TSTP Solution File: SWV640-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV640-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 113.46s 14.74s
% Output : CNFRefutation 114.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV640-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:09:07 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.41 % Drodi V3.5.1
% 113.46/14.74 % Refutation found
% 113.46/14.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 113.46/14.74 % SZS output start CNFRefutation for theBenchmark
% 113.46/14.74 fof(f86,axiom,(
% 113.46/14.74 (![V_x]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_x),tc_nat) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f186,axiom,(
% 113.46/14.74 (![V_x]: (c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f207,axiom,(
% 113.46/14.74 (![V_n]: (V_n != hAPP(c_Suc,V_n) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f588,axiom,(
% 113.46/14.74 (![V_n]: (~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f618,axiom,(
% 113.46/14.74 ~ c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OMin,tc_Int_Oint) ),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f693,axiom,(
% 113.46/14.74 (![V_nat_H]: (hAPP(c_Suc,V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f696,axiom,(
% 113.46/14.74 (![V_n]: (~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f755,axiom,(
% 113.46/14.74 (![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) ) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f756,axiom,(
% 113.46/14.74 (![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) ) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f794,axiom,(
% 113.46/14.74 (![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) ) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f857,axiom,(
% 113.46/14.74 (![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) ) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f859,axiom,(
% 113.46/14.74 (![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) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f884,axiom,(
% 113.46/14.74 (![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) ) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1242,axiom,(
% 113.46/14.74 c_HOL_Oone__class_Oone(tc_nat) = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1248,axiom,(
% 113.46/14.74 (![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)) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1249,axiom,(
% 113.46/14.74 (![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) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1286,axiom,(
% 113.46/14.74 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)))) ),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1407,axiom,(
% 113.46/14.74 (![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) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1412,axiom,(
% 113.46/14.74 (![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 ) ))),
% 113.46/14.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.74 fof(f1486,axiom,(
% 113.46/14.74 (![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) ) ))),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1498,axiom,(
% 113.46/14.76 (![V_n]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) = V_n ))),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1525,axiom,(
% 113.46/14.76 (![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)) ))),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1526,axiom,(
% 113.46/14.76 (![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) ))),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1527,axiom,(
% 113.46/14.76 (![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)) ))),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1551,axiom,(
% 113.46/14.76 (![V_x]: (V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ))),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1634,axiom,(
% 113.46/14.76 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 113.46/14.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 113.46/14.76 fof(f1824,plain,(
% 113.46/14.76 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f86])).
% 113.46/14.76 fof(f1966,plain,(
% 113.46/14.76 ![X0]: (c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f186])).
% 113.46/14.76 fof(f1998,plain,(
% 113.46/14.76 ![X0]: (~X0=hAPP(c_Suc,X0))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f207])).
% 113.46/14.76 fof(f2614,plain,(
% 113.46/14.76 ![X0]: (~c_HOL_Oord__class_Oless(X0,X0,tc_nat))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f588])).
% 113.46/14.76 fof(f2655,plain,(
% 113.46/14.76 ~c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OMin,tc_Int_Oint)),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f618])).
% 113.46/14.76 fof(f2773,plain,(
% 113.46/14.76 ![X0]: (~hAPP(c_Suc,X0)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f693])).
% 113.46/14.76 fof(f2776,plain,(
% 113.46/14.76 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f696])).
% 113.46/14.76 fof(f2861,plain,(
% 113.46/14.76 ![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))),
% 113.46/14.76 inference(miniscoping,[status(esa)],[f755])).
% 113.46/14.76 fof(f2862,plain,(
% 113.46/14.76 ![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))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f2861])).
% 113.46/14.76 fof(f2863,plain,(
% 113.46/14.76 ![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)))),
% 113.46/14.76 inference(miniscoping,[status(esa)],[f756])).
% 113.46/14.76 fof(f2864,plain,(
% 113.46/14.76 ![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))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f2863])).
% 113.46/14.76 fof(f2920,plain,(
% 113.46/14.76 ![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))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f794])).
