TSTP Solution File: COL094-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL094-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:13:50 EDT 2024
% Result : Unsatisfiable 9.96s 1.67s
% Output : CNFRefutation 10.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL094-1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.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 : Mon Apr 29 22:24:02 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 9.96/1.67 % Refutation found
% 9.96/1.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.96/1.67 % SZS output start CNFRefutation for theBenchmark
% 9.96/1.67 fof(f1,axiom,(
% 9.96/1.67 combK != combS ),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f3,axiom,(
% 9.96/1.67 (![P,Q]: (combS != comb_app(P,Q) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f4,axiom,(
% 9.96/1.67 (![P1,Q1,P2,Q2]: (( comb_app(P1,Q1) != comb_app(P2,Q2)| P1 = P2 ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f5,axiom,(
% 9.96/1.67 (![P1,Q1,P2,Q2]: (( comb_app(P1,Q1) != comb_app(P2,Q2)| Q1 = Q2 ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f7,axiom,(
% 9.96/1.67 (![P,Q]: (( ~ member(comb_app(P,Q),comb)| member(P,comb) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f8,axiom,(
% 9.96/1.67 (![P,Q]: (( ~ member(comb_app(P,Q),comb)| member(Q,comb) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f9,axiom,(
% 9.96/1.67 member(combK,comb) ),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f10,axiom,(
% 9.96/1.67 member(combS,comb) ),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f11,axiom,(
% 9.96/1.67 (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(comb_app(P,Q),comb) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f13,axiom,(
% 9.96/1.67 (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(pair(comb_app(comb_app(combK,P),Q),P),contract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f14,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ member(P,comb)| ~ member(Q,comb)| ~ member(R,comb)| member(pair(comb_app(comb_app(comb_app(combS,P),Q),R),comb_app(comb_app(P,R),comb_app(Q,R))),contract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f15,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ member(pair(comb_app(P,Q),R),contract)| ap_contractE_c1(P,Q,R)| ap_contractE_c2(P,Q,R)| ap_contractE_c3(P,Q,R)| ap_contractE_c4(P,Q,R) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f27,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_contractE_c4(P,Q,R)| member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f30,axiom,(
% 9.96/1.67 (![R]: (~ member(pair(combK,R),contract) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f31,axiom,(
% 9.96/1.67 (![R]: (~ member(pair(combS,R),contract) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f32,axiom,(
% 9.96/1.67 (![P]: (( ~ member(P,comb)| member(pair(P,P),parcontract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f33,axiom,(
% 9.96/1.67 (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(pair(comb_app(comb_app(combK,P),Q),P),parcontract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f34,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ member(P,comb)| ~ member(Q,comb)| ~ member(R,comb)| member(pair(comb_app(comb_app(comb_app(combS,P),Q),R),comb_app(comb_app(P,R),comb_app(Q,R))),parcontract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f36,axiom,(
% 9.96/1.67 (![R]: (( ~ member(pair(combK,R),parcontract)| member(combK,comb) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f37,axiom,(
% 9.96/1.67 (![R]: (( ~ member(pair(combK,R),parcontract)| R = combK ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f38,axiom,(
% 9.96/1.67 (![R]: (( ~ member(pair(combS,R),parcontract)| member(combS,comb) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f39,axiom,(
% 9.96/1.67 (![R]: (( ~ member(pair(combS,R),parcontract)| R = combS ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f40,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ member(pair(comb_app(P,Q),R),parcontract)| ap_parcontractE_c1(P,Q,R)| ap_parcontractE_c2(P,Q,R)| ap_parcontractE_c3(P,Q,R)| ap_parcontractE_c4(P,Q,R) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f41,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c1(P,Q,R)| member(comb_app(P,Q),comb) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f42,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c1(P,Q,R)| R = comb_app(P,Q) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f45,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c2(P,Q,R)| P = comb_app(combK,R) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f49,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c3(P,Q,R)| R = comb_app(comb_app(ap_parcontractE_sk1p(P,Q,R),Q),comb_app(ap_parcontractE_sk1q(P,Q,R),Q)) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f50,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c3(P,Q,R)| P = comb_app(comb_app(combS,ap_parcontractE_sk1p(P,Q,R)),ap_parcontractE_sk1q(P,Q,R)) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f51,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c4(P,Q,R)| member(pair(P,ap_parcontractE_sk2q(P,Q,R)),parcontract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f52,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c4(P,Q,R)| member(pair(Q,ap_parcontractE_sk2s(P,Q,R)),parcontract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f53,axiom,(
% 9.96/1.67 (![P,Q,R]: (( ~ ap_parcontractE_c4(P,Q,R)| R = comb_app(ap_parcontractE_sk2q(P,Q,R),ap_parcontractE_sk2s(P,Q,R)) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f54,hypothesis,(
% 9.96/1.67 member(pair(comb_app(comb_app(combS,p),q),r),parcontract) ),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f55,negated_conjecture,(
% 9.96/1.67 (![PP,QP]: (( r != comb_app(comb_app(combS,PP),QP)| ~ member(pair(p,PP),parcontract)| ~ member(pair(q,QP),parcontract) ) ))),
% 9.96/1.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.96/1.67 fof(f56,plain,(
% 9.96/1.67 ~combK=combS),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f1])).
% 9.96/1.67 fof(f58,plain,(
% 9.96/1.67 ![X0,X1]: (~combS=comb_app(X0,X1))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f3])).
% 9.96/1.67 fof(f59,plain,(
% 9.96/1.67 ![P1,P2]: ((![Q1,Q2]: ~comb_app(P1,Q1)=comb_app(P2,Q2))|P1=P2)),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f4])).
% 9.96/1.67 fof(f60,plain,(
% 9.96/1.67 ![X0,X1,X2,X3]: (~comb_app(X0,X1)=comb_app(X2,X3)|X0=X2)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f59])).
% 9.96/1.67 fof(f61,plain,(
% 9.96/1.67 ![Q1,Q2]: ((![P1,P2]: ~comb_app(P1,Q1)=comb_app(P2,Q2))|Q1=Q2)),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f5])).
% 9.96/1.67 fof(f62,plain,(
% 9.96/1.67 ![X0,X1,X2,X3]: (~comb_app(X0,X1)=comb_app(X2,X3)|X1=X3)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f61])).
% 9.96/1.67 fof(f64,plain,(
% 9.96/1.67 ![P]: ((![Q]: ~member(comb_app(P,Q),comb))|member(P,comb))),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f7])).
% 9.96/1.67 fof(f65,plain,(
% 9.96/1.67 ![X0,X1]: (~member(comb_app(X0,X1),comb)|member(X0,comb))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f64])).
% 9.96/1.67 fof(f66,plain,(
% 9.96/1.67 ![Q]: ((![P]: ~member(comb_app(P,Q),comb))|member(Q,comb))),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f8])).
% 9.96/1.67 fof(f67,plain,(
% 9.96/1.67 ![X0,X1]: (~member(comb_app(X0,X1),comb)|member(X1,comb))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f66])).
% 9.96/1.67 fof(f68,plain,(
% 9.96/1.67 member(combK,comb)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f9])).
% 9.96/1.67 fof(f69,plain,(
% 9.96/1.67 member(combS,comb)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f10])).
% 9.96/1.67 fof(f70,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,X1),comb))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f11])).
% 9.96/1.67 fof(f72,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(pair(comb_app(comb_app(combK,X0),X1),X0),contract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f13])).
% 9.96/1.67 fof(f73,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~member(X0,comb)|~member(X1,comb)|~member(X2,comb)|member(pair(comb_app(comb_app(comb_app(combS,X0),X1),X2),comb_app(comb_app(X0,X2),comb_app(X1,X2))),contract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f14])).
% 9.96/1.67 fof(f74,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~member(pair(comb_app(X0,X1),X2),contract)|ap_contractE_c1(X0,X1,X2)|ap_contractE_c2(X0,X1,X2)|ap_contractE_c3(X0,X1,X2)|ap_contractE_c4(X0,X1,X2))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f15])).
% 9.96/1.67 fof(f91,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_contractE_c4(X0,X1,X2)|member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f27])).
% 9.96/1.67 fof(f95,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combK,X0),contract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f30])).
% 9.96/1.67 fof(f96,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combS,X0),contract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f31])).
% 9.96/1.67 fof(f97,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(pair(X0,X0),parcontract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f32])).
% 9.96/1.67 fof(f98,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(pair(comb_app(comb_app(combK,X0),X1),X0),parcontract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f33])).
% 9.96/1.67 fof(f99,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~member(X0,comb)|~member(X1,comb)|~member(X2,comb)|member(pair(comb_app(comb_app(comb_app(combS,X0),X1),X2),comb_app(comb_app(X0,X2),comb_app(X1,X2))),parcontract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f34])).
% 9.96/1.67 fof(f101,plain,(
% 9.96/1.67 (![R]: ~member(pair(combK,R),parcontract))|member(combK,comb)),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f36])).
% 9.96/1.67 fof(f102,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combK,X0),parcontract)|member(combK,comb))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f101])).
% 9.96/1.67 fof(f103,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combK,X0),parcontract)|X0=combK)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f37])).
% 9.96/1.67 fof(f104,plain,(
% 9.96/1.67 (![R]: ~member(pair(combS,R),parcontract))|member(combS,comb)),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f38])).
% 9.96/1.67 fof(f105,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combS,X0),parcontract)|member(combS,comb))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f104])).
% 9.96/1.67 fof(f106,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combS,X0),parcontract)|X0=combS)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f39])).
