TSTP Solution File: SWV683-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV683-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:49:09 EDT 2024
% Result : Unsatisfiable 15.81s 2.43s
% Output : CNFRefutation 15.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV683-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:35:51 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.42 % Drodi V3.6.0
% 15.81/2.43 % Refutation found
% 15.81/2.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.81/2.43 % SZS output start CNFRefutation for theBenchmark
% 15.81/2.43 fof(f106,axiom,(
% 15.81/2.43 (![T_a,V_a]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f133,axiom,(
% 15.81/2.43 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f745,axiom,(
% 15.81/2.43 (![V_n]: (V_n != hAPP(c_Suc,V_n) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f805,axiom,(
% 15.81/2.43 (![T_a,V_b]: (( ~ class_Ring__and__Field_Ofield(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| c_HOL_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)) ) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f873,axiom,(
% 15.81/2.43 (![T_b,T_a,T_c,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f874,axiom,(
% 15.81/2.43 (![T_b,T_c,T_a,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f875,axiom,(
% 15.81/2.43 (![T_b,T_c,T_a,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ))),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f930,axiom,(
% 15.81/2.43 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f940,axiom,(
% 15.81/2.43 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f954,axiom,(
% 15.81/2.43 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 15.81/2.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.81/2.43 fof(f1129,plain,(
% 15.81/2.43 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_a]: hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a))),
% 15.81/2.43 inference(miniscoping,[status(esa)],[f106])).
% 15.81/2.43 fof(f1130,plain,(
% 15.81/2.43 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0))=X1)),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f1129])).
% 15.81/2.43 fof(f1179,plain,(
% 15.81/2.43 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_a,V_b]: hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a)))),
% 15.81/2.43 inference(miniscoping,[status(esa)],[f133])).
% 15.81/2.43 fof(f1180,plain,(
% 15.81/2.43 ![X0,X1,X2]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1))),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f1179])).
% 15.81/2.43 fof(f2211,plain,(
% 15.81/2.43 ![X0]: (~X0=hAPP(c_Suc,X0))),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f745])).
% 15.81/2.43 fof(f2298,plain,(
% 15.81/2.43 ![T_a]: ((~class_Ring__and__Field_Ofield(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_b]: c_HOL_Ozero__class_Ozero(T_a)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))))),
% 15.81/2.43 inference(miniscoping,[status(esa)],[f805])).
% 15.81/2.43 fof(f2299,plain,(
% 15.81/2.43 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|c_HOL_Ozero__class_Ozero(X0)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(X0),X1),c_HOL_Ozero__class_Ozero(X0)))),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f2298])).
% 15.81/2.43 fof(f2426,plain,(
% 15.81/2.43 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f873])).
% 15.81/2.43 fof(f2427,plain,(
% 15.81/2.43 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBC(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),X4))),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f874])).
% 15.81/2.43 fof(f2428,plain,(
% 15.81/2.43 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 15.81/2.43 inference(cnf_transformation,[status(esa)],[f875])).
% 15.81/2.44 fof(f2493,plain,(
% 15.81/2.44 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 15.81/2.44 inference(cnf_transformation,[status(esa)],[f930])).
% 15.81/2.44 fof(f2503,plain,(
% 15.81/2.44 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex)),
% 15.81/2.44 inference(cnf_transformation,[status(esa)],[f940])).
% 15.81/2.44 fof(f2517,plain,(
% 15.81/2.44 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)),
% 15.81/2.44 inference(cnf_transformation,[status(esa)],[f954])).
% 15.81/2.44 fof(f2672,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8)=hAPP(X6,hAPP(X8,hAPP(X7,X8))))),
% 15.81/2.44 inference(paramodulation,[status(thm)],[f2426,f2428])).
% 15.81/2.44 fof(f3242,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~hAPP(X0,hAPP(X1,X0))=hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Suc)),X1),X0))),
% 15.81/2.44 inference(paramodulation,[status(thm)],[f2672,f2211])).
% 15.81/2.44 fof(f3345,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4]: (~hAPP(X0,hAPP(X1,X0))=hAPP(hAPP(hAPP(c_COMBB(X2,X3,X4),c_Suc),X0),hAPP(X1,X0)))),
% 15.81/2.44 inference(paramodulation,[status(thm)],[f2428,f3242])).
% 15.81/2.44 fof(f3362,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~hAPP(X0,hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X0))=hAPP(hAPP(hAPP(c_COMBB(X6,X7,X8),c_Suc),X0),hAPP(X4,hAPP(X5,X0))))),
% 15.81/2.44 inference(paramodulation,[status(thm)],[f2426,f3345])).
% 15.81/2.44 fof(f3363,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4,X5]: (~hAPP(X0,hAPP(X1,hAPP(X2,X0)))=hAPP(hAPP(hAPP(c_COMBB(X3,X4,X5),c_Suc),X0),hAPP(X1,hAPP(X2,X0))))),
% 15.81/2.44 inference(forward_demodulation,[status(thm)],[f2426,f3362])).
