TSTP Solution File: NUM435+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM435+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 May 21 01:58:07 EDT 2024
% Result : Theorem 78.61s 11.56s
% Output : Refutation 78.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 56 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 24 ~; 19 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75331,plain,
$false,
inference(subsumption_resolution,[],[f75330,f71]) ).
fof(f71,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(flattening,[],[f27]) ).
fof(f27,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f75330,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(forward_demodulation,[],[f75329,f74]) ).
fof(f74,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1032) ).
fof(f75329,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(forward_demodulation,[],[f75302,f1627]) ).
fof(f1627,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(resolution,[],[f502,f79]) ).
fof(f79,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( sz00 != xq
& aInteger0(xq)
& sz00 != xp
& aInteger0(xp)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__979) ).
fof(f502,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(resolution,[],[f106,f77]) ).
fof(f77,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f23]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f75302,plain,
sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(xq,xp),xm),
inference(resolution,[],[f6762,f79]) ).
fof(f6762,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(X0,xp),xm) ),
inference(resolution,[],[f1017,f77]) ).
fof(f1017,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,xm)) = sdtasdt0(sdtasdt0(X0,X1),xm)
| ~ aInteger0(X0) ),
inference(resolution,[],[f112,f73]) ).
fof(f73,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM435+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n004.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 : Mon May 20 06:12:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (5111)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (5113)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 % (5114)WARNING: value z3 for option sas not known
% 0.14/0.36 % (5115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (5112)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (5114)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)
% 0.14/0.36 % (5116)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 % (5117)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 % (5118)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)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 TRYING [5]
% 0.21/0.56 TRYING [6]
% 0.21/0.57 TRYING [6]
% 1.83/0.59 TRYING [1]
% 1.83/0.59 TRYING [2]
% 1.83/0.60 TRYING [3]
% 1.83/0.61 TRYING [4]
% 2.10/0.65 TRYING [5]
% 3.16/0.79 TRYING [6]
% 3.16/0.85 TRYING [7]
% 4.19/1.00 TRYING [7]
% 6.31/1.28 TRYING [7]
% 9.47/1.72 TRYING [8]
% 14.59/2.47 TRYING [8]
% 14.59/2.50 TRYING [8]
% 20.08/3.26 TRYING [9]
% 29.30/4.52 TRYING [9]
% 34.77/5.34 TRYING [9]
% 39.73/6.00 TRYING [10]
% 62.14/9.22 TRYING [10]
% 72.76/10.79 TRYING [11]
% 78.61/11.55 TRYING [10]
% 78.61/11.55 % (5114)First to succeed.
% 78.61/11.55 % (5114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5111"
% 78.61/11.56 % (5114)Refutation found. Thanks to Tanya!
% 78.61/11.56 % SZS status Theorem for theBenchmark
% 78.61/11.56 % SZS output start Proof for theBenchmark
% See solution above
% 78.61/11.56 % (5114)------------------------------
% 78.61/11.56 % (5114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 78.61/11.56 % (5114)Termination reason: Refutation
% 78.61/11.56
% 78.61/11.56 % (5114)Memory used [KB]: 37365
% 78.61/11.56 % (5114)Time elapsed: 11.192 s
% 78.61/11.56 % (5114)Instructions burned: 56813 (million)
% 78.61/11.56 % (5111)Success in time 11.136 s
%------------------------------------------------------------------------------