%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL093-1 : 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 : n010.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 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL093-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 14:10:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![P,Q]: (combS != comb_app(P,Q) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (![P,Q]: (( ~ member(comb_app(P,Q),comb)| member(Q,comb) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f32,axiom,(
% 0.09/0.40 (![P]: (( ~ member(P,comb)| member(pair(P,P),parcontract) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f39,axiom,(
% 0.09/0.40 (![R]: (( ~ member(pair(combS,R),parcontract)| R = combS ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f40,axiom,(
% 0.09/0.40 (![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) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f41,axiom,(
% 0.09/0.40 (![P,Q,R]: (( ~ ap_parcontractE_c1(P,Q,R)| member(comb_app(P,Q),comb) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f42,axiom,(
% 0.09/0.40 (![P,Q,R]: (( ~ ap_parcontractE_c1(P,Q,R)| R = comb_app(P,Q) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f45,axiom,(
% 0.09/0.40 (![P,Q,R]: (( ~ ap_parcontractE_c2(P,Q,R)| P = comb_app(combK,R) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f50,axiom,(
% 0.09/0.40 (![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)) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f51,axiom,(
% 0.09/0.40 (![P,Q,R]: (( ~ ap_parcontractE_c4(P,Q,R)| member(pair(P,ap_parcontractE_sk2q(P,Q,R)),parcontract) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f52,axiom,(
% 0.09/0.40 (![P,Q,R]: (( ~ ap_parcontractE_c4(P,Q,R)| member(pair(Q,ap_parcontractE_sk2s(P,Q,R)),parcontract) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f53,axiom,(
% 0.09/0.40 (![P,Q,R]: (( ~ ap_parcontractE_c4(P,Q,R)| R = comb_app(ap_parcontractE_sk2q(P,Q,R),ap_parcontractE_sk2s(P,Q,R)) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f54,hypothesis,(
% 0.09/0.40 member(pair(comb_app(combS,p),r),parcontract) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f55,negated_conjecture,(
% 0.09/0.40 (![PP]: (( r != comb_app(combS,PP)| ~ member(pair(p,PP),parcontract) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 ![X0,X1]: (~combS=comb_app(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 ![Q]: ((![P]: ~member(comb_app(P,Q),comb))|member(Q,comb))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.40 fof(f67,plain,(
% 0.09/0.40 ![X0,X1]: (~member(comb_app(X0,X1),comb)|member(X1,comb))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f66])).
% 0.09/0.40 fof(f97,plain,(
% 0.09/0.40 ![X0]: (~member(X0,comb)|member(pair(X0,X0),parcontract))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f106,plain,(
% 0.09/0.40 ![X0]: (~member(pair(combS,X0),parcontract)|X0=combS)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.40 fof(f107,plain,(
% 0.09/0.40 ![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))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.09/0.40 fof(f108,plain,(
% 0.09/0.40 ![P,Q]: ((![R]: ~ap_parcontractE_c1(P,Q,R))|member(comb_app(P,Q),comb))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f41])).
% 0.09/0.40 fof(f109,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~ap_parcontractE_c1(X0,X1,X2)|member(comb_app(X0,X1),comb))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.09/0.40 fof(f110,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~ap_parcontractE_c1(X0,X1,X2)|X2=comb_app(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.40 fof(f115,plain,(
% 0.09/0.40 ![P,R]: ((![Q]: ~ap_parcontractE_c2(P,Q,R))|P=comb_app(combK,R))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f45])).
% 0.09/0.40 fof(f116,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~ap_parcontractE_c2(X0,X1,X2)|X0=comb_app(combK,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.09/0.40 fof(f122,plain,(
% 0.09/0.40 ![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)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.40 fof(f123,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~ap_parcontractE_c4(X0,X1,X2)|member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.40 fof(f124,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~ap_parcontractE_c4(X0,X1,X2)|member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.40 fof(f125,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~ap_parcontractE_c4(X0,X1,X2)|X2=comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f53])).
% 0.09/0.40 fof(f126,plain,(
% 0.09/0.40 member(pair(comb_app(combS,p),r),parcontract)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/0.40 fof(f127,plain,(
% 0.09/0.40 ![X0]: (~r=comb_app(combS,X0)|~member(pair(p,X0),parcontract))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.40 fof(f130,plain,(
% 0.09/0.40 ~member(p,comb)|~r=comb_app(combS,p)),
% 0.09/0.40 inference(resolution,[status(thm)],[f97,f127])).
% 0.09/0.40 fof(f137,plain,(
% 0.09/0.40 ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|ap_parcontractE_c3(combS,p,r)|ap_parcontractE_c4(combS,p,r)),
% 0.09/0.40 inference(resolution,[status(thm)],[f107,f126])).
% 0.09/0.40 fof(f144,plain,(
% 0.09/0.40 ![X0,X1]: (~ap_parcontractE_c4(combS,X0,X1)|ap_parcontractE_sk2q(combS,X0,X1)=combS)),
% 0.09/0.40 inference(resolution,[status(thm)],[f123,f106])).
% 0.09/0.40 fof(f148,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|ap_parcontractE_c3(combS,p,r)),
% 0.09/0.40 inference(resolution,[status(thm)],[f144,f137])).
% 0.09/0.40 fof(f154,plain,(
% 0.09/0.40 ![X0,X1]: (~ap_parcontractE_c4(X0,p,X1)|~r=comb_app(combS,ap_parcontractE_sk2s(X0,p,X1)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f124,f127])).
