TSTP Solution File: GEO093+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:07:45 EDT 2023
% Result : Theorem 0.10s 0.29s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 58 ( 11 unt; 0 def)
% Number of atoms : 190 ( 26 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 198 ( 66 ~; 84 |; 40 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 140 (; 128 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,C1,C2] :
( C = sum(C1,C2)
<=> ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [C,C1] :
( ( part_of(C1,C)
& C1 != C )
=> open(C1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [C,C1,C2,P] :
( ( open(C)
& part_of(C1,C)
& part_of(C2,C)
& meet(P,C1,C2) )
=> open(sum(C1,C2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C,C1,C2,P] :
( ( open(C)
& part_of(C1,C)
& part_of(C2,C)
& meet(P,C1,C2) )
=> open(sum(C1,C2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [C,C1] :
( ( ~ part_of(C1,C)
| ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) )
& ( part_of(C1,C)
| ? [P] :
( incident_c(P,C1)
& ~ incident_c(P,C) ) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
( ! [C,C1] :
( ~ part_of(C1,C)
| ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) )
& ! [C,C1] :
( part_of(C1,C)
| ? [P] :
( incident_c(P,C1)
& ~ incident_c(P,C) ) ) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f22,plain,
( ! [C,C1] :
( ~ part_of(C1,C)
| ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) )
& ! [C,C1] :
( part_of(C1,C)
| ( incident_c(sk0_0(C1,C),C1)
& ~ incident_c(sk0_0(C1,C),C) ) ) ),
inference(skolemization,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(sk0_0(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(sk0_0(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f26,plain,
! [C,C1,C2] :
( ( C != sum(C1,C2)
| ! [Q] :
( ( ~ incident_c(Q,C)
| incident_c(Q,C1)
| incident_c(Q,C2) )
& ( incident_c(Q,C)
| ( ~ incident_c(Q,C1)
& ~ incident_c(Q,C2) ) ) ) )
& ( C = sum(C1,C2)
| ? [Q] :
( ( ~ incident_c(Q,C)
| ( ~ incident_c(Q,C1)
& ~ incident_c(Q,C2) ) )
& ( incident_c(Q,C)
| incident_c(Q,C1)
| incident_c(Q,C2) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f27,plain,
( ! [C,C1,C2] :
( C != sum(C1,C2)
| ( ! [Q] :
( ~ incident_c(Q,C)
| incident_c(Q,C1)
| incident_c(Q,C2) )
& ! [Q] :
( incident_c(Q,C)
| ( ~ incident_c(Q,C1)
& ~ incident_c(Q,C2) ) ) ) )
& ! [C,C1,C2] :
( C = sum(C1,C2)
| ? [Q] :
( ( ~ incident_c(Q,C)
| ( ~ incident_c(Q,C1)
& ~ incident_c(Q,C2) ) )
& ( incident_c(Q,C)
| incident_c(Q,C1)
| incident_c(Q,C2) ) ) ) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f28,plain,
( ! [C,C1,C2] :
( C != sum(C1,C2)
| ( ! [Q] :
( ~ incident_c(Q,C)
| incident_c(Q,C1)
| incident_c(Q,C2) )
& ! [Q] :
( incident_c(Q,C)
| ( ~ incident_c(Q,C1)
& ~ incident_c(Q,C2) ) ) ) )
& ! [C,C1,C2] :
( C = sum(C1,C2)
| ( ( ~ incident_c(sk0_1(C2,C1,C),C)
| ( ~ incident_c(sk0_1(C2,C1,C),C1)
& ~ incident_c(sk0_1(C2,C1,C),C2) ) )
& ( incident_c(sk0_1(C2,C1,C),C)
| incident_c(sk0_1(C2,C1,C),C1)
| incident_c(sk0_1(C2,C1,C),C2) ) ) ) ),
inference(skolemization,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( X0 != sum(X1,X2)
| incident_c(X3,X0)
| ~ incident_c(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( X0 != sum(X1,X2)
| incident_c(X3,X0)
| ~ incident_c(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f33,plain,
! [X0,X1,X2] :
( X0 = sum(X1,X2)
| ~ incident_c(sk0_1(X2,X1,X0),X0)
| ~ incident_c(sk0_1(X2,X1,X0),X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f34,plain,
! [X0,X1,X2] :
( X0 = sum(X1,X2)
| incident_c(sk0_1(X2,X1,X0),X0)
| incident_c(sk0_1(X2,X1,X0),X1)
| incident_c(sk0_1(X2,X1,X0),X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f74,plain,
! [C,C1] :
( ~ part_of(C1,C)
| C1 = C
| open(C1) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f75,plain,
! [C1] :
( ! [C] :
( ~ part_of(C1,C)
| C1 = C )
| open(C1) ),
inference(miniscoping,[status(esa)],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ~ part_of(X0,X1)
| X0 = X1
| open(X0) ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f104,plain,
? [C,C1,C2,P] :
( open(C)
& part_of(C1,C)
& part_of(C2,C)
& meet(P,C1,C2)
& ~ open(sum(C1,C2)) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f105,plain,
? [C1,C2] :
( ? [C] :
( open(C)
& part_of(C1,C)
& part_of(C2,C) )
& ? [P] : meet(P,C1,C2)
& ~ open(sum(C1,C2)) ),
inference(miniscoping,[status(esa)],[f104]) ).
fof(f106,plain,
( open(sk0_15)
& part_of(sk0_13,sk0_15)
& part_of(sk0_14,sk0_15)
& meet(sk0_16,sk0_13,sk0_14)
& ~ open(sum(sk0_13,sk0_14)) ),
inference(skolemization,[status(esa)],[f105]) ).
