0.010 s
% 0.20/0.45 % (6471)Instructions burned: 9 (million)
% 0.20/0.45 % (6471)------------------------------
% 0.20/0.45 % (6471)------------------------------
% 0.20/0.45 % (6468)Success in time 0.086 s
%------------------------------------------------------------------------------