%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN005-5 : 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 : n022.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 06:32:29 PM UTC 2025
% Result : Unsatisfiable 33.36s 4.59s
% Output : CNFRefutation 33.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_transitivity_of_divide_to_zero)
% Comments :
%------------------------------------------------------------------------------
cnf(7,plain,
divide(a,c) != zero,
inference(cnf,[status(esa)],[prove_transitivity_of_divide_to_zero]) ).
cnf(l0,plain,
divide(a,c) != zero,
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
inference(cnf,[status(esa)],[divide_and_equal]) ).
cnf(l1,plain,
( divide(divide(a,c),zero) != zero
| divide(zero,divide(a,c)) != zero
| divide(a,c) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l148,plain,
divide(zero,divide(a,c)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l7,plain,
( divide(zero,divide(divide(a,b),c)) != zero
| divide(divide(divide(a,b),c),zero) != zero
| zero = divide(divide(a,b),c) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l12,plain,
( divide(zero,divide(zero,divide(divide(a,b),c))) != zero
| divide(divide(zero,divide(divide(a,b),c)),zero) != zero
| zero = divide(zero,divide(divide(a,b),c)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l18,plain,
( divide(divide(divide(a,b),c),divide(divide(a,c),divide(b,c))) != zero
| divide(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)) != zero
| divide(divide(a,b),c) = divide(divide(a,c),divide(b,c)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
divide(b,c) = zero,
inference(cnf,[status(esa)],[b_divide_c_is_zero]) ).
cnf(l154,plain,
divide(b,c) = zero,
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l25,plain,
divide(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l15,plain,
divide(divide(zero,divide(divide(a,b),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(l123,plain,
divide(a,b) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l60,plain,
( divide(zero,divide(zero,divide(zero,divide(divide(a,b),c)))) != zero
| divide(divide(zero,divide(zero,divide(divide(a,b),c))),zero) != zero
| zero = divide(zero,divide(zero,divide(divide(a,b),c))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l69,plain,
divide(divide(zero,divide(zero,divide(divide(a,b),c))),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l47,plain,
divide(divide(divide(a,b),c),divide(a,b)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l110,plain,
divide(a,b) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l65,plain,
divide(zero,divide(zero,divide(zero,divide(divide(a,b),c)))) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l125,plain,
divide(b,c) = zero,
inference(instantiation,[status(thm)],[6]) ).
cnf(l119,plain,
divide(zero,divide(divide(a,c),zero)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l118,plain,
divide(zero,c) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l148,l7,l12,l18,l154,l25,l15,l123,l60,l69,l47,l110,l65,l125,l119,l118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN005-5 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 17:33:49 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: 2
% 0.12/0.33 % launching worker at depth: 4
% 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
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.39 % launching worker at depth: 12
% 0.18/0.53 % launching worker at depth: 13
% 21.53/3.09 % launching worker at depth: 14
% 33.36/4.59 % SZS status Theorem for theBenchmark
% 33.36/4.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------