TSTP Solution File: SWV646-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV646-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:43:46 EDT 2023
% Result : Unsatisfiable 93.82s 12.13s
% Output : CNFRefutation 95.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWV646-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n016.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 12:04:59 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 93.82/12.13 % Refutation found
% 93.82/12.13 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 93.82/12.13 % SZS output start CNFRefutation for theBenchmark
% 93.82/12.13 fof(f77,axiom,(
% 93.82/12.13 (![V_x]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_x),tc_nat) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f181,axiom,(
% 93.82/12.13 (![V_x]: (c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f202,axiom,(
% 93.82/12.13 (![V_n]: (V_n != hAPP(c_Suc,V_n) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f581,axiom,(
% 93.82/12.13 (![V_n]: (~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f591,axiom,(
% 93.82/12.13 (![V_n]: (( V_n = hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)))| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f609,axiom,(
% 93.82/12.13 ~ c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OMin,tc_Int_Oint) ),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f684,axiom,(
% 93.82/12.13 (![V_nat_H]: (hAPP(c_Suc,V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f687,axiom,(
% 93.82/12.13 (![V_n]: (~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f692,axiom,(
% 93.82/12.13 (![V_m]: (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f782,axiom,(
% 93.82/12.13 (![V_v]: (( c_HOL_Oord__class_Oless(c_Int_OPls,V_v,tc_Int_Oint)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) ) ))),
% 93.82/12.13 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.13 fof(f845,axiom,(
% 93.82/12.13 (![V_k,V_m,V_n]: (( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)| ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f846,axiom,(
% 93.82/12.14 (![V_m,V_n,V_k]: (( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f847,axiom,(
% 93.82/12.14 (![V_i,V_k,V_j]: (( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)| ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f849,axiom,(
% 93.82/12.14 (![V_j,V_i]: (~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f874,axiom,(
% 93.82/12.14 (![V_i,V_k,V_j]: (( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f1227,axiom,(
% 93.82/12.14 c_HOL_Oone__class_Oone(tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f1233,axiom,(
% 93.82/12.14 (![V_n]: (hAPP(c_Suc,V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f1234,axiom,(
% 93.82/12.14 (![V_n]: (hAPP(c_Suc,V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ))),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f1238,axiom,(
% 93.82/12.14 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_m,tc_nat) ),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.14 fof(f1272,axiom,(
% 93.82/12.14 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat) = hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 93.82/12.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1393,axiom,(
% 93.82/12.15 (![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) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1398,axiom,(
% 93.82/12.15 (![V_m,V_k,V_n]: (( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)| V_k = c_HOL_Ozero__class_Ozero(tc_nat)| V_m = V_n ) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1472,axiom,(
% 93.82/12.15 (![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) ) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1483,axiom,(
% 93.82/12.15 (![V_n]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) = V_n ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1484,axiom,(
% 93.82/12.15 (![V_n]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) = V_n ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1511,axiom,(
% 93.82/12.15 (![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)) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1512,axiom,(
% 93.82/12.15 (![V_P,V_Q,T_b,T_c,T_a,V_R]: (hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1513,axiom,(
% 93.82/12.15 (![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)) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1537,axiom,(
% 93.82/12.15 (![V_x]: (V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ))),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1620,axiom,(
% 93.82/12.15 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 93.82/12.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.82/12.15 fof(f1799,plain,(
% 93.82/12.15 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f77])).
% 93.82/12.15 fof(f1944,plain,(
% 93.82/12.15 ![X0]: (c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f181])).
% 93.82/12.15 fof(f1976,plain,(
% 93.82/12.15 ![X0]: (~X0=hAPP(c_Suc,X0))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f202])).
% 93.82/12.15 fof(f2589,plain,(
% 93.82/12.15 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f581])).
% 93.82/12.15 fof(f2602,plain,(
% 93.82/12.15 ![X0]: (X0=hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f591])).
% 93.82/12.15 fof(f2628,plain,(
% 93.82/12.15 ~c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OMin,tc_Int_Oint)),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f609])).
% 93.82/12.15 fof(f2745,plain,(
% 93.82/12.15 ![X0]: (~hAPP(c_Suc,X0)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f684])).
% 93.82/12.15 fof(f2748,plain,(
% 93.82/12.15 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f687])).
% 93.82/12.15 fof(f2754,plain,(
% 93.82/12.15 ![X0]: (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat))=X0)),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f692])).