% 113.46/14.76 fof(f3037,plain,(
% 113.46/14.76 ![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))),
% 113.46/14.76 inference(miniscoping,[status(esa)],[f857])).
% 113.46/14.76 fof(f3038,plain,(
% 113.46/14.76 ![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))),
% 113.46/14.76 inference(cnf_transformation,[status(esa)],[f3037])).
% 113.46/14.76 fof(f3040,plain,(
% 113.46/14.76 ![X0,X1]: (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f859])).
% 113.46/14.77 fof(f3078,plain,(
% 113.46/14.77 ![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)))),
% 113.46/14.77 inference(miniscoping,[status(esa)],[f884])).
% 113.46/14.77 fof(f3079,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f3078])).
% 113.46/14.77 fof(f3661,plain,(
% 113.46/14.77 c_HOL_Oone__class_Oone(tc_nat)=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1242])).
% 113.46/14.77 fof(f3668,plain,(
% 113.46/14.77 ![X0]: (hAPP(c_Suc,X0)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1248])).
% 113.46/14.77 fof(f3669,plain,(
% 113.46/14.77 ![X0]: (hAPP(c_Suc,X0)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),X0))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1249])).
% 113.46/14.77 fof(f3732,plain,(
% 113.46/14.77 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))))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1286])).
% 113.46/14.77 fof(f3933,plain,(
% 113.46/14.77 ![X0,X1]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1407])).
% 113.46/14.77 fof(f3941,plain,(
% 113.46/14.77 ![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)),
% 113.46/14.77 inference(miniscoping,[status(esa)],[f1412])).
% 113.46/14.77 fof(f3942,plain,(
% 113.46/14.77 ![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)),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f3941])).
% 113.46/14.77 fof(f4071,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(miniscoping,[status(esa)],[f1486])).
% 113.46/14.77 fof(f4072,plain,(
% 113.46/14.77 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f4071])).
% 113.46/14.77 fof(f4092,plain,(
% 113.46/14.77 ![X0]: (hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))=X0)),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1498])).
% 113.46/14.77 fof(f4137,plain,(
% 113.46/14.77 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBB(X0,X1,X2,X3,X4),X5)=hAPP(X0,hAPP(X1,X5)))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1525])).
% 113.46/14.77 fof(f4138,plain,(
% 113.46/14.77 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBC(X0,X1,X2,X3,X4),X5)=hAPP(hAPP(X0,X5),X1))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1526])).
% 113.46/14.77 fof(f4139,plain,(
% 113.46/14.77 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBS(X0,X1,X2,X3,X4),X5)=hAPP(hAPP(X0,X5),hAPP(X1,X5)))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1527])).
% 113.46/14.77 fof(f4181,plain,(
% 113.46/14.77 ![X0]: (X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1551])).
% 113.46/14.77 fof(f4271,plain,(
% 113.46/14.77 class_Ring__and__Field_Oordered__idom(tc_Int_Oint)),
% 113.46/14.77 inference(cnf_transformation,[status(esa)],[f1634])).
% 113.46/14.77 fof(f4353,plain,(
% 113.46/14.77 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)))),
% 113.46/14.77 inference(forward_demodulation,[status(thm)],[f3661,f3732])).
% 113.46/14.77 fof(f4597,plain,(
% 113.46/14.77 spl0_7 <=> c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f4598,plain,(
% 113.46/14.77 c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_7),
% 113.46/14.77 inference(component_clause,[status(thm)],[f4597])).
% 113.46/14.77 fof(f4689,plain,(
% 113.46/14.77 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f3933,f4072])).
% 113.46/14.77 fof(f4774,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f4139,f4689])).
% 113.46/14.77 fof(f4778,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f4139,f3040])).
% 113.46/14.77 fof(f4850,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f3933,f3079])).
