TSTP Solution File: ARI620_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n021.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 15:46:38 EDT 2022
% Result : Theorem 1.46s 0.55s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 108 ( 30 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 115 ( 36 ~; 37 |; 32 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 149 ( 18 atm; 24 fun; 77 num; 30 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 21 !; 9 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK1: $int > $int ).
tff(pred_def_1,type,
pow2: $int > $o ).
tff(pred_def_4,type,
sP0: $int > $o ).
tff(f124,plain,
$false,
inference(subsumption_resolution,[],[f118,f36]) ).
tff(f36,plain,
~ pow2(8),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ! [X0: $int] :
( ( sP0(X0)
| ~ pow2(X0) )
& ( pow2(X0)
| ~ sP0(X0) ) )
& ~ pow2(8) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X0: $int] :
( sP0(X0)
<=> pow2(X0) )
& ~ pow2(8) ),
inference(definition_folding,[],[f22,f23]) ).
tff(f23,plain,
! [X0: $int] :
( sP0(X0)
<=> ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f22,plain,
( ! [X0: $int] :
( ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) ) )
<=> pow2(X0) )
& ~ pow2(8) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) ) )
<=> pow2(X0) )
=> pow2(8) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) )
| ( 1 = X0 ) ) )
=> pow2(8) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) )
| ( 1 = X0 ) ) )
=> pow2(8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pow_of_2_8) ).
tff(f118,plain,
pow2(8),
inference(resolution,[],[f117,f37]) ).
tff(f37,plain,
! [X0: $int] :
( ~ sP0(X0)
| pow2(X0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f117,plain,
sP0(8),
inference(evaluation,[],[f116]) ).
tff(f116,plain,
( sP0($product(2,4))
| $less($product(2,4),2) ),
inference(resolution,[],[f53,f41]) ).
tff(f41,plain,
! [X1: $int] :
( ~ pow2(X1)
| sP0($product(2,X1))
| $less($product(2,X1),2) ),
inference(equality_resolution,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: $int] :
( sP0(X0)
| $less(X0,2)
| ~ pow2(X1)
| ( $product(2,X1) != X0 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( 1 != X0 )
& ( $less(X0,2)
| ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) ) ) ) )
& ( ( 1 = X0 )
| ( ~ $less(X0,2)
& pow2(sK1(X0))
& ( $product(2,sK1(X0)) = X0 ) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
tff(f28,plain,
! [X0: $int] :
( ? [X2: $int] :
( pow2(X2)
& ( $product(2,X2) = X0 ) )
=> ( pow2(sK1(X0))
& ( $product(2,sK1(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( 1 != X0 )
& ( $less(X0,2)
| ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) ) ) ) )
& ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X2: $int] :
( pow2(X2)
& ( $product(2,X2) = X0 ) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( 1 != X0 )
& ( $less(X0,2)
| ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) ) ) ) )
& ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: $int] :
( ( sP0(X0)
| ( ( 1 != X0 )
& ( $less(X0,2)
| ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) ) ) ) )
& ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f53,plain,
pow2(4),
inference(resolution,[],[f52,f37]) ).
tff(f52,plain,
sP0(4),
inference(evaluation,[],[f51]) ).
tff(f51,plain,
( $less($product(2,2),2)
| sP0($product(2,2)) ),
inference(resolution,[],[f45,f41]) ).
tff(f45,plain,
pow2(2),
inference(resolution,[],[f44,f37]) ).
tff(f44,plain,
sP0(2),
inference(evaluation,[],[f43]) ).
tff(f43,plain,
( sP0($product(2,1))
| $less($product(2,1),2) ),
inference(resolution,[],[f42,f41]) ).
tff(f42,plain,
pow2(1),
inference(resolution,[],[f37,f40]) ).
tff(f40,plain,
sP0(1),
inference(equality_resolution,[],[f35]) ).
tff(f35,plain,
! [X0: $int] :
( sP0(X0)
| ( 1 != X0 ) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI620=1 : TPTP v8.1.0. Released v5.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 02:20:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (3561)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)
% 0.19/0.54 % (3568)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)
% 1.46/0.54 % (3560)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)
% 1.46/0.54 % (3577)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)
% 1.46/0.55 % (3571)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)
% 1.46/0.55 % (3579)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)
% 1.46/0.55 % (3576)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)
% 1.46/0.55 % (3569)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)
% 1.46/0.55 % (3559)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)
% 1.46/0.55 % (3569)Instruction limit reached!
% 1.46/0.55 % (3569)------------------------------
% 1.46/0.55 % (3569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (3569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (3569)Termination reason: Unknown
% 1.46/0.55 % (3569)Termination phase: Property scanning
% 1.46/0.55
% 1.46/0.55 % (3569)Memory used [KB]: 895
% 1.46/0.55 % (3569)Time elapsed: 0.003 s
% 1.46/0.55 % (3569)Instructions burned: 2 (million)
% 1.46/0.55 % (3569)------------------------------
% 1.46/0.55 % (3569)------------------------------
% 1.46/0.55 % (3577)First to succeed.
% 1.46/0.55 % (3554)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)
% 1.46/0.55 % (3577)Refutation found. Thanks to Tanya!
% 1.46/0.55 % SZS status Theorem for theBenchmark
% 1.46/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.55 % (3577)------------------------------
% 1.46/0.55 % (3577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (3577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (3577)Termination reason: Refutation
% 1.46/0.55
% 1.46/0.55 % (3577)Memory used [KB]: 5500
% 1.46/0.55 % (3577)Time elapsed: 0.135 s
% 1.46/0.55 % (3577)Instructions burned: 3 (million)
% 1.46/0.55 % (3577)------------------------------
% 1.46/0.55 % (3577)------------------------------
% 1.46/0.55 % (3553)Success in time 0.205 s
%------------------------------------------------------------------------------