% 93.82/12.15 fof(f2887,plain,(
% 93.82/12.15 ![X0]: (c_HOL_Oord__class_Oless(c_Int_OPls,X0,tc_Int_Oint)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat))),
% 93.82/12.15 inference(cnf_transformation,[status(esa)],[f782])).
% 93.82/12.15 fof(f3005,plain,(
% 93.82/12.15 ![V_m,V_n]: ((![V_k]: c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat))|~c_HOL_Oord__class_Oless(V_m,V_n,tc_nat))),
% 93.82/12.15 inference(miniscoping,[status(esa)],[f845])).
% 93.82/12.15 fof(f3006,plain,(
% 93.82/12.15 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f3005])).
% 93.82/12.16 fof(f3007,plain,(
% 93.82/12.16 ![V_m,V_n]: (c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|(![V_k]: ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)))),
% 93.82/12.16 inference(miniscoping,[status(esa)],[f846])).
% 93.82/12.16 fof(f3008,plain,(
% 93.82/12.16 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f3007])).
% 93.82/12.16 fof(f3009,plain,(
% 93.82/12.16 ![V_i,V_j]: ((![V_k]: c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat))|~c_HOL_Oord__class_Oless(V_i,V_j,tc_nat))),
% 93.82/12.16 inference(miniscoping,[status(esa)],[f847])).
% 93.82/12.16 fof(f3010,plain,(
% 93.82/12.16 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f3009])).
% 93.82/12.16 fof(f3012,plain,(
% 93.82/12.16 ![X0,X1]: (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f849])).
% 93.82/12.16 fof(f3050,plain,(
% 93.82/12.16 ![V_i,V_k]: (c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)|(![V_j]: ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat)))),
% 93.82/12.16 inference(miniscoping,[status(esa)],[f874])).
% 93.82/12.16 fof(f3051,plain,(
% 93.82/12.16 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f3050])).
% 93.82/12.16 fof(f3622,plain,(
% 93.82/12.16 c_HOL_Oone__class_Oone(tc_nat)=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1227])).
% 93.82/12.16 fof(f3629,plain,(
% 93.82/12.16 ![X0]: (hAPP(c_Suc,X0)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1233])).
% 93.82/12.16 fof(f3630,plain,(
% 93.82/12.16 ![X0]: (hAPP(c_Suc,X0)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1234])).
% 93.82/12.16 fof(f3636,plain,(
% 93.82/12.16 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_m,tc_nat)),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1238])).
% 93.82/12.16 fof(f3694,plain,(
% 93.82/12.16 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)=hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1272])).
% 93.82/12.16 fof(f3894,plain,(
% 93.82/12.16 ![X0,X1]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1393])).
% 93.82/12.16 fof(f3902,plain,(
% 93.82/12.16 ![V_m,V_n]: ((![V_k]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)|V_k=c_HOL_Ozero__class_Ozero(tc_nat)))|V_m=V_n)),
% 93.82/12.16 inference(miniscoping,[status(esa)],[f1398])).
% 93.82/12.16 fof(f3903,plain,(
% 93.82/12.16 ![X0,X1,X2]: (~hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|X0=X2)),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f3902])).
% 93.82/12.16 fof(f4033,plain,(
% 93.82/12.16 ![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))),
% 93.82/12.16 inference(miniscoping,[status(esa)],[f1472])).
% 93.82/12.16 fof(f4034,plain,(
% 93.82/12.16 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f4033])).
% 93.82/12.16 fof(f4053,plain,(
% 93.82/12.16 ![X0]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0)=X0)),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1483])).
% 93.82/12.16 fof(f4054,plain,(
% 93.82/12.16 ![X0]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))=X0)),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1484])).
% 93.82/12.16 fof(f4099,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBB(X0,X1,X2,X3,X4),X5)=hAPP(X0,hAPP(X1,X5)))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1511])).
% 93.82/12.16 fof(f4100,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBC(X0,X1,X2,X3,X4),X5)=hAPP(hAPP(X0,X5),X1))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1512])).
% 93.82/12.16 fof(f4101,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBS(X0,X1,X2,X3,X4),X5)=hAPP(hAPP(X0,X5),hAPP(X1,X5)))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1513])).
% 93.82/12.16 fof(f4143,plain,(
% 93.82/12.16 ![X0]: (X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1537])).
% 93.82/12.16 fof(f4233,plain,(
% 93.82/12.16 class_Ring__and__Field_Oordered__idom(tc_Int_Oint)),
% 93.82/12.16 inference(cnf_transformation,[status(esa)],[f1620])).
