TSTP Solution File: SYN003-1.006 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN003-1.006 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:45:40 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of formulae : 64 ( 13 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 119 ( 53 ~; 53 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
( ~ p_5
| ~ q_5
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ p_1
| ~ r_1
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ~ p_2
| ~ r_2
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ~ p_3
| ~ r_3
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ~ p_4
| ~ r_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ~ q
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ~ r
| r_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ~ r
| r_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ~ r
| r_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ~ r
| r_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f30,plain,
( ~ p_1
| ~ r_1
| p_2 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f31,plain,
( ~ p_2
| ~ r_2
| p_3 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f32,plain,
( ~ p_3
| ~ r_3
| p_4 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f33,plain,
( ~ p_4
| ~ r_4
| p_5 ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f39,plain,
( ~ q
| q_5 ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f40,plain,
( ~ r
| r_1 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f41,plain,
( ~ r
| r_2 ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f42,plain,
( ~ r
| r_3 ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f43,plain,
( ~ r
| r_4 ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f45,plain,
p_1,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f46,plain,
~ p_6,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f47,plain,
q,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f48,plain,
r,
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f49,plain,
( spl0_0
<=> p_1 ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ p_1
| spl0_0 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f55,plain,
( spl0_2
<=> p_2 ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( spl0_4
<=> p_3 ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( spl0_6
<=> p_4 ),
introduced(split_symbol_definition) ).
fof(f76,plain,
( spl0_8
<=> p_5 ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( spl0_9
<=> q_5 ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( spl0_10
<=> p_6 ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( p_6
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(split_clause,[status(thm)],[f29,f76,f80,f83]) ).
fof(f87,plain,
( spl0_11
<=> r_1 ),
introduced(split_symbol_definition) ).
fof(f90,plain,
( ~ spl0_0
| ~ spl0_11
| spl0_2 ),
inference(split_clause,[status(thm)],[f30,f49,f87,f55]) ).
fof(f91,plain,
( spl0_12
<=> r_2 ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_4 ),
inference(split_clause,[status(thm)],[f31,f55,f91,f62]) ).
fof(f95,plain,
( spl0_13
<=> r_3 ),
introduced(split_symbol_definition) ).
fof(f98,plain,
( ~ spl0_4
| ~ spl0_13
| spl0_6 ),
inference(split_clause,[status(thm)],[f32,f62,f95,f69]) ).
fof(f99,plain,
( spl0_14
<=> r_4 ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( ~ spl0_6
| ~ spl0_14
| spl0_8 ),
inference(split_clause,[status(thm)],[f33,f69,f99,f76]) ).
fof(f107,plain,
( spl0_16
<=> q ),
introduced(split_symbol_definition) ).
fof(f109,plain,
( ~ q
| spl0_16 ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f114,plain,
( ~ spl0_16
| spl0_9 ),
inference(split_clause,[status(thm)],[f39,f107,f80]) ).
fof(f115,plain,
( spl0_17
<=> r ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( ~ r
| spl0_17 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( ~ spl0_17
| spl0_11 ),
inference(split_clause,[status(thm)],[f40,f115,f87]) ).
fof(f119,plain,
( ~ spl0_17
| spl0_12 ),
inference(split_clause,[status(thm)],[f41,f115,f91]) ).
fof(f120,plain,
( ~ spl0_17
| spl0_13 ),
inference(split_clause,[status(thm)],[f42,f115,f95]) ).
fof(f121,plain,
( ~ spl0_17
| spl0_14 ),
inference(split_clause,[status(thm)],[f43,f115,f99]) ).
fof(f123,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f45]) ).
fof(f124,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f48]) ).
fof(f126,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f47]) ).
fof(f128,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f46]) ).
fof(f130,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f129]) ).
fof(f131,plain,
$false,
inference(sat_refutation,[status(thm)],[f86,f90,f94,f98,f102,f114,f118,f119,f120,f121,f124,f126,f128,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SYN003-1.006 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.36 % Computer : n006.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Tue May 30 10:18:47 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.019156 seconds
% 0.12/0.38 % CPU time: 0.026732 seconds
% 0.12/0.38 % Memory used: 7.173 MB
%------------------------------------------------------------------------------