% 113.46/14.77 fof(f4853,plain,(
% 113.46/14.77 spl0_19 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f4854,plain,(
% 113.46/14.77 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_19)),
% 113.46/14.77 inference(component_clause,[status(thm)],[f4853])).
% 113.46/14.77 fof(f4924,plain,(
% 113.46/14.77 c_HOL_Ozero__class_Ozero(tc_nat)=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|~spl0_7),
% 113.46/14.77 inference(backward_demodulation,[status(thm)],[f4598,f3661])).
% 113.46/14.77 fof(f4925,plain,(
% 113.46/14.77 $false|~spl0_7),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f4924,f1998])).
% 113.46/14.77 fof(f4926,plain,(
% 113.46/14.77 ~spl0_7),
% 113.46/14.77 inference(contradiction_clause,[status(thm)],[f4925])).
% 113.46/14.77 fof(f4977,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(resolution,[status(thm)],[f2862,f3079])).
% 113.46/14.77 fof(f5013,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f3668,f2864])).
% 113.46/14.77 fof(f5014,plain,(
% 113.46/14.77 ![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)),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f5013,f4854])).
% 113.46/14.77 fof(f5033,plain,(
% 113.46/14.77 ![X0]: (~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat)|~spl0_19)),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f4181,f5014])).
% 113.46/14.77 fof(f5034,plain,(
% 113.46/14.77 $false|~spl0_19),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f5033,f1966])).
% 113.46/14.77 fof(f5035,plain,(
% 113.46/14.77 ~spl0_19),
% 113.46/14.77 inference(contradiction_clause,[status(thm)],[f5034])).
% 113.46/14.77 fof(f5143,plain,(
% 113.46/14.77 spl0_28 <=> c_HOL_Oord__class_Oless(X1,X1,tc_nat)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f5144,plain,(
% 113.46/14.77 ![X0]: (c_HOL_Oord__class_Oless(X0,X0,tc_nat)|~spl0_28)),
% 113.46/14.77 inference(component_clause,[status(thm)],[f5143])).
% 113.46/14.77 fof(f5148,plain,(
% 113.46/14.77 ![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),X1),X2),tc_nat))),
% 113.46/14.77 inference(resolution,[status(thm)],[f3038,f4850])).
% 113.46/14.77 fof(f5389,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f3669,f4977])).
% 113.46/14.77 fof(f5404,plain,(
% 113.46/14.77 $false|~spl0_28),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f5144,f2614])).
% 113.46/14.77 fof(f5405,plain,(
% 113.46/14.77 ~spl0_28),
% 113.46/14.77 inference(contradiction_clause,[status(thm)],[f5404])).
% 113.46/14.77 fof(f5624,plain,(
% 113.46/14.77 spl0_35 <=> ~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f5625,plain,(
% 113.46/14.77 ![X0]: (~c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat)|~spl0_35)),
% 113.46/14.77 inference(component_clause,[status(thm)],[f5624])).
% 113.46/14.77 fof(f5627,plain,(
% 113.46/14.77 spl0_36 <=> 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)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f5628,plain,(
% 113.46/14.77 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_36),
% 113.46/14.77 inference(component_clause,[status(thm)],[f5627])).
% 113.46/14.77 fof(f5630,plain,(
% 113.46/14.77 ![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))),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f4353,f5389])).
% 113.46/14.77 fof(f5631,plain,(
% 113.46/14.77 spl0_35|spl0_36),
% 113.46/14.77 inference(split_clause,[status(thm)],[f5630,f5624,f5627])).
% 113.46/14.77 fof(f5638,plain,(
% 113.46/14.77 spl0_38 <=> hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f5639,plain,(
% 113.46/14.77 hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_38),
% 113.46/14.77 inference(component_clause,[status(thm)],[f5638])).
% 113.46/14.77 fof(f5649,plain,(
% 113.46/14.77 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)|~spl0_35)),
% 113.46/14.77 inference(resolution,[status(thm)],[f5625,f5389])).
