TSTP Solution File: GEO526+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO526+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 : Wed May 31 12:09:05 EDT 2023
% Result : Theorem 2.59s 0.79s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 17 unt; 0 def)
% Number of atoms : 112 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 120 ( 53 ~; 45 |; 20 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 81 (; 71 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( ~ s_e(Xa,Xb,Xc,Xd)
| ~ s_e(Xc,Xd,Xe,Xf)
| s_e(Xa,Xb,Xe,Xf) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [Xp,Xa,Xq] :
( ~ s_m(Xp,Xa,Xq)
| Xq = s(Xa,Xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [Xa,Xb,Xc] :
( ~ s_r(Xa,Xb,Xc)
| s_r(Xa,Xb,s(Xb,Xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f146,axiom,
! [Xa,Xb] : s_m(Xa,midpoint(Xa,Xb),Xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,axiom,
! [Xa,Xb,Xc,Xa1] :
( ~ s_r(Xa,Xb,Xc)
| ~ s_r(Xa1,Xb,Xc)
| ~ s_e(Xa,Xb,Xa1,Xb)
| s_e(Xa,Xc,Xa1,Xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,conjecture,
! [Xa,Xb,Xc,Xa1,Xc1] :
( ~ s_r(Xa,Xb,Xc)
| ~ s_r(Xa1,Xb,Xc1)
| ~ s_e(Xa,Xb,Xa1,Xb)
| ~ s_e(Xb,Xc,Xb,Xc1)
| s_e(Xa,Xc,Xa1,Xc1)
| Xb != midpoint(Xc,Xc1)
| Xc = Xc1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
~ ! [Xa,Xb,Xc,Xa1,Xc1] :
( ~ s_r(Xa,Xb,Xc)
| ~ s_r(Xa1,Xb,Xc1)
| ~ s_e(Xa,Xb,Xa1,Xb)
| ~ s_e(Xb,Xc,Xb,Xc1)
| s_e(Xa,Xc,Xa1,Xc1)
| Xb != midpoint(Xc,Xc1)
| Xc = Xc1 ),
inference(negated_conjecture,[status(cth)],[f195]) ).
fof(f207,axiom,
! [Xa,Xb,Xc] :
( ( ~ s_r(Xa,Xb,Xc)
| s_e(Xa,Xc,Xa,s(Xb,Xc)) )
& ( s_r(Xa,Xb,Xc)
| ~ s_e(Xa,Xc,Xa,s(Xb,Xc)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f231,plain,
! [Xa,Xb,Xe,Xf] :
( ! [Xc,Xd] :
( ~ s_e(Xa,Xb,Xc,Xd)
| ~ s_e(Xc,Xd,Xe,Xf) )
| s_e(Xa,Xb,Xe,Xf) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X2,X3,X4,X5)
| s_e(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f375,plain,
! [X0,X1,X2] :
( ~ s_m(X0,X1,X2)
| X2 = s(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f411,plain,
! [X0,X1,X2] :
( ~ s_r(X0,X1,X2)
| s_r(X0,X1,s(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f467,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f553,plain,
! [Xa,Xc,Xa1] :
( ! [Xb] :
( ~ s_r(Xa,Xb,Xc)
| ~ s_r(Xa1,Xb,Xc)
| ~ s_e(Xa,Xb,Xa1,Xb) )
| s_e(Xa,Xc,Xa1,Xc) ),
inference(miniscoping,[status(esa)],[f194]) ).
fof(f554,plain,
! [X0,X1,X2,X3] :
( ~ s_r(X0,X1,X2)
| ~ s_r(X3,X1,X2)
| ~ s_e(X0,X1,X3,X1)
| s_e(X0,X2,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f553]) ).
fof(f555,plain,
? [Xa,Xb,Xc,Xa1,Xc1] :
( s_r(Xa,Xb,Xc)
& s_r(Xa1,Xb,Xc1)
& s_e(Xa,Xb,Xa1,Xb)
& s_e(Xb,Xc,Xb,Xc1)
& ~ s_e(Xa,Xc,Xa1,Xc1)
& Xb = midpoint(Xc,Xc1)
& Xc != Xc1 ),
inference(pre_NNF_transformation,[status(esa)],[f196]) ).
fof(f556,plain,
? [Xc,Xc1] :
( ? [Xb] :
( ? [Xa,Xa1] :
( s_r(Xa,Xb,Xc)
& s_r(Xa1,Xb,Xc1)
& s_e(Xa,Xb,Xa1,Xb)
& s_e(Xb,Xc,Xb,Xc1)
& ~ s_e(Xa,Xc,Xa1,Xc1) )
& Xb = midpoint(Xc,Xc1) )
& Xc != Xc1 ),
inference(miniscoping,[status(esa)],[f555]) ).
fof(f557,plain,
( s_r(sk0_3,sk0_2,sk0_0)
& s_r(sk0_4,sk0_2,sk0_1)
& s_e(sk0_3,sk0_2,sk0_4,sk0_2)
& s_e(sk0_2,sk0_0,sk0_2,sk0_1)
& ~ s_e(sk0_3,sk0_0,sk0_4,sk0_1)
& sk0_2 = midpoint(sk0_0,sk0_1)
& sk0_0 != sk0_1 ),
inference(skolemization,[status(esa)],[f556]) ).
