%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL090-1 : 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 0.17s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n009.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 14:10:28 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.17/0.56 % Refutation found
% 0.17/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.56 fof(f1,axiom,(
% 0.17/0.56 combK != combS ),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f3,axiom,(
% 0.17/0.56 (![P,Q]: (combS != comb_app(P,Q) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f4,axiom,(
% 0.17/0.56 (![P1,Q1,P2,Q2]: (( comb_app(P1,Q1) != comb_app(P2,Q2)| P1 = P2 ) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f15,axiom,(
% 0.17/0.56 (![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) ) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f18,axiom,(
% 0.17/0.56 (![P,Q,R]: (( ~ ap_contractE_c1(P,Q,R)| P = comb_app(combK,R) ) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f23,axiom,(
% 0.17/0.56 (![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)) ) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f24,axiom,(
% 0.17/0.56 (![P,Q,R]: (( ~ ap_contractE_c3(P,Q,R)| member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f27,axiom,(
% 0.17/0.56 (![P,Q,R]: (( ~ ap_contractE_c4(P,Q,R)| member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f30,axiom,(
% 0.17/0.56 (![R]: (~ member(pair(combK,R),contract) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f31,axiom,(
% 0.17/0.56 (![R]: (~ member(pair(combS,R),contract) ))),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f32,negated_conjecture,(
% 0.17/0.56 member(pair(comb_app(comb_app(combS,combK),combK),r),contract) ),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f33,plain,(
% 0.17/0.56 ~combK=combS),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.56 fof(f35,plain,(
% 0.17/0.56 ![X0,X1]: (~combS=comb_app(X0,X1))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.56 fof(f36,plain,(
% 0.17/0.56 ![P1,P2]: ((![Q1,Q2]: ~comb_app(P1,Q1)=comb_app(P2,Q2))|P1=P2)),
% 0.17/0.56 inference(miniscoping,[status(thm)],[f4])).
% 0.17/0.56 fof(f37,plain,(
% 0.17/0.56 ![X0,X1,X2,X3]: (~comb_app(X0,X1)=comb_app(X2,X3)|X0=X2)),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f36])).
% 0.17/0.56 fof(f51,plain,(
% 0.17/0.56 ![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))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.56 fof(f56,plain,(
% 0.17/0.56 ![P,R]: ((![Q]: ~ap_contractE_c1(P,Q,R))|P=comb_app(combK,R))),
% 0.17/0.56 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.56 fof(f57,plain,(
% 0.17/0.56 ![X0,X1,X2]: (~ap_contractE_c1(X0,X1,X2)|X0=comb_app(combK,X2))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f56])).
% 0.17/0.56 fof(f63,plain,(
% 0.17/0.56 ![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)))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/0.56 fof(f64,plain,(
% 0.17/0.56 ![X0,X1,X2]: (~ap_contractE_c3(X0,X1,X2)|member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/0.56 fof(f68,plain,(
% 0.17/0.56 ![X0,X1,X2]: (~ap_contractE_c4(X0,X1,X2)|member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.56 fof(f72,plain,(
% 0.17/0.56 ![X0]: (~member(pair(combK,X0),contract))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/0.56 fof(f73,plain,(
% 0.17/0.56 ![X0]: (~member(pair(combS,X0),contract))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.56 fof(f74,plain,(
% 0.17/0.56 member(pair(comb_app(comb_app(combS,combK),combK),r),contract)),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f32])).
% 0.17/0.56 fof(f89,plain,(
% 0.17/0.56 ap_contractE_c1(comb_app(combS,combK),combK,r)|ap_contractE_c2(comb_app(combS,combK),combK,r)|ap_contractE_c3(comb_app(combS,combK),combK,r)|ap_contractE_c4(comb_app(combS,combK),combK,r)),
% 0.17/0.56 inference(resolution,[status(thm)],[f51,f74])).