% 113.46/14.77 fof(f5650,plain,(
% 113.46/14.77 spl0_19|~spl0_35),
% 113.46/14.77 inference(split_clause,[status(thm)],[f5649,f4853,f5624])).
% 113.46/14.77 fof(f5939,plain,(
% 113.46/14.77 spl0_43 <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f5940,plain,(
% 113.46/14.77 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|~spl0_43),
% 113.46/14.77 inference(component_clause,[status(thm)],[f5939])).
% 113.46/14.77 fof(f5959,plain,(
% 113.46/14.77 spl0_47 <=> 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)),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f5960,plain,(
% 113.46/14.77 ![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_47)),
% 113.46/14.77 inference(component_clause,[status(thm)],[f5959])).
% 113.46/14.77 fof(f5976,plain,(
% 113.46/14.77 $false|~spl0_43),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f5940,f2776])).
% 113.46/14.77 fof(f5977,plain,(
% 113.46/14.77 ~spl0_43),
% 113.46/14.77 inference(contradiction_clause,[status(thm)],[f5976])).
% 113.46/14.77 fof(f5978,plain,(
% 113.46/14.77 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)|~spl0_47)),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f5960,f1824])).
% 113.46/14.77 fof(f5980,plain,(
% 113.46/14.77 ![X0]: (c_HOL_Oord__class_Oless(c_Int_OPls,X0,tc_Int_Oint)|~spl0_47)),
% 113.46/14.77 inference(backward_subsumption_resolution,[status(thm)],[f2920,f5978])).
% 113.46/14.77 fof(f6026,plain,(
% 113.46/14.77 $false|~spl0_47),
% 113.46/14.77 inference(backward_subsumption_resolution,[status(thm)],[f2655,f5980])).
% 113.46/14.77 fof(f6027,plain,(
% 113.46/14.77 ~spl0_47),
% 113.46/14.77 inference(contradiction_clause,[status(thm)],[f6026])).
% 113.46/14.77 fof(f6152,plain,(
% 113.46/14.77 $false|~spl0_38),
% 113.46/14.77 inference(forward_subsumption_resolution,[status(thm)],[f5639,f2773])).
% 113.46/14.77 fof(f6153,plain,(
% 113.46/14.77 ~spl0_38),
% 113.46/14.77 inference(contradiction_clause,[status(thm)],[f6152])).
% 113.46/14.77 fof(f6574,plain,(
% 113.46/14.77 spl0_59 <=> ~X0=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))|X0=X1),
% 113.46/14.77 introduced(split_symbol_definition)).
% 113.46/14.77 fof(f6575,plain,(
% 113.46/14.77 ![X0,X1]: (~X0=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))|X0=X1|~spl0_59)),
% 113.46/14.77 inference(component_clause,[status(thm)],[f6574])).
% 113.46/14.77 fof(f6577,plain,(
% 113.46/14.77 ![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)),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f4092,f3942])).
% 113.46/14.77 fof(f6578,plain,(
% 113.46/14.77 spl0_59|spl0_7),
% 113.46/14.77 inference(split_clause,[status(thm)],[f6577,f6574,f4597])).
% 113.46/14.77 fof(f6613,plain,(
% 113.46/14.77 ![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_59)),
% 113.46/14.77 inference(resolution,[status(thm)],[f6575,f4138])).
% 113.46/14.77 fof(f6686,plain,(
% 113.46/14.77 ![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_59)),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f6613,f4139])).
% 113.46/14.77 fof(f6826,plain,(
% 113.46/14.77 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (hAPP(c_COMBS(c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X3,X4,X5),X6,X7,X8),X9)=hAPP(X9,X9)|~spl0_59)),
% 113.46/14.77 inference(paramodulation,[status(thm)],[f6613,f6686])).
% 113.46/14.77 fof(f10736,plain,(
% 113.46/14.77 spl0_87 <=> hAPP(c_Suc,c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)),
% 114.48/14.89 introduced(split_symbol_definition)).
