TSTP Solution File: SYN000_5 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n003.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 19:36:31 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 26 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 26 ( 13 ~; 7 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 99 ( 15 atm; 38 fun; 26 num; 20 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 : 18 ( 9 usr; 10 con; 0-2 aty)
% Number of variables : 21 ( 10 !; 11 ?; 20 :)
% 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 ).
tff(func_def_79,type,
sK1: $int > $int ).
tff(func_def_80,type,
sK2: $real ).
tff(func_def_81,type,
sK3: $real ).
tff(func_def_82,type,
sK4: $real > $real ).
tff(func_def_83,type,
sK5: $rat > $rat ).
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(f394,plain,
$false,
inference(evaluation,[],[f393]) ).
tff(f393,plain,
~ $less($to_int($to_rat(0)),3),
inference(superposition,[],[f291,f378]) ).
tff(f378,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f108,f114]) ).
tff(f114,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f108,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f291,plain,
! [X1: $int] : ~ $less($to_int($to_rat($sum(X1,2))),3),
inference(equality_resolution,[],[f231]) ).
tff(f231,plain,
! [X0: $rat,X1: $int] :
( ~ $less($to_int(X0),3)
| ( $to_rat($sum(X1,2)) != X0 ) ),
inference(cnf_transformation,[],[f194]) ).
tff(f194,plain,
! [X0: $rat,X1: $int] :
( ( ~ $less(3.3,$to_real(X0))
& ~ $less($to_int(X0),3) )
| ( $to_rat($sum(X1,2)) != X0 ) ),
inference(rectify,[],[f186]) ).
tff(f186,plain,
! [X0: $rat,X2: $int] :
( ( ~ $less(3.3,$to_real(X0))
& ~ $less($to_int(X0),3) )
| ( $to_rat($sum(X2,2)) != X0 ) ),
inference(ennf_transformation,[],[f183]) ).
tff(f183,plain,
~ ? [X2: $int,X0: $rat] :
( ( $to_rat($sum(X2,2)) = X0 )
& ( $less($to_int(X0),3)
| $less(3.3,$to_real(X0)) ) ),
inference(rectify,[],[f98]) ).
tff(f98,plain,
~ ? [X1: $rat,X2,X0: $int] :
( ( $less(3.3,$to_real(X1))
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(theory_normalization,[],[f78]) ).
tff(f78,negated_conjecture,
~ ? [X1: $rat,X2: $real,X0: $int] :
( ( $greater($to_real(X1),3.3)
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(negated_conjecture,[],[f77]) ).
tff(f77,conjecture,
? [X1: $rat,X2: $real,X0: $int] :
( ( $greater($to_real(X1),3.3)
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN000=2 : TPTP v8.1.0. Bugfixed v5.5.1.
% 0.06/0.13 % 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 : n003.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 : Tue Aug 30 21:20:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.40 % (25702)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.40 % (25695)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 (2999ds/191324Mi)
% 0.19/0.40 % (25699)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.40 % (25700)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 (2999ds/48Mi)
% 0.19/0.40 % (25704)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 (2999ds/51Mi)
% 0.19/0.40 % (25705)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.40 % (25706)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.41 % (25702)Instruction limit reached!
% 0.19/0.41 % (25702)------------------------------
% 0.19/0.41 % (25702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.41 % (25717)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 (2999ds/498Mi)
% 0.19/0.41 % (25698)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.41 % (25696)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.41 % (25697)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 (2999ds/37Mi)
% 0.19/0.41 % (25718)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 (2999ds/467Mi)
% 0.19/0.41 % (25723)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.41 % (25724)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 (2999ds/355Mi)
% 0.19/0.41 % (25702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.41 % (25719)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.41 % (25702)Termination reason: Unknown
% 0.19/0.41 % (25702)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (25702)Memory used [KB]: 5500
% 0.19/0.41 % (25702)Time elapsed: 0.006 s
% 0.19/0.41 % (25702)Instructions burned: 7 (million)
% 0.19/0.41 % (25702)------------------------------
% 0.19/0.41 % (25702)------------------------------
% 0.19/0.41 % (25709)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 (2999ds/68Mi)
% 0.19/0.41 % (25710)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 (2999ds/75Mi)
% 0.19/0.42 % (25700)First to succeed.
% 0.19/0.42 % (25711)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 (2999ds/99Mi)
% 0.19/0.42 % (25706)Also succeeded, but the first one will report.
% 0.19/0.42 % (25700)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (25700)------------------------------
% 0.19/0.42 % (25700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.42 % (25700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.42 % (25700)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (25700)Memory used [KB]: 5628
% 0.19/0.42 % (25700)Time elapsed: 0.010 s
% 0.19/0.42 % (25700)Instructions burned: 10 (million)
% 0.19/0.42 % (25700)------------------------------
% 0.19/0.42 % (25700)------------------------------
% 0.19/0.42 % (25694)Success in time 0.073 s
%------------------------------------------------------------------------------