% 0.17/0.56 fof(f90,definition,(
% 0.17/0.56 sQ2_spl <=> (ap_contractE_c1(comb_app(combS,combK),combK,r))),
% 0.17/0.56 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.56 fof(f91,plain,(
% 0.17/0.56 ap_contractE_c1(comb_app(combS,combK),combK,r)|~sQ2_spl),
% 0.17/0.56 inference(component_clause,[status(thm)],[f90])).
% 0.17/0.56 fof(f93,definition,(
% 0.17/0.56 sQ3_spl <=> (ap_contractE_c2(comb_app(combS,combK),combK,r))),
% 0.17/0.56 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.56 fof(f94,plain,(
% 0.17/0.56 ap_contractE_c2(comb_app(combS,combK),combK,r)|~sQ3_spl),
% 0.17/0.56 inference(component_clause,[status(thm)],[f93])).
% 0.17/0.56 fof(f96,definition,(
% 0.17/0.56 sQ4_spl <=> (ap_contractE_c3(comb_app(combS,combK),combK,r))),
% 0.17/0.56 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.56 fof(f97,plain,(
% 0.17/0.56 ap_contractE_c3(comb_app(combS,combK),combK,r)|~sQ4_spl),
% 0.17/0.56 inference(component_clause,[status(thm)],[f96])).
% 0.17/0.56 fof(f99,definition,(
% 0.17/0.56 sQ5_spl <=> (ap_contractE_c4(comb_app(combS,combK),combK,r))),
% 0.17/0.56 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.56 fof(f100,plain,(
% 0.17/0.56 ap_contractE_c4(comb_app(combS,combK),combK,r)|~sQ5_spl),
% 0.17/0.56 inference(component_clause,[status(thm)],[f99])).
% 0.17/0.56 fof(f102,plain,(
% 0.17/0.56 sQ2_spl|sQ3_spl|sQ4_spl|sQ5_spl),
% 0.17/0.56 inference(split_clause,[status(thm)],[f89,f90,f93,f96,f99])).
% 0.17/0.56 fof(f103,plain,(
% 0.17/0.56 member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract)|~sQ5_spl),
% 0.17/0.56 inference(resolution,[status(thm)],[f100,f68])).
% 0.17/0.56 fof(f106,plain,(
% 0.17/0.56 $false|~sQ5_spl),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f103,f72])).
% 0.17/0.56 fof(f107,plain,(
% 0.17/0.56 ~sQ5_spl),
% 0.17/0.56 inference(contradiction_clause,[status(thm)],[f106])).
% 0.17/0.56 fof(f108,plain,(
% 0.17/0.56 member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract)|~sQ4_spl),
% 0.17/0.56 inference(resolution,[status(thm)],[f97,f64])).
% 0.17/0.56 fof(f147,plain,(
% 0.17/0.56 comb_app(combS,combK)=comb_app(combK,r)|~sQ2_spl),
% 0.17/0.56 inference(resolution,[status(thm)],[f91,f57])).
% 0.17/0.56 fof(f149,plain,(
% 0.17/0.56 combS=combK|~sQ2_spl),
% 0.17/0.56 inference(resolution,[status(thm)],[f147,f37])).
% 0.17/0.56 fof(f165,plain,(
% 0.17/0.56 $false|~sQ2_spl),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f149,f33])).
% 0.17/0.57 fof(f166,plain,(
% 0.17/0.57 ~sQ2_spl),
% 0.17/0.57 inference(contradiction_clause,[status(thm)],[f165])).
% 0.17/0.57 fof(f210,plain,(
% 0.17/0.57 ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|~sQ4_spl),
% 0.17/0.57 inference(resolution,[status(thm)],[f108,f51])).
% 0.17/0.57 fof(f211,definition,(
% 0.17/0.57 sQ14_spl <=> (ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))),
% 0.17/0.57 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.57 fof(f212,plain,(
% 0.17/0.57 ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|~sQ14_spl),
% 0.17/0.57 inference(component_clause,[status(thm)],[f211])).
