TSTP Solution File: HWV020-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV020-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:21:58 EDT 2024
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 73 ( 19 unt; 0 def)
% Number of atoms : 180 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 161 ( 54 ~; 99 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X_28] : ~ gt(X_28,X_28),
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(f25,axiom,
! [X_t_36] :
( int_level(X_t_36) = n0
| ~ p_Empty(X_t_36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,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)
| p_Rd_error(plus(X_t_42,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,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)
| p_Rd_error(plus(X_t_42,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,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)) = int_level(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| int_level(plus(X_t_42,n1)) = int_level(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
p_Empty(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ p_Wr(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))
| ~ p_Rd_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f17]) ).
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(f123,plain,
! [X0] :
( int_level(X0) = n0
| ~ p_Empty(X0) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f158,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1)) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f176,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1)) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f178,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| int_level(plus(X0,n1)) = int_level(X0) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f182,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| int_level(plus(X0,n1)) = int_level(X0) ),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f191,plain,
p_Rd(t_139),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f192,plain,
p_Empty(t_139),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f193,plain,
~ p_Wr(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))
| ~ p_Rd_error(plus(t_139,n1)) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f196,plain,
( spl0_0
<=> p_Empty(plus(t_139,n1)) ),
introduced(split_symbol_definition) ).
fof(f199,plain,
( spl0_1
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(split_symbol_definition) ).
fof(f201,plain,
( ~ p_Rd_error(plus(t_139,n1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f195,f196,f199]) ).
fof(f208,plain,
! [X0] :
( level(X0) != n0
| p_Empty(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f122]) ).
fof(f209,plain,
! [X0] :
( level(X0) = n0
| ~ p_Empty(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f123]) ).
fof(f247,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| gt(level(X0),n0)
| p_Rd_error(plus(X0,n1)) ),
inference(forward_demodulation,[status(thm)],[f119,f158]) ).
fof(f273,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(level(X0),n0)
| p_Rd_error(plus(X0,n1)) ),
inference(forward_demodulation,[status(thm)],[f119,f176]) ).
fof(f274,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Rd(X0)
| gt(level(X0),n0)
| p_Rd_error(plus(X0,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f247]) ).
fof(f277,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(level(X0),n0)
| int_level(plus(X0,n1)) = int_level(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f178]) ).
fof(f278,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(level(X0),n0)
| level(plus(X0,n1)) = int_level(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f277]) ).
fof(f279,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(level(X0),n0)
| level(plus(X0,n1)) = level(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f278]) ).
fof(f285,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| level(plus(X0,n1)) = int_level(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f182]) ).
fof(f286,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| level(plus(X0,n1)) = level(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f285]) ).
fof(f309,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| gt(level(X0),n0)
| level(plus(X0,n1)) = level(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f279,f286]) ).
fof(f321,plain,
level(t_139) = n0,
inference(resolution,[status(thm)],[f209,f192]) ).
fof(f333,plain,
( spl0_4
<=> p_Reset(t_139) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( p_Reset(t_139)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( spl0_5
<=> p_Rd(t_139) ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( ~ p_Rd(t_139)
| spl0_5 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( spl0_6
<=> level(plus(t_139,n1)) = level(t_139) ),
introduced(split_symbol_definition) ).
fof(f340,plain,
( level(plus(t_139,n1)) = level(t_139)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f344,plain,
( level(plus(t_139,n1)) = n0
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f321,f340]) ).
fof(f350,plain,
( spl0_8
<=> p_Wr(t_139) ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( p_Wr(t_139)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_9
<=> gt(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f354,plain,
( gt(n0,n0)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| gt(n0,n0)
| level(plus(t_139,n1)) = level(t_139) ),
inference(paramodulation,[status(thm)],[f321,f309]) ).
fof(f357,plain,
( spl0_4
| spl0_8
| spl0_9
| spl0_6 ),
inference(split_clause,[status(thm)],[f356,f333,f350,f353,f339]) ).
fof(f387,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f194]) ).
fof(f388,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f115]) ).
fof(f390,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f351,f193]) ).
fof(f392,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f564,plain,
( spl0_34
<=> gt(level(t_139),n0) ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( gt(level(t_139),n0)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( p_Reset(t_139)
| ~ p_Rd(t_139)
| gt(level(t_139),n0)
| spl0_1 ),
inference(resolution,[status(thm)],[f201,f274]) ).
fof(f568,plain,
( spl0_4
| ~ spl0_5
| spl0_34
| spl0_1 ),
inference(split_clause,[status(thm)],[f567,f333,f336,f564,f199]) ).
fof(f581,plain,
( gt(n0,n0)
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f321,f565]) ).
fof(f582,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f115]) ).
fof(f583,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f637,plain,
( p_Empty(plus(t_139,n1))
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f344,f208]) ).
fof(f638,plain,
( spl0_0
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f637,f196,f339]) ).
fof(f684,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f191]) ).
fof(f685,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f686,plain,
$false,
inference(sat_refutation,[status(thm)],[f202,f357,f388,f390,f392,f568,f583,f638,f685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV020-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:12:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.48 % Elapsed time: 0.112755 seconds
% 0.20/0.48 % CPU time: 0.722271 seconds
% 0.20/0.48 % Total memory used: 66.811 MB
% 0.20/0.48 % Net memory used: 66.439 MB
%------------------------------------------------------------------------------