TSTP Solution File: NUM480+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM480+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 : n009.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 14:25:50 EDT 2024
% Result : Theorem 2.48s 0.71s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 71 ( 33 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 29 ~; 23 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7668,plain,
$false,
inference(trivial_inequality_removal,[],[f7655]) ).
fof(f7655,plain,
sdtasdt0(xm,xn) != sdtasdt0(xm,xn),
inference(superposition,[],[f520,f7438]) ).
fof(f7438,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xm,xn),
inference(forward_demodulation,[],[f7424,f373]) ).
fof(f373,plain,
sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),xn),
inference(resolution,[],[f347,f121]) ).
fof(f121,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
fof(f347,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),X0) ),
inference(resolution,[],[f150,f117]) ).
fof(f117,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
( sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtsldt0(sdtasdt0(xn,xm),xl) = sdtasdt0(xn,sdtsldt0(xm,xl))
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtsldt0(sdtasdt0(xn,xm),xl) = sdtasdt0(xn,sdtsldt0(xm,xl))
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f150,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f7424,plain,
sdtasdt0(xm,xn) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)),
inference(resolution,[],[f7034,f121]) ).
fof(f7034,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),X0)) ),
inference(forward_demodulation,[],[f7009,f118]) ).
fof(f118,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f46]) ).
fof(f7009,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),X0)) ),
inference(resolution,[],[f2578,f122]) ).
fof(f122,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
fof(f2578,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,sdtsldt0(xm,xl)),X0) = sdtasdt0(X1,sdtasdt0(sdtsldt0(xm,xl),X0)) ),
inference(resolution,[],[f176,f117]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f520,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xm,xn),
inference(backward_demodulation,[],[f119,f514]) ).
fof(f514,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f350,f121]) ).
fof(f350,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f150,f123]) ).
fof(f123,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f36]) ).
fof(f119,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM480+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:59:26 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (4600)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (4603)WARNING: value z3 for option sas not known
% 0.12/0.35 % (4603)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)
% 0.12/0.35 % (4607)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)
% 0.12/0.36 % (4602)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (4604)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (4605)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)
% 0.12/0.36 % (4606)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)
% 0.12/0.36 % (4601)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.12/0.38 TRYING [4]
% 0.12/0.38 TRYING [4]
% 0.18/0.43 TRYING [5]
% 0.18/0.44 TRYING [5]
% 1.61/0.60 TRYING [6]
% 1.61/0.64 TRYING [6]
% 2.48/0.70 % (4606)First to succeed.
% 2.48/0.71 % (4606)Refutation found. Thanks to Tanya!
% 2.48/0.71 % SZS status Theorem for theBenchmark
% 2.48/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.71 % (4606)------------------------------
% 2.48/0.71 % (4606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.48/0.71 % (4606)Termination reason: Refutation
% 2.48/0.71
% 2.48/0.71 % (4606)Memory used [KB]: 6472
% 2.48/0.71 % (4606)Time elapsed: 0.348 s
% 2.48/0.71 % (4606)Instructions burned: 643 (million)
% 2.48/0.71 % (4606)------------------------------
% 2.48/0.71 % (4606)------------------------------
% 2.48/0.71 % (4600)Success in time 0.364 s
%------------------------------------------------------------------------------