TSTP Solution File: NUM423+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM423+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 : n020.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 14:22:23 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 45 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 12 |; 10 &)
% ( 0 <=>; 2 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(resolution,[],[f146,f67]) ).
fof(f67,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f146,plain,
~ aInteger0(sz00),
inference(trivial_inequality_removal,[],[f144]) ).
fof(f144,plain,
( sz00 != sz00
| ~ aInteger0(sz00) ),
inference(superposition,[],[f142,f104]) ).
fof(f104,plain,
sz00 = sdtasdt0(xq,sz00),
inference(resolution,[],[f69,f64]) ).
fof(f64,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( sz00 != xq
& aInteger0(xq)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__671) ).
fof(f69,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f142,plain,
! [X0] :
( sz00 != sdtasdt0(xq,X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[],[f60,f139]) ).
fof(f139,plain,
sz00 = sdtpldt0(xa,smndt0(xa)),
inference(resolution,[],[f75,f63]) ).
fof(f63,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f60,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ~ sdteqdtlpzmzozddtrp0(xa,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
& ! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
| ~ aInteger0(X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xa,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa))
& aInteger0(X0) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
( sdteqdtlpzmzozddtrp0(xa,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa))
& aInteger0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.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 : Mon Apr 29 23:21:02 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.36 % (19655)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (19656)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (19658)WARNING: value z3 for option sas not known
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 % (19657)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (19659)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (19660)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)
% 0.21/0.38 % (19661)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)
% 0.21/0.38 % (19658)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)
% 0.21/0.38 % (19662)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)
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (19661)First to succeed.
% 0.21/0.38 % (19658)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 % (19661)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (19661)------------------------------
% 0.21/0.38 % (19661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (19661)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (19661)Memory used [KB]: 847
% 0.21/0.38 % (19661)Time elapsed: 0.006 s
% 0.21/0.38 % (19661)Instructions burned: 8 (million)
% 0.21/0.38 % (19661)------------------------------
% 0.21/0.38 % (19661)------------------------------
% 0.21/0.38 % (19655)Success in time 0.012 s
%------------------------------------------------------------------------------