TSTP Solution File: COL089-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:13:48 EDT 2024
% Result : Unsatisfiable 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n026.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 : Mon Apr 29 22:45:04 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32 fof(f7,axiom,(
% 0.14/0.32 (![P,Q]: (( ~ member(comb_app(P,Q),comb)| member(P,comb) ) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f11,axiom,(
% 0.14/0.32 (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(comb_app(P,Q),comb) ) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f12,axiom,(
% 0.14/0.32 (![A]: (( ~ member(A,comb)| member(pair(A,A),rtrancl(contract)) ) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f35,axiom,(
% 0.14/0.32 (![P3,Q3,R3,C]: (( ~ member(pair(P3,Q3),contract)| ~ member(R3,comb)| ~ member(pair(comb_app(R3,Q3),C),rtrancl(contract))| member(pair(comb_app(R3,P3),C),rtrancl(contract)) ) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f36,axiom,(
% 0.14/0.32 (![R]: (trans(rtrancl(R)) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f37,axiom,(
% 0.14/0.32 (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f38,axiom,(
% 0.14/0.32 (![A,B]: (( ~ member(pair(A,B),contract)| member(B,comb) ) ))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f39,hypothesis,(
% 0.14/0.32 member(r,comb) ),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f42,hypothesis,(
% 0.14/0.32 member(pair(y,z),contract) ),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f43,hypothesis,(
% 0.14/0.32 member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)) ),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f44,negated_conjecture,(
% 0.14/0.32 ~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)) ),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f53,plain,(
% 0.14/0.32 ![P]: ((![Q]: ~member(comb_app(P,Q),comb))|member(P,comb))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f7])).
% 0.14/0.32 fof(f54,plain,(
% 0.14/0.32 ![X0,X1]: (~member(comb_app(X0,X1),comb)|member(X0,comb))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f53])).
% 0.14/0.32 fof(f59,plain,(
% 0.14/0.32 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,X1),comb))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.32 fof(f60,plain,(
% 0.14/0.32 ![X0]: (~member(X0,comb)|member(pair(X0,X0),rtrancl(contract)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f90,plain,(
% 0.14/0.32 ![P3,R3,C]: ((![Q3]: ((~member(pair(P3,Q3),contract)|~member(R3,comb))|~member(pair(comb_app(R3,Q3),C),rtrancl(contract))))|member(pair(comb_app(R3,P3),C),rtrancl(contract)))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f35])).
% 0.14/0.32 fof(f91,plain,(
% 0.14/0.32 ![X0,X1,X2,X3]: (~member(pair(X0,X1),contract)|~member(X2,comb)|~member(pair(comb_app(X2,X1),X3),rtrancl(contract))|member(pair(comb_app(X2,X0),X3),rtrancl(contract)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f90])).
% 0.14/0.32 fof(f92,plain,(
% 0.14/0.32 ![X0]: (trans(rtrancl(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.32 fof(f93,plain,(
% 0.14/0.32 ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f37])).
% 0.14/0.32 fof(f94,plain,(
% 0.14/0.32 ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f93])).
% 0.14/0.32 fof(f95,plain,(
% 0.14/0.32 ![B]: ((![A]: ~member(pair(A,B),contract))|member(B,comb))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f38])).
% 0.14/0.32 fof(f96,plain,(
% 0.14/0.32 ![X0,X1]: (~member(pair(X0,X1),contract)|member(X1,comb))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f95])).
% 0.14/0.32 fof(f97,plain,(
% 0.14/0.32 member(r,comb)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.32 fof(f100,plain,(
% 0.14/0.32 member(pair(y,z),contract)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f101,plain,(
% 0.14/0.32 member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f43])).
% 0.14/0.32 fof(f102,plain,(
% 0.14/0.32 ~member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f44])).
% 0.14/0.32 fof(f103,plain,(
% 0.14/0.32 member(z,comb)),
% 0.14/0.32 inference(resolution,[status(thm)],[f96,f100])).
