%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL091-1 : 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 : n009.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 0.24s 5.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.49 % Computer : n009.cluster.edu
% 0.19/5.49 % Model : x86_64 x86_64
% 0.19/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.49 % Memory : 8046.5625MB
% 0.19/5.49 % OS : Linux 6.8.0-71-generic
% 0.19/5.49 % CPULimit : 300
% 0.19/5.49 % WCLimit : 300
% 0.19/5.49 % DateTime : Mon Sep 21 14:10:18 UTC 2026
% 0.19/5.49 % CPUTime :
% 0.24/5.51 % Drodi V4.1.1
% 0.24/5.54 % Refutation found
% 0.24/5.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/5.54 % SZS output start CNFRefutation for theBenchmark
% 0.24/5.54 fof(f2,axiom,(
% 0.24/5.54 (![P,Q]: (combK != comb_app(P,Q) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f15,axiom,(
% 0.24/5.54 (![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) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f18,axiom,(
% 0.24/5.54 (![P,Q,R]: (( ~ ap_contractE_c1(P,Q,R)| P = comb_app(combK,R) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f23,axiom,(
% 0.24/5.54 (![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)) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f24,axiom,(
% 0.24/5.54 (![P,Q,R]: (( ~ ap_contractE_c3(P,Q,R)| member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f27,axiom,(
% 0.24/5.54 (![P,Q,R]: (( ~ ap_contractE_c4(P,Q,R)| member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f29,axiom,(
% 0.24/5.54 (![P,Q,R]: (( ~ ap_contractE_c4(P,Q,R)| R = comb_app(P,ap_contractE_sk3q(P,Q,R)) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f30,axiom,(
% 0.24/5.54 (![R]: (~ member(pair(combK,R),contract) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f32,hypothesis,(
% 0.24/5.54 member(pair(comb_app(combK,p),r),contract) ),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f33,negated_conjecture,(
% 0.24/5.54 (![Q]: (( r != comb_app(combK,Q)| ~ member(pair(p,Q),contract) ) ))),
% 0.24/5.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/5.54 fof(f35,plain,(
% 0.24/5.54 ![X0,X1]: (~combK=comb_app(X0,X1))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.24/5.54 fof(f52,plain,(
% 0.24/5.54 ![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))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f15])).
% 0.24/5.54 fof(f57,plain,(
% 0.24/5.54 ![P,R]: ((![Q]: ~ap_contractE_c1(P,Q,R))|P=comb_app(combK,R))),
% 0.24/5.54 inference(miniscoping,[status(thm)],[f18])).
% 0.24/5.54 fof(f58,plain,(
% 0.24/5.54 ![X0,X1,X2]: (~ap_contractE_c1(X0,X1,X2)|X0=comb_app(combK,X2))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f57])).
% 0.24/5.54 fof(f64,plain,(
% 0.24/5.54 ![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)))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f23])).
% 0.24/5.54 fof(f65,plain,(
% 0.24/5.54 ![X0,X1,X2]: (~ap_contractE_c3(X0,X1,X2)|member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f24])).
% 0.24/5.54 fof(f69,plain,(
% 0.24/5.54 ![X0,X1,X2]: (~ap_contractE_c4(X0,X1,X2)|member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f27])).
% 0.24/5.54 fof(f72,plain,(
% 0.24/5.54 ![X0,X1,X2]: (~ap_contractE_c4(X0,X1,X2)|X2=comb_app(X0,ap_contractE_sk3q(X0,X1,X2)))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f29])).
% 0.24/5.54 fof(f73,plain,(
% 0.24/5.54 ![X0]: (~member(pair(combK,X0),contract))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f30])).
% 0.24/5.54 fof(f75,plain,(
% 0.24/5.54 member(pair(comb_app(combK,p),r),contract)),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f32])).
% 0.24/5.54 fof(f76,plain,(
% 0.24/5.54 ![X0]: (~r=comb_app(combK,X0)|~member(pair(p,X0),contract))),
% 0.24/5.54 inference(cnf_transformation,[status(thm)],[f33])).
% 0.24/5.54 fof(f83,plain,(
% 0.24/5.54 ap_contractE_c1(combK,p,r)|ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)|ap_contractE_c4(combK,p,r)),
% 0.24/5.54 inference(resolution,[status(thm)],[f52,f75])).
% 0.24/5.54 fof(f84,plain,(
% 0.24/5.54 ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)|ap_contractE_c4(combK,p,r)|combK=comb_app(combK,r)),
% 0.24/5.54 inference(resolution,[status(thm)],[f83,f58])).
% 0.24/5.54 fof(f87,plain,(
% 0.24/5.54 ap_contractE_c2(combK,p,r)|ap_contractE_c3(combK,p,r)|ap_contractE_c4(combK,p,r)),
% 0.24/5.54 inference(forward_subsumption_resolution,[status(thm)],[f84,f35])).
% 0.24/5.54 fof(f98,plain,(
% 0.24/5.54 combK=comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))|ap_contractE_c3(combK,p,r)|ap_contractE_c4(combK,p,r)),
% 0.24/5.55 inference(resolution,[status(thm)],[f64,f87])).
% 0.24/5.55 fof(f99,plain,(
% 0.24/5.55 ap_contractE_c3(combK,p,r)|ap_contractE_c4(combK,p,r)),
% 0.24/5.55 inference(forward_subsumption_resolution,[status(thm)],[f98,f35])).
% 0.24/5.55 fof(f100,plain,(
% 0.24/5.55 ap_contractE_c4(combK,p,r)|member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract)),
% 0.24/5.55 inference(resolution,[status(thm)],[f99,f65])).
% 0.24/5.55 fof(f103,plain,(
% 0.24/5.55 ap_contractE_c4(combK,p,r)),
% 0.24/5.55 inference(forward_subsumption_resolution,[status(thm)],[f100,f73])).
% 0.24/5.55 fof(f104,plain,(
% 0.24/5.55 member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)),
% 0.24/5.55 inference(resolution,[status(thm)],[f103,f69])).
% 0.24/5.55 fof(f105,plain,(
% 0.24/5.55 r=comb_app(combK,ap_contractE_sk3q(combK,p,r))),
% 0.24/5.55 inference(resolution,[status(thm)],[f103,f72])).
% 0.24/5.55 fof(f127,plain,(
% 0.24/5.55 ~r=comb_app(combK,ap_contractE_sk3q(combK,p,r))),
% 0.24/5.55 inference(resolution,[status(thm)],[f104,f76])).
% 0.24/5.55 fof(f128,plain,(
% 0.24/5.55 ~r=r),
% 0.24/5.55 inference(forward_demodulation,[status(thm)],[f105,f127])).
% 0.24/5.55 fof(f129,plain,(
% 0.24/5.55 $false),
% 0.24/5.55 inference(trivial_equality_resolution,[status(thm)],[f128])).
% 0.24/5.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/5.59 % Elapsed time: 0.083271 seconds
% 0.24/5.59 % CPU time: 0.110995 seconds
% 0.24/5.59 % Total memory used: 7.868 MB
% 0.24/5.59 % Net memory used: 7.859 MB
%------------------------------------------------------------------------------