TSTP Solution File: HWV023-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV023-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:21:59 EDT 2024
% Result : Unsatisfiable 0.23s 0.66s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 64 ( 26 unt; 0 def)
% Number of atoms : 127 ( 41 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 111 ( 48 ~; 59 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X_1] : gt(plus(X_1,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X_3,Y_4,Z_5] :
( minus(X_3,Y_4) != Z_5
| plus(Z_5,Y_4) = X_3
| def_10(Y_4,X_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X_3,Y_4,Z_5] :
( minus(X_3,Y_4) = Z_5
| plus(Z_5,Y_4) != X_3
| def_10(Y_4,X_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Y_4,X_3] :
( ~ def_10(Y_4,X_3)
| X_3 != Y_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X_31] : plus(n0,X_31) = X_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X_t_35] :
( int_level(X_t_35) != n0
| p_Empty(X_t_35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
level(t_139) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,plain,
! [X0] : gt(plus(X0,n1),n0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f99,plain,
! [X_3,Y_4] :
( ! [Z_5] :
( minus(X_3,Y_4) != Z_5
| plus(Z_5,Y_4) = X_3 )
| def_10(Y_4,X_3) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f100,plain,
! [X0,X1,X2] :
( minus(X0,X1) != X2
| plus(X2,X1) = X0
| def_10(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [X_3,Y_4] :
( ! [Z_5] :
( minus(X_3,Y_4) = Z_5
| plus(Z_5,Y_4) != X_3 )
| def_10(Y_4,X_3) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f102,plain,
! [X0,X1,X2] :
( minus(X0,X1) = X2
| plus(X2,X1) != X0
| def_10(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f104,plain,
! [X0,X1] :
( ~ def_10(X0,X1)
| X1 != X0 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f117,plain,
! [X0] : plus(n0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f119,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f122,plain,
! [X0] :
( int_level(X0) != n0
| p_Empty(X0) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f171,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| int_level(plus(X0,n1)) = minus(int_level(X0),n1) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f191,plain,
level(t_139) = n1,
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f192,plain,
~ p_Wr(t_139),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f193,plain,
p_Rd(t_139),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f194,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f195,plain,
~ p_Empty(plus(t_139,n1)),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f196,plain,
! [X0,X1] :
( plus(minus(X0,X1),X1) = X0
| def_10(X1,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f100]) ).
fof(f197,plain,
! [X0,X1] :
( minus(plus(X0,X1),X1) = X0
| def_10(X1,plus(X0,X1)) ),
inference(destructive_equality_resolution,[status(esa)],[f102]) ).
fof(f198,plain,
! [X0] : ~ def_10(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f104]) ).
fof(f201,plain,
! [X0] :
( level(X0) != n0
| p_Empty(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f122]) ).
fof(f255,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(level(X0),n0)
| int_level(plus(X0,n1)) = minus(int_level(X0),n1) ),
inference(forward_demodulation,[status(thm)],[f119,f171]) ).
fof(f256,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(level(X0),n0)
| level(plus(X0,n1)) = minus(int_level(X0),n1) ),
inference(forward_demodulation,[status(thm)],[f119,f255]) ).
fof(f257,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(level(X0),n0)
| level(plus(X0,n1)) = minus(level(X0),n1) ),
inference(forward_demodulation,[status(thm)],[f119,f256]) ).
fof(f348,plain,
! [X0] : plus(minus(X0,X0),X0) = X0,
inference(resolution,[status(thm)],[f196,f198]) ).
fof(f368,plain,
gt(n1,n0),
inference(paramodulation,[status(thm)],[f348,f97]) ).
fof(f398,plain,
! [X0] :
( minus(plus(n0,X0),X0) = n0
| def_10(X0,X0) ),
inference(paramodulation,[status(thm)],[f117,f197]) ).
fof(f399,plain,
! [X0] :
( minus(X0,X0) = n0
| def_10(X0,X0) ),
inference(forward_demodulation,[status(thm)],[f117,f398]) ).
fof(f400,plain,
! [X0] : minus(X0,X0) = n0,
inference(forward_subsumption_resolution,[status(thm)],[f399,f198]) ).
fof(f489,plain,
level(plus(t_139,n1)) != n0,
inference(resolution,[status(thm)],[f201,f195]) ).
fof(f498,plain,
( spl0_26
<=> p_Reset(t_139) ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( p_Reset(t_139)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f506,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f194]) ).
fof(f507,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f511,plain,
( spl0_28
<=> p_Wr(t_139) ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( p_Wr(t_139)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f520,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f192]) ).
fof(f521,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f543,plain,
( spl0_34
<=> gt(level(t_139),n0) ),
introduced(split_symbol_definition) ).
fof(f545,plain,
( ~ gt(level(t_139),n0)
| spl0_34 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f554,plain,
( ~ gt(n1,n0)
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f191,f545]) ).
fof(f555,plain,
( $false
| spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f368]) ).
fof(f556,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( spl0_36
<=> level(plus(t_139,n1)) = minus(level(t_139),n1) ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( level(plus(t_139,n1)) = minus(level(t_139),n1)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| ~ gt(level(t_139),n0)
| level(plus(t_139,n1)) = minus(level(t_139),n1) ),
inference(resolution,[status(thm)],[f257,f193]) ).
fof(f562,plain,
( spl0_26
| spl0_28
| ~ spl0_34
| spl0_36 ),
inference(split_clause,[status(thm)],[f561,f498,f511,f543,f558]) ).
fof(f571,plain,
( level(plus(t_139,n1)) = minus(n1,n1)
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f191,f559]) ).
fof(f572,plain,
( level(plus(t_139,n1)) = n0
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f400,f571]) ).
fof(f573,plain,
( n0 != n0
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f572,f489]) ).
fof(f574,plain,
( $false
| ~ spl0_36 ),
inference(trivial_equality_resolution,[status(esa)],[f573]) ).
fof(f575,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
$false,
inference(sat_refutation,[status(thm)],[f507,f521,f556,f562,f575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.33 % Problem : HWV023-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.34 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.57 % Computer : n004.cluster.edu
% 0.13/0.57 % Model : x86_64 x86_64
% 0.13/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.57 % Memory : 8042.1875MB
% 0.13/0.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.57 % CPULimit : 300
% 0.13/0.57 % WCLimit : 300
% 0.13/0.57 % DateTime : Tue Apr 30 01:01:49 EDT 2024
% 0.13/0.57 % CPUTime :
% 0.21/0.59 % Drodi V3.6.0
% 0.23/0.66 % Refutation found
% 0.23/0.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.68 % Elapsed time: 0.087439 seconds
% 0.23/0.68 % CPU time: 0.560688 seconds
% 0.23/0.68 % Total memory used: 69.700 MB
% 0.23/0.68 % Net memory used: 69.126 MB
%------------------------------------------------------------------------------