fof(f107,plain,
open(sk0_15),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f108,plain,
part_of(sk0_13,sk0_15),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f109,plain,
part_of(sk0_14,sk0_15),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f111,plain,
~ open(sum(sk0_13,sk0_14)),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ incident_c(X0,sum(X1,X2))
| incident_c(X0,X1)
| incident_c(X0,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f29]) ).
fof(f113,plain,
! [X0,X1,X2] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f30]) ).
fof(f114,plain,
! [X0,X1,X2] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f31]) ).
fof(f158,plain,
! [X0,X1,X2] :
( part_of(sum(X0,X1),X2)
| incident_c(sk0_0(sum(X0,X1),X2),X0)
| incident_c(sk0_0(sum(X0,X1),X2),X1) ),
inference(resolution,[status(thm)],[f24,f112]) ).
fof(f161,plain,
! [X0,X1,X2] :
( part_of(X0,sum(X1,X2))
| ~ incident_c(sk0_0(X0,sum(X1,X2)),X2) ),
inference(resolution,[status(thm)],[f25,f114]) ).
fof(f163,plain,
! [X0,X1,X2] :
( part_of(X0,X1)
| ~ part_of(X2,X1)
| ~ incident_c(sk0_0(X0,X1),X2) ),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f305,plain,
! [X0] :
( part_of(X0,sk0_15)
| ~ incident_c(sk0_0(X0,sk0_15),sk0_13) ),
inference(resolution,[status(thm)],[f163,f108]) ).
fof(f306,plain,
! [X0] :
( part_of(X0,sk0_15)
| ~ incident_c(sk0_0(X0,sk0_15),sk0_14) ),
inference(resolution,[status(thm)],[f163,f109]) ).
fof(f450,plain,
! [X0] :
( X0 = sum(X0,X0)
| X0 = sum(X0,X0)
| ~ incident_c(sk0_1(X0,X0,X0),X0) ),
inference(resolution,[status(thm)],[f34,f33]) ).
fof(f451,plain,
! [X0] :
( X0 = sum(X0,X0)
| ~ incident_c(sk0_1(X0,X0,X0),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f450]) ).
fof(f663,plain,
! [X0] :
( X0 = sum(X0,X0)
| X0 = sum(X0,X0) ),
inference(resolution,[status(thm)],[f451,f34]) ).
fof(f664,plain,
! [X0] : X0 = sum(X0,X0),
inference(duplicate_literals_removal,[status(esa)],[f663]) ).
fof(f1065,plain,
! [X0,X1] :
( part_of(X0,sum(X1,X0))
| part_of(X0,sum(X1,X0)) ),
inference(resolution,[status(thm)],[f161,f24]) ).
fof(f1066,plain,
! [X0,X1] : part_of(X0,sum(X1,X0)),
inference(duplicate_literals_removal,[status(esa)],[f1065]) ).
fof(f1080,plain,
! [X0,X1] :
( X0 = sum(X1,X0)
| open(X0) ),
inference(resolution,[status(thm)],[f1066,f76]) ).
fof(f1143,plain,
! [X0] : sum(sk0_13,sk0_14) = sum(X0,sum(sk0_13,sk0_14)),
inference(resolution,[status(thm)],[f1080,f111]) ).
fof(f1903,plain,
! [X0,X1] :
( incident_c(X0,sum(sk0_13,sk0_14))
| ~ incident_c(X0,X1) ),
inference(paramodulation,[status(thm)],[f1143,f113]) ).
fof(f1911,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| incident_c(X0,sk0_13)
| incident_c(X0,sk0_14) ),
inference(resolution,[status(thm)],[f1903,f112]) ).
fof(f1943,plain,
! [X0,X1] :
( ~ incident_c(sk0_0(X0,sk0_15),X1)
| incident_c(sk0_0(X0,sk0_15),sk0_13)
| part_of(X0,sk0_15) ),
inference(resolution,[status(thm)],[f1911,f306]) ).
fof(f1944,plain,
! [X0,X1] :
( ~ incident_c(sk0_0(X0,sk0_15),X1)
| part_of(X0,sk0_15) ),
inference(forward_subsumption_resolution,[status(thm)],[f1943,f305]) ).
fof(f1947,plain,
! [X0] :
( part_of(sum(X0,X0),sk0_15)
| part_of(sum(X0,X0),sk0_15) ),
inference(resolution,[status(thm)],[f1944,f158]) ).
fof(f1948,plain,
! [X0] :
( part_of(X0,sk0_15)
| part_of(sum(X0,X0),sk0_15) ),
inference(forward_demodulation,[status(thm)],[f664,f1947]) ).
fof(f1949,plain,
! [X0] :
( part_of(X0,sk0_15)
| part_of(X0,sk0_15) ),
inference(forward_demodulation,[status(thm)],[f664,f1948]) ).
fof(f1950,plain,
! [X0] : part_of(X0,sk0_15),
inference(duplicate_literals_removal,[status(esa)],[f1949]) ).
fof(f1989,plain,
! [X0] :
( X0 = sk0_15
| open(X0) ),
inference(resolution,[status(thm)],[f1950,f76]) ).
fof(f1991,plain,
sum(sk0_13,sk0_14) = sk0_15,
inference(resolution,[status(thm)],[f1989,f111]) ).
fof(f1998,plain,
~ open(sk0_15),
inference(backward_demodulation,[status(thm)],[f1991,f111]) ).
fof(f1999,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1998,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n023.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 12:19:23 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.10/0.29 % Refutation found
% 0.10/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.30 % Elapsed time: 0.041873 seconds
% 0.10/0.30 % CPU time: 0.243689 seconds
% 0.10/0.30 % Memory used: 22.068 MB
%------------------------------------------------------------------------------