TSTP Solution File: ARI622_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI622_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 : n012.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 15:46:39 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 128 ( 42 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 156 ( 56 ~; 49 |; 41 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 197 ( 18 atm; 45 fun; 83 num; 51 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 : 9 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 34 !; 17 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int > $int ).
tff(pred_def_1,type,
pow2: $int > $o ).
tff(f101,plain,
$false,
inference(resolution,[],[f89,f85]) ).
tff(f85,plain,
~ pow2(8),
inference(evaluation,[],[f84]) ).
tff(f84,plain,
~ pow2($uminus($sum(2,$uminus(10)))),
inference(gaussian_variable_elimination,[],[f74]) ).
tff(f74,plain,
! [X0: $int] :
( ~ pow2($uminus(X0))
| ( 2 != $sum(10,X0) ) ),
inference(constrained_resolution,[],[f40,f66]) ).
tff(f66,plain,
pow2(2),
inference(evaluation,[],[f65]) ).
tff(f65,plain,
( pow2($product(2,1))
| $less($product(2,1),2) ),
inference(resolution,[],[f37,f36]) ).
tff(f36,plain,
pow2(1),
inference(equality_resolution,[],[f33]) ).
tff(f33,plain,
! [X2: $int] :
( pow2(X2)
| ( 1 != X2 ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
( ! [X0: $int,X1: $int] :
( ~ pow2(X1)
| ~ pow2(X0)
| ( 10 != $sum(X1,X0) ) )
& ! [X2: $int] :
( ( pow2(X2)
| ( ( 1 != X2 )
& ( $less(X2,2)
| ! [X3: $int] :
( ~ pow2(X3)
| ( $product(2,X3) != X2 ) ) ) ) )
& ( ( 1 = X2 )
| ( ~ $less(X2,2)
& pow2(sK0(X2))
& ( $product(2,sK0(X2)) = X2 ) )
| ~ pow2(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
tff(f27,plain,
! [X2: $int] :
( ? [X4: $int] :
( pow2(X4)
& ( $product(2,X4) = X2 ) )
=> ( pow2(sK0(X2))
& ( $product(2,sK0(X2)) = X2 ) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
( ! [X0: $int,X1: $int] :
( ~ pow2(X1)
| ~ pow2(X0)
| ( 10 != $sum(X1,X0) ) )
& ! [X2: $int] :
( ( pow2(X2)
| ( ( 1 != X2 )
& ( $less(X2,2)
| ! [X3: $int] :
( ~ pow2(X3)
| ( $product(2,X3) != X2 ) ) ) ) )
& ( ( 1 = X2 )
| ( ~ $less(X2,2)
& ? [X4: $int] :
( pow2(X4)
& ( $product(2,X4) = X2 ) ) )
| ~ pow2(X2) ) ) ),
inference(rectify,[],[f25]) ).
tff(f25,plain,
( ! [X2: $int,X3: $int] :
( ~ pow2(X3)
| ~ pow2(X2)
| ( 10 != $sum(X3,X2) ) )
& ! [X0: $int] :
( ( pow2(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 ) ) )
| ~ pow2(X0) ) ) ),
inference(flattening,[],[f24]) ).
tff(f24,plain,
( ! [X2: $int,X3: $int] :
( ~ pow2(X3)
| ~ pow2(X2)
| ( 10 != $sum(X3,X2) ) )
& ! [X0: $int] :
( ( pow2(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 ) ) )
| ~ pow2(X0) ) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X2: $int,X3: $int] :
( ~ pow2(X3)
| ~ pow2(X2)
| ( 10 != $sum(X3,X2) ) )
& ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) ) ) ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f22,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) ) ) )
=> ? [X3: $int,X2: $int] :
( pow2(X3)
& pow2(X2)
& ( 10 = $sum(X3,X2) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ~ $less(X0,2)
& ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) ) ) ) )
=> ? [X1: $int,X0: $int] :
( pow2(X0)
& ( $sum(X0,X1) = 10 )
& pow2(X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) ) ) )
=> ? [X1: $int,X0: $int] :
( pow2(X0)
& ( $sum(X0,X1) = 10 )
& pow2(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] :
( pow2(X0)
<=> ( ( 1 = X0 )
| ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) ) ) )
=> ? [X1: $int,X0: $int] :
( pow2(X0)
& ( $sum(X0,X1) = 10 )
& pow2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_of_pows_of_2_eq_10) ).
tff(f37,plain,
! [X3: $int] :
( ~ pow2(X3)
| $less($product(2,X3),2)
| pow2($product(2,X3)) ),
inference(equality_resolution,[],[f32]) ).
tff(f32,plain,
! [X2: $int,X3: $int] :
( pow2(X2)
| $less(X2,2)
| ~ pow2(X3)
| ( $product(2,X3) != X2 ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f40,plain,
! [X0: $int] :
( ~ pow2($sum(10,X0))
| ~ pow2($uminus(X0)) ),
inference(superposition,[],[f38,f14]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f38,plain,
! [X0: $int] :
( ~ pow2($sum(10,$uminus(X0)))
| ~ pow2(X0) ),
inference(gaussian_variable_elimination,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: $int] :
( ~ pow2(X1)
| ~ pow2(X0)
| ( 10 != $sum(X1,X0) ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f89,plain,
pow2(8),
inference(evaluation,[],[f86]) ).
tff(f86,plain,
( pow2($product(2,4))
| $less($product(2,4),2) ),
inference(resolution,[],[f73,f37]) ).
tff(f73,plain,
pow2(4),
inference(evaluation,[],[f68]) ).
tff(f68,plain,
( pow2($product(2,2))
| $less($product(2,2),2) ),
inference(resolution,[],[f66,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI622=1 : TPTP v8.1.0. Released v5.1.0.