% 0.09/0.40 fof(f156,plain,(
% 0.09/0.40 r=comb_app(ap_parcontractE_sk2q(combS,p,r),ap_parcontractE_sk2s(combS,p,r))|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|ap_parcontractE_c3(combS,p,r)),
% 0.09/0.40 inference(resolution,[status(thm)],[f125,f137])).
% 0.09/0.40 fof(f165,plain,(
% 0.09/0.40 ~r=comb_app(combS,ap_parcontractE_sk2s(combS,p,r))|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|ap_parcontractE_c3(combS,p,r)),
% 0.09/0.40 inference(resolution,[status(thm)],[f154,f137])).
% 0.09/0.40 fof(f172,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,r)),ap_parcontractE_sk1q(combS,p,r))),
% 0.09/0.40 inference(resolution,[status(thm)],[f148,f122])).
% 0.09/0.40 fof(f175,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f172,f58])).
% 0.09/0.40 fof(f186,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|ap_parcontractE_c1(combS,p,r)|combS=comb_app(combK,r)),
% 0.09/0.40 inference(resolution,[status(thm)],[f175,f116])).
% 0.09/0.40 fof(f189,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|ap_parcontractE_c1(combS,p,r)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f186,f58])).
% 0.09/0.40 fof(f190,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|member(comb_app(combS,p),comb)),
% 0.09/0.40 inference(resolution,[status(thm)],[f189,f109])).
% 0.09/0.40 fof(f191,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|r=comb_app(combS,p)),
% 0.09/0.40 inference(resolution,[status(thm)],[f189,f110])).
% 0.09/0.40 fof(f205,plain,(
% 0.09/0.40 ~r=comb_app(combS,ap_parcontractE_sk2s(combS,p,r))|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,r)),ap_parcontractE_sk1q(combS,p,r))),
% 0.09/0.40 inference(resolution,[status(thm)],[f165,f122])).
% 0.09/0.40 fof(f208,plain,(
% 0.09/0.40 ~r=comb_app(combS,ap_parcontractE_sk2s(combS,p,r))|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f205,f58])).
% 0.09/0.40 fof(f213,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|member(p,comb)),
% 0.09/0.40 inference(resolution,[status(thm)],[f190,f67])).
% 0.09/0.40 fof(f222,plain,(
% 0.09/0.40 ap_parcontractE_sk2q(combS,p,r)=combS|~r=comb_app(combS,p)),
% 0.09/0.40 inference(resolution,[status(thm)],[f213,f130])).
% 0.09/0.40 fof(f228,plain,(
% 0.13/0.42 r=comb_app(combS,ap_parcontractE_sk2s(combS,p,r))|ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|ap_parcontractE_c3(combS,p,r)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f229,f156])).
% 0.13/0.42 fof(f229,plain,(
% 0.13/0.42 ap_parcontractE_sk2q(combS,p,r)=combS),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f222,f191])).
% 0.13/0.42 fof(f230,plain,(
% 0.13/0.42 ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|ap_parcontractE_c3(combS,p,r)),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f228,f208])).
% 0.13/0.42 fof(f243,plain,(
% 0.13/0.42 ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)|combS=comb_app(comb_app(combS,ap_parcontractE_sk1p(combS,p,r)),ap_parcontractE_sk1q(combS,p,r))),
% 0.13/0.42 inference(resolution,[status(thm)],[f230,f122])).
% 0.13/0.42 fof(f246,plain,(
% 0.13/0.42 ap_parcontractE_c1(combS,p,r)|ap_parcontractE_c2(combS,p,r)),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f243,f58])).
% 0.13/0.42 fof(f248,plain,(
% 0.13/0.42 ap_parcontractE_c1(combS,p,r)|combS=comb_app(combK,r)),
% 0.13/0.42 inference(resolution,[status(thm)],[f246,f116])).
% 0.13/0.42 fof(f251,plain,(
% 0.13/0.42 ap_parcontractE_c1(combS,p,r)),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f248,f58])).
% 0.13/0.42 fof(f252,plain,(
% 0.13/0.42 member(comb_app(combS,p),comb)),
% 0.13/0.42 inference(resolution,[status(thm)],[f251,f109])).
% 0.13/0.42 fof(f253,plain,(
% 0.13/0.42 r=comb_app(combS,p)),
% 0.13/0.42 inference(resolution,[status(thm)],[f251,f110])).
% 0.13/0.42 fof(f255,plain,(
% 0.13/0.42 ~member(p,comb)|~r=r),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f253,f130])).
% 0.13/0.42 fof(f256,plain,(
% 0.13/0.42 member(r,comb)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f253,f252])).
% 0.13/0.42 fof(f257,plain,(
% 0.13/0.42 ~member(p,comb)),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f255])).
% 0.13/0.42 fof(f284,plain,(
% 0.13/0.42 ~member(r,comb)|member(p,comb)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f253,f67])).
% 0.13/0.42 fof(f346,plain,(
% 0.13/0.42 member(p,comb)),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f284,f256])).
% 0.13/0.42 fof(f347,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(backward_subsumption_resolution,[status(thm)],[f257,f346])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.067486 seconds
% 0.13/0.42 % CPU time: 0.305921 seconds
% 0.13/0.42 % Total memory used: 78.557 MB
% 0.13/0.42 % Net memory used: 78.149 MB
%------------------------------------------------------------------------------