TSTP Solution File: ARI081_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI081_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 : 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 10:34:34 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 23 ( 8 ~; 0 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 61 ( 0 atm; 16 fun; 35 num; 10 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 : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 4 !; 6 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f22]) ).
tff(f22,plain,
sK0 = 13,
inference(evaluation,[],[f19]) ).
tff(f19,plain,
$sum(6,7) = sK0,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK0 != sK1 )
& ( $sum(7,6) = sK1 )
& ( $sum(6,7) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( ( sK0 != sK1 )
& ( $sum(7,6) = sK1 )
& ( $sum(6,7) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communative_sum_6_7) ).
tff(f24,plain,
sK0 != 13,
inference(superposition,[],[f21,f23]) ).
tff(f23,plain,
sK1 = 13,
inference(evaluation,[],[f20]) ).
tff(f20,plain,
$sum(7,6) = sK1,
inference(cnf_transformation,[],[f18]) ).
tff(f21,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI081_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.14 % 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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 05:38:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28218)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (28221)WARNING: value z3 for option sas not known
% 0.15/0.38 % (28222)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (28220)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 % (28219)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (28221)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 % (28224)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 % (28223)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 % (28225)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)
% 0.15/0.38 % (28219)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (28222)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (28220)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (28222)Terminated due to inappropriate strategy.
% 0.15/0.38 % (28222)------------------------------
% 0.15/0.38 % (28222)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (28220)Terminated due to inappropriate strategy.
% 0.15/0.38 % (28220)------------------------------
% 0.15/0.38 % (28220)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (28222)Termination reason: Inappropriate
% 0.15/0.38 % (28220)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (28222)Memory used [KB]: 722
% 0.15/0.38 % (28220)Memory used [KB]: 722
% 0.15/0.38 % (28222)Time elapsed: 0.002 s
% 0.15/0.38 % (28220)Time elapsed: 0.002 s
% 0.15/0.38 % (28220)Instructions burned: 2 (million)
% 0.15/0.38 % (28222)Instructions burned: 2 (million)
% 0.15/0.38 % (28220)------------------------------
% 0.15/0.38 % (28220)------------------------------
% 0.15/0.38 % (28222)------------------------------
% 0.15/0.38 % (28222)------------------------------
% 0.15/0.38 % (28219)Terminated due to inappropriate strategy.
% 0.15/0.38 % (28219)------------------------------
% 0.15/0.38 % (28219)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (28219)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (28219)Memory used [KB]: 722
% 0.15/0.38 % (28219)Time elapsed: 0.003 s
% 0.15/0.38 % (28219)Instructions burned: 2 (million)
% 0.15/0.38 % (28219)------------------------------
% 0.15/0.38 % (28219)------------------------------
% 0.15/0.38 % (28225)First to succeed.
% 0.15/0.38 % (28224)Also succeeded, but the first one will report.
% 0.15/0.38 % (28225)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (28225)------------------------------
% 0.15/0.38 % (28225)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (28225)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (28225)Memory used [KB]: 753
% 0.15/0.38 % (28225)Time elapsed: 0.003 s
% 0.15/0.38 % (28225)Instructions burned: 3 (million)
% 0.15/0.38 % (28225)------------------------------
% 0.15/0.38 % (28225)------------------------------
% 0.15/0.38 % (28218)Success in time 0.008 s
%------------------------------------------------------------------------------