% 0.10/0.13 % 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 : n012.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 : Mon Aug 29 15:50:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (23846)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)
% 0.20/0.50 % (23831)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)
% 0.20/0.51 % (23854)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)
% 0.20/0.51 % (23838)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)
% 0.20/0.51 % (23838)Instruction limit reached!
% 0.20/0.51 % (23838)------------------------------
% 0.20/0.51 % (23838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23838)Termination reason: Unknown
% 0.20/0.51 % (23838)Termination phase: Preprocessing 1
% 0.20/0.51
% 0.20/0.51 % (23838)Memory used [KB]: 895
% 0.20/0.51 % (23838)Time elapsed: 0.003 s
% 0.20/0.51 % (23838)Instructions burned: 2 (million)
% 0.20/0.51 % (23838)------------------------------
% 0.20/0.51 % (23838)------------------------------
% 0.20/0.52 % (23831)Instruction limit reached!
% 0.20/0.52 % (23831)------------------------------
% 0.20/0.52 % (23831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (23831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (23831)Termination reason: Unknown
% 0.20/0.52 % (23831)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (23831)Memory used [KB]: 5628
% 0.20/0.52 % (23831)Time elapsed: 0.115 s
% 0.20/0.52 % (23831)Instructions burned: 9 (million)
% 0.20/0.52 % (23831)------------------------------
% 0.20/0.52 % (23831)------------------------------
% 0.20/0.52 % (23851)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)
% 0.20/0.52 % (23853)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)
% 0.20/0.52 % (23840)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)
% 0.20/0.52 % (23836)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)
% 0.20/0.53 % (23833)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)
% 0.20/0.53 % (23834)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)
% 0.20/0.53 % (23843)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)
% 0.20/0.53 % (23843)First to succeed.
% 0.20/0.53 % (23832)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)
% 0.20/0.53 % (23832)Instruction limit reached!
% 0.20/0.53 % (23832)------------------------------
% 0.20/0.53 % (23832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23832)Termination reason: Unknown
% 0.20/0.53 % (23832)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (23832)Memory used [KB]: 895
% 0.20/0.53 % (23832)Time elapsed: 0.002 s
% 0.20/0.53 % (23832)Instructions burned: 2 (million)
% 0.20/0.53 % (23832)------------------------------
% 0.20/0.53 % (23832)------------------------------
% 0.20/0.53 % (23858)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)
% 0.20/0.53 % (23850)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)
% 0.20/0.53 % (23829)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)
% 0.20/0.53 % (23848)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)
% 0.20/0.53 % (23848)Instruction limit reached!
% 0.20/0.53 % (23848)------------------------------
% 0.20/0.53 % (23848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23848)Termination reason: Unknown
% 0.20/0.53 % (23848)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (23848)Memory used [KB]: 895
% 0.20/0.53 % (23848)Time elapsed: 0.003 s
% 0.20/0.53 % (23848)Instructions burned: 2 (million)
% 0.20/0.53 % (23848)------------------------------
% 0.20/0.53 % (23848)------------------------------
% 0.20/0.54 % (23845)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (23849)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)
% 0.20/0.54 % (23855)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54 % (23845)Instruction limit reached!
% 0.20/0.54 % (23845)------------------------------
% 0.20/0.54 % (23845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23845)Termination reason: Unknown
% 0.20/0.54 % (23845)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23845)Memory used [KB]: 5500
% 0.20/0.54 % (23845)Time elapsed: 0.141 s
% 0.20/0.54 % (23845)Instructions burned: 2 (million)
% 0.20/0.54 % (23845)------------------------------
% 0.20/0.54 % (23845)------------------------------
% 0.20/0.54 % (23835)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)
% 0.20/0.54 % (23837)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)
% 0.20/0.54 % (23840)Instruction limit reached!
% 0.20/0.54 % (23840)------------------------------
% 0.20/0.54 % (23840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23840)Termination reason: Unknown
% 0.20/0.54 % (23840)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23840)Memory used [KB]: 5500
% 0.20/0.54 % (23840)Time elapsed: 0.128 s
% 0.20/0.54 % (23840)Instructions burned: 4 (million)
% 0.20/0.54 % (23840)------------------------------
% 0.20/0.54 % (23840)------------------------------
% 0.20/0.54 % (23842)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (23841)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)
% 0.20/0.54 % (23856)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (23839)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.54 % (23830)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)
% 0.20/0.55 % (23847)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)
% 0.20/0.55 % (23843)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 % (23843)------------------------------
% 0.20/0.55 % (23843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23843)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (23843)Memory used [KB]: 5500
% 0.20/0.55 % (23843)Time elapsed: 0.086 s
% 0.20/0.55 % (23843)Instructions burned: 4 (million)
% 0.20/0.55 % (23843)------------------------------
% 0.20/0.55 % (23843)------------------------------
% 0.20/0.55 % (23828)Success in time 0.202 s
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