% 9.96/1.67 fof(f107,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~member(pair(comb_app(X0,X1),X2),parcontract)|ap_parcontractE_c1(X0,X1,X2)|ap_parcontractE_c2(X0,X1,X2)|ap_parcontractE_c3(X0,X1,X2)|ap_parcontractE_c4(X0,X1,X2))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f40])).
% 9.96/1.67 fof(f108,plain,(
% 9.96/1.67 ![P,Q]: ((![R]: ~ap_parcontractE_c1(P,Q,R))|member(comb_app(P,Q),comb))),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f41])).
% 9.96/1.67 fof(f109,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c1(X0,X1,X2)|member(comb_app(X0,X1),comb))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f108])).
% 9.96/1.67 fof(f110,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c1(X0,X1,X2)|X2=comb_app(X0,X1))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f42])).
% 9.96/1.67 fof(f115,plain,(
% 9.96/1.67 ![P,R]: ((![Q]: ~ap_parcontractE_c2(P,Q,R))|P=comb_app(combK,R))),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f45])).
% 9.96/1.67 fof(f116,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c2(X0,X1,X2)|X0=comb_app(combK,X2))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f115])).
% 9.96/1.67 fof(f121,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c3(X0,X1,X2)|X2=comb_app(comb_app(ap_parcontractE_sk1p(X0,X1,X2),X1),comb_app(ap_parcontractE_sk1q(X0,X1,X2),X1)))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f49])).
% 9.96/1.67 fof(f122,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c3(X0,X1,X2)|X0=comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f50])).
% 9.96/1.67 fof(f123,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c4(X0,X1,X2)|member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f51])).
% 9.96/1.67 fof(f124,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c4(X0,X1,X2)|member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f52])).
% 9.96/1.67 fof(f125,plain,(
% 9.96/1.67 ![X0,X1,X2]: (~ap_parcontractE_c4(X0,X1,X2)|X2=comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f53])).
% 9.96/1.67 fof(f126,plain,(
% 9.96/1.67 member(pair(comb_app(comb_app(combS,p),q),r),parcontract)),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f54])).
% 9.96/1.67 fof(f127,plain,(
% 9.96/1.67 ![QP]: ((![PP]: (~r=comb_app(comb_app(combS,PP),QP)|~member(pair(p,PP),parcontract)))|~member(pair(q,QP),parcontract))),
% 9.96/1.67 inference(miniscoping,[status(esa)],[f55])).
% 9.96/1.67 fof(f128,plain,(
% 9.96/1.67 ![X0,X1]: (~r=comb_app(comb_app(combS,X0),X1)|~member(pair(p,X0),parcontract)|~member(pair(q,X1),parcontract))),
% 9.96/1.67 inference(cnf_transformation,[status(esa)],[f127])).
% 9.96/1.67 fof(f129,plain,(
% 9.96/1.67 spl0_0 <=> ~member(pair(combK,X0),parcontract)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f130,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combK,X0),parcontract)|~spl0_0)),
% 9.96/1.67 inference(component_clause,[status(thm)],[f129])).
% 9.96/1.67 fof(f132,plain,(
% 9.96/1.67 spl0_1 <=> member(combK,comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f135,plain,(
% 9.96/1.67 spl0_0|spl0_1),
% 9.96/1.67 inference(split_clause,[status(thm)],[f102,f129,f132])).
% 9.96/1.67 fof(f136,plain,(
% 9.96/1.67 spl0_2 <=> ~member(pair(combS,X0),parcontract)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f137,plain,(
% 9.96/1.67 ![X0]: (~member(pair(combS,X0),parcontract)|~spl0_2)),
% 9.96/1.67 inference(component_clause,[status(thm)],[f136])).
% 9.96/1.67 fof(f139,plain,(
% 9.96/1.67 spl0_3 <=> member(combS,comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f142,plain,(
% 9.96/1.67 spl0_2|spl0_3),
% 9.96/1.67 inference(split_clause,[status(thm)],[f105,f136,f139])).
% 9.96/1.67 fof(f143,plain,(
% 9.96/1.67 member(pair(combS,combS),parcontract)),
% 9.96/1.67 inference(resolution,[status(thm)],[f97,f69])).
% 9.96/1.67 fof(f144,plain,(
% 9.96/1.67 $false|~spl0_2),
% 9.96/1.67 inference(forward_subsumption_resolution,[status(thm)],[f143,f137])).
% 9.96/1.67 fof(f145,plain,(
% 9.96/1.67 ~spl0_2),
% 9.96/1.67 inference(contradiction_clause,[status(thm)],[f144])).
% 9.96/1.67 fof(f146,plain,(
% 9.96/1.67 member(pair(combK,combK),parcontract)),
% 9.96/1.67 inference(resolution,[status(thm)],[f68,f97])).
% 9.96/1.67 fof(f147,plain,(
% 9.96/1.67 $false|~spl0_0),
% 9.96/1.67 inference(backward_subsumption_resolution,[status(thm)],[f146,f130])).
% 9.96/1.67 fof(f148,plain,(
% 9.96/1.67 ~spl0_0),
% 9.96/1.67 inference(contradiction_clause,[status(thm)],[f147])).
% 9.96/1.67 fof(f150,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f70,f69])).
% 9.96/1.67 fof(f151,plain,(
% 9.96/1.67 member(comb_app(combK,combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f150,f68])).
% 9.96/1.67 fof(f152,plain,(
% 9.96/1.67 member(comb_app(combS,combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f150,f69])).
% 9.96/1.67 fof(f155,plain,(
% 9.96/1.67 member(comb_app(comb_app(combS,combS),combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f152,f150])).
% 9.96/1.67 fof(f156,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(combS,combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f152,f70])).
% 9.96/1.67 fof(f157,plain,(
% 9.96/1.67 member(pair(comb_app(combS,combS),comb_app(combS,combS)),parcontract)),
% 9.96/1.67 inference(resolution,[status(thm)],[f152,f97])).
% 9.96/1.67 fof(f160,plain,(
% 9.96/1.67 member(comb_app(comb_app(comb_app(combS,combS),combS),combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f155,f150])).
% 9.96/1.67 fof(f161,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(comb_app(combS,combS),combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f155,f70])).
% 9.96/1.67 fof(f165,plain,(
% 9.96/1.67 member(comb_app(comb_app(comb_app(comb_app(combS,combS),combS),combS),combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f160,f150])).
% 9.96/1.67 fof(f166,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(comb_app(comb_app(combS,combS),combS),combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f160,f70])).
% 9.96/1.67 fof(f171,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(comb_app(comb_app(comb_app(combS,combS),combS),combS),combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f165,f70])).
% 9.96/1.67 fof(f175,plain,(
% 9.96/1.67 member(comb_app(comb_app(combK,combS),combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f151,f150])).
% 9.96/1.67 fof(f176,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(combK,combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f151,f70])).
% 9.96/1.67 fof(f178,plain,(
% 9.96/1.67 spl0_4 <=> ~member(X0,comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f179,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|~spl0_4)),
% 9.96/1.67 inference(component_clause,[status(thm)],[f178])).
% 9.96/1.67 fof(f181,plain,(
% 9.96/1.67 spl0_5 <=> member(comb_app(combS,combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f184,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(combS,combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f156,f67])).
% 9.96/1.67 fof(f185,plain,(
% 9.96/1.67 spl0_4|spl0_5),
% 9.96/1.67 inference(split_clause,[status(thm)],[f184,f178,f181])).
% 9.96/1.67 fof(f187,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X1,comb_app(X0,comb_app(combS,combS))),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f156,f70])).
% 9.96/1.67 fof(f191,plain,(
% 9.96/1.67 member(comb_app(comb_app(comb_app(combK,combS),combS),combS),comb)),
% 9.96/1.67 inference(resolution,[status(thm)],[f175,f150])).
% 9.96/1.67 fof(f192,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(comb_app(combK,combS),combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f175,f70])).
% 9.96/1.67 fof(f194,plain,(
% 9.96/1.67 spl0_6 <=> member(comb_app(combK,combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f197,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(combK,combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f176,f67])).
% 9.96/1.67 fof(f198,plain,(
% 9.96/1.67 spl0_4|spl0_6),
% 9.96/1.67 inference(split_clause,[status(thm)],[f197,f178,f194])).
% 9.96/1.67 fof(f200,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X1,comb_app(X0,comb_app(combK,combS))),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f176,f70])).
% 9.96/1.67 fof(f205,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(X0,comb_app(comb_app(comb_app(combK,combS),combS),combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f191,f70])).
% 9.96/1.67 fof(f320,plain,(
% 9.96/1.67 $false|~spl0_4),
% 9.96/1.67 inference(backward_subsumption_resolution,[status(thm)],[f151,f179])).
% 9.96/1.67 fof(f321,plain,(
% 9.96/1.67 ~spl0_4),
% 9.96/1.67 inference(contradiction_clause,[status(thm)],[f320])).
% 9.96/1.67 fof(f322,plain,(
% 9.96/1.67 spl0_7 <=> combK=combK),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f325,plain,(
% 9.96/1.67 ~member(combK,comb)|combK=combK),
% 9.96/1.67 inference(resolution,[status(thm)],[f97,f103])).
% 9.96/1.67 fof(f326,plain,(
% 9.96/1.67 ~spl0_1|spl0_7),
% 9.96/1.67 inference(split_clause,[status(thm)],[f325,f132,f322])).
% 9.96/1.67 fof(f327,plain,(
% 9.96/1.67 spl0_8 <=> combS=combS),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f330,plain,(
% 9.96/1.67 ~member(combS,comb)|combS=combS),
% 9.96/1.67 inference(resolution,[status(thm)],[f97,f106])).
