TSTP Solution File: SWW216+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:44:30 EDT 2023
% Result : Theorem 4.42s 1.07s
% Output : CNFRefutation 4.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 16 unt; 0 def)
% Number of atoms : 66 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 26 ~; 24 |; 2 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [V_w,V_z] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_z),V_w) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,V_w),V_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [V_b_2,V_a_2,V_ca_2,T_a] :
( class_Fields_Olinordered__field(T_a)
=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
=> ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2))
<=> c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Otimes__class_Otimes(T_a,V_a_2),V_ca_2),V_b_2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1134,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1250,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1251,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(negated_conjecture,[status(cth)],[f1250]) ).
fof(f1255,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f1256,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f1264,plain,
! [X0,X1] : hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0),X1) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1),X0),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f1373,plain,
! [V_b_2,V_a_2,V_ca_2,T_a] :
( ~ class_Fields_Olinordered__field(T_a)
| ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
| ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2))
<=> c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Otimes__class_Otimes(T_a,V_a_2),V_ca_2),V_b_2) ) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f1374,plain,
! [V_b_2,V_a_2,V_ca_2,T_a] :
( ~ class_Fields_Olinordered__field(T_a)
| ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
| ( ( ~ c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2))
| c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Otimes__class_Otimes(T_a,V_a_2),V_ca_2),V_b_2) )
& ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2))
| ~ c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Otimes__class_Otimes(T_a,V_a_2),V_ca_2),V_b_2) ) ) ),
inference(NNF_transformation,[status(esa)],[f1373]) ).
fof(f1375,plain,
! [T_a] :
( ~ class_Fields_Olinordered__field(T_a)
| ! [V_ca_2] :
( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
| ( ! [V_b_2,V_a_2] :
( ~ c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2))
| c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Otimes__class_Otimes(T_a,V_a_2),V_ca_2),V_b_2) )
& ! [V_b_2,V_a_2] :
( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_b_2,V_ca_2))
| ~ c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Otimes__class_Otimes(T_a,V_a_2),V_ca_2),V_b_2) ) ) ) ),
inference(miniscoping,[status(esa)],[f1374]) ).
fof(f1376,plain,
! [X0,X1,X2,X3] :
( ~ class_Fields_Olinordered__field(X0)
| ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
| ~ c_Orderings_Oord__class_Oless(X0,X2,c_Rings_Oinverse__class_Odivide(X0,X3,X1))
| c_Orderings_Oord__class_Oless(X0,hAPP(c_Groups_Otimes__class_Otimes(X0,X2),X1),X3) ),
inference(cnf_transformation,[status(esa)],[f1375]) ).
fof(f4652,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[status(esa)],[f1134]) ).
fof(f4768,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[status(esa)],[f1251]) ).
fof(f4909,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),v_da____),v_e),
inference(paramodulation,[status(thm)],[f1264,f4768]) ).
fof(f10905,plain,
( spl0_75
<=> class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f10907,plain,
( ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
| spl0_75 ),
inference(component_clause,[status(thm)],[f10905]) ).
fof(f11088,plain,
( $false
| spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f10907,f4652]) ).
fof(f11089,plain,
spl0_75,
inference(contradiction_clause,[status(thm)],[f11088]) ).
fof(f16421,plain,
( spl0_913
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
introduced(split_symbol_definition) ).
fof(f16423,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| spl0_913 ),
inference(component_clause,[status(thm)],[f16421]) ).
fof(f16828,plain,
( $false
| spl0_913 ),
inference(forward_subsumption_resolution,[status(thm)],[f16423,f1255]) ).
fof(f16829,plain,
spl0_913,
inference(contradiction_clause,[status(thm)],[f16828]) ).
fof(f18432,plain,
( spl0_1208
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e) ),
introduced(split_symbol_definition) ).
fof(f18433,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e)
| ~ spl0_1208 ),
inference(component_clause,[status(thm)],[f18432]) ).
fof(f18435,plain,
( ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e) ),
inference(resolution,[status(thm)],[f1376,f1256]) ).
fof(f18436,plain,
( ~ spl0_75
| ~ spl0_913
| spl0_1208 ),
inference(split_clause,[status(thm)],[f18435,f10905,f16421,f18432]) ).
fof(f18444,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_m____),v_da____),v_e)
| ~ spl0_1208 ),
inference(forward_demodulation,[status(thm)],[f1264,f18433]) ).
fof(f18445,plain,
( $false
| ~ spl0_1208 ),
inference(forward_subsumption_resolution,[status(thm)],[f18444,f4909]) ).
fof(f18446,plain,
~ spl0_1208,
inference(contradiction_clause,[status(thm)],[f18445]) ).
fof(f18447,plain,
$false,
inference(sat_refutation,[status(thm)],[f11089,f16829,f18436,f18446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:00:46 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.14/0.38 % Drodi V3.5.1
% 4.42/1.07 % Refutation found
% 4.42/1.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.42/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.91/1.12 % Elapsed time: 0.802044 seconds
% 4.91/1.12 % CPU time: 5.118758 seconds
% 4.91/1.12 % Memory used: 196.314 MB
%------------------------------------------------------------------------------