fof(f558,plain,
s_r(sk0_3,sk0_2,sk0_0),
inference(cnf_transformation,[status(esa)],[f557]) ).
fof(f559,plain,
s_r(sk0_4,sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f557]) ).
fof(f560,plain,
s_e(sk0_3,sk0_2,sk0_4,sk0_2),
inference(cnf_transformation,[status(esa)],[f557]) ).
fof(f562,plain,
~ s_e(sk0_3,sk0_0,sk0_4,sk0_1),
inference(cnf_transformation,[status(esa)],[f557]) ).
fof(f563,plain,
sk0_2 = midpoint(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f557]) ).
fof(f620,plain,
( ! [Xa,Xb,Xc] :
( ~ s_r(Xa,Xb,Xc)
| s_e(Xa,Xc,Xa,s(Xb,Xc)) )
& ! [Xa,Xb,Xc] :
( s_r(Xa,Xb,Xc)
| ~ s_e(Xa,Xc,Xa,s(Xb,Xc)) ) ),
inference(miniscoping,[status(esa)],[f207]) ).
fof(f621,plain,
! [X0,X1,X2] :
( ~ s_r(X0,X1,X2)
| s_e(X0,X2,X0,s(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f620]) ).
fof(f1624,plain,
! [X0,X1] :
( ~ s_e(sk0_3,sk0_0,X0,X1)
| ~ s_e(X0,X1,sk0_4,sk0_1) ),
inference(resolution,[status(thm)],[f562,f232]) ).
fof(f2163,plain,
s_r(sk0_3,sk0_2,s(sk0_2,sk0_0)),
inference(resolution,[status(thm)],[f411,f558]) ).
fof(f3130,plain,
s_m(sk0_0,sk0_2,sk0_1),
inference(paramodulation,[status(thm)],[f563,f467]) ).
fof(f3810,plain,
sk0_1 = s(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f3130,f375]) ).
fof(f4394,plain,
! [X0] :
( ~ s_r(X0,sk0_2,sk0_1)
| ~ s_e(X0,sk0_2,sk0_4,sk0_2)
| s_e(X0,sk0_1,sk0_4,sk0_1) ),
inference(resolution,[status(thm)],[f554,f559]) ).
fof(f4405,plain,
s_e(sk0_3,sk0_0,sk0_3,s(sk0_2,sk0_0)),
inference(resolution,[status(thm)],[f621,f558]) ).
fof(f4406,plain,
s_e(sk0_3,sk0_0,sk0_3,sk0_1),
inference(forward_demodulation,[status(thm)],[f3810,f4405]) ).
fof(f4426,plain,
~ s_e(sk0_3,sk0_1,sk0_4,sk0_1),
inference(resolution,[status(thm)],[f4406,f1624]) ).
fof(f4579,plain,
s_r(sk0_3,sk0_2,sk0_1),
inference(forward_demodulation,[status(thm)],[f3810,f2163]) ).
fof(f5129,plain,
( spl0_239
<=> s_e(sk0_3,sk0_2,sk0_4,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f5131,plain,
( ~ s_e(sk0_3,sk0_2,sk0_4,sk0_2)
| spl0_239 ),
inference(component_clause,[status(thm)],[f5129]) ).
fof(f5132,plain,
( spl0_240
<=> s_e(sk0_3,sk0_1,sk0_4,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f5133,plain,
( s_e(sk0_3,sk0_1,sk0_4,sk0_1)
| ~ spl0_240 ),
inference(component_clause,[status(thm)],[f5132]) ).
fof(f5135,plain,
( ~ s_e(sk0_3,sk0_2,sk0_4,sk0_2)
| s_e(sk0_3,sk0_1,sk0_4,sk0_1) ),
inference(resolution,[status(thm)],[f4394,f4579]) ).
fof(f5136,plain,
( ~ spl0_239
| spl0_240 ),
inference(split_clause,[status(thm)],[f5135,f5129,f5132]) ).
fof(f5138,plain,
( $false
| spl0_239 ),
inference(forward_subsumption_resolution,[status(thm)],[f5131,f560]) ).
fof(f5139,plain,
spl0_239,
inference(contradiction_clause,[status(thm)],[f5138]) ).
fof(f5142,plain,
( $false
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[status(thm)],[f5133,f4426]) ).
fof(f5143,plain,
~ spl0_240,
inference(contradiction_clause,[status(thm)],[f5142]) ).
fof(f5144,plain,
$false,
inference(sat_refutation,[status(thm)],[f5136,f5139,f5143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO526+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:01:13 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.33 % Drodi V3.5.1
% 2.59/0.79 % Refutation found
% 2.59/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.59/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.59/0.81 % Elapsed time: 0.498503 seconds
% 2.59/0.81 % CPU time: 3.145939 seconds
% 2.59/0.81 % Memory used: 82.849 MB
%------------------------------------------------------------------------------