TSTP Solution File: ARI707_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI707_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 10:35:52 EDT 2024
% Result : Theorem 11.44s 2.05s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 24 unt; 2 typ; 0 def)
% Number of atoms : 67 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 182 ( 28 atm; 103 fun; 19 num; 32 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(func_def_1,type,
c: $int ).
tff(f48359,plain,
$false,
inference(avatar_sat_refutation,[],[f5566,f48343,f48352]) ).
tff(f48352,plain,
~ spl0_12,
inference(avatar_split_clause,[],[f48351,f5424]) ).
tff(f5424,plain,
( spl0_12
<=> $less(c,$product(d,d)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
tff(f48351,plain,
~ $less(c,$product(d,d)),
inference(subsumption_resolution,[],[f48350,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f48350,plain,
( $less($product(2,$product(d,d)),$product(2,$product(d,d)))
| ~ $less(c,$product(d,d)) ),
inference(forward_demodulation,[],[f46875,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f46875,plain,
( $less($product(2,$product(d,d)),$product($product(d,d),2))
| ~ $less(c,$product(d,d)) ),
inference(superposition,[],[f738,f1572]) ).
tff(f1572,plain,
! [X0: $int] : ( $sum(X0,X0) = $product(X0,2) ),
inference(evaluation,[],[f1517]) ).
tff(f1517,plain,
! [X0: $int] : ( $product(X0,$sum(1,1)) = $sum(X0,X0) ),
inference(superposition,[],[f322,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f322,plain,
! [X0: $int,X1: $int] : ( $product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f19,f17]) ).
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(f738,plain,
! [X0: $int] :
( $less($product(2,$product(d,d)),$sum(X0,$product(d,d)))
| ~ $less(c,X0) ),
inference(superposition,[],[f180,f279]) ).
tff(f279,plain,
$sum($product(d,d),c) = $product(2,$product(d,d)),
inference(backward_demodulation,[],[f26,f267]) ).
tff(f267,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1)) ),
inference(superposition,[],[f16,f15]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f26,plain,
$sum($product(d,d),c) = $product(d,$product(2,d)),
inference(forward_demodulation,[],[f24,f15]) ).
tff(f24,plain,
$sum($product(d,d),c) = $product($product(2,d),d),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$sum($product(d,d),c) = $product($product(2,d),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
tff(f180,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f48343,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f48342,f5414]) ).
tff(f5414,plain,
( spl0_10
<=> $less($product(d,d),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f48342,plain,
~ $less($product(d,d),c),
inference(subsumption_resolution,[],[f48341,f9]) ).
tff(f48341,plain,
( $less($product(2,$product(d,d)),$product(2,$product(d,d)))
| ~ $less($product(d,d),c) ),
inference(forward_demodulation,[],[f48305,f15]) ).
tff(f48305,plain,
( $less($product($product(d,d),2),$product(2,$product(d,d)))
| ~ $less($product(d,d),c) ),
inference(superposition,[],[f809,f1572]) ).
tff(f809,plain,
! [X0: $int] :
( $less($sum(X0,$product(d,d)),$product(2,$product(d,d)))
| ~ $less(X0,c) ),
inference(superposition,[],[f186,f279]) ).
tff(f186,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f5566,plain,
( spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f5565]) ).
tff(f5565,plain,
( $false
| spl0_10
| spl0_12 ),
inference(trivial_inequality_removal,[],[f5473]) ).
tff(f5473,plain,
( ( $product(c,c) != $product(c,c) )
| spl0_10
| spl0_12 ),
inference(backward_demodulation,[],[f271,f5472]) ).
tff(f5472,plain,
( ( $product(d,d) = c )
| spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f5469,f5426]) ).
tff(f5426,plain,
( ~ $less(c,$product(d,d))
| spl0_12 ),
inference(avatar_component_clause,[],[f5424]) ).