% 93.82/12.16 fof(f4315,plain,(
% 93.82/12.16 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)=hAPP(c_Suc,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)))),
% 93.82/12.16 inference(forward_demodulation,[status(thm)],[f3622,f3694])).
% 93.82/12.16 fof(f4564,plain,(
% 93.82/12.16 spl0_9 <=> c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f4565,plain,(
% 93.82/12.16 c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_9),
% 93.82/12.16 inference(component_clause,[status(thm)],[f4564])).
% 93.82/12.16 fof(f4661,plain,(
% 93.82/12.16 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f3894,f4034])).
% 93.82/12.16 fof(f4731,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4]: (~hAPP(X0,X1)=hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X0,X2,X3,X4),X1)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4101,f4661])).
% 93.82/12.16 fof(f4735,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4]: (~c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X0,X1,X2,X3),X4),hAPP(X0,X4),tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4101,f3012])).
% 93.82/12.16 fof(f4807,plain,(
% 93.82/12.16 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f3894,f3051])).
% 93.82/12.16 fof(f4810,plain,(
% 93.82/12.16 spl0_19 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f4811,plain,(
% 93.82/12.16 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_19)),
% 93.82/12.16 inference(component_clause,[status(thm)],[f4810])).
% 93.82/12.16 fof(f4820,plain,(
% 93.82/12.16 v_m=hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_m),c_HOL_Oone__class_Oone(tc_nat)))),
% 93.82/12.16 inference(resolution,[status(thm)],[f2602,f3636])).
% 93.82/12.16 fof(f4886,plain,(
% 93.82/12.16 v_m=hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_m),c_HOL_Ozero__class_Ozero(tc_nat)))|~spl0_9),
% 93.82/12.16 inference(backward_demodulation,[status(thm)],[f4565,f4820])).
% 93.82/12.16 fof(f4887,plain,(
% 93.82/12.16 v_m=hAPP(c_Suc,v_m)|~spl0_9),
% 93.82/12.16 inference(forward_demodulation,[status(thm)],[f2754,f4886])).
% 93.82/12.16 fof(f4888,plain,(
% 93.82/12.16 $false|~spl0_9),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f4887,f1976])).
% 93.82/12.16 fof(f4889,plain,(
% 93.82/12.16 ~spl0_9),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f4888])).
% 93.82/12.16 fof(f4891,plain,(
% 93.82/12.16 ![X0,X1,X2]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))),
% 93.82/12.16 inference(resolution,[status(thm)],[f3006,f3051])).
% 93.82/12.16 fof(f4959,plain,(
% 93.82/12.16 ![X0,X1]: (c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),hAPP(c_Suc,X1),tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f3629,f3008])).
% 93.82/12.16 fof(f4960,plain,(
% 93.82/12.16 ![X0,X1]: (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(c_Suc,X0),tc_nat)|~spl0_19)),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f4959,f4811])).
% 93.82/12.16 fof(f4979,plain,(
% 93.82/12.16 ![X0]: (~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat)|~spl0_19)),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4143,f4960])).
% 93.82/12.16 fof(f4980,plain,(
% 93.82/12.16 $false|~spl0_19),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f4979,f1944])).
% 93.82/12.16 fof(f4981,plain,(
% 93.82/12.16 ~spl0_19),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f4980])).
% 93.82/12.16 fof(f5010,plain,(
% 93.82/12.16 spl0_29 <=> c_HOL_Oord__class_Oless(X1,X1,tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f5011,plain,(
% 93.82/12.16 ![X0]: (c_HOL_Oord__class_Oless(X0,X0,tc_nat)|~spl0_29)),
% 93.82/12.16 inference(component_clause,[status(thm)],[f5010])).
% 93.82/12.16 fof(f5285,plain,(
% 93.82/12.16 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))),
% 93.82/12.16 inference(resolution,[status(thm)],[f4807,f3010])).
% 93.82/12.16 fof(f5362,plain,(
% 93.82/12.16 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),hAPP(c_Suc,X1),tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f3630,f4891])).
% 93.82/12.16 fof(f5377,plain,(
% 93.82/12.16 $false|~spl0_29),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f5011,f2589])).
% 93.82/12.16 fof(f5378,plain,(
% 93.82/12.16 ~spl0_29),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f5377])).