% 9.96/1.67 fof(f331,plain,(
% 9.96/1.67 ~spl0_3|spl0_8),
% 9.96/1.67 inference(split_clause,[status(thm)],[f330,f139,f327])).
% 9.96/1.67 fof(f332,plain,(
% 9.96/1.67 spl0_9 <=> member(q,comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f335,plain,(
% 9.96/1.67 spl0_10 <=> ~r=comb_app(comb_app(combS,X0),q)|~member(pair(p,X0),parcontract)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f336,plain,(
% 9.96/1.67 ![X0]: (~r=comb_app(comb_app(combS,X0),q)|~member(pair(p,X0),parcontract)|~spl0_10)),
% 9.96/1.67 inference(component_clause,[status(thm)],[f335])).
% 9.96/1.67 fof(f338,plain,(
% 9.96/1.67 ![X0]: (~member(q,comb)|~r=comb_app(comb_app(combS,X0),q)|~member(pair(p,X0),parcontract))),
% 9.96/1.67 inference(resolution,[status(thm)],[f97,f128])).
% 9.96/1.67 fof(f339,plain,(
% 9.96/1.67 ~spl0_9|spl0_10),
% 9.96/1.67 inference(split_clause,[status(thm)],[f338,f332,f335])).
% 9.96/1.67 fof(f372,plain,(
% 9.96/1.67 ![X0,X1,X2]: (member(X0,comb)|~ap_parcontractE_c1(X1,X0,X2))),
% 9.96/1.67 inference(resolution,[status(thm)],[f67,f109])).
% 9.96/1.67 fof(f400,plain,(
% 9.96/1.67 ![X0,X1,X2]: (member(X0,comb)|~ap_parcontractE_c1(X0,X1,X2))),
% 9.96/1.67 inference(resolution,[status(thm)],[f65,f109])).
% 9.96/1.67 fof(f405,plain,(
% 9.96/1.67 spl0_11 <=> ~member(X0,comb)|member(X0,comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f408,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(X0,comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f70,f65])).
% 9.96/1.67 fof(f409,plain,(
% 9.96/1.67 spl0_11|spl0_4),
% 9.96/1.67 inference(split_clause,[status(thm)],[f408,f405,f178])).
% 9.96/1.67 fof(f412,plain,(
% 9.96/1.67 spl0_12 <=> member(comb_app(comb_app(combS,combS),combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f415,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(comb_app(combS,combS),combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f161,f67])).
% 9.96/1.67 fof(f416,plain,(
% 9.96/1.67 spl0_4|spl0_12),
% 9.96/1.67 inference(split_clause,[status(thm)],[f415,f178,f412])).
% 9.96/1.67 fof(f420,plain,(
% 9.96/1.67 spl0_13 <=> member(comb_app(comb_app(combK,combS),combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f423,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(comb_app(combK,combS),combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f192,f67])).
% 9.96/1.67 fof(f424,plain,(
% 9.96/1.67 spl0_4|spl0_13),
% 9.96/1.67 inference(split_clause,[status(thm)],[f423,f178,f420])).
% 9.96/1.67 fof(f430,plain,(
% 9.96/1.67 spl0_14 <=> member(comb_app(comb_app(comb_app(combS,combS),combS),combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f433,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(comb_app(comb_app(combS,combS),combS),combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f166,f67])).
% 9.96/1.67 fof(f434,plain,(
% 9.96/1.67 spl0_4|spl0_14),
% 9.96/1.67 inference(split_clause,[status(thm)],[f433,f178,f430])).
% 9.96/1.67 fof(f437,plain,(
% 9.96/1.67 spl0_15 <=> ~member(X0,comb)|member(comb_app(X0,comb_app(combS,combS)),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f440,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,comb_app(combS,combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f187,f67])).
% 9.96/1.67 fof(f441,plain,(
% 9.96/1.67 spl0_15|spl0_4),
% 9.96/1.67 inference(split_clause,[status(thm)],[f440,f437,f178])).
% 9.96/1.67 fof(f444,plain,(
% 9.96/1.67 spl0_16 <=> ~member(X0,comb)|member(comb_app(X0,comb_app(combK,combS)),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f447,plain,(
% 9.96/1.67 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,comb_app(combK,combS)),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f200,f67])).
% 9.96/1.67 fof(f448,plain,(
% 9.96/1.67 spl0_16|spl0_4),
% 9.96/1.67 inference(split_clause,[status(thm)],[f447,f444,f178])).
% 9.96/1.67 fof(f449,plain,(
% 9.96/1.67 spl0_17 <=> member(comb_app(comb_app(comb_app(combK,combS),combS),combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f452,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(comb_app(comb_app(combK,combS),combS),combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f205,f67])).
% 9.96/1.67 fof(f453,plain,(
% 9.96/1.67 spl0_4|spl0_17),
% 9.96/1.67 inference(split_clause,[status(thm)],[f452,f178,f449])).
% 9.96/1.67 fof(f454,plain,(
% 9.96/1.67 spl0_18 <=> member(comb_app(comb_app(comb_app(comb_app(combS,combS),combS),combS),combS),comb)),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f457,plain,(
% 9.96/1.67 ![X0]: (~member(X0,comb)|member(comb_app(comb_app(comb_app(comb_app(combS,combS),combS),combS),combS),comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f171,f67])).
% 9.96/1.67 fof(f458,plain,(
% 9.96/1.67 spl0_4|spl0_18),
% 9.96/1.67 inference(split_clause,[status(thm)],[f457,f178,f454])).
% 9.96/1.67 fof(f459,plain,(
% 9.96/1.67 ![X0,X1]: (ap_contractE_c1(comb_app(combK,X0),X1,X0)|ap_contractE_c2(comb_app(combK,X0),X1,X0)|ap_contractE_c3(comb_app(combK,X0),X1,X0)|ap_contractE_c4(comb_app(combK,X0),X1,X0)|~member(X0,comb)|~member(X1,comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f74,f72])).
% 9.96/1.67 fof(f474,plain,(
% 9.96/1.67 spl0_23 <=> ap_parcontractE_c1(combS,combS,comb_app(combS,combS))),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f477,plain,(
% 9.96/1.67 spl0_24 <=> ap_parcontractE_c2(combS,combS,comb_app(combS,combS))),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f478,plain,(
% 9.96/1.67 ap_parcontractE_c2(combS,combS,comb_app(combS,combS))|~spl0_24),
% 9.96/1.67 inference(component_clause,[status(thm)],[f477])).
% 9.96/1.67 fof(f480,plain,(
% 9.96/1.67 spl0_25 <=> ap_parcontractE_c3(combS,combS,comb_app(combS,combS))),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f481,plain,(
% 9.96/1.67 ap_parcontractE_c3(combS,combS,comb_app(combS,combS))|~spl0_25),
% 9.96/1.67 inference(component_clause,[status(thm)],[f480])).
% 9.96/1.67 fof(f483,plain,(
% 9.96/1.67 spl0_26 <=> ap_parcontractE_c4(combS,combS,comb_app(combS,combS))),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f484,plain,(
% 9.96/1.67 ap_parcontractE_c4(combS,combS,comb_app(combS,combS))|~spl0_26),
% 9.96/1.67 inference(component_clause,[status(thm)],[f483])).
% 9.96/1.67 fof(f486,plain,(
% 9.96/1.67 ap_parcontractE_c1(combS,combS,comb_app(combS,combS))|ap_parcontractE_c2(combS,combS,comb_app(combS,combS))|ap_parcontractE_c3(combS,combS,comb_app(combS,combS))|ap_parcontractE_c4(combS,combS,comb_app(combS,combS))),
% 9.96/1.67 inference(resolution,[status(thm)],[f107,f157])).
% 9.96/1.67 fof(f487,plain,(
% 9.96/1.67 spl0_23|spl0_24|spl0_25|spl0_26),
% 9.96/1.67 inference(split_clause,[status(thm)],[f486,f474,f477,f480,f483])).
% 9.96/1.67 fof(f502,plain,(
% 9.96/1.67 ![X0,X1]: (ap_parcontractE_c1(comb_app(combK,X0),X1,X0)|ap_parcontractE_c2(comb_app(combK,X0),X1,X0)|ap_parcontractE_c3(comb_app(combK,X0),X1,X0)|ap_parcontractE_c4(comb_app(combK,X0),X1,X0)|~member(X0,comb)|~member(X1,comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f107,f98])).
% 9.96/1.67 fof(f503,plain,(
% 9.96/1.67 ![X0,X1,X2]: (ap_parcontractE_c1(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_parcontractE_c2(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_parcontractE_c3(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_parcontractE_c4(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|~member(X0,comb)|~member(X1,comb)|~member(X2,comb))),
% 9.96/1.67 inference(resolution,[status(thm)],[f107,f99])).
% 9.96/1.67 fof(f507,plain,(
% 9.96/1.67 spl0_32 <=> ap_parcontractE_c2(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS))),
% 9.96/1.67 introduced(split_symbol_definition)).
% 9.96/1.67 fof(f508,plain,(
% 9.96/1.67 ap_parcontractE_c2(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS))|~spl0_32),
% 9.96/1.68 inference(component_clause,[status(thm)],[f507])).
% 9.96/1.68 fof(f510,plain,(
% 9.96/1.68 spl0_33 <=> ap_parcontractE_c3(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f511,plain,(
% 9.96/1.68 ap_parcontractE_c3(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS))|~spl0_33),
% 9.96/1.68 inference(component_clause,[status(thm)],[f510])).
