TSTP Solution File: NUM021-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:24:21 EDT 2023
% Result : Unsatisfiable 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 37 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B,C] :
( ~ less(A,B)
| ~ less(C,A)
| less(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] :
( ~ equalish(add(successor(A),B),C)
| less(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ less(A,B)
| equalish(add(successor(predecessor_of_1st_minus_2nd(B,A)),A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( ~ divides(A,B)
| less(A,B)
| equalish(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] :
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
less(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
divides(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [B,C] :
( ! [A] :
( ~ less(A,B)
| ~ less(C,A) )
| less(C,B) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [B,C] :
( ! [A] : ~ equalish(add(successor(A),B),C)
| less(B,C) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ~ less(X0,X1)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( ~ divides(X0,X1)
| less(X0,X1)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f36,plain,
! [X,Z] :
( ! [Y] :
( ~ equalish(X,Y)
| ~ equalish(Y,Z) )
| equalish(X,Z) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
less(b,c),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f39,plain,
~ less(b,a),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f40,plain,
divides(c,a),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f89,plain,
! [X0] :
( ~ less(X0,a)
| ~ less(b,X0) ),
inference(resolution,[status(thm)],[f27,f39]) ).
fof(f91,plain,
! [X0] :
( ~ less(b,X0)
| ~ divides(X0,a)
| equalish(X0,a) ),
inference(resolution,[status(thm)],[f89,f31]) ).
fof(f92,plain,
! [X0] : ~ equalish(add(successor(X0),b),a),
inference(resolution,[status(thm)],[f29,f39]) ).
fof(f94,plain,
! [X0,X1] :
( ~ equalish(add(successor(X0),b),X1)
| ~ equalish(X1,a) ),
inference(resolution,[status(thm)],[f92,f37]) ).
fof(f263,plain,
( spl0_2
<=> less(b,c) ),
introduced(split_symbol_definition) ).
fof(f265,plain,
( ~ less(b,c)
| spl0_2 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_3
<=> equalish(c,a) ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( equalish(c,a)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( ~ less(b,c)
| equalish(c,a) ),
inference(resolution,[status(thm)],[f91,f40]) ).
fof(f270,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f269,f263,f266]) ).
fof(f272,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f38]) ).
fof(f273,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f272]) ).
fof(f277,plain,
! [X0] :
( ~ equalish(X0,a)
| ~ less(b,X0) ),
inference(resolution,[status(thm)],[f94,f30]) ).
fof(f282,plain,
~ equalish(c,a),
inference(resolution,[status(thm)],[f277,f38]) ).
fof(f283,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f267]) ).
fof(f284,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f283]) ).
fof(f285,plain,
$false,
inference(sat_refutation,[status(thm)],[f270,f273,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:06:02 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36 % Elapsed time: 0.058827 seconds
% 0.14/0.36 % CPU time: 0.029541 seconds
% 0.14/0.36 % Memory used: 769.890 KB
%------------------------------------------------------------------------------