TSTP Solution File: ARI620_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI620_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 : n017.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 15:48:44 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 6 unt; 2 typ; 0 def)
% Number of atoms : 93 ( 28 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 106 ( 34 ~; 33 |; 31 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 137 ( 17 atm; 23 fun; 72 num; 25 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 17 !; 8 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int > $int ).
tff(pred_def_1,type,
pow2: $int > $o ).
tff(f54,plain,
$false,
inference(subsumption_resolution,[],[f51,f28]) ).
tff(f28,plain,
~ pow2(8),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ! [X0: $int] :
( ( pow2(X0)
| ( ( 1 != X0 )
& ( ! [X1: $int] :
( ( $product(2,X1) != X0 )
| ~ pow2(X1) )
| $less(X0,2) ) ) )
& ( ( 1 = X0 )
| ( ( $product(2,sK0(X0)) = X0 )
& pow2(sK0(X0))
& ~ $less(X0,2) )
| ~ pow2(X0) ) )
& ~ pow2(8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f26]) ).
tff(f26,plain,
! [X0: $int] :
( ? [X2: $int] :
( ( $product(2,X2) = X0 )
& pow2(X2) )
=> ( ( $product(2,sK0(X0)) = X0 )
& pow2(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
( ! [X0: $int] :
( ( pow2(X0)
| ( ( 1 != X0 )
& ( ! [X1: $int] :
( ( $product(2,X1) != X0 )
| ~ pow2(X1) )
| $less(X0,2) ) ) )
& ( ( 1 = X0 )
| ( ? [X2: $int] :
( ( $product(2,X2) = X0 )
& pow2(X2) )
& ~ $less(X0,2) )
| ~ pow2(X0) ) )
& ~ pow2(8) ),
inference(rectify,[],[f24]) ).
tff(f24,plain,
( ! [X0: $int] :
( ( pow2(X0)
| ( ( 1 != X0 )
& ( ! [X1: $int] :
( ( $product(2,X1) != X0 )
| ~ pow2(X1) )
| $less(X0,2) ) ) )
& ( ( 1 = X0 )
| ( ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) )
& ~ $less(X0,2) )
| ~ pow2(X0) ) )
& ~ pow2(8) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
( ! [X0: $int] :
( ( pow2(X0)
| ( ( 1 != X0 )
& ( ! [X1: $int] :
( ( $product(2,X1) != X0 )
| ~ pow2(X1) )
| $less(X0,2) ) ) )
& ( ( 1 = X0 )
| ( ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) )
& ~ $less(X0,2) )
| ~ pow2(X0) ) )
& ~ pow2(8) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
( ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) )
& ~ $less(X0,2) ) ) )
& ~ pow2(8) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) )
& ~ $less(X0,2) ) ) )
=> pow2(8) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( ( ( ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) )
& $lesseq(2,X0) )
| ( 1 = X0 ) )
<=> pow2(X0) )
=> pow2(8) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] :
( ( ( ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) )
& $lesseq(2,X0) )
| ( 1 = X0 ) )
<=> pow2(X0) )
=> pow2(8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_of_2_8) ).
tff(f51,plain,
pow2(8),
inference(evaluation,[],[f48]) ).
tff(f48,plain,
( $less($product(2,4),2)
| pow2($product(2,4)) ),
inference(resolution,[],[f47,f35]) ).
tff(f35,plain,
! [X1: $int] :
( ~ pow2(X1)
| $less($product(2,X1),2)
| pow2($product(2,X1)) ),
inference(equality_resolution,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: $int] :
( pow2(X0)
| ( $product(2,X1) != X0 )
| ~ pow2(X1)
| $less(X0,2) ),
inference(cnf_transformation,[],[f27]) ).
tff(f47,plain,
pow2(4),
inference(evaluation,[],[f42]) ).
tff(f42,plain,
( pow2($product(2,2))
| $less($product(2,2),2) ),
inference(resolution,[],[f41,f35]) ).
tff(f41,plain,
pow2(2),
inference(evaluation,[],[f40]) ).
tff(f40,plain,
( $less($product(2,1),2)
| pow2($product(2,1)) ),
inference(resolution,[],[f35,f34]) ).
tff(f34,plain,
pow2(1),
inference(equality_resolution,[],[f33]) ).
tff(f33,plain,
! [X0: $int] :
( pow2(X0)
| ( 1 != X0 ) ),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI620=1 : TPTP v8.1.0. Released v5.1.0.
% 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
% 0.13/0.34 % Computer : n017.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 21:19:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (28718)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (28717)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)
% 0.19/0.51 % (28738)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.51 % (28736)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)
% 0.19/0.52 % (28721)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52 % (28729)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)
% 0.19/0.52 % (28718)First to succeed.
% 0.19/0.52 % (28715)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)
% 0.19/0.52 % (28718)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (28718)------------------------------
% 0.19/0.52 % (28718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28718)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (28718)Memory used [KB]: 5373
% 0.19/0.52 % (28718)Time elapsed: 0.113 s
% 0.19/0.52 % (28718)Instructions burned: 3 (million)
% 0.19/0.52 % (28718)------------------------------
% 0.19/0.52 % (28718)------------------------------
% 0.19/0.52 % (28713)Success in time 0.178 s
%------------------------------------------------------------------------------