% 9.96/1.68 fof(f518,plain,(
% 9.96/1.68 spl0_35 <=> ap_parcontractE_c1(comb_app(combS,p),q,r)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f519,plain,(
% 9.96/1.68 ap_parcontractE_c1(comb_app(combS,p),q,r)|~spl0_35),
% 9.96/1.68 inference(component_clause,[status(thm)],[f518])).
% 9.96/1.68 fof(f521,plain,(
% 9.96/1.68 spl0_36 <=> ap_parcontractE_c2(comb_app(combS,p),q,r)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f522,plain,(
% 9.96/1.68 ap_parcontractE_c2(comb_app(combS,p),q,r)|~spl0_36),
% 9.96/1.68 inference(component_clause,[status(thm)],[f521])).
% 9.96/1.68 fof(f524,plain,(
% 9.96/1.68 spl0_37 <=> ap_parcontractE_c3(comb_app(combS,p),q,r)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f525,plain,(
% 9.96/1.68 ap_parcontractE_c3(comb_app(combS,p),q,r)|~spl0_37),
% 9.96/1.68 inference(component_clause,[status(thm)],[f524])).
% 9.96/1.68 fof(f527,plain,(
% 9.96/1.68 spl0_38 <=> ap_parcontractE_c4(comb_app(combS,p),q,r)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f528,plain,(
% 9.96/1.68 ap_parcontractE_c4(comb_app(combS,p),q,r)|~spl0_38),
% 9.96/1.68 inference(component_clause,[status(thm)],[f527])).
% 9.96/1.68 fof(f530,plain,(
% 9.96/1.68 ap_parcontractE_c1(comb_app(combS,p),q,r)|ap_parcontractE_c2(comb_app(combS,p),q,r)|ap_parcontractE_c3(comb_app(combS,p),q,r)|ap_parcontractE_c4(comb_app(combS,p),q,r)),
% 9.96/1.68 inference(resolution,[status(thm)],[f107,f126])).
% 9.96/1.68 fof(f531,plain,(
% 9.96/1.68 spl0_35|spl0_36|spl0_37|spl0_38),
% 9.96/1.68 inference(split_clause,[status(thm)],[f530,f518,f521,f524,f527])).
% 9.96/1.68 fof(f535,plain,(
% 9.96/1.68 ![X0,X1]: (ap_parcontractE_c1(X0,X1,comb_app(X0,X1))|ap_parcontractE_c2(X0,X1,comb_app(X0,X1))|ap_parcontractE_c3(X0,X1,comb_app(X0,X1))|ap_parcontractE_c4(X0,X1,comb_app(X0,X1))|~member(comb_app(X0,X1),comb))),
% 9.96/1.68 inference(resolution,[status(thm)],[f107,f97])).
% 9.96/1.68 fof(f537,plain,(
% 9.96/1.68 member(pair(q,ap_parcontractE_sk2s(comb_app(combS,p),q,r)),parcontract)|~spl0_38),
% 9.96/1.68 inference(resolution,[status(thm)],[f528,f124])).
% 9.96/1.68 fof(f538,plain,(
% 9.96/1.68 member(pair(comb_app(combS,p),ap_parcontractE_sk2q(comb_app(combS,p),q,r)),parcontract)|~spl0_38),
% 9.96/1.68 inference(resolution,[status(thm)],[f528,f123])).
% 9.96/1.68 fof(f545,plain,(
% 9.96/1.68 comb_app(combS,p)=comb_app(combK,r)|~spl0_36),
% 9.96/1.68 inference(resolution,[status(thm)],[f522,f116])).
% 9.96/1.68 fof(f546,plain,(
% 9.96/1.68 member(comb_app(combS,p),comb)|~spl0_35),
% 9.96/1.68 inference(resolution,[status(thm)],[f519,f400])).
% 9.96/1.68 fof(f547,plain,(
% 9.96/1.68 member(q,comb)|~spl0_35),
% 9.96/1.68 inference(resolution,[status(thm)],[f519,f372])).
% 9.96/1.68 fof(f548,plain,(
% 9.96/1.68 r=comb_app(comb_app(combS,p),q)|~spl0_35),
% 9.96/1.68 inference(resolution,[status(thm)],[f519,f110])).
% 9.96/1.68 fof(f552,plain,(
% 9.96/1.68 member(pair(combS,ap_parcontractE_sk2s(combS,combS,comb_app(combS,combS))),parcontract)|~spl0_26),
% 9.96/1.68 inference(resolution,[status(thm)],[f484,f124])).
% 9.96/1.68 fof(f554,plain,(
% 9.96/1.68 ![X0,X1,X2]: (~member(X0,comb)|~member(X1,comb)|~member(X2,comb)|ap_contractE_c1(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_contractE_c2(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_contractE_c3(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_contractE_c4(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2))))),
% 9.96/1.68 inference(resolution,[status(thm)],[f73,f74])).
% 9.96/1.68 fof(f556,plain,(
% 9.96/1.68 ![X0,X1]: (ap_contractE_c1(comb_app(combK,X0),X1,X0)|ap_contractE_c2(comb_app(combK,X0),X1,X0)|ap_contractE_c3(comb_app(combK,X0),X1,X0)|~member(X0,comb)|~member(X1,comb)|member(pair(X1,ap_contractE_sk3q(comb_app(combK,X0),X1,X0)),contract))),
% 9.96/1.68 inference(resolution,[status(thm)],[f459,f91])).
% 9.96/1.68 fof(f559,plain,(
% 9.96/1.68 ![X0,X1]: (ap_parcontractE_c1(comb_app(combK,X0),X1,X0)|ap_parcontractE_c2(comb_app(combK,X0),X1,X0)|ap_parcontractE_c3(comb_app(combK,X0),X1,X0)|~member(X0,comb)|~member(X1,comb)|member(pair(X1,ap_parcontractE_sk2s(comb_app(combK,X0),X1,X0)),parcontract))),
% 9.96/1.68 inference(resolution,[status(thm)],[f502,f124])).
% 9.96/1.68 fof(f562,plain,(
% 9.96/1.68 ![X0,X1,X2]: (ap_parcontractE_c1(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_parcontractE_c2(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_parcontractE_c3(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|~member(X0,comb)|~member(X1,comb)|~member(X2,comb)|member(pair(X2,ap_parcontractE_sk2s(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))),parcontract))),
% 9.96/1.68 inference(resolution,[status(thm)],[f503,f124])).
% 9.96/1.68 fof(f568,plain,(
% 9.96/1.68 ![X0,X1]: (ap_parcontractE_c1(X0,X1,comb_app(X0,X1))|ap_parcontractE_c2(X0,X1,comb_app(X0,X1))|ap_parcontractE_c3(X0,X1,comb_app(X0,X1))|~member(comb_app(X0,X1),comb)|member(pair(X1,ap_parcontractE_sk2s(X0,X1,comb_app(X0,X1))),parcontract))),
% 9.96/1.68 inference(resolution,[status(thm)],[f535,f124])).
% 9.96/1.68 fof(f570,plain,(
% 9.96/1.68 spl0_39 <=> r=comb_app(comb_app(combS,p),q)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f572,plain,(
% 9.96/1.68 ~r=comb_app(comb_app(combS,p),q)|spl0_39),
% 9.96/1.68 inference(component_clause,[status(thm)],[f570])).
% 9.96/1.68 fof(f573,plain,(
% 9.96/1.68 spl0_40 <=> member(p,comb)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f575,plain,(
% 9.96/1.68 ~member(p,comb)|spl0_40),
% 9.96/1.68 inference(component_clause,[status(thm)],[f573])).
% 9.96/1.68 fof(f576,plain,(
% 9.96/1.68 ~r=comb_app(comb_app(combS,p),q)|~member(p,comb)|~spl0_10),
% 9.96/1.68 inference(resolution,[status(thm)],[f336,f97])).
% 9.96/1.68 fof(f577,plain,(
% 9.96/1.68 ~spl0_39|~spl0_40|~spl0_10),
% 9.96/1.68 inference(split_clause,[status(thm)],[f576,f570,f573,f335])).
% 9.96/1.68 fof(f579,plain,(
% 9.96/1.68 ![X0,X1,X2]: (~member(X0,comb)|~member(X1,comb)|~member(X2,comb)|ap_contractE_c1(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_contractE_c2(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|ap_contractE_c3(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))|member(pair(X2,ap_contractE_sk3q(comb_app(comb_app(combS,X0),X1),X2,comb_app(comb_app(X0,X2),comb_app(X1,X2)))),contract))),
% 9.96/1.68 inference(resolution,[status(thm)],[f554,f91])).
% 9.96/1.68 fof(f674,plain,(
% 9.96/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,combS,comb_app(combS,combS))),ap_parcontractE_sk1q(combS,combS,comb_app(combS,combS)))|~spl0_25),
% 9.96/1.68 inference(resolution,[status(thm)],[f481,f122])).
% 9.96/1.68 fof(f675,plain,(
% 9.96/1.68 $false|~spl0_25),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f674,f58])).
% 9.96/1.68 fof(f676,plain,(
% 9.96/1.68 ~spl0_25),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f675])).
% 9.96/1.68 fof(f678,plain,(
% 9.96/1.68 combS=comb_app(combK,comb_app(combS,combS))|~spl0_24),
% 9.96/1.68 inference(resolution,[status(thm)],[f478,f116])).
% 9.96/1.68 fof(f679,plain,(
% 9.96/1.68 $false|~spl0_24),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f678,f58])).
% 9.96/1.68 fof(f680,plain,(
% 9.96/1.68 ~spl0_24),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f679])).
