%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN005-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 06:32:28 PM UTC 2025
% Result : Unsatisfiable 47.01s 6.27s
% Output : CNFRefutation 47.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_LE_c)
% Comments :
%------------------------------------------------------------------------------
cnf(9,plain,
~ less_equal(a,c),
inference(cnf,[status(esa)],[prove_a_LE_c]) ).
cnf(l0,plain,
~ less_equal(a,c),
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l1,plain,
( divide(a,c) != zero
| less_equal(a,c) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(cnf,[status(esa)],[quotient_less_equal1]) ).
cnf(l4,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
less_equal(a,b),
inference(cnf,[status(esa)],[a_LE_b]) ).
cnf(l1061,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[less_equal_and_equal]) ).
cnf(l7,plain,
( ~ less_equal(divide(a,b),divide(a,c))
| ~ less_equal(divide(a,c),divide(a,b))
| divide(a,b) = divide(a,c) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l10,plain,
( divide(divide(a,c),divide(a,b)) != zero
| less_equal(divide(a,c),divide(a,b)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
( divide(divide(a,b),divide(a,c)) != zero
| less_equal(divide(a,b),divide(a,c)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ less_equal(divide(divide(a,c),divide(a,b)),zero)
| ~ less_equal(zero,divide(divide(a,c),divide(a,b)))
| divide(divide(a,c),divide(a,b)) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l21,plain,
( ~ less_equal(divide(divide(a,b),divide(a,c)),divide(zero,zero))
| ~ less_equal(divide(zero,zero),divide(divide(a,b),divide(a,c)))
| divide(divide(a,b),divide(a,c)) = divide(zero,zero) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l504,plain,
less_equal(zero,divide(divide(a,c),divide(a,b))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l33,plain,
( ~ less_equal(zero,divide(zero,zero))
| ~ less_equal(divide(zero,zero),zero)
| zero = divide(zero,zero) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l35,plain,
( divide(zero,divide(zero,zero)) != zero
| less_equal(zero,divide(zero,zero)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l147,plain,
( ~ less_equal(divide(zero,divide(zero,zero)),zero)
| ~ less_equal(zero,divide(zero,divide(zero,zero)))
| divide(zero,divide(zero,zero)) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l878,plain,
less_equal(divide(divide(a,b),divide(a,c)),divide(a,b)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l39,plain,
less_equal(divide(zero,zero),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l148,plain,
less_equal(zero,divide(zero,divide(zero,zero))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l134,plain,
( ~ less_equal(zero,divide(zero,zero))
| ~ less_equal(divide(zero,zero),zero)
| zero = divide(zero,zero) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l135,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l178,plain,
less_equal(divide(zero,divide(zero,zero)),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l64,plain,
( ~ less_equal(divide(zero,c),zero)
| ~ less_equal(zero,divide(zero,c))
| divide(zero,c) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l153,plain,
less_equal(zero,divide(zero,c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l166,plain,
less_equal(zero,divide(zero,zero)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l163,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(l94,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l896,plain,
less_equal(divide(zero,zero),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l107,plain,
less_equal(divide(zero,c),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l32,plain,
( ~ less_equal(divide(zero,X1_957),zero)
| ~ less_equal(zero,divide(zero,X1_957))
| divide(zero,X1_957) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l531,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l1064,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(l1077,plain,
less_equal(zero,divide(zero,X1_957)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l957,plain,
less_equal(divide(zero,X1_957),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l1119,plain,
less_equal(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l122,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(l1113,plain,
( ~ less_equal(b,c)
| divide(b,c) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
less_equal(b,c),
inference(cnf,[status(esa)],[b_LE_c]) ).
cnf(l1114,plain,
less_equal(b,c),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1078,plain,
( ~ less_equal(zero,divide(zero,divide(zero,X1_957)))
| ~ less_equal(divide(zero,divide(zero,X1_957)),zero)
| zero = divide(zero,divide(zero,X1_957)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1112,plain,
less_equal(divide(zero,divide(zero,X1_957)),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1099,plain,
less_equal(zero,divide(zero,divide(zero,X1_957))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1105,plain,
less_equal(zero,divide(divide(a,b),divide(a,c))),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l1061,l7,l10,l8,l14,l21,l504,l33,l35,l147,l878,l39,l148,l134,l135,l178,l64,l153,l166,l163,l94,l896,l107,l32,l531,l1064,l1077,l957,l1119,l122,l1113,l1114,l1078,l1112,l1099,l1105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN005-3 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 17:33:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.34 % launching worker at depth: 11
% 0.13/0.36 % launching worker at depth: 12
% 0.19/0.49 % launching worker at depth: 13
% 9.55/1.53 % launching worker at depth: 14
% 47.01/6.27 % SZS status Theorem for theBenchmark
% 47.01/6.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------