% 0.17/0.57 fof(f214,definition,(
% 0.17/0.57 sQ15_spl <=> (ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))),
% 0.17/0.57 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.57 fof(f215,plain,(
% 0.17/0.57 ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|~sQ15_spl),
% 0.17/0.57 inference(component_clause,[status(thm)],[f214])).
% 0.17/0.57 fof(f217,definition,(
% 0.17/0.57 sQ16_spl <=> (ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))),
% 0.17/0.57 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.57 fof(f218,plain,(
% 0.17/0.57 ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|~sQ16_spl),
% 0.17/0.57 inference(component_clause,[status(thm)],[f217])).
% 0.17/0.57 fof(f220,definition,(
% 0.17/0.57 sQ17_spl <=> (ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))),
% 0.17/0.57 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/0.57 fof(f221,plain,(
% 0.17/0.57 ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|~sQ17_spl),
% 0.17/0.57 inference(component_clause,[status(thm)],[f220])).
% 0.17/0.57 fof(f223,plain,(
% 0.17/0.57 sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl|~sQ4_spl),
% 0.17/0.58 inference(split_clause,[status(thm)],[f210,f211,f214,f217,f220,f96])).
% 0.17/0.58 fof(f225,plain,(
% 0.17/0.58 member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)|~sQ17_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f221,f68])).
% 0.17/0.58 fof(f227,plain,(
% 0.17/0.58 $false|~sQ17_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f225,f72])).
% 0.17/0.58 fof(f228,plain,(
% 0.17/0.58 ~sQ17_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f227])).
% 0.17/0.58 fof(f230,plain,(
% 0.17/0.58 member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)|~sQ16_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f218,f64])).
% 0.17/0.58 fof(f232,plain,(
% 0.17/0.58 $false|~sQ16_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f230,f73])).
% 0.17/0.58 fof(f233,plain,(
% 0.17/0.58 ~sQ16_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f232])).
% 0.17/0.58 fof(f236,plain,(
% 0.17/0.58 combS=comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))|~sQ14_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f212,f57])).
% 0.17/0.58 fof(f239,plain,(
% 0.17/0.58 combS=comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))|~sQ15_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f215,f63])).
% 0.17/0.58 fof(f242,plain,(
% 0.17/0.58 $false|~sQ15_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f239,f35])).
% 0.17/0.58 fof(f243,plain,(
% 0.17/0.58 ~sQ15_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f242])).
% 0.17/0.58 fof(f246,plain,(
% 0.17/0.58 $false|~sQ14_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f236,f35])).
% 0.17/0.58 fof(f247,plain,(
% 0.17/0.58 ~sQ14_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f246])).
% 0.17/0.58 fof(f248,plain,(
% 0.17/0.58 comb_app(combS,combK)=comb_app(comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),ap_contractE_sk1q(comb_app(combS,combK),combK,r))|~sQ3_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f94,f63])).
% 0.17/0.58 fof(f332,plain,(
% 0.17/0.58 combS=comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r))|~sQ3_spl),
% 0.17/0.58 inference(resolution,[status(thm)],[f248,f37])).
% 0.17/0.58 fof(f348,plain,(
% 0.17/0.58 $false|~sQ3_spl),
% 0.17/0.58 inference(forward_subsumption_resolution,[status(thm)],[f332,f35])).
% 0.17/0.58 fof(f349,plain,(
% 0.17/0.58 ~sQ3_spl),
% 0.17/0.58 inference(contradiction_clause,[status(thm)],[f348])).
% 0.17/0.58 fof(f350,plain,(
% 0.17/0.58 $false),
% 0.17/0.58 inference(sat_refutation,[status(thm)],[f102,f107,f166,f223,f228,f233,f243,f247,f349])).
% 0.17/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.60 % Elapsed time: 0.125291 seconds
% 0.17/0.60 % CPU time: 0.554616 seconds
% 0.17/0.60 % Total memory used: 63.667 MB
% 0.17/0.60 % Net memory used: 63.105 MB
%------------------------------------------------------------------------------