% 9.96/1.68 fof(f691,plain,(
% 9.96/1.68 combS=combK|~spl0_36),
% 9.96/1.68 inference(resolution,[status(thm)],[f545,f60])).
% 9.96/1.68 fof(f692,plain,(
% 9.96/1.68 $false|~spl0_36),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f691,f56])).
% 9.96/1.68 fof(f693,plain,(
% 9.96/1.68 ~spl0_36),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f692])).
% 9.96/1.68 fof(f695,plain,(
% 9.96/1.68 member(p,comb)|~spl0_35),
% 9.96/1.68 inference(resolution,[status(thm)],[f546,f67])).
% 9.96/1.68 fof(f696,plain,(
% 9.96/1.68 $false|spl0_40|~spl0_35),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f695,f575])).
% 9.96/1.68 fof(f697,plain,(
% 9.96/1.68 spl0_40|~spl0_35),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f696])).
% 9.96/1.68 fof(f698,plain,(
% 9.96/1.68 r=comb_app(ap_parcontractE_sk2q(comb_app(combS,p),q,r),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|~spl0_38),
% 9.96/1.68 inference(resolution,[status(thm)],[f528,f125])).
% 9.96/1.68 fof(f708,plain,(
% 9.96/1.68 comb_app(combS,combS)=comb_app(comb_app(combS,ap_parcontractE_sk1p(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS))),ap_parcontractE_sk1q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))|~spl0_33),
% 9.96/1.68 inference(resolution,[status(thm)],[f511,f122])).
% 9.96/1.68 fof(f711,plain,(
% 9.96/1.68 comb_app(combS,combS)=comb_app(combK,comb_app(comb_app(combS,combS),combS))|~spl0_32),
% 9.96/1.68 inference(resolution,[status(thm)],[f508,f116])).
% 9.96/1.68 fof(f713,plain,(
% 9.96/1.68 ap_parcontractE_sk2s(combS,combS,comb_app(combS,combS))=combS|~spl0_26),
% 9.96/1.68 inference(resolution,[status(thm)],[f552,f106])).
% 9.96/1.68 fof(f717,plain,(
% 9.96/1.68 ![X0]: (~r=comb_app(comb_app(combS,X0),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|~member(pair(p,X0),parcontract)|~spl0_38)),
% 9.96/1.68 inference(resolution,[status(thm)],[f537,f128])).
% 9.96/1.68 fof(f718,plain,(
% 9.96/1.68 spl0_58 <=> r=comb_app(comb_app(combS,p),ap_parcontractE_sk2s(comb_app(combS,p),q,r))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f720,plain,(
% 9.96/1.68 ~r=comb_app(comb_app(combS,p),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|spl0_58),
% 9.96/1.68 inference(component_clause,[status(thm)],[f718])).
% 9.96/1.68 fof(f721,plain,(
% 9.96/1.68 ~r=comb_app(comb_app(combS,p),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|~member(p,comb)|~spl0_38),
% 9.96/1.68 inference(resolution,[status(thm)],[f717,f97])).
% 9.96/1.68 fof(f722,plain,(
% 9.96/1.68 ~spl0_58|~spl0_40|~spl0_38),
% 9.96/1.68 inference(split_clause,[status(thm)],[f721,f718,f573,f527])).
% 9.96/1.68 fof(f723,plain,(
% 9.96/1.68 combS=comb_app(comb_app(combS,combS),combS)|~spl0_32),
% 9.96/1.68 inference(resolution,[status(thm)],[f711,f62])).
% 9.96/1.68 fof(f724,plain,(
% 9.96/1.68 $false|~spl0_32),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f723,f58])).
% 9.96/1.68 fof(f725,plain,(
% 9.96/1.68 ~spl0_32),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f724])).
% 9.96/1.68 fof(f726,plain,(
% 9.96/1.68 spl0_59 <=> ap_parcontractE_c1(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f727,plain,(
% 9.96/1.68 ap_parcontractE_c1(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_59),
% 9.96/1.68 inference(component_clause,[status(thm)],[f726])).
% 9.96/1.68 fof(f729,plain,(
% 9.96/1.68 spl0_60 <=> ap_parcontractE_c2(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f730,plain,(
% 9.96/1.68 ap_parcontractE_c2(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_60),
% 9.96/1.68 inference(component_clause,[status(thm)],[f729])).
% 9.96/1.68 fof(f732,plain,(
% 9.96/1.68 spl0_61 <=> ap_parcontractE_c3(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f733,plain,(
% 9.96/1.68 ap_parcontractE_c3(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_61),
% 9.96/1.68 inference(component_clause,[status(thm)],[f732])).
% 9.96/1.68 fof(f735,plain,(
% 9.96/1.68 spl0_62 <=> ap_parcontractE_c4(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f736,plain,(
% 9.96/1.68 ap_parcontractE_c4(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_62),
% 9.96/1.68 inference(component_clause,[status(thm)],[f735])).
% 9.96/1.68 fof(f738,plain,(
% 9.96/1.68 ap_parcontractE_c1(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|ap_parcontractE_c2(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|ap_parcontractE_c3(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|ap_parcontractE_c4(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_38),
% 9.96/1.68 inference(resolution,[status(thm)],[f538,f107])).
% 9.96/1.68 fof(f739,plain,(
% 9.96/1.68 spl0_59|spl0_60|spl0_61|spl0_62|~spl0_38),
% 9.96/1.68 inference(split_clause,[status(thm)],[f738,f726,f729,f732,f735,f527])).
% 9.96/1.68 fof(f748,plain,(
% 9.96/1.68 spl0_64 <=> ap_parcontractE_c1(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_parcontractE_c2(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_parcontractE_c3(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|~member(X0,comb)|~member(X1,comb)|ap_parcontractE_sk2s(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))=combK),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f751,plain,(
% 9.96/1.68 ![X0,X1]: (ap_parcontractE_c1(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_parcontractE_c2(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_parcontractE_c3(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|~member(X0,comb)|~member(X1,comb)|~member(combK,comb)|ap_parcontractE_sk2s(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))=combK)),
% 9.96/1.68 inference(resolution,[status(thm)],[f562,f103])).
% 9.96/1.68 fof(f752,plain,(
% 9.96/1.68 spl0_64|~spl0_1),
% 9.96/1.68 inference(split_clause,[status(thm)],[f751,f748,f132])).
% 9.96/1.68 fof(f753,plain,(
% 9.96/1.68 spl0_65 <=> ap_parcontractE_c1(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_parcontractE_c2(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_parcontractE_c3(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|~member(X0,comb)|~member(X1,comb)|ap_parcontractE_sk2s(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))=combS),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f756,plain,(
% 9.96/1.68 ![X0,X1]: (ap_parcontractE_c1(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_parcontractE_c2(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_parcontractE_c3(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|~member(X0,comb)|~member(X1,comb)|~member(combS,comb)|ap_parcontractE_sk2s(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))=combS)),
% 9.96/1.68 inference(resolution,[status(thm)],[f562,f106])).
% 9.96/1.68 fof(f757,plain,(
% 9.96/1.68 spl0_65|~spl0_3),
% 9.96/1.68 inference(split_clause,[status(thm)],[f756,f753,f139])).
% 9.96/1.68 fof(f815,plain,(
% 9.96/1.68 ap_parcontractE_sk2q(comb_app(combS,p),q,r)=comb_app(ap_parcontractE_sk2q(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r)),ap_parcontractE_sk2s(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r)))|~spl0_62),
% 9.96/1.68 inference(resolution,[status(thm)],[f736,f125])).
% 9.96/1.68 fof(f816,plain,(
% 9.96/1.68 member(pair(p,ap_parcontractE_sk2s(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),parcontract)|~spl0_62),
% 9.96/1.68 inference(resolution,[status(thm)],[f736,f124])).
% 9.96/1.68 fof(f817,plain,(
% 9.96/1.68 member(pair(combS,ap_parcontractE_sk2q(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),parcontract)|~spl0_62),
% 9.96/1.68 inference(resolution,[status(thm)],[f736,f123])).
% 9.96/1.68 fof(f821,plain,(
% 9.96/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),ap_parcontractE_sk1q(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r)))|~spl0_61),
% 9.96/1.68 inference(resolution,[status(thm)],[f733,f122])).
% 9.96/1.68 fof(f822,plain,(
% 9.96/1.68 $false|~spl0_61),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f821,f58])).
% 9.96/1.68 fof(f823,plain,(
% 9.96/1.68 ~spl0_61),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f822])).
% 9.96/1.68 fof(f834,plain,(
% 9.96/1.68 spl0_75 <=> member(pair(combS,combS),parcontract)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f839,plain,(
% 9.96/1.68 combS=comb_app(combK,ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_60),
% 9.96/1.68 inference(resolution,[status(thm)],[f730,f116])).
% 9.96/1.68 fof(f840,plain,(
% 9.96/1.68 $false|~spl0_60),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f839,f58])).
% 9.96/1.68 fof(f841,plain,(
% 9.96/1.68 ~spl0_60),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f840])).
% 9.96/1.68 fof(f843,plain,(
% 9.96/1.68 ap_parcontractE_sk2q(comb_app(combS,p),q,r)=comb_app(combS,p)|~spl0_59),
% 9.96/1.68 inference(resolution,[status(thm)],[f727,f110])).
% 9.96/1.68 fof(f844,plain,(
% 9.96/1.68 ap_parcontractE_c1(combS,p,comb_app(combS,p))|~spl0_59),
% 9.96/1.68 inference(backward_demodulation,[status(thm)],[f843,f727])).
