TSTP Solution File: ARI734_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI734_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Tue Apr 30 10:36:13 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 124 ( 94 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 160 ( 72 ~; 51 |; 24 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 287 ( 7 atm; 104 fun; 130 num; 46 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 35 !; 11 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f1187,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f61,f145,f1180]) ).
tff(f1180,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f1179]) ).
tff(f1179,plain,
( $false
| spl1_2 ),
inference(evaluation,[],[f1174]) ).
tff(f1174,plain,
( ( $product(2,sK0) != $product(2,$sum(1,$sum(-1,sK0))) )
| spl1_2 ),
inference(superposition,[],[f71,f326]) ).
tff(f326,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f19,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f71,plain,
( ( $product(2,sK0) != $sum(2,$product(2,$sum(-1,sK0))) )
| spl1_2 ),
inference(superposition,[],[f53,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f53,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(-1,sK0)),2) )
| spl1_2 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f51,plain,
( spl1_2
<=> ( $product(2,sK0) = $sum($product(2,$sum(-1,sK0)),2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f145,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f144]) ).
tff(f144,plain,
( $false
| spl1_1
| ~ spl1_3 ),
inference(evaluation,[],[f125]) ).
tff(f125,plain,
( ( 0 != $product(2,0) )
| spl1_1
| ~ spl1_3 ),
inference(backward_demodulation,[],[f49,f59]) ).
tff(f59,plain,
( ( 0 = sK0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f57,plain,
( spl1_3
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f49,plain,
( ( 0 != $product(2,sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f47,plain,
( spl1_1
<=> ( 0 = $product(2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f61,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f39,f57,f47]) ).
tff(f39,plain,
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) ) ),
inference(equality_resolution,[],[f38]) ).
tff(f38,plain,
! [X3: $int] :
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f37]) ).
tff(f37,plain,
! [X2: $int,X3: $int] :
( ( 0 != sK0 )
| ( 0 != $product(2,sK0) )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f27]) ).
tff(f27,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( 0 != sK0 )
| ( 0 != X1 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != sK0 ) )
| ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f23]) ).
tff(f23,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != X0 ) )
| ( ( 0 != X1 )
& ( 0 = X0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) )
=> ( ! [X1: $int] :
( ( $product(2,sK0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != sK0 ) )
| ( ( 0 != X1 )
& ( 0 = sK0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ) ) )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int] :
( ! [X1: $int] :
( ( $product(2,X0) != X1 )
| ! [X2: $int] :
( ( ( $sum(X2,2) != X1 )
& ( 0 != X0 ) )
| ( ( 0 != X1 )
& ( 0 = X0 ) )
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ( $sum(X0,$uminus(1)) != X3 ) ) ) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $sum(X0,$uminus(1)) = X3 ) ) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $difference(X0,1) = X3 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ? [X1: $int] :
( ( $product(2,X0) = X1 )
& ? [X2: $int] :
( ( ( 0 != X0 )
=> ( $sum(X2,2) = X1 ) )
& ( ( 0 = X0 )
=> ( 0 = X1 ) )
& ? [X3: $int] :
( ( $product(2,X3) = X2 )
& ( $difference(X0,1) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula) ).
tff(f60,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f55,f51,f57]) ).
tff(f55,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(-1,sK0)),2) )
| ( 0 = sK0 ) ),
inference(forward_demodulation,[],[f43,f4]) ).
tff(f43,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) )
| ( 0 = sK0 ) ),
inference(evaluation,[],[f36]) ).
tff(f36,plain,
( ( $product(2,sK0) != $sum($product(2,$sum(sK0,$uminus(1))),2) )
| ( 0 = sK0 ) ),
inference(equality_resolution,[],[f35]) ).
tff(f35,plain,
! [X3: $int] :
( ( $product(2,sK0) != $sum($product(2,X3),2) )
| ( 0 = sK0 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f34]) ).
tff(f34,plain,
! [X2: $int,X3: $int] :
( ( $sum(X2,2) != $product(2,sK0) )
| ( 0 = sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(equality_resolution,[],[f28]) ).
tff(f28,plain,
! [X2: $int,X3: $int,X1: $int] :
( ( $product(2,sK0) != X1 )
| ( $sum(X2,2) != X1 )
| ( 0 = sK0 )
| ( $product(2,X3) != X2 )
| ( $sum(sK0,$uminus(1)) != X3 ) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI734_1 : TPTP v8.1.2. Released v6.4.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 05:49:56 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % (23515)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (23519)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (23519)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.35 % (23519)Terminated due to inappropriate strategy.
% 0.13/0.35 % (23519)------------------------------
% 0.13/0.35 % (23519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.35 % (23519)Termination reason: Inappropriate
% 0.13/0.35
% 0.13/0.35 % (23519)Memory used [KB]: 727
% 0.13/0.35 % (23519)Time elapsed: 0.001 s
% 0.13/0.35 % (23519)Instructions burned: 2 (million)
% 0.13/0.35 % (23519)------------------------------
% 0.13/0.35 % (23519)------------------------------
% 0.13/0.35 % (23518)WARNING: value z3 for option sas not known
% 0.13/0.35 % (23516)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (23517)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (23521)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.35 % (23518)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.35 % (23522)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (23520)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (23516)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (23516)Terminated due to inappropriate strategy.
% 0.13/0.36 % (23516)------------------------------
% 0.13/0.36 % (23516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (23516)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (23516)Memory used [KB]: 727
% 0.13/0.36 % (23516)Time elapsed: 0.002 s
% 0.13/0.36 % (23517)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (23516)Instructions burned: 2 (million)
% 0.13/0.36 % (23516)------------------------------
% 0.13/0.36 % (23516)------------------------------
% 0.13/0.36 % (23517)Terminated due to inappropriate strategy.
% 0.13/0.36 % (23517)------------------------------
% 0.13/0.36 % (23517)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (23517)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (23517)Memory used [KB]: 728
% 0.13/0.36 % (23517)Time elapsed: 0.002 s
% 0.13/0.36 % (23517)Instructions burned: 2 (million)
% 0.13/0.36 % (23517)------------------------------
% 0.13/0.36 % (23517)------------------------------
% 0.13/0.36 % (23523)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.36 % (23523)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36 % (23523)Terminated due to inappropriate strategy.
% 0.13/0.36 % (23523)------------------------------
% 0.13/0.36 % (23523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (23523)Termination reason: Inappropriate
% 0.13/0.36
% 0.13/0.36 % (23523)Memory used [KB]: 727
% 0.13/0.36 % (23523)Time elapsed: 0.002 s
% 0.13/0.36 % (23523)Instructions burned: 2 (million)
% 0.13/0.36 % (23523)------------------------------
% 0.13/0.36 % (23523)------------------------------
% 0.13/0.37 % (23526)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.13/0.37 % (23524)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.37 % (23525)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.18/0.42 % (23525)First to succeed.
% 0.18/0.43 % (23525)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.43 % (23525)------------------------------
% 0.18/0.43 % (23525)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.43 % (23525)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (23525)Memory used [KB]: 1253
% 0.18/0.43 % (23525)Time elapsed: 0.054 s
% 0.18/0.43 % (23525)Instructions burned: 90 (million)
% 0.18/0.43 % (23525)------------------------------
% 0.18/0.43 % (23525)------------------------------
% 0.18/0.43 % (23515)Success in time 0.076 s
%------------------------------------------------------------------------------