%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS010-1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 08:46:31 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_1)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
e(exist),
inference(cnf,[status(esa)],[clause_1]) ).
cnf(l0,plain,
e(exist),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ e(X0)
| r3least(X0) ),
inference(cnf,[status(esa)],[clause_7]) ).
cnf(l1,plain,
( ~ e(exist)
| r3least(exist) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(21,plain,
( ~ r3least(X0)
| r(X0,u2r1(X0)) ),
inference(cnf,[status(esa)],[clause_22]) ).
cnf(l2,plain,
( ~ r3least(exist)
| r(exist,u2r1(exist)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(5,plain,
( ~ e(X0)
| ~ c(X1)
| ~ c(X2)
| ~ r(X0,X1)
| ~ r(X0,X2)
| equalish(X1,X2) ),
inference(cnf,[status(esa)],[clause_6]) ).
cnf(l5,plain,
( ~ e(exist)
| ~ c(u2r3(exist))
| ~ c(u2r1(exist))
| ~ r(exist,u2r3(exist))
| ~ r(exist,u2r1(exist))
| equalish(u2r3(exist),u2r1(exist)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ a(X0)
| c(X0)
| d(X0) ),
inference(cnf,[status(esa)],[clause_3]) ).
cnf(l10,plain,
( ~ a(u2r1(exist))
| c(u2r1(exist))
| d(u2r1(exist)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
( ~ a(u2r3(exist))
| c(u2r3(exist))
| d(u2r3(exist)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(19,plain,
( ~ equalish(u2r3(X0),u2r1(X0))
| ~ r3least(X0) ),
inference(cnf,[status(esa)],[clause_20]) ).
cnf(l9,plain,
( ~ equalish(u2r3(exist),u2r1(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(7,plain,
( ~ e(X0)
| ~ r(X0,X1)
| a(X1) ),
inference(cnf,[status(esa)],[clause_8]) ).
cnf(l12,plain,
( ~ e(exist)
| ~ r(exist,u2r3(exist))
| a(u2r3(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(30,plain,
( ~ d(X0)
| ~ d(X1)
| ~ r(X2,X0)
| ~ r(X2,X1)
| equalish(X0,X1)
| f(X2) ),
inference(cnf,[status(esa)],[clause_31]) ).
cnf(l17,plain,
( ~ d(u2r3(exist))
| ~ d(u2r1(exist))
| ~ r(exist,u2r3(exist))
| ~ r(exist,u2r1(exist))
| equalish(u2r3(exist),u2r1(exist))
| f(exist) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(23,plain,
( ~ r3least(X0)
| r(X0,u2r3(X0)) ),
inference(cnf,[status(esa)],[clause_24]) ).
cnf(l16,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l23,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l8,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l20,plain,
( ~ a(u2r1(exist))
| c(u2r1(exist))
| d(u2r1(exist)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l19,plain,
( ~ equalish(u2r3(exist),u2r1(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l11,plain,
( ~ d(u2r3(exist))
| ~ d(u2r1(exist))
| ~ r(exist,u2r3(exist))
| ~ r(exist,u2r1(exist))
| equalish(u2r3(exist),u2r1(exist))
| f(exist) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(1,plain,
~ f(exist),
inference(cnf,[status(esa)],[clause_2]) ).
cnf(l21,plain,
~ f(exist),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ a(u2r3(exist))
| c(u2r3(exist))
| d(u2r3(exist)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l18,plain,
( ~ e(exist)
| ~ r(exist,u2r1(exist))
| a(u2r1(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l13,plain,
( ~ equalish(u2r3(exist),u2r1(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l22,plain,
( ~ e(exist)
| ~ r(exist,u2r1(exist))
| a(u2r1(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l26,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l24,plain,
( ~ e(exist)
| ~ c(u2r3(exist))
| ~ c(u2r2(exist))
| ~ r(exist,u2r3(exist))
| ~ r(exist,u2r2(exist))
| equalish(u2r3(exist),u2r2(exist)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l52,plain,
( ~ e(exist)
| ~ c(u2r2(exist))
| ~ c(u2r1(exist))
| ~ r(exist,u2r2(exist))
| ~ r(exist,u2r1(exist))
| equalish(u2r2(exist),u2r1(exist)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l28,plain,
( ~ e(exist)
| ~ r(exist,u2r3(exist))
| a(u2r3(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l90,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l85,plain,
( ~ a(u2r2(exist))
| c(u2r2(exist))
| d(u2r2(exist)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(18,plain,
( ~ equalish(u2r2(X0),u2r1(X0))
| ~ r3least(X0) ),
inference(cnf,[status(esa)],[clause_19]) ).
cnf(l53,plain,
( ~ equalish(u2r2(exist),u2r1(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l93,plain,
( ~ d(u2r2(exist))
| ~ d(u2r1(exist))
| ~ r(exist,u2r2(exist))
| ~ r(exist,u2r1(exist))
| equalish(u2r2(exist),u2r1(exist))
| f(exist) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(20,plain,
( ~ equalish(u2r3(X0),u2r2(X0))
| ~ r3least(X0) ),
inference(cnf,[status(esa)],[clause_21]) ).
cnf(l84,plain,
( ~ equalish(u2r3(exist),u2r2(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(22,plain,
( ~ r3least(X0)
| r(X0,u2r2(X0)) ),
inference(cnf,[status(esa)],[clause_23]) ).
cnf(l58,plain,
( ~ r3least(exist)
| r(exist,u2r2(exist)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l75,plain,
( ~ a(u2r2(exist))
| c(u2r2(exist))
| d(u2r2(exist)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l83,plain,
( ~ r3least(exist)
| r(exist,u2r2(exist)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l100,plain,
( ~ d(u2r3(exist))
| ~ d(u2r2(exist))
| ~ r(exist,u2r3(exist))
| ~ r(exist,u2r2(exist))
| equalish(u2r3(exist),u2r2(exist))
| f(exist) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l94,plain,
( ~ r3least(exist)
| r(exist,u2r2(exist)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l118,plain,
( ~ equalish(u2r3(exist),u2r2(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l89,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l116,plain,
( ~ r3least(exist)
| r(exist,u2r3(exist)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l86,plain,
( ~ e(exist)
| ~ r(exist,u2r2(exist))
| a(u2r2(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l15,plain,
~ f(exist),
inference(instantiation,[status(thm)],[1]) ).
cnf(l110,plain,
( ~ equalish(u2r2(exist),u2r1(exist))
| ~ r3least(exist) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l95,plain,
( ~ e(exist)
| ~ r(exist,u2r2(exist))
| a(u2r2(exist)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l115,plain,
~ f(exist),
inference(instantiation,[status(thm)],[1]) ).
cnf(l112,plain,
( ~ r3least(exist)
| r(exist,u2r2(exist)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l117,plain,
( ~ r3least(exist)
| r(exist,u2r2(exist)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l114,plain,
( ~ r3least(exist)
| r(exist,u2r2(exist)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l108,plain,
~ f(exist),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l10,l6,l9,l12,l17,l16,l23,l8,l20,l19,l11,l21,l14,l18,l13,l22,l26,l24,l52,l28,l90,l85,l53,l93,l84,l58,l75,l83,l100,l94,l118,l89,l116,l86,l15,l110,l95,l115,l112,l117,l114,l108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS010-1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 22:00:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 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: 2
% 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: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.12/0.35 % launching worker at depth: 12
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------