% 0.14/0.32 fof(f107,plain,(
% 0.14/0.34 ![X0,X1]: (~member(X0,comb)|~member(pair(comb_app(X0,z),X1),rtrancl(contract))|member(pair(comb_app(X0,y),X1),rtrancl(contract)))),
% 0.14/0.34 inference(resolution,[status(thm)],[f91,f100])).
% 0.14/0.34 fof(f119,plain,(
% 0.14/0.34 ![X0]: (~member(X0,comb)|member(pair(comb_app(X0,y),comb_app(X0,z)),rtrancl(contract))|~member(comb_app(X0,z),comb))),
% 0.14/0.34 inference(resolution,[status(thm)],[f107,f60])).
% 0.14/0.34 fof(f120,plain,(
% 0.14/0.34 ![X0]: (member(pair(comb_app(X0,y),comb_app(X0,z)),rtrancl(contract))|~member(comb_app(X0,z),comb))),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f119,f54])).
% 0.14/0.34 fof(f121,plain,(
% 0.14/0.34 spl0_3 <=> ~member(X0,comb)|member(pair(comb_app(X0,y),comb_app(X0,z)),rtrancl(contract))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f122,plain,(
% 0.14/0.34 ![X0]: (~member(X0,comb)|member(pair(comb_app(X0,y),comb_app(X0,z)),rtrancl(contract))|~spl0_3)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.34 fof(f124,plain,(
% 0.14/0.34 spl0_4 <=> member(z,comb)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f126,plain,(
% 0.14/0.34 ~member(z,comb)|spl0_4),
% 0.14/0.34 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.34 fof(f127,plain,(
% 0.14/0.34 ![X0]: (~member(X0,comb)|~member(z,comb)|member(pair(comb_app(X0,y),comb_app(X0,z)),rtrancl(contract)))),
% 0.14/0.34 inference(resolution,[status(thm)],[f59,f120])).
% 0.14/0.34 fof(f128,plain,(
% 0.14/0.34 spl0_3|~spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f127,f121,f124])).
% 0.14/0.34 fof(f139,plain,(
% 0.14/0.34 $false|spl0_4),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f126,f103])).
% 0.14/0.34 fof(f140,plain,(
% 0.14/0.34 spl0_4),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f139])).
% 0.14/0.34 fof(f150,plain,(
% 0.14/0.34 ![X0,X1,X2,X3]: (~member(pair(X0,X1),rtrancl(X2))|~member(pair(X1,X3),rtrancl(X2))|member(pair(X0,X3),rtrancl(X2)))),
% 0.14/0.34 inference(resolution,[status(thm)],[f94,f92])).
% 0.14/0.34 fof(f194,plain,(
% 0.14/0.34 ![X0]: (~member(pair(comb_app(r,p),X0),rtrancl(contract))|~member(pair(X0,comb_app(r,z)),rtrancl(contract)))),
% 0.14/0.34 inference(resolution,[status(thm)],[f150,f102])).
% 0.14/0.34 fof(f196,plain,(
% 0.14/0.34 ~member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract))),
% 0.14/0.34 inference(resolution,[status(thm)],[f194,f101])).
% 0.14/0.34 fof(f207,plain,(
% 0.14/0.34 ~member(r,comb)|~spl0_3),
% 0.14/0.34 inference(resolution,[status(thm)],[f196,f122])).
% 0.14/0.34 fof(f208,plain,(
% 0.14/0.34 $false|~spl0_3),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f207,f97])).
% 0.14/0.34 fof(f209,plain,(
% 0.14/0.34 ~spl0_3),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f208])).
% 0.14/0.34 fof(f210,plain,(
% 0.14/0.34 $false),
% 0.14/0.34 inference(sat_refutation,[status(thm)],[f128,f140,f209])).
% 0.14/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.34 % Elapsed time: 0.025553 seconds
% 0.14/0.34 % CPU time: 0.057534 seconds
% 0.14/0.34 % Total memory used: 13.667 MB
% 0.14/0.34 % Net memory used: 13.624 MB
%------------------------------------------------------------------------------