TSTP Solution File: NUM436+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM436+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 : n021.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 14:22:47 EDT 2024
% Result : Theorem 0.16s 0.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 111 ( 23 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 143 ( 65 ~; 48 |; 29 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f494,plain,
$false,
inference(resolution,[],[f492,f89]) ).
fof(f89,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( sz00 != xq
& aInteger0(xq)
& sz00 != xp
& aInteger0(xp)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__979) ).
fof(f492,plain,
~ aInteger0(xp),
inference(resolution,[],[f490,f91]) ).
fof(f91,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f23]) ).
fof(f490,plain,
( ~ aInteger0(xq)
| ~ aInteger0(xp) ),
inference(resolution,[],[f489,f85]) ).
fof(f85,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),xm)
& aInteger0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1032) ).
fof(f489,plain,
( ~ aInteger0(xm)
| ~ aInteger0(xq)
| ~ aInteger0(xp) ),
inference(duplicate_literal_removal,[],[f487]) ).
fof(f487,plain,
( ~ aInteger0(xm)
| ~ aInteger0(xq)
| ~ aInteger0(xm)
| ~ aInteger0(xp) ),
inference(resolution,[],[f485,f123]) ).
fof(f123,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(f485,plain,
( ~ aInteger0(sdtasdt0(xp,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xq) ),
inference(resolution,[],[f482,f123]) ).
fof(f482,plain,
( ~ aInteger0(sdtasdt0(xq,xm))
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(resolution,[],[f481,f449]) ).
fof(f449,plain,
( sP0
| ~ aInteger0(sdtasdt0(xp,xm)) ),
inference(trivial_inequality_removal,[],[f447]) ).
fof(f447,plain,
( sdtpldt0(xa,smndt0(xb)) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(sdtasdt0(xp,xm))
| sP0 ),
inference(superposition,[],[f82,f99]) ).
fof(f99,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1071) ).
fof(f82,plain,
! [X0] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,X0)
| ~ aInteger0(X0)
| sP0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ! [X0] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,X0)
| ~ aInteger0(X0) ) )
| sP0 ),
inference(definition_folding,[],[f31,f63]) ).
fof(f63,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
& ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
& ! [X1] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X1)
| ~ aInteger0(X1) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f31,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ! [X0] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,X0)
| ~ aInteger0(X0) ) )
| ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
& ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
& ! [X1] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X1)
| ~ aInteger0(X1) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ( ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X0)
& aInteger0(X0) ) )
& ( sdteqdtlpzmzozddtrp0(xa,xb,xp)
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,X1)
& aInteger0(X1) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ( ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X0)
& aInteger0(X0) ) )
& ( sdteqdtlpzmzozddtrp0(xa,xb,xp)
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,X0)
& aInteger0(X0) ) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
( ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X0)
& aInteger0(X0) ) )
& ( sdteqdtlpzmzozddtrp0(xa,xb,xp)
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| ? [X0] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,X0)
& aInteger0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f481,plain,
( ~ sP0
| ~ aInteger0(sdtasdt0(xq,xm)) ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f480,plain,
( sdtpldt0(xa,smndt0(xb)) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(sdtasdt0(xq,xm))
| ~ sP0 ),
inference(superposition,[],[f79,f98]) ).
fof(f98,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(cnf_transformation,[],[f26]) ).
fof(f79,plain,
! [X0] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X0)
| ~ aInteger0(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
& ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
& ! [X0] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X0)
| ~ aInteger0(X0) ) )
| ~ sP0 ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
( ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xp)
& ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
& ! [X1] :
( sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xp,X1)
| ~ aInteger0(X1) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM436+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Apr 29 23:20:40 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (29021)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (29026)WARNING: value z3 for option sas not known
% 0.16/0.39 % (29024)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (29027)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (29030)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)
% 0.16/0.39 % (29029)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)
% 0.16/0.39 % (29028)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)
% 0.16/0.39 % (29025)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (29026)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)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [3]
% 0.16/0.41 % (29029)First to succeed.
% 0.16/0.41 % (29026)Also succeeded, but the first one will report.
% 0.16/0.41 % (29029)Refutation found. Thanks to Tanya!
% 0.16/0.41 % SZS status Theorem for theBenchmark
% 0.16/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.41 % (29029)------------------------------
% 0.16/0.41 % (29029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.41 % (29029)Termination reason: Refutation
% 0.16/0.41
% 0.16/0.41 % (29029)Memory used [KB]: 1105
% 0.16/0.41 % (29029)Time elapsed: 0.019 s
% 0.16/0.41 % (29029)Instructions burned: 29 (million)
% 0.16/0.41 % (29029)------------------------------
% 0.16/0.41 % (29029)------------------------------
% 0.16/0.41 % (29021)Success in time 0.037 s
%------------------------------------------------------------------------------