%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HEN009-5 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 04:28:34 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.74s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 9 RR)
% Number of literals : 30 ( 29 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 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 : 33 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_and_equal,axiom,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(zero_is_smallest,axiom,
divide(zero,X1) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X1,X2),X1) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(property_of_divide2,axiom,
( divide(divide(X3,X2),divide(X3,X1)) = zero
| divide(X1,X2) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
cnf(prove_this,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_6,axiom,
( X1 = X2
| divide(X1,X2) != zero
| divide(X2,X1) != zero ),
divide_and_equal ).
cnf(c_0_7,axiom,
divide(zero,X1) = zero,
zero_is_smallest ).
cnf(c_0_8,axiom,
( divide(divide(X1,X3),X2) = zero
| divide(divide(X1,X2),X3) != zero ),
property_of_divide1 ).
cnf(c_0_9,axiom,
divide(divide(X1,X2),X1) = zero,
quotient_smaller_than_numerator ).
cnf(c_0_10,plain,
( X1 = zero
| divide(X1,zero) != zero ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
divide(divide(X1,X1),X2) = zero,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
( divide(divide(X3,X2),divide(X3,X1)) = zero
| divide(X1,X2) != zero ),
property_of_divide2 ).
cnf(c_0_13,plain,
divide(X1,X1) = zero,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( divide(X1,X2) = divide(X1,X3)
| divide(divide(X1,X2),divide(X1,X3)) != zero
| divide(X2,X3) != zero ),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_15,plain,
divide(divide(X1,divide(X1,X2)),X2) = zero,
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
prove_this ).
cnf(c_0_17,plain,
divide(X1,divide(X1,divide(X1,X2))) = divide(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HEN009-5 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n023.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 19:10:38 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.28/1.74 % Version : CSE_E---1.7
% 1.28/1.74 % Problem : theBenchmark.p
% 1.28/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.74 % SZS output start CNFRefutation
% See solution above
% 1.28/1.74 % Total time : 1.374s
%------------------------------------------------------------------------------