%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HEN010-5 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 : Tue May 5 04:28:35 PM UTC 2026
% Result : Unsatisfiable 6.17s 4.54s
% Output : CNFRefutation 6.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of clauses : 32 ( 19 unt; 0 nHn; 14 RR)
% Number of literals : 49 ( 48 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_and_equal,axiom,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(zero_is_smallest,axiom,
divide(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(property_of_divide1,axiom,
( divide(divide(X1,X3),X2) = zero
| divide(divide(X1,X2),X3) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X1,X2),X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(transitivity_of_divide_to_zero,axiom,
( divide(X1,X3) = zero
| divide(X1,X2) != zero
| divide(X2,X3) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
cnf(quotient_property,axiom,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(prove_this,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_7,axiom,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
divide_and_equal ).
cnf(c_0_8,axiom,
divide(zero,X1) = zero,
zero_is_smallest ).
cnf(c_0_9,axiom,
( divide(divide(X1,X3),X2) = zero
| divide(divide(X1,X2),X3) != zero ),
property_of_divide1 ).
cnf(c_0_10,axiom,
divide(divide(X1,X2),X1) = zero,
quotient_smaller_than_numerator ).
cnf(c_0_11,plain,
( X1 = zero
| divide(X1,zero) != zero ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
divide(divide(X1,X1),X2) = zero,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
( divide(X1,X3) = zero
| divide(X1,X2) != zero
| divide(X2,X3) != zero ),
transitivity_of_divide_to_zero ).
cnf(c_0_14,plain,
divide(X1,X1) = zero,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( divide(X1,X2) = zero
| divide(X1,divide(X2,X3)) != zero ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_16,plain,
divide(divide(X1,divide(X1,X2)),X2) = zero,
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,axiom,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
quotient_property ).
cnf(c_0_18,plain,
divide(divide(X1,divide(X1,divide(X2,X3))),X2) = zero,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
divide(X1,divide(X1,zero)) = zero,
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_20,plain,
( divide(X1,divide(divide(X2,X3),X4)) = zero
| divide(X1,divide(divide(X2,X4),divide(X3,X4))) != zero ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_21,plain,
divide(divide(X1,X2),divide(X1,divide(X2,X3))) = zero,
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_22,plain,
divide(X1,zero) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_10])]) ).
cnf(c_0_23,plain,
( divide(X1,divide(X1,X2)) = X2
| divide(X2,divide(X1,divide(X1,X2))) != zero ),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_24,plain,
divide(divide(divide(X1,X2),X3),divide(divide(X1,X3),X2)) = zero,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( divide(X1,divide(divide(X2,divide(X3,divide(X3,X4))),X4)) = zero
| divide(X1,divide(X2,X4)) != zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_22]) ).
cnf(c_0_26,plain,
divide(divide(X1,X2),X3) = divide(divide(X1,X3),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_22]),c_0_22]),c_0_24])]) ).
cnf(c_0_27,plain,
( divide(X1,X2) = X1
| divide(X1,divide(X1,X2)) != zero ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_28,plain,
( divide(X1,divide(divide(X2,X3),divide(X4,divide(X4,X3)))) = zero
| divide(X1,divide(X2,X3)) != zero ),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
prove_this ).
cnf(c_0_30,plain,
divide(divide(X1,X2),divide(X3,divide(X3,X2))) = divide(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_14])]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-5 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n020.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:09:50 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.17/4.54 % Version : CSE_E---1.7
% 6.17/4.54 % Problem : theBenchmark.p
% 6.17/4.54 % SZS status Unsatisfiable for theBenchmark.p
% 6.17/4.54 % SZS output start CNFRefutation
% See solution above
% 6.17/4.56 % Total time : 3.371s
%------------------------------------------------------------------------------