TSTP Solution File: SWV594-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV594-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:43:41 EDT 2023
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 70 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 25 ~; 26 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,axiom,
! [V_x,V_y] :
( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
| V_x = V_y
| ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f753,axiom,
! [V_x] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f767,axiom,
! [V_x,V_y] :
( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1074,axiom,
! [V_x] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1088,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1090,axiom,
c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1092,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1369,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| X0 = X1
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f2448,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f753]) ).
fof(f2466,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f767]) ).
fof(f2950,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f1074]) ).
fof(f2968,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1088]) ).
fof(f2970,plain,
c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1090]) ).
fof(f2972,plain,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1092]) ).
fof(f3102,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f2466,f2968]) ).
fof(f3103,plain,
c_lessequals(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f2466,f2970]) ).
fof(f3104,plain,
( spl0_3
<=> c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3107,plain,
( spl0_4
<=> v_x = c_Transcendental_Opi ),
introduced(split_symbol_definition) ).
fof(f3108,plain,
( v_x = c_Transcendental_Opi
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f3107]) ).
fof(f3110,plain,
( c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| v_x = c_Transcendental_Opi ),
inference(resolution,[status(thm)],[f3103,f1369]) ).
fof(f3111,plain,
( spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f3110,f3104,f3107]) ).
fof(f3112,plain,
( spl0_5
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3115,plain,
( spl0_6
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_x ),
introduced(split_symbol_definition) ).
fof(f3116,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_x
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f3115]) ).
fof(f3118,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_x ),
inference(resolution,[status(thm)],[f3102,f1369]) ).
fof(f3119,plain,
( spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f3118,f3112,f3115]) ).
fof(f3187,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f3108,f2970]) ).
fof(f3188,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f3187,f2448]) ).
fof(f3189,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f3188]) ).
fof(f3263,plain,
( c_HOL_Oord__class_Oless(v_x,v_x,tc_RealDef_Oreal)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f3116,f2968]) ).
fof(f3264,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f3263,f2448]) ).
fof(f3265,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f3264]) ).
fof(f3394,plain,
( spl0_36
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3395,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f3394]) ).
fof(f4566,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
inference(paramodulation,[status(thm)],[f2972,f2950]) ).
fof(f4567,plain,
( spl0_36
| ~ spl0_3
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f4566,f3394,f3104,f3112]) ).
fof(f4569,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f3395,f2448]) ).
fof(f4570,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f4569]) ).
fof(f4571,plain,
$false,
inference(sat_refutation,[status(thm)],[f3111,f3119,f3189,f3265,f4567,f4570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV594-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:41:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.41 % Drodi V3.5.1
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.73 % Elapsed time: 0.151954 seconds
% 0.32/0.73 % CPU time: 0.204020 seconds
% 0.32/0.73 % Memory used: 47.314 MB
%------------------------------------------------------------------------------