tff(f5469,plain,
( $less(c,$product(d,d))
| ( $product(d,d) = c )
| spl0_10 ),
inference(resolution,[],[f5416,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f5416,plain,
( ~ $less($product(d,d),c)
| spl0_10 ),
inference(avatar_component_clause,[],[f5414]) ).
tff(f271,plain,
$product(c,c) != $product(c,$product(d,d)),
inference(superposition,[],[f23,f16]) ).
tff(f23,plain,
$product($product(c,d),d) != $product(c,c),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
$product($product(c,d),d) != $product(c,c),
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ $product($product(c,d),d) = $product(c,c) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
$product($product(c,d),d) = $product(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI707_1 : TPTP v8.1.2. Released v6.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:39:18 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % (31725)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (31730)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)
% 0.22/0.38 % (31728)WARNING: value z3 for option sas not known
% 0.22/0.38 % (31726)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (31727)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (31729)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (31728)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)
% 0.22/0.38 % (31731)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)
% 0.22/0.38 % (31732)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)
% 0.22/0.38 % (31727)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (31729)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (31727)Terminated due to inappropriate strategy.
% 0.22/0.38 % (31727)------------------------------
% 0.22/0.38 % (31727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (31727)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (31727)Memory used [KB]: 723
% 0.22/0.38 % (31727)Time elapsed: 0.002 s
% 0.22/0.38 % (31727)Instructions burned: 2 (million)
% 0.22/0.38 % (31727)------------------------------
% 0.22/0.38 % (31727)------------------------------
% 0.22/0.38 % (31726)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.38 % (31729)Terminated due to inappropriate strategy.
% 0.22/0.38 % (31729)------------------------------
% 0.22/0.38 % (31729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (31729)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (31729)Memory used [KB]: 723
% 0.22/0.38 % (31729)Time elapsed: 0.002 s
% 0.22/0.38 % (31729)Instructions burned: 2 (million)
% 0.22/0.38 % (31729)------------------------------
% 0.22/0.38 % (31729)------------------------------
% 0.22/0.38 % (31726)Terminated due to inappropriate strategy.
% 0.22/0.38 % (31726)------------------------------
% 0.22/0.38 % (31726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (31726)Termination reason: Inappropriate
% 0.22/0.38
% 0.22/0.38 % (31726)Memory used [KB]: 723
% 0.22/0.38 % (31726)Time elapsed: 0.002 s
% 0.22/0.38 % (31726)Instructions burned: 2 (million)
% 0.22/0.38 % (31726)------------------------------
% 0.22/0.38 % (31726)------------------------------
% 0.22/0.39 % (31734)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)
% 0.22/0.39 % (31735)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)
% 0.22/0.39 % (31733)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.40 % (31733)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.40 % (31733)Terminated due to inappropriate strategy.
% 0.22/0.40 % (31733)------------------------------
% 0.22/0.40 % (31733)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (31733)Termination reason: Inappropriate
% 0.22/0.40
% 0.22/0.40 % (31733)Memory used [KB]: 723
% 0.22/0.40 % (31733)Time elapsed: 0.002 s
% 0.22/0.40 % (31733)Instructions burned: 2 (million)
% 0.22/0.40 % (31733)------------------------------
% 0.22/0.40 % (31733)------------------------------
% 0.22/0.41 % (31736)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)
% 11.44/2.05 % (31735)First to succeed.
% 11.44/2.05 % (31735)Refutation found. Thanks to Tanya!
% 11.44/2.05 % SZS status Theorem for theBenchmark
% 11.44/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 11.44/2.05 % (31735)------------------------------
% 11.44/2.05 % (31735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 11.44/2.05 % (31735)Termination reason: Refutation
% 11.44/2.05
% 11.44/2.05 % (31735)Memory used [KB]: 19700
% 11.44/2.05 % (31735)Time elapsed: 1.657 s
% 11.44/2.05 % (31735)Instructions burned: 5309 (million)
% 11.44/2.05 % (31735)------------------------------
% 11.44/2.05 % (31735)------------------------------
% 11.44/2.05 % (31725)Success in time 1.681 s
%------------------------------------------------------------------------------