TSTP Solution File: GEO084-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO084-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:07:43 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 61 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 28 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 (; 34 !; 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(f49,negated_conjecture,
part_of(sk14,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
~ part_of(sum(sk14,sk15),sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [B,C] :
( ! [A] :
( ~ part_of(A,B)
| ~ incident_c(C,A) )
| incident_c(C,B) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f57,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(f58,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)],[f57]) ).
fof(f117,plain,
part_of(sk14,sk16),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f118,plain,
part_of(sk15,sk16),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f120,plain,
~ part_of(sum(sk14,sk15),sk16),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ incident_c(X0,sum(X1,X2))
| incident_c(X0,X1)
| incident_c(X0,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f58]) ).
fof(f137,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk16),
inference(resolution,[status(thm)],[f56,f120]) ).
fof(f140,plain,
! [X0] :
( ~ part_of(X0,sk16)
| ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),X0) ),
inference(resolution,[status(thm)],[f137,f54]) ).
fof(f157,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk15),
inference(resolution,[status(thm)],[f140,f118]) ).
fof(f158,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sk14),
inference(resolution,[status(thm)],[f140,f117]) ).
fof(f160,plain,
! [X0] :
( ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(X0,sk15))
| incident_c(ax0_sk1(sum(sk14,sk15),sk16),X0) ),
inference(resolution,[status(thm)],[f157,f121]) ).
fof(f231,plain,
( spl0_0
<=> incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15)) ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( ~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15))
| spl0_0 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f252,plain,
( part_of(sum(sk14,sk15),sk16)
| spl0_0 ),
inference(resolution,[status(thm)],[f233,f55]) ).
fof(f253,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f252,f120]) ).
fof(f254,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f258,plain,
~ incident_c(ax0_sk1(sum(sk14,sk15),sk16),sum(sk14,sk15)),
inference(resolution,[status(thm)],[f160,f158]) ).
fof(f259,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f232]) ).
fof(f260,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f261,plain,
$false,
inference(sat_refutation,[status(thm)],[f254,f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO084-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:55:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.58 % Refutation found
% 0.20/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.90/0.62 % Elapsed time: 0.268094 seconds
% 0.90/0.62 % CPU time: 1.143565 seconds
% 0.90/0.62 % Memory used: 55.085 MB
%------------------------------------------------------------------------------