%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN008-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 06:32:30 PM UTC 2025
% Result : Unsatisfiable 97.90s 12.66s
% Output : CNFRefutation 97.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_aQcLEbQc)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
~ less_equal(aQc,bQc),
inference(cnf,[status(esa)],[prove_aQcLEbQc]) ).
cnf(l0,plain,
~ less_equal(aQc,bQc),
inference(instantiation,[status(thm)],[12]) ).
cnf(1,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[less_equal_quotient]) ).
cnf(l1,plain,
( ~ quotient(aQc,bQc,zero)
| less_equal(aQc,bQc) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
quotient(X0,X1,divide(X0,X1)),
inference(cnf,[status(esa)],[closure]) ).
cnf(l7,plain,
quotient(divide(a,c),divide(b,c),divide(divide(a,c),divide(b,c))),
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(l10,plain,
( ~ less_equal(divide(divide(a,c),divide(b,c)),zero)
| ~ less_equal(zero,divide(divide(a,c),divide(b,c)))
| divide(divide(a,c),divide(b,c)) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[well_defined]) ).
cnf(l6,plain,
( ~ quotient(a,c,aQc)
| ~ quotient(a,c,divide(a,c))
| aQc = divide(a,c) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l39,plain,
less_equal(zero,divide(divide(a,c),divide(b,c))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l17,plain,
quotient(a,c,divide(a,c)),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ quotient(X1,X3,X5)
| ~ quotient(X2,X3,X6)
| ~ quotient(X4,X5,X7)
| less_equal(X7,X6) ),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l44,plain,
( ~ quotient(a,b,zero)
| ~ quotient(a,c,divide(a,c))
| ~ quotient(b,c,divide(b,c))
| ~ quotient(zero,c,zero)
| ~ quotient(divide(a,c),divide(b,c),divide(divide(a,c),divide(b,c)))
| less_equal(divide(divide(a,c),divide(b,c)),zero) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l53,plain,
quotient(b,c,divide(b,c)),
inference(instantiation,[status(thm)],[7]) ).
cnf(l81,plain,
quotient(divide(a,c),divide(b,c),divide(divide(a,c),divide(b,c))),
inference(instantiation,[status(thm)],[7]) ).
cnf(l51,plain,
quotient(a,c,divide(a,c)),
inference(instantiation,[status(thm)],[7]) ).
cnf(10,plain,
quotient(a,c,aQc),
inference(cnf,[status(esa)],[aQc]) ).
cnf(l14,plain,
quotient(a,c,aQc),
inference(instantiation,[status(thm)],[10]) ).
cnf(l9,plain,
( ~ quotient(b,c,bQc)
| ~ quotient(b,c,divide(b,c))
| bQc = divide(b,c) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
quotient(b,c,bQc),
inference(cnf,[status(esa)],[bQc]) ).
cnf(l25,plain,
quotient(b,c,bQc),
inference(instantiation,[status(thm)],[11]) ).
cnf(l32,plain,
quotient(b,c,divide(b,c)),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
inference(cnf,[status(esa)],[quotient_less_equal]) ).
cnf(l77,plain,
( ~ less_equal(zero,c)
| quotient(zero,c,zero) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l78,plain,
less_equal(zero,c),
inference(instantiation,[status(thm)],[4]) ).
cnf(l45,plain,
( ~ less_equal(a,b)
| quotient(a,b,zero) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
less_equal(a,b),
inference(cnf,[status(esa)],[aLEb]) ).
cnf(l49,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l10,l6,l39,l17,l44,l53,l81,l51,l14,l9,l25,l32,l77,l78,l45,l49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN008-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 17:36:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 1.78/0.60 % launching worker at depth: 12
% 40.48/5.42 % launching worker at depth: 13
% 97.90/12.66 % SZS status Theorem for theBenchmark
% 97.90/12.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------