TSTP Solution File: NUM468+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM468+2 : 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 : n022.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 : Sun May 5 08:29:05 EDT 2024
% Result : Theorem 10.69s 1.87s
% Output : Refutation 10.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 85 ( 42 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 30 ~; 21 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28513,plain,
$false,
inference(trivial_inequality_removal,[],[f28498]) ).
fof(f28498,plain,
sdtpldt0(xm,xn) != sdtpldt0(xm,xn),
inference(superposition,[],[f113,f27616]) ).
fof(f27616,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(forward_demodulation,[],[f27615,f502]) ).
fof(f502,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(resolution,[],[f316,f116]) ).
fof(f116,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
fof(f316,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) ),
inference(resolution,[],[f139,f115]) ).
fof(f115,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f27615,plain,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(xn,xm),
inference(forward_demodulation,[],[f27614,f337]) ).
fof(f337,plain,
sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(resolution,[],[f313,f111]) ).
fof(f111,plain,
aNaturalNumber0(sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& sz00 != xl ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& sz00 != xl ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ( sz00 != xl
=> ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( ( xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
( sz00 != xl
=> ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( ( xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f313,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),X0) ),
inference(resolution,[],[f139,f109]) ).
fof(f109,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f42]) ).
fof(f27614,plain,
sdtpldt0(xn,xm) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(forward_demodulation,[],[f27590,f112]) ).
fof(f112,plain,
xn = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f42]) ).
fof(f27590,plain,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xm),
inference(resolution,[],[f9460,f111]) ).
fof(f9460,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,sdtpldt0(X0,sdtsldt0(xm,xl))) = sdtpldt0(sdtasdt0(xl,X0),xm) ),
inference(forward_demodulation,[],[f9416,f110]) ).
fof(f110,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f42]) ).
fof(f9416,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,sdtpldt0(X0,sdtsldt0(xm,xl))) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,sdtsldt0(xm,xl))) ),
inference(resolution,[],[f3025,f114]) ).
fof(f114,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f3025,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X1,sdtpldt0(X0,sdtsldt0(xm,xl))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtsldt0(xm,xl))) ),
inference(resolution,[],[f166,f109]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f113,plain,
sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM468+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:37:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (29237)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (29240)WARNING: value z3 for option sas not known
% 0.14/0.37 % (29242)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)
% 0.14/0.37 % (29239)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (29238)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (29240)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)
% 0.14/0.37 % (29241)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (29243)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)
% 0.14/0.37 % (29244)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.45 TRYING [5]
% 0.20/0.46 TRYING [5]
% 1.37/0.57 TRYING [6]
% 1.37/0.58 TRYING [6]
% 3.48/0.85 TRYING [7]
% 3.48/0.87 TRYING [7]
% 7.74/1.45 TRYING [8]
% 7.74/1.47 TRYING [1]
% 7.74/1.47 TRYING [2]
% 7.74/1.47 TRYING [3]
% 7.74/1.48 TRYING [4]
% 7.74/1.51 TRYING [5]
% 7.74/1.52 TRYING [8]
% 8.67/1.64 TRYING [6]
% 10.69/1.87 % (29243)First to succeed.
% 10.69/1.87 % (29243)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29237"
% 10.69/1.87 % (29243)Refutation found. Thanks to Tanya!
% 10.69/1.87 % SZS status Theorem for theBenchmark
% 10.69/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 10.69/1.87 % (29243)------------------------------
% 10.69/1.87 % (29243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.69/1.87 % (29243)Termination reason: Refutation
% 10.69/1.87
% 10.69/1.87 % (29243)Memory used [KB]: 24883
% 10.69/1.87 % (29243)Time elapsed: 1.500 s
% 10.69/1.87 % (29243)Instructions burned: 4334 (million)
% 10.69/1.87 % (29237)Success in time 1.502 s
%------------------------------------------------------------------------------