%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL090-3 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 10:52:22 AM UTC 2025
% Result : Unsatisfiable 12.01s 1.86s
% Output : CNFRefutation 12.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_contract_E)
% Comments :
%------------------------------------------------------------------------------
cnf(23,plain,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
inference(cnf,[status(esa)],[i_contract_E]) ).
cnf(l0,plain,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
inference(instantiation,[status(thm)],[23]) ).
cnf(6,plain,
( ~ member(pair(comb_app(X0,X1),X2),contract)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c4(X0,X1,X2)
| ap_contractE_c1(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2) ),
inference(cnf,[status(esa)],[ap_contractE1]) ).
cnf(l1,plain,
( ~ member(pair(comb_app(comb_app(combS,combK),combK),r),contract)
| ap_contractE_c3(comb_app(combS,combK),combK,r)
| ap_contractE_c4(comb_app(combS,combK),combK,r)
| ap_contractE_c1(comb_app(combS,combK),combK,r)
| ap_contractE_c2(comb_app(combS,combK),combK,r) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(14,plain,
( ~ ap_contractE_c2(X0,X1,X2)
| X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) ),
inference(cnf,[status(esa)],[ap_contractE9]) ).
cnf(l102,plain,
( ~ ap_contractE_c2(comb_app(combS,combK),combK,r)
| 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)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(18,plain,
( ~ ap_contractE_c4(X0,X1,X2)
| member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
inference(cnf,[status(esa)],[ap_contractE13]) ).
cnf(l96,plain,
( ~ ap_contractE_c4(comb_app(combS,combK),combK,r)
| member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(3,plain,
( comb_app(X0,X1) != comb_app(X2,X3)
| X0 = X2 ),
inference(cnf,[status(esa)],[app_app1]) ).
cnf(l238,plain,
( comb_app(combS,comb_app(combS,combK)) != comb_app(comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),comb_app(comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),ap_contractE_sk1q(comb_app(combS,combK),combK,r)))
| combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l135,plain,
( 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))
| combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
combS != comb_app(X0,X1),
inference(cnf,[status(esa)],[s_app]) ).
cnf(l264,plain,
combS != comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),
inference(instantiation,[status(thm)],[2]) ).
cnf(9,plain,
( ~ ap_contractE_c1(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
inference(cnf,[status(esa)],[ap_contractE4]) ).
cnf(l3,plain,
( ~ ap_contractE_c1(comb_app(combS,combK),combK,r)
| comb_app(combS,combK) = comb_app(combK,r) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(21,plain,
~ member(pair(combK,X0),contract),
inference(cnf,[status(esa)],[k_contractE]) ).
cnf(l97,plain,
~ member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract),
inference(instantiation,[status(thm)],[21]) ).
cnf(4,plain,
( comb_app(X0,X1) != comb_app(X2,X3)
| X1 = X3 ),
inference(cnf,[status(esa)],[app_app2]) ).
cnf(l90,plain,
( comb_app(comb_app(combS,combK),combK) != comb_app(comb_app(combK,r),combS)
| combK = combS ),
inference(instantiation,[status(thm)],[4]) ).
cnf(15,plain,
( ~ ap_contractE_c3(X0,X1,X2)
| member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
inference(cnf,[status(esa)],[ap_contractE10]) ).
cnf(l7,plain,
( ~ ap_contractE_c3(comb_app(combS,combK),combK,r)
| member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(0,plain,
combK != combS,
inference(cnf,[status(esa)],[k_s]) ).
cnf(l313,plain,
combK != combS,
inference(instantiation,[status(thm)],[0]) ).
cnf(l67,plain,
( comb_app(combK,r) != comb_app(combS,combK)
| combK = combS ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l101,plain,
( ~ member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract)
| 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))
| 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)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l234,plain,
( ~ ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l236,plain,
( ~ ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| 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))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l158,plain,
( ~ ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l235,plain,
~ member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract),
inference(instantiation,[status(thm)],[21]) ).
cnf(22,plain,
~ member(pair(combS,X0),contract),
inference(cnf,[status(esa)],[s_contractE]) ).
cnf(l163,plain,
~ member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract),
inference(instantiation,[status(thm)],[22]) ).
cnf(l242,plain,
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))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l166,plain,
( ~ ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| combS = comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l184,plain,
combS != comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l102,l96,l238,l135,l264,l3,l97,l90,l7,l313,l67,l101,l234,l236,l158,l235,l163,l242,l166,l184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL090-3 : TPTP v9.0.0. Released v2.7.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 05:57:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.38 % launching worker at depth: 11
% 0.18/0.50 % launching worker at depth: 12
% 12.01/1.86 % SZS status Theorem for theBenchmark
% 12.01/1.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------