% 9.96/1.68 fof(f854,plain,(
% 9.96/1.68 spl0_76 <=> ap_parcontractE_c1(combS,p,comb_app(combS,p))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f855,plain,(
% 9.96/1.68 ap_parcontractE_c1(combS,p,comb_app(combS,p))|~spl0_76),
% 9.96/1.68 inference(component_clause,[status(thm)],[f854])).
% 9.96/1.68 fof(f856,plain,(
% 9.96/1.68 ~ap_parcontractE_c1(combS,p,comb_app(combS,p))|spl0_76),
% 9.96/1.68 inference(component_clause,[status(thm)],[f854])).
% 9.96/1.68 fof(f857,plain,(
% 9.96/1.68 spl0_77 <=> ap_parcontractE_c2(combS,p,comb_app(combS,p))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f858,plain,(
% 9.96/1.68 ap_parcontractE_c2(combS,p,comb_app(combS,p))|~spl0_77),
% 9.96/1.68 inference(component_clause,[status(thm)],[f857])).
% 9.96/1.68 fof(f860,plain,(
% 9.96/1.68 spl0_78 <=> ap_parcontractE_c3(combS,p,comb_app(combS,p))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f861,plain,(
% 9.96/1.68 ap_parcontractE_c3(combS,p,comb_app(combS,p))|~spl0_78),
% 9.96/1.68 inference(component_clause,[status(thm)],[f860])).
% 9.96/1.68 fof(f872,plain,(
% 9.96/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,comb_app(combS,p))),ap_parcontractE_sk1q(combS,p,comb_app(combS,p)))|~spl0_78),
% 9.96/1.68 inference(resolution,[status(thm)],[f861,f122])).
% 9.96/1.68 fof(f873,plain,(
% 9.96/1.68 $false|~spl0_78),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f872,f58])).
% 9.96/1.68 fof(f874,plain,(
% 9.96/1.68 ~spl0_78),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f873])).
% 9.96/1.68 fof(f876,plain,(
% 9.96/1.68 combS=comb_app(combK,comb_app(combS,p))|~spl0_77),
% 9.96/1.68 inference(resolution,[status(thm)],[f858,f116])).
% 9.96/1.68 fof(f877,plain,(
% 9.96/1.68 $false|~spl0_77),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f876,f58])).
% 9.96/1.68 fof(f878,plain,(
% 9.96/1.68 ~spl0_77),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f877])).
% 9.96/1.68 fof(f888,plain,(
% 9.96/1.68 ~r=comb_app(comb_app(combS,ap_parcontractE_sk2s(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|~spl0_62|~spl0_38),
% 9.96/1.68 inference(resolution,[status(thm)],[f816,f717])).
% 9.96/1.68 fof(f889,plain,(
% 9.96/1.68 ap_parcontractE_sk2q(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r))=combS|~spl0_62),
% 9.96/1.68 inference(resolution,[status(thm)],[f817,f106])).
% 9.96/1.68 fof(f895,plain,(
% 9.96/1.68 spl0_80 <=> r=r),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f897,plain,(
% 9.96/1.68 ~r=r|spl0_80),
% 9.96/1.68 inference(component_clause,[status(thm)],[f895])).
% 9.96/1.68 fof(f988,plain,(
% 9.96/1.68 $false|spl0_80),
% 9.96/1.68 inference(trivial_equality_resolution,[status(esa)],[f897])).
% 9.96/1.68 fof(f989,plain,(
% 9.96/1.68 spl0_80),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f988])).
% 9.96/1.68 fof(f990,plain,(
% 9.96/1.68 spl0_9|~spl0_35),
% 9.96/1.68 inference(split_clause,[status(thm)],[f547,f332,f518])).
% 9.96/1.68 fof(f991,plain,(
% 9.96/1.68 $false|spl0_39|~spl0_35),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f548,f572])).
% 9.96/1.68 fof(f992,plain,(
% 9.96/1.68 spl0_39|~spl0_35),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f991])).
% 9.96/1.68 fof(f993,plain,(
% 9.96/1.68 comb_app(combS,p)=comb_app(comb_app(combS,ap_parcontractE_sk1p(comb_app(combS,p),q,r)),ap_parcontractE_sk1q(comb_app(combS,p),q,r))|~spl0_37),
% 9.96/1.68 inference(resolution,[status(thm)],[f525,f122])).
% 9.96/1.68 fof(f1008,plain,(
% 9.96/1.68 spl0_91 <=> ap_parcontractE_c2(combS,combS,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1009,plain,(
% 9.96/1.68 ap_parcontractE_c2(combS,combS,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))|~spl0_91),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1008])).
% 9.96/1.68 fof(f1011,plain,(
% 9.96/1.68 spl0_92 <=> ap_parcontractE_c3(combS,combS,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1012,plain,(
% 9.96/1.68 ap_parcontractE_c3(combS,combS,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))|~spl0_92),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1011])).
% 9.96/1.68 fof(f1024,plain,(
% 9.96/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,combS,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))),ap_parcontractE_sk1q(combS,combS,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS))))|~spl0_92),
% 9.96/1.68 inference(resolution,[status(thm)],[f1012,f122])).
% 9.96/1.68 fof(f1025,plain,(
% 9.96/1.68 $false|~spl0_92),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1024,f58])).
% 9.96/1.68 fof(f1026,plain,(
% 9.96/1.68 ~spl0_92),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1025])).
% 9.96/1.68 fof(f1029,plain,(
% 9.96/1.68 combS=comb_app(combK,ap_parcontractE_sk2q(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))|~spl0_91),
% 9.96/1.68 inference(resolution,[status(thm)],[f1009,f116])).
% 9.96/1.68 fof(f1030,plain,(
% 9.96/1.68 $false|~spl0_91),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1029,f58])).
% 9.96/1.68 fof(f1031,plain,(
% 9.96/1.68 ~spl0_91),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1030])).
% 9.96/1.68 fof(f1154,plain,(
% 9.96/1.68 spl0_116 <=> ap_parcontractE_c2(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p))))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1155,plain,(
% 9.96/1.68 ap_parcontractE_c2(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p))))|~spl0_116),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1154])).
% 9.96/1.68 fof(f1157,plain,(
% 9.96/1.68 spl0_117 <=> ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p))))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1158,plain,(
% 9.96/1.68 ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p))))|~spl0_117),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1157])).
% 9.96/1.68 fof(f1240,plain,(
% 9.96/1.68 member(p,comb)|~spl0_76),
% 9.96/1.68 inference(resolution,[status(thm)],[f855,f372])).
% 9.96/1.68 fof(f1241,plain,(
% 9.96/1.68 spl0_40|~spl0_76),
% 9.96/1.68 inference(split_clause,[status(thm)],[f1240,f573,f854])).
% 9.96/1.68 fof(f1252,plain,(
% 9.96/1.68 spl0_130 <=> ap_parcontractE_c2(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1253,plain,(
% 9.96/1.68 ap_parcontractE_c2(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p))|~spl0_130),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1252])).
% 9.96/1.68 fof(f1255,plain,(
% 9.96/1.68 spl0_131 <=> ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p))),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1256,plain,(
% 9.96/1.68 ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p))|~spl0_131),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1255])).
% 9.96/1.68 fof(f1273,plain,(
% 9.96/1.68 ap_parcontractE_c1(combS,combS,comb_app(combS,combS))|ap_parcontractE_c2(combS,combS,comb_app(combS,combS))|ap_parcontractE_c3(combS,combS,comb_app(combS,combS))|~member(comb_app(combS,combS),comb)|member(pair(combS,combS),parcontract)|~spl0_26),
% 9.96/1.68 inference(paramodulation,[status(thm)],[f713,f568])).
% 9.96/1.68 fof(f1274,plain,(
% 9.96/1.68 spl0_23|spl0_24|spl0_25|~spl0_5|spl0_75|~spl0_26),
% 9.96/1.68 inference(split_clause,[status(thm)],[f1273,f474,f477,f480,f181,f834,f483])).
% 9.96/1.68 fof(f1288,plain,(
% 9.96/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p))))),ap_parcontractE_sk1q(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)))))|~spl0_117),
% 9.96/1.68 inference(resolution,[status(thm)],[f1158,f122])).
% 9.96/1.68 fof(f1289,plain,(
% 9.96/1.68 $false|~spl0_117),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1288,f58])).
% 9.96/1.68 fof(f1290,plain,(
% 9.96/1.68 ~spl0_117),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1289])).
% 9.96/1.68 fof(f1293,plain,(
% 9.96/1.68 combS=comb_app(combK,comb_app(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p))))|~spl0_116),
% 9.96/1.68 inference(resolution,[status(thm)],[f1155,f116])).
% 9.96/1.68 fof(f1294,plain,(
% 9.96/1.68 $false|~spl0_116),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1293,f58])).
% 9.96/1.68 fof(f1295,plain,(
% 9.96/1.68 ~spl0_116),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1294])).
% 9.96/1.68 fof(f1305,plain,(
% 9.96/1.68 combS=comb_app(combS,ap_parcontractE_sk1p(comb_app(combS,p),q,r))|~spl0_37),
% 9.96/1.68 inference(resolution,[status(thm)],[f993,f60])).
% 9.96/1.68 fof(f1306,plain,(
% 9.96/1.68 $false|~spl0_37),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1305,f58])).
% 9.96/1.68 fof(f1307,plain,(
% 9.96/1.68 ~spl0_37),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1306])).
% 9.96/1.68 fof(f1410,plain,(
% 9.96/1.68 ap_parcontractE_sk2q(comb_app(combS,p),q,r)=comb_app(combS,ap_parcontractE_sk2s(combS,p,ap_parcontractE_sk2q(comb_app(combS,p),q,r)))|~spl0_62),
% 9.96/1.68 inference(forward_demodulation,[status(thm)],[f889,f815])).
