TSTP Solution File: GEO093-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n010.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 20:17:05 EDT 2024
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 104 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 44 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( incident_c(ax0_sk1(A,B),A)
| part_of(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( ~ incident_c(ax0_sk1(A,B),B)
| part_of(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( A != sum(B,C)
| ~ incident_c(D,A)
| incident_c(D,B)
| incident_c(D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( A != sum(B,C)
| ~ incident_c(D,B)
| incident_c(D,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] :
( A != sum(B,C)
| ~ incident_c(D,C)
| incident_c(D,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B] :
( ~ part_of(A,B)
| A = B
| open(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
~ open(sum(sk15,sk16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,plain,
! [B,C] :
( ! [A] :
( ~ part_of(A,B)
| ~ incident_c(C,A) )
| incident_c(C,B) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f58,plain,
! [C,D] :
( ! [B] :
( ! [A] :
( A != sum(B,C)
| ~ incident_c(D,A) )
| incident_c(D,B) )
| incident_c(D,C) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f59,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)],[f58]) ).
fof(f60,plain,
! [A,D] :
( ! [B] :
( ! [C] : A != sum(B,C)
| ~ incident_c(D,B) )
| incident_c(D,A) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X1)
| incident_c(X3,X0) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f62,plain,
! [A,D] :
( ! [C] :
( ! [B] : A != sum(B,C)
| ~ incident_c(D,C) )
| incident_c(D,A) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( X0 != sum(X1,X2)
| ~ incident_c(X3,X2)
| incident_c(X3,X0) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f99,plain,
! [A] :
( ! [B] :
( ~ part_of(A,B)
| A = B )
| open(A) ),
inference(miniscoping,[status(esa)],[f35]) ).
fof(f100,plain,
! [X0,X1] :
( ~ part_of(X0,X1)
| X0 = X1
| open(X0) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f118,plain,
open(sk14),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f119,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f120,plain,
part_of(sk16,sk14),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f122,plain,
~ open(sum(sk15,sk16)),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ incident_c(X0,sum(X1,X2))
| incident_c(X0,X1)
| incident_c(X0,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f59]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ incident_c(X0,X1)
| incident_c(X0,sum(X1,X2)) ),
inference(destructive_equality_resolution,[status(esa)],[f61]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ incident_c(X0,X1)
| incident_c(X0,sum(X2,X1)) ),
inference(destructive_equality_resolution,[status(esa)],[f63]) ).
fof(f191,plain,
! [X0,X1,X2] :
( part_of(X0,sum(X1,X2))
| ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2) ),
inference(resolution,[status(thm)],[f57,f125]) ).
fof(f193,plain,
! [X0,X1,X2] :
( part_of(X0,X1)
| ~ part_of(X2,X1)
| ~ incident_c(ax0_sk1(X0,X1),X2) ),
inference(resolution,[status(thm)],[f57,f55]) ).
fof(f223,plain,
! [X0] :
( part_of(X0,sk14)
| ~ incident_c(ax0_sk1(X0,sk14),sk16) ),
inference(resolution,[status(thm)],[f193,f120]) ).
fof(f224,plain,
! [X0] :
( part_of(X0,sk14)
| ~ incident_c(ax0_sk1(X0,sk14),sk15) ),
inference(resolution,[status(thm)],[f193,f119]) ).
fof(f237,plain,
! [X0,X1] :
( part_of(X0,sum(X1,X0))
| part_of(X0,sum(X1,X0)) ),
inference(resolution,[status(thm)],[f191,f56]) ).
fof(f238,plain,
! [X0,X1] : part_of(X0,sum(X1,X0)),
inference(duplicate_literals_removal,[status(esa)],[f237]) ).
fof(f245,plain,
! [X0,X1] :
( X0 = sum(X1,X0)
| open(X0) ),
inference(resolution,[status(thm)],[f238,f100]) ).
fof(f262,plain,
! [X0] : sum(sk15,sk16) = sum(X0,sum(sk15,sk16)),
inference(resolution,[status(thm)],[f245,f122]) ).
fof(f267,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| incident_c(X0,sum(sk15,sk16)) ),
inference(paramodulation,[status(thm)],[f262,f124]) ).
fof(f274,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| incident_c(X0,sk15)
| incident_c(X0,sk16) ),
inference(resolution,[status(thm)],[f267,f123]) ).
fof(f285,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,sk14),X1)
| incident_c(ax0_sk1(X0,sk14),sk15)
| part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f274,f223]) ).
fof(f286,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,sk14),X1)
| part_of(X0,sk14) ),
inference(forward_subsumption_resolution,[status(thm)],[f285,f224]) ).
fof(f290,plain,
! [X0] :
( part_of(X0,sk14)
| part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f286,f56]) ).
fof(f291,plain,
! [X0] : part_of(X0,sk14),
inference(duplicate_literals_removal,[status(esa)],[f290]) ).
fof(f298,plain,
! [X0] :
( X0 = sk14
| open(X0) ),
inference(resolution,[status(thm)],[f291,f100]) ).
fof(f299,plain,
sum(sk15,sk16) = sk14,
inference(resolution,[status(thm)],[f298,f122]) ).
fof(f305,plain,
~ open(sk14),
inference(backward_demodulation,[status(thm)],[f299,f122]) ).
fof(f306,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f305,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO093-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:18:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.45 % Elapsed time: 0.089769 seconds
% 0.19/0.45 % CPU time: 0.580297 seconds
% 0.19/0.45 % Total memory used: 56.382 MB
% 0.19/0.45 % Net memory used: 56.091 MB
%------------------------------------------------------------------------------