TSTP Solution File: ARI121_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI121_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Mon May 20 18:49:32 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 2 typ; 0 def)
% Number of atoms : 42 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 32 ( 11 ~; 3 |; 12 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 63 ( 0 atm; 16 fun; 37 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 4 !; 6 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int ).
tff(f48,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f41,f46,f47]) ).
tff(f47,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f36,f32,f38]) ).
tff(f38,plain,
( spl2_2
<=> ( sK0 = 42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f32,plain,
( spl2_1
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f36,plain,
( ( sK0 != 42 )
| spl2_1 ),
inference(forward_demodulation,[],[f34,f30]) ).
tff(f30,plain,
sK1 = 42,
inference(evaluation,[],[f26]) ).
tff(f26,plain,
$product(7,6) = sK1,
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ( sK0 != sK1 )
& ( $product(7,6) = sK1 )
& ( $product(6,7) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f22,f23]) ).
tff(f23,plain,
( ? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $product(7,6) = X1 )
& ( $product(6,7) = X0 ) )
=> ( ( sK0 != sK1 )
& ( $product(7,6) = sK1 )
& ( $product(6,7) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $product(7,6) = X1 )
& ( $product(6,7) = X0 ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $product(7,6) = X1 )
& ( $product(6,7) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ( $product(7,6) = X1 )
& ( $product(6,7) = X0 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( ( $product(7,6) = X1 )
& ( $product(6,7) = X0 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutative_product_6_7) ).
tff(f34,plain,
( ( sK0 != sK1 )
| spl2_1 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f46,plain,
spl2_3,
inference(avatar_split_clause,[],[f30,f43]) ).
tff(f43,plain,
( spl2_3
<=> ( sK1 = 42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f41,plain,
spl2_2,
inference(avatar_split_clause,[],[f29,f38]) ).
tff(f29,plain,
sK0 = 42,
inference(evaluation,[],[f25]) ).
tff(f25,plain,
$product(6,7) = sK0,
inference(cnf_transformation,[],[f24]) ).
tff(f35,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f27,f32]) ).
tff(f27,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI121_1 : TPTP v8.2.0. Released v5.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Sun May 19 13:15:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (15174)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15177)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15175)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15176)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (15178)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15179)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)
% 0.15/0.38 % (15177)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)
% 0.15/0.38 % (15176)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15175)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15180)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)
% 0.15/0.38 % (15175)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15175)------------------------------
% 0.15/0.38 % (15175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (15175)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (15175)Memory used [KB]: 725
% 0.15/0.38 % (15175)Time elapsed: 0.002 s
% 0.15/0.38 % (15175)Instructions burned: 2 (million)
% 0.15/0.38 % (15176)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15176)------------------------------
% 0.15/0.38 % (15176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (15178)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (15178)Terminated due to inappropriate strategy.
% 0.15/0.38 % (15178)------------------------------
% 0.15/0.38 % (15178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (15176)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (15176)Memory used [KB]: 725
% 0.15/0.38 % (15176)Time elapsed: 0.002 s
% 0.15/0.38 % (15176)Instructions burned: 2 (million)
% 0.15/0.38 % (15178)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (15178)Memory used [KB]: 725
% 0.15/0.38 % (15178)Time elapsed: 0.002 s
% 0.15/0.38 % (15178)Instructions burned: 2 (million)
% 0.15/0.39 % (15175)------------------------------
% 0.15/0.39 % (15175)------------------------------
% 0.15/0.39 % (15176)------------------------------
% 0.15/0.39 % (15176)------------------------------
% 0.15/0.39 % (15178)------------------------------
% 0.15/0.39 % (15178)------------------------------
% 0.15/0.39 % (15181)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)
% 0.15/0.39 % (15179)First to succeed.
% 0.15/0.39 % (15180)Also succeeded, but the first one will report.
% 0.15/0.39 % (15179)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15174"
% 0.15/0.39 % (15177)Also succeeded, but the first one will report.
% 0.15/0.39 % (15181)Also succeeded, but the first one will report.
% 0.15/0.39 % (15179)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (15179)------------------------------
% 0.15/0.39 % (15179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (15179)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (15179)Memory used [KB]: 752
% 0.15/0.39 % (15179)Time elapsed: 0.004 s
% 0.15/0.39 % (15179)Instructions burned: 3 (million)
% 0.15/0.39 % (15174)Success in time 0.012 s
%------------------------------------------------------------------------------