TSTP Solution File: COL076-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL076-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:13:46 EDT 2024
% Result : Unsatisfiable 211.95s 27.08s
% Output : CNFRefutation 211.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 21 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : apply(projection2,pair(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : apply(pair(X,Y),Z) = pair(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : apply(apply(apply(abstraction,X),Y),Z) = apply(apply(X,apply(k,Z)),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( X = Y
| apply(X,n(X,Y)) != apply(Y,n(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : apply(apply(f,X),Y) = apply(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [Y] : Y != apply(eq,pair(apply(k,Y),apply(k,projection2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0,X1] : apply(projection2,pair(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1,X2] : apply(pair(X0,X1),X2) = pair(apply(X0,X2),apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,apply(k,X2)),apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1] :
( X0 = X1
| apply(X0,n(X0,X1)) != apply(X1,n(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
! [X0,X1] : apply(apply(f,X0),X1) = apply(X0,X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
! [X0] : X0 != apply(eq,pair(apply(k,X0),apply(k,projection2))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
! [X0,X1,X2] : apply(pair(apply(k,X0),X1),X2) = pair(X0,apply(X1,X2)),
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f21,plain,
! [X0,X1,X2] : apply(pair(X0,projection2),pair(X1,X2)) = pair(apply(X0,pair(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f12,f14]) ).
fof(f330,plain,
! [X0,X1] :
( apply(k,X0) = X1
| X0 != apply(X1,n(apply(k,X0),X1)) ),
inference(paramodulation,[status(thm)],[f10,f16]) ).
fof(f530,plain,
! [X0,X1,X2] : apply(apply(apply(abstraction,apply(k,X0)),X1),X2) = apply(X0,apply(X1,X2)),
inference(paramodulation,[status(thm)],[f10,f15]) ).
fof(f1647,plain,
! [X0] : apply(k,apply(X0,X0)) = apply(f,X0),
inference(resolution,[status(thm)],[f330,f17]) ).
fof(f1650,plain,
! [X0,X1,X2] :
( apply(k,X0) = pair(apply(k,X1),X2)
| X0 != pair(X1,apply(X2,n(apply(k,X0),pair(apply(k,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f20,f330]) ).
fof(f250772,plain,
! [X0,X1,X2] :
( apply(k,X0) = pair(apply(k,X1),apply(k,X2))
| X0 != pair(X1,X2) ),
inference(paramodulation,[status(thm)],[f10,f1650]) ).
fof(f250773,plain,
! [X0,X1] : apply(k,pair(X0,X1)) = pair(apply(k,X0),apply(k,X1)),
inference(destructive_equality_resolution,[status(esa)],[f250772]) ).
fof(f251555,plain,
! [X0] : X0 != apply(eq,apply(k,pair(X0,projection2))),
inference(backward_demodulation,[status(thm)],[f250773,f18]) ).
fof(f252466,plain,
! [X0,X1] : apply(X0,pair(X1,projection2)) != apply(eq,apply(k,apply(pair(X0,projection2),pair(X1,projection2)))),
inference(paramodulation,[status(thm)],[f21,f251555]) ).
fof(f262343,plain,
! [X0] : apply(X0,pair(X0,projection2)) != apply(eq,apply(f,pair(X0,projection2))),
inference(paramodulation,[status(thm)],[f1647,f252466]) ).
fof(f262463,plain,
$false,
inference(resolution,[status(thm)],[f262343,f530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : COL076-2 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n005.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 22:22:56 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.35 % Drodi V3.6.0
% 211.95/27.08 % Refutation found
% 211.95/27.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 211.95/27.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 214.80/28.00 % Elapsed time: 27.414967 seconds
% 214.80/28.00 % CPU time: 194.661856 seconds
% 214.80/28.00 % Total memory used: 2.415 GB
% 214.80/28.00 % Net memory used: 2.397 GB
%------------------------------------------------------------------------------