% 9.96/1.68 fof(f1647,plain,(
% 9.96/1.68 $false|~spl0_59|spl0_76),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f856,f844])).
% 9.96/1.68 fof(f1648,plain,(
% 9.96/1.68 ~spl0_59|spl0_76),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1647])).
% 9.96/1.68 fof(f1649,plain,(
% 9.96/1.68 spl0_176 <=> ap_parcontractE_c1(combS,p,combS)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1650,plain,(
% 9.96/1.68 ap_parcontractE_c1(combS,p,combS)|~spl0_176),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1649])).
% 9.96/1.68 fof(f1652,plain,(
% 9.96/1.68 spl0_177 <=> ap_parcontractE_c2(combS,p,combS)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1653,plain,(
% 9.96/1.68 ap_parcontractE_c2(combS,p,combS)|~spl0_177),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1652])).
% 9.96/1.68 fof(f1655,plain,(
% 9.96/1.68 spl0_178 <=> ap_parcontractE_c3(combS,p,combS)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1656,plain,(
% 9.96/1.68 ap_parcontractE_c3(combS,p,combS)|~spl0_178),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1655])).
% 9.96/1.68 fof(f1658,plain,(
% 9.96/1.68 spl0_179 <=> ap_parcontractE_c4(combS,p,combS)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1659,plain,(
% 9.96/1.68 ap_parcontractE_c4(combS,p,combS)|~spl0_179),
% 9.96/1.68 inference(component_clause,[status(thm)],[f1658])).
% 9.96/1.68 fof(f1663,plain,(
% 9.96/1.68 combS=comb_app(ap_parcontractE_sk2q(combS,p,combS),ap_parcontractE_sk2s(combS,p,combS))|~spl0_179),
% 9.96/1.68 inference(resolution,[status(thm)],[f1659,f125])).
% 9.96/1.68 fof(f1664,plain,(
% 9.96/1.68 $false|~spl0_179),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1663,f58])).
% 9.96/1.68 fof(f1665,plain,(
% 9.96/1.68 ~spl0_179),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1664])).
% 9.96/1.68 fof(f1666,plain,(
% 9.96/1.68 combS=comb_app(comb_app(ap_parcontractE_sk1p(combS,p,combS),p),comb_app(ap_parcontractE_sk1q(combS,p,combS),p))|~spl0_178),
% 9.96/1.68 inference(resolution,[status(thm)],[f1656,f121])).
% 9.96/1.68 fof(f1667,plain,(
% 9.96/1.68 $false|~spl0_178),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1666,f58])).
% 9.96/1.68 fof(f1668,plain,(
% 9.96/1.68 ~spl0_178),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1667])).
% 9.96/1.68 fof(f1671,plain,(
% 9.96/1.68 combS=comb_app(combK,combS)|~spl0_177),
% 9.96/1.68 inference(resolution,[status(thm)],[f1653,f116])).
% 9.96/1.68 fof(f1672,plain,(
% 9.96/1.68 $false|~spl0_177),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1671,f58])).
% 9.96/1.68 fof(f1673,plain,(
% 9.96/1.68 ~spl0_177),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1672])).
% 9.96/1.68 fof(f1676,plain,(
% 9.96/1.68 combS=comb_app(combS,p)|~spl0_176),
% 9.96/1.68 inference(resolution,[status(thm)],[f1650,f110])).
% 9.96/1.68 fof(f1677,plain,(
% 9.96/1.68 $false|~spl0_176),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1676,f58])).
% 9.96/1.68 fof(f1678,plain,(
% 9.96/1.68 ~spl0_176),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1677])).
% 9.96/1.68 fof(f1688,plain,(
% 9.96/1.68 r=comb_app(comb_app(combS,p),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|~spl0_59|~spl0_38),
% 9.96/1.68 inference(forward_demodulation,[status(thm)],[f843,f698])).
% 9.96/1.68 fof(f1689,plain,(
% 9.96/1.68 $false|spl0_58|~spl0_59|~spl0_38),
% 9.96/1.68 inference(forward_subsumption_resolution,[status(thm)],[f1688,f720])).
% 9.96/1.68 fof(f1690,plain,(
% 9.96/1.68 spl0_58|~spl0_59|~spl0_38),
% 9.96/1.68 inference(contradiction_clause,[status(thm)],[f1689])).
% 9.96/1.68 fof(f1703,plain,(
% 9.96/1.68 spl0_180 <=> ap_contractE_c1(comb_app(combK,X0),combK,X0)|ap_contractE_c2(comb_app(combK,X0),combK,X0)|ap_contractE_c3(comb_app(combK,X0),combK,X0)|~member(X0,comb)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1706,plain,(
% 9.96/1.68 ![X0]: (ap_contractE_c1(comb_app(combK,X0),combK,X0)|ap_contractE_c2(comb_app(combK,X0),combK,X0)|ap_contractE_c3(comb_app(combK,X0),combK,X0)|~member(X0,comb)|~member(combK,comb))),
% 9.96/1.68 inference(resolution,[status(thm)],[f556,f95])).
% 9.96/1.68 fof(f1707,plain,(
% 9.96/1.68 spl0_180|~spl0_1),
% 9.96/1.68 inference(split_clause,[status(thm)],[f1706,f1703,f132])).
% 9.96/1.68 fof(f1708,plain,(
% 9.96/1.68 spl0_181 <=> ap_contractE_c1(comb_app(combK,X0),combS,X0)|ap_contractE_c2(comb_app(combK,X0),combS,X0)|ap_contractE_c3(comb_app(combK,X0),combS,X0)|~member(X0,comb)),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1711,plain,(
% 9.96/1.68 ![X0]: (ap_contractE_c1(comb_app(combK,X0),combS,X0)|ap_contractE_c2(comb_app(combK,X0),combS,X0)|ap_contractE_c3(comb_app(combK,X0),combS,X0)|~member(X0,comb)|~member(combS,comb))),
% 9.96/1.68 inference(resolution,[status(thm)],[f556,f96])).
% 9.96/1.68 fof(f1712,plain,(
% 9.96/1.68 spl0_181|~spl0_3),
% 9.96/1.68 inference(split_clause,[status(thm)],[f1711,f1708,f139])).
% 9.96/1.68 fof(f1718,plain,(
% 9.96/1.68 spl0_182 <=> ap_parcontractE_c1(comb_app(combK,X0),combK,X0)|ap_parcontractE_c2(comb_app(combK,X0),combK,X0)|ap_parcontractE_c3(comb_app(combK,X0),combK,X0)|~member(X0,comb)|ap_parcontractE_sk2s(comb_app(combK,X0),combK,X0)=combK),
% 9.96/1.68 introduced(split_symbol_definition)).
% 9.96/1.68 fof(f1721,plain,(
% 9.96/1.68 ![X0]: (ap_parcontractE_c1(comb_app(combK,X0),combK,X0)|ap_parcontractE_c2(comb_app(combK,X0),combK,X0)|ap_parcontractE_c3(comb_app(combK,X0),combK,X0)|~member(X0,comb)|~member(combK,comb)|ap_parcontractE_sk2s(comb_app(combK,X0),combK,X0)=combK)),
% 9.96/1.68 inference(resolution,[status(thm)],[f559,f103])).
% 9.96/1.68 fof(f1722,plain,(
% 9.96/1.68 spl0_182|~spl0_1),
% 9.96/1.68 inference(split_clause,[status(thm)],[f1721,f1718,f132])).
% 9.96/1.68 fof(f1723,plain,(
% 9.96/1.68 spl0_183 <=> ap_parcontractE_c1(comb_app(combK,X0),combS,X0)|ap_parcontractE_c2(comb_app(combK,X0),combS,X0)|ap_parcontractE_c3(comb_app(combK,X0),combS,X0)|~member(X0,comb)|ap_parcontractE_sk2s(comb_app(combK,X0),combS,X0)=combS),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f1726,plain,(
% 10.42/1.68 ![X0]: (ap_parcontractE_c1(comb_app(combK,X0),combS,X0)|ap_parcontractE_c2(comb_app(combK,X0),combS,X0)|ap_parcontractE_c3(comb_app(combK,X0),combS,X0)|~member(X0,comb)|~member(combS,comb)|ap_parcontractE_sk2s(comb_app(combK,X0),combS,X0)=combS)),
% 10.42/1.68 inference(resolution,[status(thm)],[f559,f106])).
% 10.42/1.68 fof(f1727,plain,(
% 10.42/1.68 spl0_183|~spl0_3),
% 10.42/1.68 inference(split_clause,[status(thm)],[f1726,f1723,f139])).
% 10.42/1.68 fof(f1737,plain,(
% 10.42/1.68 spl0_185 <=> ~member(X0,comb)|~member(X1,comb)|ap_contractE_c1(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_contractE_c2(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_contractE_c3(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f1740,plain,(
% 10.42/1.68 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|~member(combK,comb)|ap_contractE_c1(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_contractE_c2(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK)))|ap_contractE_c3(comb_app(comb_app(combS,X0),X1),combK,comb_app(comb_app(X0,combK),comb_app(X1,combK))))),
% 10.42/1.68 inference(resolution,[status(thm)],[f579,f95])).
% 10.42/1.68 fof(f1741,plain,(
% 10.42/1.68 spl0_185|~spl0_1),
% 10.42/1.68 inference(split_clause,[status(thm)],[f1740,f1737,f132])).
