TSTP Solution File: SWW216+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n026.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 20:49:51 EDT 2024
% Result : Theorem 3.74s 0.85s
% Output : CNFRefutation 4.37s
% 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(f5019,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(f11005,plain,
( spl0_51
<=> class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
introduced(split_symbol_definition) ).
fof(f11007,plain,
( ~ class_Fields_Olinordered__field(tc_RealDef_Oreal)
| spl0_51 ),
inference(component_clause,[status(thm)],[f11005]) ).
fof(f11363,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f11007,f4652]) ).
fof(f11364,plain,
spl0_51,
inference(contradiction_clause,[status(thm)],[f11363]) ).
fof(f14931,plain,
( spl0_795
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
introduced(split_symbol_definition) ).
fof(f14933,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| spl0_795 ),
inference(component_clause,[status(thm)],[f14931]) ).
fof(f15308,plain,
( $false
| spl0_795 ),
inference(forward_subsumption_resolution,[status(thm)],[f14933,f1255]) ).
fof(f15309,plain,
spl0_795,
inference(contradiction_clause,[status(thm)],[f15308]) ).
fof(f16199,plain,
( spl0_962
<=> 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(f16200,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_962 ),
inference(component_clause,[status(thm)],[f16199]) ).
fof(f16202,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(f16203,plain,
( ~ spl0_51
| ~ spl0_795
| spl0_962 ),
inference(split_clause,[status(thm)],[f16202,f11005,f14931,f16199]) ).
fof(f16206,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_962 ),
inference(forward_demodulation,[status(thm)],[f1264,f16200]) ).
fof(f16207,plain,
( $false
| ~ spl0_962 ),
inference(forward_subsumption_resolution,[status(thm)],[f16206,f5019]) ).
fof(f16208,plain,
~ spl0_962,
inference(contradiction_clause,[status(thm)],[f16207]) ).
fof(f16209,plain,
$false,
inference(sat_refutation,[status(thm)],[f11364,f15309,f16203,f16208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n026.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 23:36:04 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.10/0.31 % Drodi V3.6.0
% 3.74/0.85 % Refutation found
% 3.74/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.74/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.37/0.88 % Elapsed time: 0.616722 seconds
% 4.37/0.88 % CPU time: 4.473130 seconds
% 4.37/0.88 % Total memory used: 225.622 MB
% 4.37/0.88 % Net memory used: 224.036 MB
%------------------------------------------------------------------------------