TSTP Solution File: NUM299+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM299+1 : TPTP v8.1.2. Released v3.1.0.
% 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 14:14:11 EDT 2024
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 79 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 92 ( 45 ~; 33 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1479,plain,
$false,
inference(resolution,[],[f1478,f502]) ).
fof(f502,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
fof(f1478,plain,
~ rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(resolution,[],[f1477,f501]) ).
fof(f501,plain,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn4) ).
fof(f1477,plain,
( ~ rdn_translate(nn4,rdn_neg(rdnn(n4)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2))) ),
inference(resolution,[],[f1441,f491]) ).
fof(f491,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f1441,plain,
! [X0] :
( ~ rdn_positive_less(rdnn(X0),rdnn(n3))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(nn4,rdn_neg(rdnn(n4))) ),
inference(resolution,[],[f1274,f487]) ).
fof(f487,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f1274,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X1)))
| ~ rdn_translate(nn4,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f1238,f860]) ).
fof(f860,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f438]) ).
fof(f438,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f275]) ).
fof(f275,axiom,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f1238,plain,
! [X0,X1] :
( ~ rdn_positive_less(X0,X1)
| ~ rdn_translate(nn4,rdn_neg(X1))
| ~ rdn_translate(nn2,rdn_neg(X0)) ),
inference(resolution,[],[f1169,f475]) ).
fof(f475,plain,
less(nn2,nn4),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
less(nn2,nn4),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ less(nn2,nn4),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ less(nn2,nn4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nn2_not_less_nn4) ).
fof(f1169,plain,
! [X2,X3,X0,X1] :
( ~ less(X2,X3)
| ~ rdn_translate(X2,rdn_neg(X0))
| ~ rdn_translate(X3,rdn_neg(X1))
| ~ rdn_positive_less(X0,X1) ),
inference(resolution,[],[f866,f853]) ).
fof(f853,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f473]) ).
fof(f473,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f472]) ).
fof(f472,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f866,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f446]) ).
fof(f446,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(flattening,[],[f445]) ).
fof(f445,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X3,X2)
& rdn_translate(X1,rdn_neg(X3))
& rdn_translate(X0,rdn_neg(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X0,X1,X9,X10] :
( ( rdn_positive_less(X10,X9)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM299+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:18:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.35 % (24925)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (24938)WARNING: value z3 for option sas not known
% 0.21/0.38 % (24936)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (24937)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (24939)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (24938)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 % (24940)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 % (24941)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)
% 0.21/0.39 % (24942)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)
% 0.21/0.42 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.45 % (24941)First to succeed.
% 0.21/0.46 % (24941)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46 % (24941)------------------------------
% 0.21/0.46 % (24941)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.46 % (24941)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (24941)Memory used [KB]: 2201
% 0.21/0.46 % (24941)Time elapsed: 0.071 s
% 0.21/0.46 % (24941)Instructions burned: 136 (million)
% 0.21/0.46 % (24941)------------------------------
% 0.21/0.46 % (24941)------------------------------
% 0.21/0.46 % (24925)Success in time 0.103 s
%------------------------------------------------------------------------------