TSTP Solution File: NUM298+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM298+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 : n019.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 14:14:10 EDT 2024
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 58 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 30 ~; 19 |; 7 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1093,plain,
$false,
inference(unit_resulting_resolution,[],[f941,f938,f960,f884]) ).
fof(f884,plain,
! [X0,X1] :
( ~ sP1(X1)
| ~ sP0(X0)
| less(X0,X1) ),
inference(general_splitting,[],[f882,f883_D]) ).
fof(f883,plain,
! [X3,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| sP1(X1) ),
inference(cnf_transformation,[],[f883_D]) ).
fof(f883_D,plain,
! [X1] :
( ! [X3] : ~ rdn_translate(X1,rdn_pos(X3))
<=> ~ sP1(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f882,plain,
! [X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ sP0(X0) ),
inference(general_splitting,[],[f864,f881_D]) ).
fof(f881,plain,
! [X2,X0] :
( ~ rdn_translate(X0,rdn_neg(X2))
| sP0(X0) ),
inference(cnf_transformation,[],[f881_D]) ).
fof(f881_D,plain,
! [X0] :
( ! [X2] : ~ rdn_translate(X0,rdn_neg(X2))
<=> ~ sP0(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f864,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(flattening,[],[f441]) ).
fof(f441,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0,X1,X2,X3] :
( ( rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_neg(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f282]) ).
fof(f282,axiom,
! [X0,X1,X9,X10] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
fof(f960,plain,
sP1(n2),
inference(unit_resulting_resolution,[],[f510,f883]) ).
fof(f510,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f938,plain,
~ less(nn2,n2),
inference(unit_resulting_resolution,[],[f475,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/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f475,plain,
less(n2,nn2),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
less(n2,nn2),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ less(n2,nn2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ less(n2,nn2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_not_less_nn2) ).
fof(f941,plain,
sP0(nn2),
inference(unit_resulting_resolution,[],[f502,f881]) ).
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/sandbox/benchmark/theBenchmark.p',rdnn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM298+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 00:08:14 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (14886)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (14894)WARNING: value z3 for option sas not known
% 0.15/0.40 % (14892)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (14893)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (14895)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (14894)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)
% 0.15/0.40 % (14896)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)
% 0.15/0.40 % (14897)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)
% 0.15/0.40 % (14898)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)
% 0.22/0.41 % (14898)First to succeed.
% 0.22/0.42 % (14898)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (14898)------------------------------
% 0.22/0.42 % (14898)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42 % (14898)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (14898)Memory used [KB]: 1406
% 0.22/0.42 % (14898)Time elapsed: 0.018 s
% 0.22/0.42 % (14898)Instructions burned: 36 (million)
% 0.22/0.42 % (14898)------------------------------
% 0.22/0.42 % (14898)------------------------------
% 0.22/0.42 % (14886)Success in time 0.05 s
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