TSTP Solution File: SWV674-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV674-1 : 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 : Tue Apr 30 20:49:08 EDT 2024
% Result : Unsatisfiable 195.13s 24.93s
% Output : CNFRefutation 196.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 18 unt; 0 def)
% Number of atoms : 79 ( 38 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 29 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,axiom,
! [T_a,V_x] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
| c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f366,axiom,
! [T_a,V_a] :
( ~ class_Ring__and__Field_Ofield(T_a)
| c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f419,axiom,
! [T_a,V_n] :
( ~ class_OrderedGroup_Omonoid__mult(T_a)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f528,axiom,
! [T_a,V_a,V_b,V_n] :
( ~ class_Ring__and__Field_Ofield(T_a)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
| V_b = c_HOL_Ozero__class_Ozero(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f571,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f580,axiom,
! [V_m] : c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f613,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f615,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f619,axiom,
! [T] :
( ~ class_Ring__and__Field_Ofield(T)
| class_Ring__and__Field_Ocomm__semiring__1(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f627,axiom,
! [T] :
( ~ class_Ring__and__Field_Ofield(T)
| class_OrderedGroup_Omonoid__mult(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1253,plain,
! [T_a] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
| ! [V_x] : c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ),
inference(miniscoping,[status(esa)],[f346]) ).
fof(f1254,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
inference(cnf_transformation,[status(esa)],[f1253]) ).
fof(f1277,plain,
! [T_a] :
( ~ class_Ring__and__Field_Ofield(T_a)
| ! [V_a] : c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ),
inference(miniscoping,[status(esa)],[f366]) ).
fof(f1278,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) ),
inference(cnf_transformation,[status(esa)],[f1277]) ).
fof(f1363,plain,
! [T_a] :
( ~ class_OrderedGroup_Omonoid__mult(T_a)
| ! [V_n] : c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ),
inference(miniscoping,[status(esa)],[f419]) ).
fof(f1364,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
inference(cnf_transformation,[status(esa)],[f1363]) ).
fof(f1523,plain,
! [T_a,V_b] :
( ~ class_Ring__and__Field_Ofield(T_a)
| ! [V_a,V_n] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
| V_b = c_HOL_Ozero__class_Ozero(T_a) ),
inference(miniscoping,[status(esa)],[f528]) ).
fof(f1524,plain,
! [X0,X1,X2,X3] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0)
| X2 = c_HOL_Ozero__class_Ozero(X0) ),
inference(cnf_transformation,[status(esa)],[f1523]) ).
fof(f1588,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
inference(cnf_transformation,[status(esa)],[f571]) ).
fof(f1604,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
inference(cnf_transformation,[status(esa)],[f580]) ).
fof(f1661,plain,
class_Ring__and__Field_Ofield(t_a),
inference(cnf_transformation,[status(esa)],[f613]) ).
fof(f1663,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(cnf_transformation,[status(esa)],[f615]) ).
fof(f1667,plain,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[status(esa)],[f619]) ).
fof(f1675,plain,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Omonoid__mult(X0) ),
inference(cnf_transformation,[status(esa)],[f627]) ).
fof(f1734,plain,
( spl0_0
<=> class_Ring__and__Field_Ofield(t_a) ),
introduced(split_symbol_definition) ).
fof(f1736,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| spl0_0 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1737,plain,
( spl0_1
<=> v_a = c_HOL_Ozero__class_Ozero(t_a) ),
introduced(split_symbol_definition) ).
fof(f1739,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| spl0_1 ),
inference(component_clause,[status(thm)],[f1737]) ).
fof(f1740,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1588,f1734,f1737]) ).
fof(f1741,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(backward_demodulation,[status(thm)],[f1604,f1663]) ).
fof(f1748,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1736,f1661]) ).
fof(f1749,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1748]) ).
fof(f1756,plain,
! [X0] : c_HOL_Oinverse__class_Oinverse(X0,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),
inference(resolution,[status(thm)],[f1278,f1661]) ).
fof(f2966,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference(resolution,[status(thm)],[f1667,f1661]) ).
fof(f5281,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference(resolution,[status(thm)],[f1675,f1661]) ).
fof(f11117,plain,
! [X0] : c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(t_a),X0,t_a) = c_HOL_Oone__class_Oone(t_a),
inference(resolution,[status(thm)],[f1364,f5281]) ).
fof(f13983,plain,
! [X0] : c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oone__class_Oone(t_a),
inference(resolution,[status(thm)],[f1254,f2966]) ).
fof(f13986,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(backward_demodulation,[status(thm)],[f13983,f1741]) ).
fof(f13987,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(forward_demodulation,[status(thm)],[f1756,f13986]) ).
fof(f44660,plain,
! [X0,X1,X2] :
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,t_a),X2,t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X1,X2,t_a),t_a)
| X1 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(resolution,[status(thm)],[f1524,f1661]) ).
fof(f46885,plain,
! [X0,X1] :
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),X1,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(X0,X1,t_a),t_a)
| X0 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(paramodulation,[status(thm)],[f11117,f44660]) ).
fof(f46886,plain,
! [X0,X1] :
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),X1,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(X0,X1,t_a),t_a)
| X0 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_demodulation,[status(thm)],[f1756,f46885]) ).
fof(f46887,plain,
! [X0,X1] :
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),X1,t_a) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,t_a),t_a)
| X0 = c_HOL_Ozero__class_Ozero(t_a) ),
inference(forward_demodulation,[status(thm)],[f1756,f46886]) ).
fof(f93390,plain,
v_a = c_HOL_Ozero__class_Ozero(t_a),
inference(resolution,[status(thm)],[f46887,f13987]) ).
fof(f93391,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f93390,f1739]) ).
fof(f93392,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f93391]) ).
fof(f93393,plain,
$false,
inference(sat_refutation,[status(thm)],[f1740,f1749,f93392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV674-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 00:46:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.40 % Drodi V3.6.0
% 195.13/24.93 % Refutation found
% 195.13/24.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 195.13/24.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 196.71/25.30 % Elapsed time: 24.933466 seconds
% 196.71/25.30 % CPU time: 196.455005 seconds
% 196.71/25.30 % Total memory used: 877.004 MB
% 196.71/25.30 % Net memory used: 853.749 MB
%------------------------------------------------------------------------------