TSTP Solution File: SWV691-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV691-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:43:50 EDT 2023
% Result : Unsatisfiable 228.10s 29.14s
% Output : CNFRefutation 230.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV691-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.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 12:12:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.44 % Drodi V3.5.1
% 228.10/29.14 % Refutation found
% 228.10/29.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 228.10/29.14 % SZS output start CNFRefutation for theBenchmark
% 228.10/29.14 fof(f4,axiom,(
% 228.10/29.14 (![T_a,V_a]: (( ~ class_Ring__and__Field_Odivision__ring(T_a)| ~ class_Ring__and__Field_Odivision__by__zero(T_a)| hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a)) = V_a ) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f128,axiom,(
% 228.10/29.14 (![V_m,V_k,V_n]: (( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)| V_m = V_n ) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f211,axiom,(
% 228.10/29.14 (![V_x,V_a]: (( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)| V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f214,axiom,(
% 228.10/29.14 (![V_x]: (V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f216,axiom,(
% 228.10/29.14 (![V_n]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f249,axiom,(
% 228.10/29.14 (![V_m,V_n]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f666,axiom,(
% 228.10/29.14 (![V_m]: (c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,V_m) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f928,axiom,(
% 228.10/29.14 (![V_P,V_Q,T_b,T_a,T_c,V_R]: (hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f929,axiom,(
% 228.10/29.14 (![V_P,T_b,T_c,T_a,V_Q,V_R]: (hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f930,axiom,(
% 228.10/29.14 (![V_P,V_Q,T_b,T_c,T_a,V_R]: (hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ))),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f1034,axiom,(
% 228.10/29.14 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f1042,axiom,(
% 228.10/29.14 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 228.10/29.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.10/29.14 fof(f1073,plain,(
% 228.10/29.14 ![T_a]: ((~class_Ring__and__Field_Odivision__ring(T_a)|~class_Ring__and__Field_Odivision__by__zero(T_a))|(![V_a]: hAPP(c_HOL_Oinverse__class_Oinverse(T_a),hAPP(c_HOL_Oinverse__class_Oinverse(T_a),V_a))=V_a))),
% 228.10/29.14 inference(miniscoping,[status(esa)],[f4])).
% 228.10/29.14 fof(f1074,plain,(
% 228.10/29.14 ![X0,X1]: (~class_Ring__and__Field_Odivision__ring(X0)|~class_Ring__and__Field_Odivision__by__zero(X0)|hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))=X1)),
% 228.10/29.14 inference(cnf_transformation,[status(esa)],[f1073])).
% 228.10/29.14 fof(f1280,plain,(
% 228.10/29.14 ![V_m,V_n]: ((![V_k]: ~hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k))|V_m=V_n)),
% 228.10/29.14 inference(miniscoping,[status(esa)],[f128])).
% 228.10/29.14 fof(f1281,plain,(
% 228.10/29.14 ![X0,X1,X2]: (~hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)|X0=X2)),
% 228.10/29.14 inference(cnf_transformation,[status(esa)],[f1280])).
% 228.10/29.14 fof(f1403,plain,(
% 228.10/29.14 ![V_a]: ((![V_x]: ~V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a))|V_a=c_HOL_Ozero__class_Ozero(tc_nat))),
% 228.10/29.14 inference(miniscoping,[status(esa)],[f211])).
% 228.10/29.14 fof(f1404,plain,(
% 228.10/29.14 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 228.10/29.14 inference(cnf_transformation,[status(esa)],[f1403])).
% 228.10/29.14 fof(f1408,plain,(
% 228.10/29.14 ![X0]: (X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 228.10/29.14 inference(cnf_transformation,[status(esa)],[f214])).
% 228.10/29.14 fof(f1410,plain,(
% 228.10/29.14 ![X0]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0)=X0)),
% 228.10/29.14 inference(cnf_transformation,[status(esa)],[f216])).
% 228.10/29.16 fof(f1462,plain,(
% 228.10/29.16 ![X0,X1]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f249])).
% 228.10/29.16 fof(f2130,plain,(
% 228.10/29.16 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=hAPP(c_Suc,X0))),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f666])).
% 228.10/29.16 fof(f2591,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBB(X0,X1,X2,X3,X4),X5)=hAPP(X0,hAPP(X1,X5)))),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f928])).
% 228.10/29.16 fof(f2592,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(c_COMBC(X0,X1,X2,X3),X4),X5)=hAPP(hAPP(X0,X5),X4))),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f929])).
% 228.10/29.16 fof(f2593,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBS(X0,X1,X2,X3,X4),X5)=hAPP(hAPP(X0,X5),hAPP(X1,X5)))),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f930])).
% 228.10/29.16 fof(f2744,plain,(
% 228.10/29.16 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f1034])).
% 228.10/29.16 fof(f2752,plain,(
% 228.10/29.16 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)),
% 228.10/29.16 inference(cnf_transformation,[status(esa)],[f1042])).
% 228.10/29.16 fof(f3052,plain,(
% 228.10/29.16 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 228.10/29.16 inference(paramodulation,[status(thm)],[f1462,f1404])).
% 228.10/29.16 fof(f3104,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (hAPP(c_COMBS(c_COMBB(X0,X1,X2,X3,X4),X5,X6,X7,X8),X9)=hAPP(hAPP(X0,hAPP(X1,X9)),hAPP(X5,X9)))),
% 228.10/29.16 inference(paramodulation,[status(thm)],[f2591,f2593])).
% 228.10/29.16 fof(f3377,plain,(
% 228.10/29.16 spl0_22 <=> class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)),
% 228.10/29.16 introduced(split_symbol_definition)).
