TSTP Solution File: GEO087+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO087+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 : Tue Apr 30 20:17:04 EDT 2024
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 158 ( 61 ~; 50 |; 38 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 90 ( 80 !; 10 ?)
% 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(f4,axiom,
! [P,C] :
( inner_point(P,C)
<=> ( incident_c(P,C)
& ~ end_point(P,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [C] :
? [P] : inner_point(P,C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,C1,C2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,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(f47,plain,
! [P,C] :
( ( ~ inner_point(P,C)
| ( incident_c(P,C)
& ~ end_point(P,C) ) )
& ( inner_point(P,C)
| ~ incident_c(P,C)
| end_point(P,C) ) ),
inference(NNF_transformation,[status(esa)],[f4]) ).
fof(f48,plain,
( ! [P,C] :
( ~ inner_point(P,C)
| ( incident_c(P,C)
& ~ end_point(P,C) ) )
& ! [P,C] :
( inner_point(P,C)
| ~ incident_c(P,C)
| end_point(P,C) ) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f52,plain,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ~ incident_c(Q,C)
| ~ incident_c(Q,C1)
| ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f53,plain,
! [P,C,C1] :
( ( ~ meet(P,C,C1)
| ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ~ incident_c(Q,C)
| ~ incident_c(Q,C1)
| ( end_point(Q,C)
& end_point(Q,C1) ) ) ) )
& ( meet(P,C,C1)
| ~ incident_c(P,C)
| ~ incident_c(P,C1)
| ? [Q] :
( incident_c(Q,C)
& incident_c(Q,C1)
& ( ~ end_point(Q,C)
| ~ end_point(Q,C1) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
( ! [P,C,C1] :
( ~ meet(P,C,C1)
| ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ~ incident_c(Q,C)
| ~ incident_c(Q,C1)
| ( end_point(Q,C)
& end_point(Q,C1) ) ) ) )
& ! [P,C,C1] :
( meet(P,C,C1)
| ~ incident_c(P,C)
| ~ incident_c(P,C1)
| ? [Q] :
( incident_c(Q,C)
& incident_c(Q,C1)
& ( ~ end_point(Q,C)
| ~ end_point(Q,C1) ) ) ) ),
inference(miniscoping,[status(esa)],[f53]) ).
fof(f55,plain,
( ! [P,C,C1] :
( ~ meet(P,C,C1)
| ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ~ incident_c(Q,C)
| ~ incident_c(Q,C1)
| ( end_point(Q,C)
& end_point(Q,C1) ) ) ) )
& ! [P,C,C1] :
( meet(P,C,C1)
| ~ incident_c(P,C)
| ~ incident_c(P,C1)
| ( incident_c(sk0_4(C1,C,P),C)
& incident_c(sk0_4(C1,C,P),C1)
& ( ~ end_point(sk0_4(C1,C,P),C)
| ~ end_point(sk0_4(C1,C,P),C1) ) ) ) ),
inference(skolemization,[status(esa)],[f54]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f80,plain,
! [C] : inner_point(sk0_7(C),C),
inference(skolemization,[status(esa)],[f10]) ).
fof(f81,plain,
! [X0] : inner_point(sk0_7(X0),X0),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f104,plain,
? [C1,C2] :
( part_of(C1,C2)
& ? [P] : meet(P,C1,C2) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f105,plain,
( part_of(sk0_13,sk0_14)
& meet(sk0_15,sk0_13,sk0_14) ),
inference(skolemization,[status(esa)],[f104]) ).
fof(f106,plain,
part_of(sk0_13,sk0_14),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f107,plain,
meet(sk0_15,sk0_13,sk0_14),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f161,plain,
! [X0] : incident_c(sk0_7(X0),X0),
inference(resolution,[status(thm)],[f49,f81]) ).
fof(f162,plain,
! [X0] : ~ end_point(sk0_7(X0),X0),
inference(resolution,[status(thm)],[f50,f81]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| ~ incident_c(sk0_7(X1),X1)
| ~ incident_c(sk0_7(X1),X2) ),
inference(resolution,[status(thm)],[f162,f58]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| ~ incident_c(sk0_7(X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f161]) ).
fof(f224,plain,
~ incident_c(sk0_7(sk0_13),sk0_14),
inference(resolution,[status(thm)],[f166,f107]) ).
fof(f225,plain,
! [X0] :
( ~ part_of(X0,sk0_14)
| ~ incident_c(sk0_7(sk0_13),X0) ),
inference(resolution,[status(thm)],[f224,f23]) ).
fof(f226,plain,
~ incident_c(sk0_7(sk0_13),sk0_13),
inference(resolution,[status(thm)],[f225,f106]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f226,f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Apr 30 01:40:41 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % Drodi V3.6.0
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36 % Elapsed time: 0.021043 seconds
% 0.14/0.36 % CPU time: 0.048418 seconds
% 0.14/0.36 % Total memory used: 13.054 MB
% 0.14/0.36 % Net memory used: 12.978 MB
%------------------------------------------------------------------------------