% 93.82/12.16 fof(f5548,plain,(
% 93.82/12.16 spl0_39 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f5549,plain,(
% 93.82/12.16 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_39),
% 93.82/12.16 inference(component_clause,[status(thm)],[f5548])).
% 93.82/12.16 fof(f5568,plain,(
% 93.82/12.16 spl0_43 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f5569,plain,(
% 93.82/12.16 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat)|~spl0_43)),
% 93.82/12.16 inference(component_clause,[status(thm)],[f5568])).
% 93.82/12.16 fof(f5585,plain,(
% 93.82/12.16 $false|~spl0_39),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f5549,f2748])).
% 93.82/12.16 fof(f5586,plain,(
% 93.82/12.16 ~spl0_39),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f5585])).
% 93.82/12.16 fof(f5587,plain,(
% 93.82/12.16 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_43)),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f5569,f1799])).
% 93.82/12.16 fof(f5589,plain,(
% 93.82/12.16 ![X0]: (c_HOL_Oord__class_Oless(c_Int_OPls,X0,tc_Int_Oint)|~spl0_43)),
% 93.82/12.16 inference(backward_subsumption_resolution,[status(thm)],[f2887,f5587])).
% 93.82/12.16 fof(f5630,plain,(
% 93.82/12.16 $false|~spl0_43),
% 93.82/12.16 inference(backward_subsumption_resolution,[status(thm)],[f2628,f5589])).
% 93.82/12.16 fof(f5631,plain,(
% 93.82/12.16 ~spl0_43),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f5630])).
% 93.82/12.16 fof(f5795,plain,(
% 93.82/12.16 spl0_50 <=> c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f5796,plain,(
% 93.82/12.16 c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_50),
% 93.82/12.16 inference(component_clause,[status(thm)],[f5795])).
% 93.82/12.16 fof(f5821,plain,(
% 93.82/12.16 c_HOL_Ozero__class_Ozero(tc_nat)=hAPP(c_Suc,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)))|~spl0_50),
% 93.82/12.16 inference(backward_demodulation,[status(thm)],[f5796,f4315])).
% 93.82/12.16 fof(f5822,plain,(
% 93.82/12.16 $false|~spl0_50),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f5821,f2745])).
% 93.82/12.16 fof(f5823,plain,(
% 93.82/12.16 ~spl0_50),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f5822])).
% 93.82/12.16 fof(f6261,plain,(
% 93.82/12.16 spl0_54 <=> ~X0=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))|X0=X1),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f6262,plain,(
% 93.82/12.16 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))|X0=X1|~spl0_54)),
% 93.82/12.16 inference(component_clause,[status(thm)],[f6261])).
% 93.82/12.16 fof(f6264,plain,(
% 93.82/12.16 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))|c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|X0=X1)),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4054,f3903])).
% 93.82/12.16 fof(f6265,plain,(
% 93.82/12.16 spl0_54|spl0_9),
% 93.82/12.16 inference(split_clause,[status(thm)],[f6264,f6261,f4564])).
% 93.82/12.16 fof(f6298,plain,(
% 93.82/12.16 ![X0,X1,X2,X3]: (hAPP(c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),X3)=X3|~spl0_54)),
% 93.82/12.16 inference(resolution,[status(thm)],[f6262,f4100])).
% 93.82/12.16 fof(f6368,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5,X6,X7]: (hAPP(c_COMBS(X0,c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X1,X2,X3),X4,X5,X6),X7)=hAPP(hAPP(X0,X7),X7)|~spl0_54)),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f6298,f4101])).
% 93.82/12.16 fof(f6523,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5,X6]: (hAPP(c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),X3,X4,X5),X6)=hAPP(X6,X6)|~spl0_54)),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4053,f6368])).
% 93.82/12.16 fof(f8634,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),X3,X4,X5),X6,X7,X8),X9),hAPP(X9,X9),tc_nat)|~spl0_54)),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f6523,f4735])).
% 93.82/12.16 fof(f9802,plain,(
% 93.82/12.16 spl0_71 <=> hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f9803,plain,(
% 93.82/12.16 hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_71),
% 93.82/12.16 inference(component_clause,[status(thm)],[f9802])).
% 93.82/12.16 fof(f9808,plain,(
% 93.82/12.16 spl0_72 <=> ~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f9809,plain,(
% 93.82/12.16 ![X0]: (~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|~spl0_72)),
% 93.82/12.16 inference(component_clause,[status(thm)],[f9808])).
