TSTP Solution File: ARI122_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI122_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 10:34:40 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 13 unt; 4 typ; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 37 ( 8 ~; 0 |; 26 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 111 ( 0 atm; 34 fun; 57 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 4 usr; 9 con; 0-2 aty)
% Number of variables : 20 ( 8 !; 12 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(func_def_9,type,
sK1: $int ).
tff(func_def_10,type,
sK2: $int ).
tff(func_def_11,type,
sK3: $int ).
tff(f38,plain,
$false,
inference(subsumption_resolution,[],[f37,f34]) ).
tff(f34,plain,
sK1 = 36,
inference(evaluation,[],[f33]) ).
tff(f33,plain,
sK1 = $product(6,6),
inference(superposition,[],[f26,f31]) ).
tff(f31,plain,
6 = sK0,
inference(evaluation,[],[f25]) ).
tff(f25,plain,
$product(2,3) = sK0,
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ( sK1 != sK3 )
& ( sK3 = $product(2,sK2) )
& ( $product(3,6) = sK2 )
& ( sK1 = $product(sK0,6) )
& ( $product(2,3) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f22,f23]) ).
tff(f23,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $product(2,X2) = X3 )
& ( $product(3,6) = X2 )
& ( $product(X0,6) = X1 )
& ( $product(2,3) = X0 ) )
=> ( ( sK1 != sK3 )
& ( sK3 = $product(2,sK2) )
& ( $product(3,6) = sK2 )
& ( sK1 = $product(sK0,6) )
& ( $product(2,3) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $product(2,X2) = X3 )
& ( $product(3,6) = X2 )
& ( $product(X0,6) = X1 )
& ( $product(2,3) = X0 ) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $product(2,X2) = X3 )
& ( $product(3,6) = X2 )
& ( $product(X0,6) = X1 )
& ( $product(2,3) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( ( $product(2,X2) = X3 )
& ( $product(3,6) = X2 )
& ( $product(X0,6) = X1 )
& ( $product(2,3) = X0 ) )
=> ( X1 = X3 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( ( $product(2,X2) = X3 )
& ( $product(3,6) = X2 )
& ( $product(X0,6) = X1 )
& ( $product(2,3) = X0 ) )
=> ( X1 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_product) ).
tff(f26,plain,
sK1 = $product(sK0,6),
inference(cnf_transformation,[],[f24]) ).
tff(f37,plain,
sK1 != 36,
inference(superposition,[],[f29,f36]) ).
tff(f36,plain,
sK3 = 36,
inference(evaluation,[],[f35]) ).
tff(f35,plain,
sK3 = $product(2,18),
inference(superposition,[],[f28,f32]) ).
tff(f32,plain,
sK2 = 18,
inference(evaluation,[],[f27]) ).
tff(f27,plain,
$product(3,6) = sK2,
inference(cnf_transformation,[],[f24]) ).
tff(f28,plain,
sK3 = $product(2,sK2),
inference(cnf_transformation,[],[f24]) ).
tff(f29,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI122_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n024.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 : Tue Apr 30 05:34:51 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (20350)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (20353)WARNING: value z3 for option sas not known
% 0.12/0.36 % (20353)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)
% 0.12/0.36 % (20357)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)
% 0.12/0.36 % (20356)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)
% 0.12/0.36 % (20354)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (20355)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)
% 0.12/0.36 % (20354)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (20354)Terminated due to inappropriate strategy.
% 0.12/0.36 % (20354)------------------------------
% 0.12/0.36 % (20354)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (20354)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (20354)Memory used [KB]: 725
% 0.12/0.36 % (20354)Time elapsed: 0.002 s
% 0.12/0.36 % (20354)Instructions burned: 2 (million)
% 0.12/0.36 % (20354)------------------------------
% 0.12/0.36 % (20354)------------------------------
% 0.12/0.36 % (20351)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (20357)First to succeed.
% 0.12/0.36 % (20351)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (20351)Terminated due to inappropriate strategy.
% 0.12/0.36 % (20351)------------------------------
% 0.12/0.36 % (20351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (20351)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (20351)Memory used [KB]: 725
% 0.12/0.36 % (20351)Time elapsed: 0.002 s
% 0.12/0.36 % (20351)Instructions burned: 2 (million)
% 0.12/0.36 % (20351)------------------------------
% 0.12/0.36 % (20351)------------------------------
% 0.12/0.36 % (20356)Also succeeded, but the first one will report.
% 0.12/0.36 % (20357)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (20357)------------------------------
% 0.12/0.36 % (20357)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (20357)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (20357)Memory used [KB]: 757
% 0.12/0.36 % (20357)Time elapsed: 0.004 s
% 0.12/0.36 % (20357)Instructions burned: 4 (million)
% 0.12/0.36 % (20357)------------------------------
% 0.12/0.36 % (20357)------------------------------
% 0.12/0.36 % (20350)Success in time 0.015 s
%------------------------------------------------------------------------------