% 10.42/1.68 fof(f1742,plain,(
% 10.42/1.68 spl0_186 <=> ~member(X0,comb)|~member(X1,comb)|ap_contractE_c1(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_contractE_c2(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_contractE_c3(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f1745,plain,(
% 10.42/1.68 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|~member(combS,comb)|ap_contractE_c1(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_contractE_c2(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS)))|ap_contractE_c3(comb_app(comb_app(combS,X0),X1),combS,comb_app(comb_app(X0,combS),comb_app(X1,combS))))),
% 10.42/1.68 inference(resolution,[status(thm)],[f579,f96])).
% 10.42/1.68 fof(f1746,plain,(
% 10.42/1.68 spl0_186|~spl0_3),
% 10.42/1.68 inference(split_clause,[status(thm)],[f1745,f1742,f139])).
% 10.42/1.68 fof(f2833,plain,(
% 10.42/1.68 spl0_221 <=> ap_parcontractE_c1(combS,p,comb_app(combK,r))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f2834,plain,(
% 10.42/1.68 ap_parcontractE_c1(combS,p,comb_app(combK,r))|~spl0_221),
% 10.42/1.68 inference(component_clause,[status(thm)],[f2833])).
% 10.42/1.68 fof(f2836,plain,(
% 10.42/1.68 spl0_222 <=> ap_parcontractE_c2(combS,p,comb_app(combK,r))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f2837,plain,(
% 10.42/1.68 ap_parcontractE_c2(combS,p,comb_app(combK,r))|~spl0_222),
% 10.42/1.68 inference(component_clause,[status(thm)],[f2836])).
% 10.42/1.68 fof(f2839,plain,(
% 10.42/1.68 spl0_223 <=> ap_parcontractE_c3(combS,p,comb_app(combK,r))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f2840,plain,(
% 10.42/1.68 ap_parcontractE_c3(combS,p,comb_app(combK,r))|~spl0_223),
% 10.42/1.68 inference(component_clause,[status(thm)],[f2839])).
% 10.42/1.68 fof(f2855,plain,(
% 10.42/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,comb_app(combK,r))),ap_parcontractE_sk1q(combS,p,comb_app(combK,r)))|~spl0_223),
% 10.42/1.68 inference(resolution,[status(thm)],[f2840,f122])).
% 10.42/1.68 fof(f2856,plain,(
% 10.42/1.68 $false|~spl0_223),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f2855,f58])).
% 10.42/1.68 fof(f2857,plain,(
% 10.42/1.68 ~spl0_223),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f2856])).
% 10.42/1.68 fof(f2859,plain,(
% 10.42/1.68 combS=comb_app(combK,comb_app(combK,r))|~spl0_222),
% 10.42/1.68 inference(resolution,[status(thm)],[f2837,f116])).
% 10.42/1.68 fof(f2860,plain,(
% 10.42/1.68 $false|~spl0_222),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f2859,f58])).
% 10.42/1.68 fof(f2861,plain,(
% 10.42/1.68 ~spl0_222),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f2860])).
% 10.42/1.68 fof(f2865,plain,(
% 10.42/1.68 comb_app(combK,r)=comb_app(combS,p)|~spl0_221),
% 10.42/1.68 inference(resolution,[status(thm)],[f2834,f110])).
% 10.42/1.68 fof(f2919,plain,(
% 10.42/1.68 combK=combS|~spl0_221),
% 10.42/1.68 inference(resolution,[status(thm)],[f2865,f60])).
% 10.42/1.68 fof(f2920,plain,(
% 10.42/1.68 $false|~spl0_221),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f2919,f56])).
% 10.42/1.68 fof(f2921,plain,(
% 10.42/1.68 ~spl0_221),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f2920])).
% 10.42/1.68 fof(f3169,plain,(
% 10.42/1.68 combS=comb_app(combS,ap_parcontractE_sk1p(comb_app(combS,combS),combS,comb_app(comb_app(combS,combS),combS)))|~spl0_33),
% 10.42/1.68 inference(resolution,[status(thm)],[f708,f60])).
% 10.42/1.68 fof(f3170,plain,(
% 10.42/1.68 $false|~spl0_33),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f3169,f58])).
% 10.42/1.68 fof(f3171,plain,(
% 10.42/1.68 ~spl0_33),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f3170])).
% 10.42/1.68 fof(f3316,plain,(
% 10.42/1.68 spl0_257 <=> ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p)),comb_app(combS,p))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f3317,plain,(
% 10.42/1.68 ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p)),comb_app(combS,p))|~spl0_257),
% 10.42/1.68 inference(component_clause,[status(thm)],[f3316])).
% 10.42/1.68 fof(f3443,plain,(
% 10.42/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,ap_parcontractE_sk2s(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p)),comb_app(combS,p))),ap_parcontractE_sk1q(combS,ap_parcontractE_sk2s(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p)),comb_app(combS,p)))|~spl0_257),
% 10.42/1.68 inference(resolution,[status(thm)],[f3317,f122])).
% 10.42/1.68 fof(f3444,plain,(
% 10.42/1.68 $false|~spl0_257),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f3443,f58])).
% 10.42/1.68 fof(f3445,plain,(
% 10.42/1.68 ~spl0_257),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f3444])).
% 10.42/1.68 fof(f3453,plain,(
% 10.42/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p))),ap_parcontractE_sk1q(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),comb_app(combS,p)))|~spl0_131),
% 10.42/1.68 inference(resolution,[status(thm)],[f1256,f122])).
% 10.42/1.68 fof(f3454,plain,(
% 10.42/1.68 $false|~spl0_131),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f3453,f58])).
% 10.42/1.68 fof(f3455,plain,(
% 10.42/1.68 ~spl0_131),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f3454])).
% 10.42/1.68 fof(f3457,plain,(
% 10.42/1.68 combS=comb_app(combK,comb_app(combS,p))|~spl0_130),
% 10.42/1.68 inference(resolution,[status(thm)],[f1253,f116])).
% 10.42/1.68 fof(f3458,plain,(
% 10.42/1.68 $false|~spl0_130),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f3457,f58])).
% 10.42/1.68 fof(f3459,plain,(
% 10.42/1.68 ~spl0_130),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f3458])).
% 10.42/1.68 fof(f3863,plain,(
% 10.42/1.68 spl0_314 <=> ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),ap_parcontractE_sk2q(comb_app(combS,p),q,r))),
% 10.42/1.68 introduced(split_symbol_definition)).
% 10.42/1.68 fof(f3864,plain,(
% 10.42/1.68 ap_parcontractE_c3(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),ap_parcontractE_sk2q(comb_app(combS,p),q,r))|~spl0_314),
% 10.42/1.68 inference(component_clause,[status(thm)],[f3863])).
% 10.42/1.68 fof(f3983,plain,(
% 10.42/1.68 combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),ap_parcontractE_sk2q(comb_app(combS,p),q,r))),ap_parcontractE_sk1q(combS,ap_parcontractE_sk2s(combS,p,comb_app(combS,p)),ap_parcontractE_sk2q(comb_app(combS,p),q,r)))|~spl0_314),
% 10.42/1.68 inference(resolution,[status(thm)],[f3864,f122])).
% 10.42/1.68 fof(f3984,plain,(
% 10.42/1.68 $false|~spl0_314),
% 10.42/1.68 inference(forward_subsumption_resolution,[status(thm)],[f3983,f58])).
% 10.42/1.68 fof(f3985,plain,(
% 10.42/1.68 ~spl0_314),
% 10.42/1.68 inference(contradiction_clause,[status(thm)],[f3984])).
% 10.42/1.68 fof(f4600,plain,(
% 10.42/1.68 ~r=comb_app(ap_parcontractE_sk2q(comb_app(combS,p),q,r),ap_parcontractE_sk2s(comb_app(combS,p),q,r))|~spl0_62|~spl0_38),
% 10.42/1.68 inference(backward_demodulation,[status(thm)],[f1410,f888])).
% 10.42/1.68 fof(f4601,plain,(
% 10.42/1.68 ~r=r|~spl0_62|~spl0_38),
% 10.42/1.68 inference(forward_demodulation,[status(thm)],[f698,f4600])).
% 10.42/1.68 fof(f4602,plain,(
% 10.42/1.68 $false|~spl0_62|~spl0_38),
% 10.42/1.68 inference(trivial_equality_resolution,[status(esa)],[f4601])).
% 10.42/1.68 fof(f4603,plain,(
% 10.42/1.68 ~spl0_62|~spl0_38),
% 10.42/1.69 inference(contradiction_clause,[status(thm)],[f4602])).
% 10.42/1.69 fof(f4604,plain,(
% 10.42/1.69 $false),
% 10.42/1.69 inference(sat_refutation,[status(thm)],[f135,f142,f145,f148,f185,f198,f321,f326,f331,f339,f409,f416,f424,f434,f441,f448,f453,f458,f487,f531,f577,f676,f680,f693,f697,f722,f725,f739,f752,f757,f823,f841,f874,f878,f989,f990,f992,f1026,f1031,f1241,f1274,f1290,f1295,f1307,f1648,f1665,f1668,f1673,f1678,f1690,f1707,f1712,f1722,f1727,f1741,f1746,f2857,f2861,f2921,f3171,f3445,f3455,f3459,f3985,f4603])).
% 10.42/1.69 % SZS output end CNFRefutation for theBenchmark.p
% 10.42/1.74 % Elapsed time: 1.380654 seconds
% 10.42/1.74 % CPU time: 10.623845 seconds
% 10.42/1.74 % Total memory used: 210.087 MB
% 10.42/1.74 % Net memory used: 206.544 MB
%------------------------------------------------------------------------------