% 93.82/12.16 fof(f9811,plain,(
% 93.82/12.16 spl0_73 <=> c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f9812,plain,(
% 93.82/12.16 c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)|~spl0_73),
% 93.82/12.16 inference(component_clause,[status(thm)],[f9811])).
% 93.82/12.16 fof(f9814,plain,(
% 93.82/12.16 ![X0]: (~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4315,f5362])).
% 93.82/12.16 fof(f9815,plain,(
% 93.82/12.16 spl0_72|spl0_73),
% 93.82/12.16 inference(split_clause,[status(thm)],[f9814,f9808,f9811])).
% 93.82/12.16 fof(f9831,plain,(
% 93.82/12.16 $false|~spl0_71),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f9803,f2745])).
% 93.82/12.16 fof(f9832,plain,(
% 93.82/12.16 ~spl0_71),
% 93.82/12.16 inference(contradiction_clause,[status(thm)],[f9831])).
% 93.82/12.16 fof(f9977,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),X3,X4,X5),X6,X7,X8)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_54)),
% 93.82/12.16 inference(resolution,[status(thm)],[f4731,f6523])).
% 93.82/12.16 fof(f10004,plain,(
% 93.82/12.16 ![X0]: (~c_HOL_Oord__class_Oless(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X0),hAPP(X0,X0),tc_nat)|~spl0_54)),
% 93.82/12.16 inference(backward_demodulation,[status(thm)],[f9977,f8634])).
% 93.82/12.16 fof(f10584,plain,(
% 93.82/12.16 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_72)),
% 93.82/12.16 inference(resolution,[status(thm)],[f9809,f5362])).
% 93.82/12.16 fof(f10585,plain,(
% 93.82/12.16 spl0_19|~spl0_72),
% 93.82/12.16 inference(split_clause,[status(thm)],[f10584,f4810,f9808])).
% 93.82/12.16 fof(f10610,plain,(
% 93.82/12.16 ![X0,X1,X2,X3,X4]: (~c_HOL_Oord__class_Oless(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),c_COMBB(X0,X1,X2,X3,X4)),hAPP(X0,hAPP(X1,c_COMBB(X0,X1,X2,X3,X4))),tc_nat)|~spl0_54)),
% 93.82/12.16 inference(paramodulation,[status(thm)],[f4099,f10004])).
% 93.82/12.16 fof(f12296,plain,(
% 93.82/12.16 spl0_87 <=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint)),
% 93.82/12.16 introduced(split_symbol_definition)).
% 93.82/12.16 fof(f12298,plain,(
% 93.82/12.16 ~class_Ring__and__Field_Oordered__idom(tc_Int_Oint)|spl0_87),
% 93.82/12.16 inference(component_clause,[status(thm)],[f12296])).
% 93.82/12.16 fof(f12304,plain,(
% 93.82/12.16 $false|spl0_87),
% 93.82/12.16 inference(forward_subsumption_resolution,[status(thm)],[f12298,f4233])).
% 95.04/12.27 fof(f12305,plain,(
% 95.04/12.27 spl0_87),
% 95.04/12.27 inference(contradiction_clause,[status(thm)],[f12304])).
% 95.04/12.27 fof(f15428,plain,(
% 95.04/12.27 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~spl0_54)),
% 95.04/12.27 inference(resolution,[status(thm)],[f10610,f5285])).
% 95.04/12.27 fof(f15506,plain,(
% 95.04/12.27 $false|~spl0_54|~spl0_73),
% 95.04/12.27 inference(backward_subsumption_resolution,[status(thm)],[f9812,f15428])).
% 95.04/12.27 fof(f15507,plain,(
% 95.04/12.27 ~spl0_54|~spl0_73),
% 95.04/12.27 inference(contradiction_clause,[status(thm)],[f15506])).
% 95.04/12.27 fof(f15508,plain,(
% 95.04/12.27 $false),
% 95.04/12.27 inference(sat_refutation,[status(thm)],[f4889,f4981,f5378,f5586,f5631,f5823,f6265,f9815,f9832,f10585,f12305,f15507])).
% 95.04/12.27 % SZS output end CNFRefutation for theBenchmark.p
% 95.40/12.45 % Elapsed time: 12.178506 seconds
% 95.40/12.45 % CPU time: 95.107422 seconds
% 95.40/12.45 % Memory used: 1.134 GB
%------------------------------------------------------------------------------