%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL088-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:09:06 PM UTC 2026
% Result : Unsatisfiable 265.19s 33.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL088-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:10:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 265.19/33.98 % Refutation found
% 265.19/33.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 265.19/33.98 % SZS output start CNFRefutation for theBenchmark
% 265.19/33.98 fof(f1,axiom,(
% 265.19/33.98 (![U,V]: (member(U,cons(U,V)) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f10,axiom,(
% 265.19/33.98 (![A,C,B]: (( ~ member(A,C)| ~ subset(B,C)| subset(cons(A,B),C) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f105,axiom,(
% 265.19/33.98 (![A,B,C]: (( ~ subset(cons(A,B),C)| subset(B,C) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f136,axiom,(
% 265.19/33.98 (![A]: (subset(A,A) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f140,axiom,(
% 265.19/33.98 (![A,B]: (( ~ subset(A,B)| ~ subset(B,A)| A = B ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f150,axiom,(
% 265.19/33.98 (![P,Q]: (( ~ member(comb_app(P,Q),comb)| member(Q,comb) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f153,axiom,(
% 265.19/33.98 (![P,Q]: (( ~ member(P,comb)| ~ member(Q,comb)| member(comb_app(P,Q),comb) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f154,axiom,(
% 265.19/33.98 (![A]: (( ~ member(A,comb)| member(pair(A,A),rtrancl(contract)) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f174,axiom,(
% 265.19/33.98 (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f175,axiom,(
% 265.19/33.98 (![R]: (trans(rtrancl(R)) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f176,axiom,(
% 265.19/33.98 (![A,B]: (( ~ member(pair(A,B),contract)| member(B,comb) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f179,axiom,(
% 265.19/33.98 (![P3,Q3,R3,C]: (( ~ member(pair(P3,Q3),contract)| ~ member(R3,comb)| ~ member(pair(comb_app(Q3,R3),C),rtrancl(contract))| member(pair(comb_app(P3,R3),C),rtrancl(contract)) ) ))),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f181,hypothesis,(
% 265.19/33.98 member(r,comb) ),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f184,hypothesis,(
% 265.19/33.98 member(pair(y,z),contract) ),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f185,hypothesis,(
% 265.19/33.98 member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)) ),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f186,negated_conjecture,(
% 265.19/33.98 ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)) ),
% 265.19/33.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 265.19/33.98 fof(f187,plain,(
% 265.19/33.98 ![X0,X1]: (member(X0,cons(X0,X1)))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f1])).
% 265.19/33.98 fof(f201,plain,(
% 265.19/33.98 ![X0,X1,X2]: (~member(X0,X1)|~subset(X2,X1)|subset(cons(X0,X2),X1))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f10])).
% 265.19/33.98 fof(f335,plain,(
% 265.19/33.98 ![B,C]: ((![A]: ~subset(cons(A,B),C))|subset(B,C))),
% 265.19/33.98 inference(miniscoping,[status(thm)],[f105])).
% 265.19/33.98 fof(f336,plain,(
% 265.19/33.98 ![X0,X1,X2]: (~subset(cons(X0,X1),X2)|subset(X1,X2))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f335])).
% 265.19/33.98 fof(f383,plain,(
% 265.19/33.98 ![X0]: (subset(X0,X0))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f136])).
% 265.19/33.98 fof(f389,plain,(
% 265.19/33.98 ![X0,X1]: (~subset(X0,X1)|~subset(X1,X0)|X0=X1)),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f140])).
% 265.19/33.98 fof(f402,plain,(
% 265.19/33.98 ![Q]: ((![P]: ~member(comb_app(P,Q),comb))|member(Q,comb))),
% 265.19/33.98 inference(miniscoping,[status(thm)],[f150])).
% 265.19/33.98 fof(f403,plain,(
% 265.19/33.98 ![X0,X1]: (~member(comb_app(X0,X1),comb)|member(X1,comb))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f402])).
% 265.19/33.98 fof(f406,plain,(
% 265.19/33.98 ![X0,X1]: (~member(X0,comb)|~member(X1,comb)|member(comb_app(X0,X1),comb))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f153])).
% 265.19/33.98 fof(f407,plain,(
% 265.19/33.98 ![X0]: (~member(X0,comb)|member(pair(X0,X0),rtrancl(contract)))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f154])).
% 265.19/33.98 fof(f433,plain,(
% 265.19/33.98 ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 265.19/33.98 inference(miniscoping,[status(thm)],[f174])).
% 265.19/33.98 fof(f434,plain,(
% 265.19/33.98 ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f433])).
% 265.19/33.98 fof(f435,plain,(
% 265.19/33.98 ![X0]: (trans(rtrancl(X0)))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f175])).
% 265.19/33.98 fof(f436,plain,(
% 265.19/33.98 ![B]: ((![A]: ~member(pair(A,B),contract))|member(B,comb))),
% 265.19/33.98 inference(miniscoping,[status(thm)],[f176])).
% 265.19/33.98 fof(f437,plain,(
% 265.19/33.98 ![X0,X1]: (~member(pair(X0,X1),contract)|member(X1,comb))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f436])).
% 265.19/33.98 fof(f440,plain,(
% 265.19/33.98 ![P3,R3,C]: ((![Q3]: ((~member(pair(P3,Q3),contract)|~member(R3,comb))|~member(pair(comb_app(Q3,R3),C),rtrancl(contract))))|member(pair(comb_app(P3,R3),C),rtrancl(contract)))),
% 265.19/33.98 inference(miniscoping,[status(thm)],[f179])).
