%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN003-5 : 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 : n027.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 55.31s 7.30s
% Output : CNFRefutation 55.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_x_divide_x_is_zero)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
divide(a,a) != zero,
inference(cnf,[status(esa)],[prove_x_divide_x_is_zero]) ).
cnf(l0,plain,
divide(a,a) != zero,
inference(instantiation,[status(thm)],[5]) ).
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(a,a),divide(divide(divide(identity,X1_106),identity),a)) != zero
| divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a)) != zero
| divide(a,a) = divide(divide(divide(identity,X1_106),identity),a) ),
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(l137,plain,
divide(divide(divide(X0_107,X1_107),divide(X2_107,X1_107)),divide(divide(X0_107,X2_107),X1_107)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
( divide(divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a)),divide(divide(divide(X0_107,X1_107),divide(X2_107,X1_107)),divide(divide(X0_107,X2_107),X1_107))) != zero
| divide(divide(divide(divide(X0_107,X1_107),divide(X2_107,X1_107)),divide(divide(X0_107,X2_107),X1_107)),divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a))) != zero
| divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a)) = divide(divide(divide(X0_107,X1_107),divide(X2_107,X1_107)),divide(divide(X0_107,X2_107),X1_107)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
( divide(zero,divide(divide(divide(identity,X1_106),identity),a)) != zero
| divide(divide(divide(divide(identity,X1_106),identity),a),zero) != zero
| zero = divide(divide(divide(identity,X1_106),identity),a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l138,plain,
divide(zero,a) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l146,plain,
( divide(divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a)),divide(zero,a)) != zero
| divide(divide(zero,a),divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a))) != zero
| divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a)) = divide(zero,a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l8,plain,
divide(zero,divide(divide(divide(identity,X1_106),identity),a)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l47,plain,
divide(divide(divide(X0_107,X1_107),divide(X2_107,X1_107)),divide(divide(X0_107,X2_107),X1_107)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
( divide(zero,divide(divide(divide(X0_123,X1_123),divide(X2_123,X1_123)),divide(divide(X0_123,X2_123),X1_123))) != zero
| divide(divide(divide(divide(X0_123,X1_123),divide(X2_123,X1_123)),divide(divide(X0_123,X2_123),X1_123)),zero) != zero
| zero = divide(divide(divide(X0_123,X1_123),divide(X2_123,X1_123)),divide(divide(X0_123,X2_123),X1_123)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l194,plain,
( divide(zero,divide(zero,a)) != zero
| divide(divide(zero,a),zero) != zero
| zero = divide(zero,a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l77,plain,
divide(divide(a,divide(divide(identity,X1_106),identity)),a) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l276,plain,
divide(zero,divide(zero,a)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l277,plain,
divide(divide(zero,a),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l92,plain,
( divide(divide(zero,zero),zero) != zero
| divide(zero,divide(zero,zero)) != zero
| divide(zero,zero) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l98,plain,
divide(divide(zero,zero),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l93,plain,
divide(zero,divide(zero,zero)) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l206,plain,
divide(divide(divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a)),divide(divide(divide(identity,X1_106),identity),a)),divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a))) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l100,plain,
divide(divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a)),divide(divide(a,divide(divide(identity,X1_106),identity)),a)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l107,plain,
divide(divide(divide(X0_107,X1_107),divide(X2_107,X1_107)),divide(divide(X0_107,X2_107),X1_107)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l113,plain,
divide(divide(divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a)),divide(divide(a,divide(divide(identity,X1_106),identity)),a)),divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a))) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l95,plain,
divide(divide(divide(X0_123,X1_123),divide(X2_123,X1_123)),divide(divide(X0_123,X2_123),X1_123)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l110,plain,
divide(divide(divide(a,a),divide(divide(divide(identity,X1_106),identity),a)),divide(divide(a,divide(divide(identity,X1_106),identity)),a)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l106,plain,
divide(divide(identity,X1_106),identity) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l211,plain,
divide(divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a)),divide(divide(divide(identity,X1_106),identity),a)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l88,plain,
divide(divide(divide(X0_123,X1_123),divide(X2_123,X1_123)),divide(divide(X0_123,X2_123),X1_123)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l105,plain,
divide(divide(divide(divide(identity,X1_106),identity),a),divide(divide(identity,X1_106),identity)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l102,plain,
divide(zero,zero) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l123,plain,
divide(divide(divide(X0_123,X1_123),divide(X2_123,X1_123)),divide(divide(X0_123,X2_123),X1_123)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l191,plain,
divide(divide(divide(divide(divide(identity,X1_106),identity),a),divide(a,a)),divide(divide(divide(identity,X1_106),identity),a)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
divide(X0,identity) = zero,
inference(cnf,[status(esa)],[identity_is_largest]) ).
cnf(l217,plain,
divide(divide(identity,X1_106),identity) = zero,
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l137,l10,l6,l138,l146,l8,l47,l55,l194,l77,l276,l277,l92,l98,l93,l206,l100,l107,l113,l95,l110,l106,l211,l88,l105,l102,l123,l191,l217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN003-5 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 17:31:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 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: 6
% 0.12/0.34 % launching worker at depth: 3
% 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
% 0.12/0.37 % launching worker at depth: 12
% 2.28/0.62 % launching worker at depth: 13
% 29.32/4.04 % launching worker at depth: 14
% 55.31/7.30 % SZS status Theorem for theBenchmark
% 55.31/7.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------