%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL089-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:09:07 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL089-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 14:13:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f11,axiom,(
% 0.10/0.41 (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(comb_app(P,Q),comb) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,axiom,(
% 0.10/0.41 (![A]: (( ~ member(A,comb)| member(pair(A,A),rtrancl(contract)) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f35,axiom,(
% 0.10/0.41 (![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)) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f36,axiom,(
% 0.10/0.41 (![R]: (trans(rtrancl(R)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f37,axiom,(
% 0.10/0.41 (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f38,axiom,(
% 0.10/0.41 (![A,B]: (( ~ member(pair(A,B),contract)| member(B,comb) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f39,hypothesis,(
% 0.10/0.41 member(r,comb) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f42,hypothesis,(
% 0.10/0.41 member(pair(y,z),contract) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f43,hypothesis,(
% 0.10/0.41 member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f44,negated_conjecture,(
% 0.10/0.41 ~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,X1),comb))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 ![X0]: (~member(X0,comb)|member(pair(X0,X0),rtrancl(contract)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 ![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)))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f35])).
% 0.10/0.41 fof(f91,plain,(
% 0.10/0.41 ![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)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 ![X0]: (trans(rtrancl(X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.41 fof(f93,plain,(
% 0.10/0.41 ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f37])).
% 0.10/0.41 fof(f94,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f93])).
% 0.10/0.41 fof(f95,plain,(
% 0.10/0.41 ![B]: ((![A]: ~member(pair(A,B),contract))|member(B,comb))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f38])).
% 0.10/0.41 fof(f96,plain,(
% 0.10/0.41 ![X0,X1]: (~member(pair(X0,X1),contract)|member(X1,comb))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/0.41 fof(f97,plain,(
% 0.10/0.41 member(r,comb)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 member(pair(y,z),contract)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.10/0.41 fof(f101,plain,(
% 0.10/0.41 member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 ~member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.10/0.41 fof(f105,plain,(
% 0.10/0.41 member(z,comb)),
% 0.10/0.41 inference(resolution,[status(thm)],[f96,f100])).
% 0.10/0.41 fof(f107,plain,(
% 0.10/0.41 ![X0,X1]: (~member(X0,comb)|~member(pair(comb_app(X0,z),X1),rtrancl(contract))|member(pair(comb_app(X0,y),X1),rtrancl(contract)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f91,f100])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~member(pair(X0,X1),rtrancl(X2))|~member(pair(X1,X3),rtrancl(X2))|member(pair(X0,X3),rtrancl(X2)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f94,f92])).
% 0.10/0.41 fof(f117,plain,(
% 0.10/0.41 ![X0]: (~member(pair(comb_app(r,p),X0),rtrancl(contract))|~member(pair(X0,comb_app(r,z)),rtrancl(contract)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f116,f102])).
% 0.10/0.41 fof(f120,plain,(
% 0.10/0.41 ~member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract))),
% 0.10/0.41 inference(resolution,[status(thm)],[f117,f101])).
% 0.10/0.41 fof(f123,plain,(
% 0.10/0.41 ~member(r,comb)|~member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract))),
% 0.10/0.41 inference(resolution,[status(thm)],[f120,f107])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 ~member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f123,f97])).
% 0.10/0.41 fof(f126,plain,(
% 0.10/0.41 ~member(comb_app(r,z),comb)),
% 0.10/0.41 inference(resolution,[status(thm)],[f125,f60])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 ~member(r,comb)|~member(z,comb)),
% 0.10/0.41 inference(resolution,[status(thm)],[f126,f59])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 ~member(z,comb)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f128,f97])).
% 0.10/0.41 fof(f131,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f105,f130])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.049139 seconds
% 0.10/0.43 % CPU time: 0.141909 seconds
% 0.10/0.43 % Total memory used: 73.800 MB
% 0.10/0.43 % Net memory used: 73.722 MB
%------------------------------------------------------------------------------