% 228.10/29.16 fof(f3379,plain,(
% 228.10/29.16 ~class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)|spl0_22),
% 228.10/29.16 inference(component_clause,[status(thm)],[f3377])).
% 228.10/29.16 fof(f3380,plain,(
% 228.10/29.16 spl0_23 <=> hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X0))=X0),
% 228.10/29.16 introduced(split_symbol_definition)).
% 228.10/29.16 fof(f3381,plain,(
% 228.10/29.16 ![X0]: (hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X0))=X0|~spl0_23)),
% 228.10/29.16 inference(component_clause,[status(thm)],[f3380])).
% 228.10/29.16 fof(f3383,plain,(
% 228.10/29.16 ![X0]: (~class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)|hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X0))=X0)),
% 228.10/29.16 inference(resolution,[status(thm)],[f2744,f1074])).
% 228.10/29.16 fof(f3384,plain,(
% 228.10/29.16 ~spl0_22|spl0_23),
% 228.10/29.16 inference(split_clause,[status(thm)],[f3383,f3377,f3380])).
% 228.10/29.16 fof(f3645,plain,(
% 228.10/29.16 $false|spl0_22),
% 228.10/29.16 inference(forward_subsumption_resolution,[status(thm)],[f2752,f3379])).
% 228.10/29.16 fof(f3646,plain,(
% 228.10/29.16 spl0_22),
% 228.10/29.16 inference(contradiction_clause,[status(thm)],[f3645])).
% 228.10/29.16 fof(f3791,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4]: (hAPP(c_COMBS(X0,c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X1,X2,X3),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X4))=hAPP(hAPP(X0,hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X4)),X4)|~spl0_23)),
% 228.10/29.16 inference(paramodulation,[status(thm)],[f3381,f2593])).
% 228.10/29.16 fof(f3798,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hAPP(c_COMBS(c_COMBC(X0,X1,X2,X3),c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X4,X5,X6),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X7))=hAPP(hAPP(X0,X7),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X7))|~spl0_23)),
% 228.10/29.16 inference(paramodulation,[status(thm)],[f2592,f3791])).
% 228.10/29.16 fof(f4224,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5,X6]: (hAPP(c_COMBS(c_COMBC(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X0,X1,X2),c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X3,X4,X5),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X6)))=hAPP(X6,hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X6)))|~spl0_23)),
% 228.10/29.16 inference(paramodulation,[status(thm)],[f3381,f3798])).
% 228.10/29.16 fof(f4225,plain,(
% 228.10/29.16 ![X0,X1,X2,X3,X4,X5,X6]: (hAPP(c_COMBS(c_COMBC(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X0,X1,X2),c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X3,X4,X5),X6)=hAPP(X6,hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),hAPP(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X6)))|~spl0_23)),
% 230.45/29.38 inference(forward_demodulation,[status(thm)],[f3381,f4224])).
% 230.45/29.38 fof(f4226,plain,(
% 230.45/29.38 ![X0,X1,X2,X3,X4,X5,X6]: (hAPP(c_COMBS(c_COMBC(c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X0,X1,X2),c_HOL_Oinverse__class_Oinverse(tc_Complex_Ocomplex),X3,X4,X5),X6)=hAPP(X6,X6)|~spl0_23)),
% 230.45/29.38 inference(forward_demodulation,[status(thm)],[f3381,f4225])).
% 230.45/29.38 fof(f5618,plain,(
% 230.45/29.38 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,X1)),X0))),
% 230.45/29.38 inference(resolution,[status(thm)],[f2130,f3052])).
% 230.45/29.38 fof(f19122,plain,(
% 230.45/29.38 ![X0]: (~c_HOL_Ozero__class_Ozero(tc_nat)=hAPP(c_Suc,X0))),
% 230.45/29.38 inference(paramodulation,[status(thm)],[f1408,f5618])).
% 230.45/29.38 fof(f43360,plain,(
% 230.45/29.38 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)|c_HOL_Ozero__class_Ozero(tc_nat)=X1)),
% 230.45/29.38 inference(paramodulation,[status(thm)],[f1410,f1281])).
% 230.45/29.38 fof(f50652,plain,(
% 230.45/29.38 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,X1)),X0))),
% 230.45/29.38 inference(resolution,[status(thm)],[f43360,f19122])).
% 230.45/29.38 fof(f96616,plain,(
% 230.45/29.38 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~hAPP(X0,X1)=hAPP(c_COMBS(c_COMBB(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc,X2,X3,X4),X0,X5,X6,X7),X1))),
% 230.45/29.38 inference(paramodulation,[status(thm)],[f3104,f50652])).
% 230.45/29.38 fof(f99420,plain,(
% 230.45/29.38 $false|~spl0_23),
% 230.45/29.38 inference(resolution,[status(thm)],[f96616,f4226])).
% 230.45/29.38 fof(f99421,plain,(
% 230.45/29.38 ~spl0_23),
% 230.45/29.38 inference(contradiction_clause,[status(thm)],[f99420])).
% 230.45/29.38 fof(f99422,plain,(
% 230.45/29.38 $false),
% 230.45/29.38 inference(sat_refutation,[status(thm)],[f3384,f3646,f99421])).
% 230.45/29.38 % SZS output end CNFRefutation for theBenchmark.p
% 235.32/30.52 % Elapsed time: 29.952627 seconds
% 235.32/30.52 % CPU time: 201.647762 seconds
% 235.32/30.52 % Memory used: 1.797 GB
%------------------------------------------------------------------------------