%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL091-2 : 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 : n006.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 18.34s 3.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL091-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n006.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 14:09:58 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 18.34/3.15 % Refutation found
% 18.34/3.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.34/3.15 % SZS output start CNFRefutation for theBenchmark
% 18.34/3.15 fof(f144,axiom,(
% 18.34/3.15 (![P,Q]: (combK != comb_app(P,Q) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f157,axiom,(
% 18.34/3.15 (![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) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f160,axiom,(
% 18.34/3.15 (![P,Q,R]: (( ~ ap_contractE_c1(P,Q,R)| P = comb_app(combK,R) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f165,axiom,(
% 18.34/3.15 (![P,Q,R]: (( ~ ap_contractE_c2(P,Q,R)| P = comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R)) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f166,axiom,(
% 18.34/3.15 (![P,Q,R]: (( ~ ap_contractE_c3(P,Q,R)| member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f169,axiom,(
% 18.34/3.15 (![P,Q,R]: (( ~ ap_contractE_c4(P,Q,R)| member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f171,axiom,(
% 18.34/3.15 (![P,Q,R]: (( ~ ap_contractE_c4(P,Q,R)| R = comb_app(P,ap_contractE_sk3q(P,Q,R)) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f172,axiom,(
% 18.34/3.15 (![R]: (~ member(pair(combK,R),contract) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f174,hypothesis,(
% 18.34/3.15 member(pair(comb_app(combK,p),r),contract) ),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f175,negated_conjecture,(
% 18.34/3.15 (![Q]: (( r != comb_app(combK,Q)| ~ member(pair(p,Q),contract) ) ))),
% 18.34/3.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.34/3.15 fof(f382,plain,(
% 18.34/3.15 ![X0,X1]: (~combK=comb_app(X0,X1))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f144])).
% 18.34/3.15 fof(f399,plain,(
% 18.34/3.15 ![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))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f157])).
% 18.34/3.15 fof(f404,plain,(
% 18.34/3.15 ![P,R]: ((![Q]: ~ap_contractE_c1(P,Q,R))|P=comb_app(combK,R))),
% 18.34/3.15 inference(miniscoping,[status(thm)],[f160])).
% 18.34/3.15 fof(f405,plain,(
% 18.34/3.15 ![X0,X1,X2]: (~ap_contractE_c1(X0,X1,X2)|X0=comb_app(combK,X2))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f404])).
% 18.34/3.15 fof(f411,plain,(
% 18.34/3.15 ![X0,X1,X2]: (~ap_contractE_c2(X0,X1,X2)|X0=comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f165])).
% 18.34/3.15 fof(f412,plain,(
% 18.34/3.15 ![X0,X1,X2]: (~ap_contractE_c3(X0,X1,X2)|member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f166])).
% 18.34/3.15 fof(f416,plain,(
% 18.34/3.15 ![X0,X1,X2]: (~ap_contractE_c4(X0,X1,X2)|member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f169])).
% 18.34/3.15 fof(f419,plain,(
% 18.34/3.15 ![X0,X1,X2]: (~ap_contractE_c4(X0,X1,X2)|X2=comb_app(X0,ap_contractE_sk3q(X0,X1,X2)))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f171])).
% 18.34/3.15 fof(f420,plain,(
% 18.34/3.15 ![X0]: (~member(pair(combK,X0),contract))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f172])).
% 18.34/3.15 fof(f422,plain,(
% 18.34/3.15 member(pair(comb_app(combK,p),r),contract)),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f174])).
% 18.34/3.15 fof(f423,plain,(
% 18.34/3.15 ![X0]: (~r=comb_app(combK,X0)|~member(pair(p,X0),contract))),
% 18.34/3.15 inference(cnf_transformation,[status(thm)],[f175])).
% 18.34/3.15 fof(f1949,plain,(
% 18.34/3.15 ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)|ap_contractE_c4(combK,p,r)),
% 18.34/3.15 inference(resolution,[status(thm)],[f399,f422])).
% 18.34/3.15 fof(f2030,plain,(
% 18.34/3.15 member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)|ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)),
% 18.34/3.15 inference(resolution,[status(thm)],[f416,f1949])).
% 18.34/3.15 fof(f2032,plain,(
% 18.34/3.15 r=comb_app(combK,ap_contractE_sk3q(combK,p,r))|ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)),
% 18.34/3.15 inference(resolution,[status(thm)],[f419,f1949])).
% 18.34/3.16 fof(f2770,plain,(
% 18.34/3.16 ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)|~r=comb_app(combK,ap_contractE_sk3q(combK,p,r))),
% 18.34/3.16 inference(resolution,[status(thm)],[f2030,f423])).
% 18.34/3.16 fof(f3107,plain,(
% 18.34/3.16 ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)),
% 18.34/3.16 inference(forward_subsumption_resolution,[status(thm)],[f2032,f2770])).
% 18.34/3.16 fof(f3109,plain,(
% 18.34/3.16 ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract)),
% 18.34/3.16 inference(resolution,[status(thm)],[f3107,f412])).
% 18.34/3.16 fof(f3111,plain,(
% 18.34/3.16 ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)),
% 18.34/3.16 inference(forward_subsumption_resolution,[status(thm)],[f3109,f420])).
% 18.34/3.16 fof(f3254,plain,(
% 18.34/3.16 ap_contractE_c1(combK,p,r)|combK=comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))),
% 18.34/3.16 inference(resolution,[status(thm)],[f3111,f411])).
% 18.34/3.16 fof(f3259,plain,(
% 18.34/3.16 ap_contractE_c1(combK,p,r)),
% 18.34/3.16 inference(forward_subsumption_resolution,[status(thm)],[f3254,f382])).
% 18.34/3.16 fof(f3260,plain,(
% 18.34/3.16 combK=comb_app(combK,r)),
% 18.34/3.16 inference(resolution,[status(thm)],[f3259,f405])).
% 18.34/3.16 fof(f3263,plain,(
% 18.34/3.16 $false),
% 18.34/3.16 inference(forward_subsumption_resolution,[status(thm)],[f3260,f382])).
% 18.34/3.16 % SZS output end CNFRefutation for theBenchmark.p
% 18.34/3.23 % Elapsed time: 2.750881 seconds
% 18.34/3.23 % CPU time: 21.122199 seconds
% 18.34/3.23 % Total memory used: 224.172 MB
% 18.34/3.23 % Net memory used: 200.684 MB
%------------------------------------------------------------------------------