TSTP Solution File: NUM427+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 14:22:24 EDT 2024
% Result : Theorem 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 30 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 9 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f123,plain,
$false,
inference(resolution,[],[f122,f72]) ).
fof(f72,plain,
aInteger0(xn),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn)
& aInteger0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__747) ).
fof(f122,plain,
~ aInteger0(xn),
inference(resolution,[],[f121,f84]) ).
fof(f84,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f121,plain,
~ aInteger0(smndt0(xn)),
inference(equality_resolution,[],[f117]) ).
fof(f117,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtasdt0(xq,smndt0(xn))
| ~ aInteger0(X0) ),
inference(backward_demodulation,[],[f68,f71]) ).
fof(f71,plain,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__767) ).
fof(f68,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X0) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:49:19 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (6348)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.34 % (6355)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)
% 0.18/0.34 % (6353)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)
% 0.18/0.35 % (6352)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.35 % (6354)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)
% 0.18/0.35 % (6354)First to succeed.
% 0.18/0.35 TRYING [1]
% 0.18/0.35 TRYING [2]
% 0.18/0.35 % (6354)Refutation found. Thanks to Tanya!
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.35 % (6354)------------------------------
% 0.18/0.35 % (6354)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.35 % (6354)Termination reason: Refutation
% 0.18/0.35
% 0.18/0.35 % (6354)Memory used [KB]: 843
% 0.18/0.35 % (6354)Time elapsed: 0.004 s
% 0.18/0.35 % (6354)Instructions burned: 5 (million)
% 0.18/0.35 % (6354)------------------------------
% 0.18/0.35 % (6354)------------------------------
% 0.18/0.35 % (6348)Success in time 0.019 s
%------------------------------------------------------------------------------