% 265.19/33.98 fof(f441,plain,(
% 265.19/33.98 ![X0,X1,X2,X3]: (~member(pair(X0,X1),contract)|~member(X2,comb)|~member(pair(comb_app(X1,X2),X3),rtrancl(contract))|member(pair(comb_app(X0,X2),X3),rtrancl(contract)))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f440])).
% 265.19/33.98 fof(f444,plain,(
% 265.19/33.98 member(r,comb)),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f181])).
% 265.19/33.98 fof(f447,plain,(
% 265.19/33.98 member(pair(y,z),contract)),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f184])).
% 265.19/33.98 fof(f448,plain,(
% 265.19/33.98 member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f185])).
% 265.19/33.98 fof(f449,plain,(
% 265.19/33.98 ~member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract))),
% 265.19/33.98 inference(cnf_transformation,[status(thm)],[f186])).
% 265.19/33.98 fof(f455,plain,(
% 265.19/33.98 member(z,comb)),
% 265.19/33.98 inference(resolution,[status(thm)],[f437,f447])).
% 265.19/33.98 fof(f460,plain,(
% 265.19/33.98 ![X0,X1]: (~member(X0,comb)|~member(pair(comb_app(z,X0),X1),rtrancl(contract))|member(pair(comb_app(y,X0),X1),rtrancl(contract)))),
% 265.19/33.98 inference(resolution,[status(thm)],[f441,f447])).
% 265.19/33.98 fof(f532,plain,(
% 265.19/33.98 ![X0,X1,X2,X3]: (~member(pair(X0,X1),rtrancl(X2))|~member(pair(X1,X3),rtrancl(X2))|member(pair(X0,X3),rtrancl(X2)))),
% 265.19/33.98 inference(resolution,[status(thm)],[f435,f434])).
% 265.19/33.98 fof(f539,plain,(
% 265.19/33.98 ![X0,X1]: (~member(X0,X1)|subset(cons(X0,X1),X1))),
% 265.19/33.98 inference(resolution,[status(thm)],[f201,f383])).
% 265.19/33.98 fof(f636,plain,(
% 265.19/33.98 ![X0,X1]: (subset(X0,cons(X1,X0)))),
% 265.19/33.98 inference(resolution,[status(thm)],[f336,f383])).
% 265.19/33.98 fof(f714,plain,(
% 265.19/33.98 ![X0,X1]: (~member(X0,X1)|~subset(X1,cons(X0,X1))|X1=cons(X0,X1))),
% 265.19/33.98 inference(resolution,[status(thm)],[f539,f389])).
% 265.19/33.98 fof(f715,plain,(
% 265.19/33.98 ![X0,X1]: (~member(X0,X1)|X1=cons(X0,X1))),
% 265.19/33.98 inference(forward_subsumption_resolution,[status(thm)],[f714,f636])).
% 265.19/33.98 fof(f751,plain,(
% 265.19/33.98 ![X0,X1]: (rtrancl(contract)=cons(pair(comb_app(y,X0),X1),rtrancl(contract))|~member(X0,comb)|~member(pair(comb_app(z,X0),X1),rtrancl(contract)))),
% 265.19/33.98 inference(resolution,[status(thm)],[f715,f460])).
% 265.19/33.98 fof(f2301,plain,(
% 265.19/33.98 ![X0]: (rtrancl(contract)=cons(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract))|~member(X0,comb)|~member(comb_app(z,X0),comb))),
% 265.19/33.98 inference(resolution,[status(thm)],[f751,f407])).
% 265.19/33.98 fof(f2303,plain,(
% 265.19/33.98 ![X0]: (rtrancl(contract)=cons(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract))|~member(comb_app(z,X0),comb))),
% 265.19/33.98 inference(forward_subsumption_resolution,[status(thm)],[f2301,f403])).
% 265.19/33.98 fof(f15237,plain,(
% 265.19/33.98 ![X0]: (~member(z,comb)|~member(X0,comb)|rtrancl(contract)=cons(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract)))),
% 265.19/33.98 inference(resolution,[status(thm)],[f406,f2303])).
% 265.19/33.98 fof(f15256,plain,(
% 265.19/33.98 ![X0]: (~member(X0,comb)|rtrancl(contract)=cons(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract)))),
% 265.19/33.98 inference(forward_subsumption_resolution,[status(thm)],[f15237,f455])).
% 265.19/33.98 fof(f15565,plain,(
% 265.19/33.98 rtrancl(contract)=cons(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract))),
% 265.19/33.98 inference(resolution,[status(thm)],[f15256,f444])).
% 265.19/33.98 fof(f15693,plain,(
% 265.19/33.98 member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract))),
% 265.19/33.98 inference(paramodulation,[status(thm)],[f15565,f187])).
% 265.19/33.98 fof(f39729,plain,(
% 265.19/33.98 ![X0]: (~member(pair(comb_app(p,r),X0),rtrancl(contract))|~member(pair(X0,comb_app(z,r)),rtrancl(contract)))),
% 265.19/33.98 inference(resolution,[status(thm)],[f532,f449])).
% 265.19/33.98 fof(f39996,plain,(
% 265.19/33.98 ~member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract))),
% 265.19/33.98 inference(resolution,[status(thm)],[f39729,f448])).
% 265.19/33.98 fof(f40032,plain,(
% 265.19/33.98 $false),
% 265.19/33.98 inference(forward_subsumption_resolution,[status(thm)],[f39996,f15693])).
% 265.19/33.98 % SZS output end CNFRefutation for theBenchmark.p
% 71.82/34.24 % Elapsed time: 33.834125 seconds
% 71.82/34.24 % CPU time: 267.050715 seconds
% 71.82/34.24 % Total memory used: 991.624 MB
% 71.82/34.24 % Net memory used: 841.762 MB
%------------------------------------------------------------------------------