TSTP Solution File: ARI544_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI544_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 : n028.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 10:35:32 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 17 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 43 ( 8 atm; 7 fun; 24 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f22,plain,
$false,
inference(evaluation,[],[f21]) ).
tff(f21,plain,
~ $less(5,7),
inference(backward_demodulation,[],[f19,f20]) ).
tff(f20,plain,
sK0 = 5,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
$sum(2,3) = sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ $less(sK0,7)
& ( $sum(2,3) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ~ $less(X0,7)
& ( $sum(2,3) = X0 ) )
=> ( ~ $less(sK0,7)
& ( $sum(2,3) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ~ $less(X0,7)
& ( $sum(2,3) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(2,3) = X0 )
=> $less(X0,7) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(2,3) = X0 )
=> $less(X0,7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_8) ).
tff(f19,plain,
~ $less(sK0,7),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI544_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 05:49:14 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (2379)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (2383)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (2385)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)
% 0.14/0.36 % (2384)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)
% 0.14/0.36 % (2383)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (2383)Terminated due to inappropriate strategy.
% 0.14/0.36 % (2383)------------------------------
% 0.14/0.36 % (2383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.36 % (2383)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (2383)Memory used [KB]: 722
% 0.14/0.36 % (2383)Time elapsed: 0.002 s
% 0.14/0.36 % (2383)Instructions burned: 2 (million)
% 0.14/0.36 % (2383)------------------------------
% 0.14/0.36 % (2383)------------------------------
% 0.14/0.36 % (2381)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (2385)First to succeed.
% 0.14/0.36 % (2380)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (2381)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.36 % (2381)Terminated due to inappropriate strategy.
% 0.14/0.36 % (2381)------------------------------
% 0.14/0.36 % (2381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.36 % (2381)Termination reason: Inappropriate
% 0.14/0.36
% 0.14/0.36 % (2381)Memory used [KB]: 722
% 0.14/0.37 % (2384)Also succeeded, but the first one will report.
% 0.14/0.37 % (2381)Time elapsed: 0.002 s
% 0.14/0.37 % (2381)Instructions burned: 2 (million)
% 0.14/0.37 % (2381)------------------------------
% 0.14/0.37 % (2381)------------------------------
% 0.14/0.37 % (2380)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (2380)Terminated due to inappropriate strategy.
% 0.14/0.37 % (2380)------------------------------
% 0.14/0.37 % (2380)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (2380)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (2380)Memory used [KB]: 722
% 0.14/0.37 % (2380)Time elapsed: 0.003 s
% 0.14/0.37 % (2380)Instructions burned: 2 (million)
% 0.14/0.37 % (2380)------------------------------
% 0.14/0.37 % (2380)------------------------------
% 0.14/0.37 % (2385)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (2385)------------------------------
% 0.14/0.37 % (2385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (2385)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (2385)Memory used [KB]: 747
% 0.14/0.37 % (2385)Time elapsed: 0.003 s
% 0.14/0.37 % (2385)Instructions burned: 3 (million)
% 0.14/0.37 % (2385)------------------------------
% 0.14/0.37 % (2385)------------------------------
% 0.14/0.37 % (2379)Success in time 0.016 s
%------------------------------------------------------------------------------