% 114.48/14.89 fof(f10737,plain,(
% 114.48/14.89 hAPP(c_Suc,c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_87),
% 114.48/14.89 inference(component_clause,[status(thm)],[f10736])).
% 114.48/14.89 fof(f10751,plain,(
% 114.48/14.89 $false|~spl0_87),
% 114.48/14.89 inference(forward_subsumption_resolution,[status(thm)],[f10737,f2773])).
% 114.48/14.89 fof(f10752,plain,(
% 114.48/14.89 ~spl0_87),
% 114.48/14.89 inference(contradiction_clause,[status(thm)],[f10751])).
% 114.48/14.89 fof(f11218,plain,(
% 114.48/14.89 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X3,X4,X5),X6,X7,X8),X9,X10,X11)=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_59)),
% 114.48/14.89 inference(resolution,[status(thm)],[f6826,f4774])).
% 114.48/14.89 fof(f11277,plain,(
% 114.48/14.89 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12]: (~c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X0,X1,X2),c_COMBC(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Oone__class_Oone(tc_nat),X3,X4,X5),X6,X7,X8),X9,X10,X11),X12),hAPP(X12,X12),tc_nat)|~spl0_59)),
% 114.48/14.89 inference(paramodulation,[status(thm)],[f6826,f4778])).
% 114.48/14.89 fof(f11278,plain,(
% 114.48/14.89 ![X0]: (~c_HOL_Oord__class_Oless(hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X0),hAPP(X0,X0),tc_nat)|~spl0_59)),
% 114.48/14.89 inference(forward_demodulation,[status(thm)],[f11218,f11277])).
% 114.48/14.89 fof(f11906,plain,(
% 114.48/14.89 spl0_102 <=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint)),
% 114.48/14.89 introduced(split_symbol_definition)).
% 114.48/14.89 fof(f11908,plain,(
% 114.48/14.89 ~class_Ring__and__Field_Oordered__idom(tc_Int_Oint)|spl0_102),
% 114.48/14.89 inference(component_clause,[status(thm)],[f11906])).
% 114.48/14.89 fof(f11914,plain,(
% 114.48/14.89 $false|spl0_102),
% 114.48/14.89 inference(forward_subsumption_resolution,[status(thm)],[f11908,f4271])).
% 114.48/14.89 fof(f11915,plain,(
% 114.48/14.89 spl0_102),
% 114.48/14.89 inference(contradiction_clause,[status(thm)],[f11914])).
% 114.48/14.89 fof(f11939,plain,(
% 114.48/14.89 ![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_59)),
% 114.48/14.89 inference(paramodulation,[status(thm)],[f4137,f11278])).
% 114.48/14.89 fof(f15657,plain,(
% 114.48/14.89 ![X0,X1]: (~c_HOL_Oord__class_Oless(X0,X1,tc_nat)|~spl0_59)),
% 114.48/14.89 inference(resolution,[status(thm)],[f11939,f5148])).
% 114.48/14.89 fof(f15731,plain,(
% 114.48/14.89 $false|~spl0_59|~spl0_36),
% 114.48/14.89 inference(backward_subsumption_resolution,[status(thm)],[f5628,f15657])).
% 114.48/14.89 fof(f15732,plain,(
% 114.48/14.89 ~spl0_59|~spl0_36),
% 114.48/14.89 inference(contradiction_clause,[status(thm)],[f15731])).
% 114.48/14.89 fof(f15733,plain,(
% 114.48/14.89 $false),
% 114.48/14.89 inference(sat_refutation,[status(thm)],[f4926,f5035,f5405,f5631,f5650,f5977,f6027,f6153,f6578,f10752,f11915,f15732])).
% 114.48/14.89 % SZS output end CNFRefutation for theBenchmark.p
% 115.39/15.17 % Elapsed time: 14.849550 seconds
% 115.39/15.17 % CPU time: 115.132485 seconds
% 115.39/15.17 % Memory used: 1.156 GB
%------------------------------------------------------------------------------