TSTP Solution File: ARI691_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI691_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 : n031.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 10:35:50 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 48 ( 28 unt; 3 typ; 0 def)
% Number of atoms : 64 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 14 ~; 7 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 100 ( 10 atm; 48 fun; 14 num; 28 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(func_def_2,type,
f: $int > $int ).
tff(f83,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f37,f41,f45,f49,f53,f57,f61,f65,f69,f77,f81,f82]) ).
tff(f82,plain,
spl0_2,
inference(avatar_split_clause,[],[f24,f34]) ).
tff(f34,plain,
( spl0_2
<=> ( $product(a,b) = f($product(a,b)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f24,plain,
$product(a,b) = f($product(a,b)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(a,b) = f($product(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq) ).
tff(f81,plain,
spl0_12,
inference(avatar_split_clause,[],[f21,f79]) ).
tff(f79,plain,
( spl0_12
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f77,plain,
spl0_11,
inference(avatar_split_clause,[],[f13,f75]) ).
tff(f75,plain,
( spl0_11
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f69,plain,
spl0_10,
inference(avatar_split_clause,[],[f15,f67]) ).
tff(f67,plain,
( spl0_10
<=> ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f65,plain,
spl0_9,
inference(avatar_split_clause,[],[f4,f63]) ).
tff(f63,plain,
( spl0_9
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f61,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f59]) ).
tff(f59,plain,
( spl0_8
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f57,plain,
spl0_7,
inference(avatar_split_clause,[],[f18,f55]) ).
tff(f55,plain,
( spl0_7
<=> ! [X0: $int] : ( 0 = $product(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_149,[]) ).
tff(f53,plain,
spl0_6,
inference(avatar_split_clause,[],[f17,f51]) ).
tff(f51,plain,
( spl0_6
<=> ! [X0: $int] : ( $product(X0,1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f49,plain,
spl0_5,
inference(avatar_split_clause,[],[f14,f47]) ).
tff(f47,plain,
( spl0_5
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f45,plain,
spl0_4,
inference(avatar_split_clause,[],[f6,f43]) ).
tff(f43,plain,
( spl0_4
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f41,plain,
spl0_3,
inference(avatar_split_clause,[],[f9,f39]) ).
tff(f39,plain,
( spl0_3
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f37,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f32,f28,f34]) ).
tff(f28,plain,
( spl0_1
<=> ( $product(a,b) = f(f($product(a,b))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f32,plain,
( ( $product(a,b) != f($product(a,b)) )
| spl0_1 ),
inference(forward_demodulation,[],[f30,f24]) ).
tff(f30,plain,
( ( $product(a,b) != f(f($product(a,b))) )
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f31,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f26,f28]) ).
tff(f26,plain,
$product(a,b) != f(f($product(a,b))),
inference(forward_demodulation,[],[f23,f15]) ).
tff(f23,plain,
f(f($product(a,b))) != $product(b,a),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
f(f($product(a,b))) != $product(b,a),
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ f(f($product(a,b))) = $product(b,a) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
f(f($product(a,b))) = $product(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI691_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 06:09:58 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (13838)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (13842)WARNING: value z3 for option sas not known
% 0.13/0.37 % (13841)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (13840)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (13842)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)
% 0.13/0.37 % (13844)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)
% 0.13/0.37 % (13846)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)
% 0.13/0.37 % (13845)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)
% 0.13/0.37 % (13840)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (13843)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (13840)Terminated due to inappropriate strategy.
% 0.13/0.37 % (13840)------------------------------
% 0.13/0.37 % (13840)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (13840)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (13840)Memory used [KB]: 723
% 0.13/0.37 % (13840)Time elapsed: 0.002 s
% 0.13/0.37 % (13841)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.37 % (13840)Instructions burned: 2 (million)
% 0.13/0.37 % (13840)------------------------------
% 0.13/0.37 % (13840)------------------------------
% 0.13/0.37 % (13841)Terminated due to inappropriate strategy.
% 0.13/0.37 % (13841)------------------------------
% 0.13/0.37 % (13841)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (13841)Termination reason: Inappropriate
% 0.13/0.37
% 0.13/0.37 % (13841)Memory used [KB]: 723
% 0.13/0.37 % (13841)Time elapsed: 0.002 s
% 0.13/0.37 % (13841)Instructions burned: 2 (million)
% 0.13/0.37 % (13841)------------------------------
% 0.13/0.37 % (13841)------------------------------
% 0.13/0.38 % (13843)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.38 % (13843)Terminated due to inappropriate strategy.
% 0.13/0.38 % (13843)------------------------------
% 0.13/0.38 % (13843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (13843)Termination reason: Inappropriate
% 0.13/0.38
% 0.13/0.38 % (13843)Memory used [KB]: 723
% 0.13/0.38 % (13843)Time elapsed: 0.002 s
% 0.13/0.38 % (13843)Instructions burned: 2 (million)
% 0.13/0.38 % (13843)------------------------------
% 0.13/0.38 % (13843)------------------------------
% 0.13/0.38 % (13844)First to succeed.
% 0.13/0.38 % (13845)Also succeeded, but the first one will report.
% 0.13/0.38 % (13842)Also succeeded, but the first one will report.
% 0.13/0.38 % (13844)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (13844)------------------------------
% 0.13/0.38 % (13844)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (13844)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (13844)Memory used [KB]: 765
% 0.13/0.38 % (13844)Time elapsed: 0.005 s
% 0.13/0.38 % (13844)Instructions burned: 5 (million)
% 0.13/0.38 % (13844)------------------------------
% 0.13/0.38 % (13844)------------------------------
% 0.13/0.38 % (13838)Success in time 0.019 s
%------------------------------------------------------------------------------