TSTP Solution File: SYN100-1.005 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:51:19 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 30
% Syntax : Number of formulae : 91 ( 9 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 242 ( 115 ~; 113 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 15 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] :
( ~ p_0(X)
| ~ q_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( p_0(X)
| ~ p_1(X)
| ~ p_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( p_1(X)
| ~ p_2(X)
| ~ p_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( p_2(X)
| ~ p_3(X)
| ~ p_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( p_3(X)
| ~ p_4(X)
| ~ p_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( p_4(X)
| ~ p_5(X)
| ~ p_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( p_5(X)
| ~ p_6(X)
| ~ p_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( p_6(X)
| ~ p_7(X)
| ~ p_8(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( p_7(X)
| ~ p_8(X)
| ~ p_9(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( q_0(X)
| ~ p_1(X)
| ~ q_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( q_2(X)
| ~ p_3(X)
| ~ q_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( q_4(X)
| ~ p_5(X)
| ~ q_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( q_6(X)
| ~ p_7(X)
| ~ q_8(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
p_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
p_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
q_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,plain,
! [X0] :
( ~ p_0(X0)
| ~ q_0(X0) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f84,plain,
! [X0] :
( p_0(X0)
| ~ p_1(X0)
| ~ p_2(X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f86,plain,
! [X0] :
( p_1(X0)
| ~ p_2(X0)
| ~ p_3(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f88,plain,
! [X0] :
( p_2(X0)
| ~ p_3(X0)
| ~ p_4(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f90,plain,
! [X0] :
( p_3(X0)
| ~ p_4(X0)
| ~ p_5(X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f92,plain,
! [X0] :
( p_4(X0)
| ~ p_5(X0)
| ~ p_6(X0) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f94,plain,
! [X0] :
( p_5(X0)
| ~ p_6(X0)
| ~ p_7(X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f96,plain,
! [X0] :
( p_6(X0)
| ~ p_7(X0)
| ~ p_8(X0) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f98,plain,
! [X0] :
( p_7(X0)
| ~ p_8(X0)
| ~ p_9(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f100,plain,
! [X0] :
( q_0(X0)
| ~ p_1(X0)
| ~ q_2(X0) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f104,plain,
! [X0] :
( q_2(X0)
| ~ p_3(X0)
| ~ q_4(X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f108,plain,
! [X0] :
( q_4(X0)
| ~ p_5(X0)
| ~ q_6(X0) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f112,plain,
! [X0] :
( q_6(X0)
| ~ p_7(X0)
| ~ q_8(X0) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f120,plain,
p_8(a),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f121,plain,
p_9(a),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f122,plain,
q_8(a),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f165,plain,
( spl0_0
<=> p_7(a) ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( p_7(a)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( spl0_1
<=> p_9(a) ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( ~ p_9(a)
| spl0_1 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( p_7(a)
| ~ p_9(a) ),
inference(resolution,[status(thm)],[f98,f120]) ).
fof(f172,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f171,f165,f168]) ).
fof(f173,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f121]) ).
fof(f174,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f180,plain,
( spl0_3
<=> p_6(a) ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( p_6(a)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( spl0_4
<=> p_8(a) ),
introduced(split_symbol_definition) ).
fof(f185,plain,
( ~ p_8(a)
| spl0_4 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( p_6(a)
| ~ p_8(a)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f166,f96]) ).
fof(f187,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f186,f180,f183,f165]) ).
fof(f188,plain,
( spl0_5
<=> p_5(a) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( p_5(a)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( p_5(a)
| ~ p_6(a)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f166,f94]) ).
fof(f192,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f191,f188,f180,f165]) ).
fof(f193,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f120]) ).
fof(f194,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( spl0_6
<=> p_3(a) ),
introduced(split_symbol_definition) ).
fof(f196,plain,
( p_3(a)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( spl0_7
<=> p_4(a) ),
introduced(split_symbol_definition) ).
fof(f199,plain,
( p_4(a)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( p_3(a)
| ~ p_4(a)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f189,f90]) ).
fof(f202,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f201,f195,f198,f188]) ).
fof(f203,plain,
( p_4(a)
| ~ p_5(a)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f181,f92]) ).
fof(f204,plain,
( spl0_7
| ~ spl0_5
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f203,f198,f188,f180]) ).
fof(f205,plain,
( spl0_8
<=> p_1(a) ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( p_1(a)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( spl0_9
<=> p_2(a) ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( p_1(a)
| ~ p_2(a)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f196,f86]) ).
fof(f212,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f211,f205,f208,f195]) ).
fof(f213,plain,
( p_2(a)
| ~ p_3(a)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f199,f88]) ).
fof(f214,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f213,f208,f195,f198]) ).
fof(f215,plain,
( spl0_10
<=> p_0(a) ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( p_0(a)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( p_0(a)
| ~ p_2(a)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f206,f84]) ).
fof(f219,plain,
( spl0_10
| ~ spl0_9
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f218,f215,f208,f205]) ).
fof(f222,plain,
( spl0_11
<=> q_6(a) ),
introduced(split_symbol_definition) ).
fof(f223,plain,
( q_6(a)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( q_6(a)
| ~ p_7(a) ),
inference(resolution,[status(thm)],[f112,f122]) ).
fof(f226,plain,
( spl0_11
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f225,f222,f165]) ).
fof(f232,plain,
( spl0_13
<=> q_4(a) ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( q_4(a)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( q_4(a)
| ~ p_5(a)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f223,f108]) ).
fof(f236,plain,
( spl0_13
| ~ spl0_5
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f235,f232,f188,f222]) ).
fof(f244,plain,
( spl0_15
<=> q_2(a) ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( q_2(a)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( q_2(a)
| ~ p_3(a)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f233,f104]) ).
fof(f248,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f247,f244,f195,f232]) ).
fof(f262,plain,
( spl0_17
<=> q_0(a) ),
introduced(split_symbol_definition) ).
fof(f263,plain,
( q_0(a)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( q_0(a)
| ~ p_1(a)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f245,f100]) ).
fof(f266,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f265,f262,f205,f244]) ).
fof(f275,plain,
( ~ p_0(a)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f263,f83]) ).
fof(f276,plain,
( $false
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f275,f216]) ).
fof(f277,plain,
( ~ spl0_10
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f276]) ).
fof(f278,plain,
$false,
inference(sat_refutation,[status(thm)],[f172,f174,f187,f192,f194,f202,f204,f212,f214,f219,f226,f236,f248,f266,f277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 22:24:02 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.018125 seconds
% 0.13/0.36 % CPU time: 0.044819 seconds
% 0.13/0.36 % Total memory used: 2.712 MB
% 0.13/0.36 % Net memory used: 2.706 MB
%------------------------------------------------------------------------------