TSTP Solution File: SWV598-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV598-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:43:42 EDT 2023
% Result : Unsatisfiable 71.51s 9.46s
% Output : CNFRefutation 72.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 25
% Syntax : Number of formulae : 72 ( 25 unt; 0 def)
% Number of atoms : 137 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 111 ( 46 ~; 53 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,axiom,
! [T_a,V_x,V_y] :
( ~ class_Orderings_Oorder(T_a)
| c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| V_x = V_y
| ~ c_lessequals(V_x,V_y,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f524,axiom,
! [T_a,V_x,V_y] :
( ~ class_Orderings_Olinorder(T_a)
| c_HOL_Oord__class_Oless(V_x,V_y,T_a)
| c_lessequals(V_y,V_x,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1206,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1216,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1218,axiom,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1219,axiom,
( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| v_x != c_Transcendental_Opi ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1220,axiom,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(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/sandbox2/benchmark/theBenchmark.p') ).
fof(f1221,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1222,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1280,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1289,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1291,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1323,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1520,plain,
! [X0,X1,X2] :
( ~ class_Orderings_Oorder(X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| X1 = X2
| ~ c_lessequals(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f2207,plain,
! [X0,X1,X2] :
( ~ class_Orderings_Olinorder(X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f524]) ).
fof(f3223,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1206]) ).
fof(f3233,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1216]) ).
fof(f3235,plain,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(esa)],[f1218]) ).
fof(f3236,plain,
( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| v_x != c_Transcendental_Opi ),
inference(cnf_transformation,[status(esa)],[f1219]) ).
fof(f3237,plain,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(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(cnf_transformation,[status(esa)],[f1220]) ).
fof(f3238,plain,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1221]) ).
fof(f3239,plain,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1222]) ).
fof(f3297,plain,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1280]) ).
fof(f3306,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1289]) ).
fof(f3308,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1291]) ).
fof(f3340,plain,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(esa)],[f1323]) ).
fof(f3366,plain,
( spl0_5
<=> c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3368,plain,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| spl0_5 ),
inference(component_clause,[status(thm)],[f3366]) ).
fof(f3369,plain,
( spl0_6
<=> c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3371,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_6 ),
inference(component_clause,[status(thm)],[f3369]) ).
fof(f3372,plain,
( spl0_7
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3375,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f3235,f3366,f3369,f3372]) ).
fof(f3376,plain,
( spl0_8
<=> c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3378,plain,
( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| spl0_8 ),
inference(component_clause,[status(thm)],[f3376]) ).
fof(f3379,plain,
( spl0_9
<=> v_x = c_Transcendental_Opi ),
introduced(split_symbol_definition) ).
fof(f3382,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f3236,f3376,f3379]) ).
fof(f3383,plain,
( spl0_10
<=> c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3385,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| spl0_10 ),
inference(component_clause,[status(thm)],[f3383]) ).
fof(f3386,plain,
( spl0_11
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f3388,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal)
| spl0_11 ),
inference(component_clause,[status(thm)],[f3386]) ).
fof(f3389,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f3237,f3366,f3383,f3386]) ).
fof(f3391,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f3378,f3239]) ).
fof(f3392,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f3391]) ).
fof(f3393,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f3388,f3223]) ).
fof(f3394,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f3393]) ).
fof(f3441,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f3368,f3238]) ).
fof(f3442,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f3441]) ).
fof(f3443,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f3371,f3233]) ).
fof(f3444,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f3443]) ).
fof(f5302,plain,
( spl0_234
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f5304,plain,
( ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| spl0_234 ),
inference(component_clause,[status(thm)],[f5302]) ).
fof(f12923,plain,
( spl0_1014
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f12925,plain,
( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| spl0_1014 ),
inference(component_clause,[status(thm)],[f12923]) ).
fof(f12931,plain,
( spl0_1016
<=> c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f12932,plain,
( c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| ~ spl0_1016 ),
inference(component_clause,[status(thm)],[f12931]) ).
fof(f12934,plain,
( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| spl0_10 ),
inference(resolution,[status(thm)],[f2207,f3385]) ).
fof(f12935,plain,
( ~ spl0_1014
| spl0_1016
| spl0_10 ),
inference(split_clause,[status(thm)],[f12934,f12923,f12931,f3383]) ).
fof(f12941,plain,
( $false
| spl0_1014 ),
inference(forward_subsumption_resolution,[status(thm)],[f12925,f3306]) ).
fof(f12942,plain,
spl0_1014,
inference(contradiction_clause,[status(thm)],[f12941]) ).
fof(f16400,plain,
( $false
| spl0_234 ),
inference(forward_subsumption_resolution,[status(thm)],[f5304,f3308]) ).
fof(f16401,plain,
spl0_234,
inference(contradiction_clause,[status(thm)],[f16400]) ).
fof(f16842,plain,
( spl0_1382
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f16844,plain,
( ~ class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)
| spl0_1382 ),
inference(component_clause,[status(thm)],[f16842]) ).
fof(f16854,plain,
( spl0_1384
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
introduced(split_symbol_definition) ).
fof(f16856,plain,
( ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| spl0_1384 ),
inference(component_clause,[status(thm)],[f16854]) ).
fof(f16956,plain,
( $false
| spl0_1384 ),
inference(forward_subsumption_resolution,[status(thm)],[f16856,f3340]) ).
fof(f16957,plain,
spl0_1384,
inference(contradiction_clause,[status(thm)],[f16956]) ).
fof(f16958,plain,
( $false
| spl0_1382 ),
inference(forward_subsumption_resolution,[status(thm)],[f16844,f3297]) ).
fof(f16959,plain,
spl0_1382,
inference(contradiction_clause,[status(thm)],[f16958]) ).
fof(f16962,plain,
( ~ class_Orderings_Oorder(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)
| c_Transcendental_Opi = v_x
| ~ spl0_1016 ),
inference(resolution,[status(thm)],[f1520,f12932]) ).
fof(f16963,plain,
( ~ spl0_234
| spl0_7
| spl0_9
| ~ spl0_1016 ),
inference(split_clause,[status(thm)],[f16962,f5302,f3372,f3379,f12931]) ).
fof(f17399,plain,
$false,
inference(sat_refutation,[status(thm)],[f3375,f3382,f3389,f3392,f3394,f3442,f3444,f12935,f12942,f16401,f16957,f16959,f16963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV598-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.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 11:25:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.42 % Drodi V3.5.1
% 71.51/9.46 % Refutation found
% 71.51/9.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 71.51/9.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 73.08/9.66 % Elapsed time: 9.291527 seconds
% 73.08/9.66 % CPU time: 72.514127 seconds
% 73.08/9.66 % Memory used: 955.298 MB
%------------------------------------------------------------------------------