%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN008-5 : 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 : n032.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 06:32:31 PM UTC 2025
% Result : Unsatisfiable 13.59s 2.00s
% Output : CNFRefutation 13.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_property_of_divide3)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
divide(divide(a,c),divide(b,c)) != zero,
inference(cnf,[status(esa)],[prove_property_of_divide3]) ).
cnf(l0,plain,
divide(divide(a,c),divide(b,c)) != zero,
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
inference(cnf,[status(esa)],[divide_and_equal]) ).
cnf(l2,plain,
( divide(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)) != zero
| divide(divide(divide(a,b),c),divide(divide(a,c),divide(b,c))) != zero
| divide(divide(a,c),divide(b,c)) = divide(divide(a,b),c) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l7,plain,
divide(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
( divide(divide(zero,c),zero) != zero
| divide(zero,divide(zero,c)) != zero
| divide(zero,c) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l24,plain,
divide(zero,divide(zero,c)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l23,plain,
divide(divide(zero,c),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
divide(a,b) = zero,
inference(cnf,[status(esa)],[a_divide_b_is_zero]) ).
cnf(l29,plain,
divide(a,b) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l10,plain,
( divide(divide(zero,divide(divide(a,c),divide(b,c))),zero) != zero
| divide(zero,divide(zero,divide(divide(a,c),divide(b,c)))) != zero
| divide(zero,divide(divide(a,c),divide(b,c))) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l19,plain,
divide(a,b) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l17,plain,
divide(zero,c) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l40,plain,
divide(zero,divide(zero,divide(divide(a,c),divide(b,c)))) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l34,plain,
divide(divide(zero,divide(divide(a,c),divide(b,c))),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l7,l13,l24,l23,l29,l10,l19,l17,l40,l34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : HEN008-5 : TPTP v9.0.0. Released v1.0.0.
% 0.02/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sun Jul 20 17:37:19 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % launching worker at depth: 2
% 0.10/0.30 % launching worker at depth: 8
% 0.10/0.30 % launching worker at depth: 3
% 0.10/0.30 % launching worker at depth: 1
% 0.10/0.30 % launching worker at depth: 4
% 0.10/0.30 % launching worker at depth: 6
% 0.10/0.30 % launching worker at depth: 7
% 0.10/0.30 % launching worker at depth: 5
% 0.10/0.30 % launching worker at depth: 9
% 0.10/0.30 % launching worker at depth: 10
% 0.10/0.30 % launching worker at depth: 11
% 0.14/0.33 % launching worker at depth: 12
% 2.14/0.59 % launching worker at depth: 13
% 13.59/2.00 % SZS status Theorem for theBenchmark
% 13.59/2.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------