%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN004-5 : 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 : 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 06:32:28 PM UTC 2025
% Result : Unsatisfiable 101.38s 13.04s
% Output : CNFRefutation 101.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_x_divide_zero_is_x)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
divide(a,zero) != a,
inference(cnf,[status(esa)],[prove_x_divide_zero_is_x]) ).
cnf(l0,plain,
divide(a,zero) != a,
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(a,divide(a,zero)) != zero
| divide(divide(a,zero),a) != zero
| a = divide(a,zero) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
( divide(divide(a,divide(a,zero)),zero) != zero
| divide(zero,divide(a,divide(a,zero))) != zero
| divide(a,divide(a,zero)) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l325,plain,
divide(zero,divide(a,divide(a,divide(X0_380,X0_380)))) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
divide(X0,identity) = zero,
inference(cnf,[status(esa)],[identity_is_largest]) ).
cnf(l6,plain,
divide(divide(zero,X0_309),identity) = zero,
inference(instantiation,[status(thm)],[4]) ).
cnf(l14,plain,
( divide(divide(divide(a,divide(a,zero)),zero),zero) != zero
| divide(zero,divide(divide(a,divide(a,zero)),zero)) != zero
| divide(divide(a,divide(a,zero)),zero) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l380,plain,
divide(X0_380,X0_380) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l45,plain,
( divide(divide(zero,divide(divide(a,divide(a,zero)),zero)),zero) != zero
| divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero))) != zero
| divide(zero,divide(divide(a,divide(a,zero)),zero)) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l59,plain,
divide(divide(zero,divide(divide(a,divide(a,zero)),zero)),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l53,plain,
( divide(divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero))),zero) != zero
| divide(zero,divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero)))) != zero
| divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero))) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l290,plain,
divide(X0_425,X0_425) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l69,plain,
divide(divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero))),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l177,plain,
( divide(zero,divide(zero,divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero))))) != zero
| divide(divide(zero,divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero)))),zero) != zero
| zero = divide(zero,divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l178,plain,
divide(divide(zero,divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero)))),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l136,plain,
divide(divide(a,zero),divide(a,zero)) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l180,plain,
divide(zero,divide(zero,divide(zero,divide(zero,divide(divide(a,divide(a,zero)),zero))))) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l256,plain,
divide(zero,divide(a,zero)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l296,plain,
divide(zero,identity) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l428,plain,
divide(divide(a,divide(zero,X0_320)),a) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l425,plain,
divide(X0_425,X0_425) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l320,plain,
divide(zero,X0_320) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l309,plain,
divide(zero,X0_309) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l124,plain,
divide(divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))),divide(divide(a,zero),divide(a,zero))) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l7,l325,l6,l14,l380,l45,l59,l53,l290,l69,l177,l178,l136,l180,l256,l296,l428,l425,l320,l309,l124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN004-5 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 17:32:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 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: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.19/0.40 % launching worker at depth: 12
% 0.19/0.49 % launching worker at depth: 13
% 14.48/2.20 % launching worker at depth: 14
% 101.38/13.04 % SZS status Theorem for theBenchmark
% 101.38/13.04 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------