% 15.81/2.44 fof(f3520,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~hAPP(X0,hAPP(X1,hAPP(hAPP(hAPP(c_COMBC(X2,X3,X4),X5),X6),X0)))=hAPP(hAPP(hAPP(c_COMBB(X7,X8,X9),c_Suc),X0),hAPP(X1,hAPP(hAPP(X5,X0),X6))))),
% 15.81/2.44 inference(paramodulation,[status(thm)],[f2427,f3363])).
% 15.81/2.44 fof(f3521,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4,X5,X6]: (~hAPP(X0,hAPP(X1,hAPP(hAPP(X2,X0),X3)))=hAPP(hAPP(hAPP(c_COMBB(X4,X5,X6),c_Suc),X0),hAPP(X1,hAPP(hAPP(X2,X0),X3))))),
% 15.81/2.44 inference(forward_demodulation,[status(thm)],[f2427,f3520])).
% 15.81/2.44 fof(f3960,plain,(
% 15.81/2.44 ![X0]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=X0)),
% 15.81/2.44 inference(resolution,[status(thm)],[f1130,f2503])).
% 15.81/2.44 fof(f3965,plain,(
% 15.81/2.44 spl0_22 <=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 15.81/2.44 introduced(split_symbol_definition)).
% 15.81/2.44 fof(f3967,plain,(
% 15.81/2.44 ~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|spl0_22),
% 15.81/2.44 inference(component_clause,[status(thm)],[f3965])).
% 15.81/2.44 fof(f3968,plain,(
% 15.81/2.44 spl0_23 <=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),X0),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))),
% 15.81/2.44 introduced(split_symbol_definition)).
% 15.81/2.44 fof(f3969,plain,(
% 15.81/2.44 ![X0]: (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),X0),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))|~spl0_23)),
% 15.81/2.44 inference(component_clause,[status(thm)],[f3968])).
% 15.81/2.44 fof(f3971,plain,(
% 15.81/2.44 ![X0]: (~class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)|c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),X0),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)))),
% 15.81/2.44 inference(resolution,[status(thm)],[f2299,f2517])).
% 15.81/2.44 fof(f3972,plain,(
% 15.81/2.44 ~spl0_22|spl0_23),
% 15.81/2.44 inference(split_clause,[status(thm)],[f3971,f3965,f3968])).
% 15.81/2.44 fof(f3973,plain,(
% 15.81/2.44 $false|spl0_22),
% 15.81/2.44 inference(forward_subsumption_resolution,[status(thm)],[f3967,f2493])).
% 15.81/2.44 fof(f3974,plain,(
% 15.81/2.44 spl0_22),
% 15.81/2.44 inference(contradiction_clause,[status(thm)],[f3973])).
% 15.81/2.44 fof(f5590,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4]: (~hAPP(X0,hAPP(X1,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),X0),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))))=hAPP(hAPP(hAPP(c_COMBB(X2,X3,X4),c_Suc),X0),hAPP(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)))|~spl0_23)),
% 15.81/2.44 inference(paramodulation,[status(thm)],[f3969,f3521])).
% 15.81/2.44 fof(f5591,plain,(
% 15.81/2.44 ![X0,X1,X2,X3,X4]: (~hAPP(X0,hAPP(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)))=hAPP(hAPP(hAPP(c_COMBB(X2,X3,X4),c_Suc),X0),hAPP(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)))|~spl0_23)),
% 15.81/2.45 inference(forward_demodulation,[status(thm)],[f3969,f5590])).
% 15.81/2.45 fof(f7313,plain,(
% 15.81/2.45 ![X0,X1]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X0),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X0))),
% 15.81/2.45 inference(resolution,[status(thm)],[f1180,f2503])).
% 15.81/2.45 fof(f7747,plain,(
% 15.81/2.45 ![X0,X1,X2,X3,X4]: (~hAPP(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)))=hAPP(hAPP(hAPP(c_COMBB(X2,X3,X4),c_Suc),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),X1))|~spl0_23)),
% 15.81/2.45 inference(paramodulation,[status(thm)],[f7313,f5591])).
% 15.81/2.45 fof(f7748,plain,(
% 15.81/2.45 ![X0,X1,X2,X3,X4]: (~hAPP(X0,X1)=hAPP(hAPP(hAPP(c_COMBB(X2,X3,X4),c_Suc),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),X1))|~spl0_23)),
% 15.81/2.45 inference(forward_demodulation,[status(thm)],[f3960,f7747])).
% 15.81/2.45 fof(f7814,plain,(
% 15.81/2.45 $false|~spl0_23),
% 15.81/2.45 inference(resolution,[status(thm)],[f7748,f2428])).
% 15.81/2.45 fof(f7815,plain,(
% 15.81/2.45 ~spl0_23),
% 15.81/2.45 inference(contradiction_clause,[status(thm)],[f7814])).
% 15.81/2.45 fof(f7816,plain,(
% 15.81/2.45 $false),
% 15.81/2.45 inference(sat_refutation,[status(thm)],[f3972,f3974,f7815])).
% 15.81/2.45 % SZS output end CNFRefutation for theBenchmark.p
% 16.55/2.53 % Elapsed time: 2.180115 seconds
% 16.55/2.53 % CPU time: 16.439863 seconds
% 16.55/2.53 % Total memory used: 457.148 MB
% 16.55/2.53 % Net memory used: 450.204 MB
%------------------------------------------------------------------------------