%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:31:46 AM UTC 2026
% Result : Unsatisfiable 15.03s 2.35s
% Output : CNFRefutation 15.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 10 RR)
% Number of literals : 20 ( 19 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(x_divide_zero_is_x,axiom,
divide(X0,zero) = X0 ).
cnf(a_divide_b_divide_d_is_zero,hypothesis,
divide(divide(a,b),d) = zero ).
cnf(prove_property_of_divide1,negated_conjecture,
divide(divide(a,d),b) != zero ).
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X0,X1),X0) = zero ).
cnf(quotient_property,axiom,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero ).
cnf(zero_is_smallest,axiom,
divide(zero,X0) = zero ).
cnf(c0,plain,
divide(X0,zero) = X0,
inference(clausification,[status(esa)],[x_divide_zero_is_x]) ).
cnf(c1,plain,
divide(divide(a,b),d) = zero,
inference(clausification,[status(esa)],[a_divide_b_divide_d_is_zero]) ).
cnf(c2,plain,
divide(divide(a,d),b) != zero,
inference(clausification,[status(esa)],[prove_property_of_divide1]) ).
cnf(c3,plain,
divide(divide(X0,X1),X0) = zero,
inference(clausification,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(c4,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(clausification,[status(esa)],[quotient_property]) ).
cnf(c5,plain,
divide(zero,X0) = zero,
inference(clausification,[status(esa)],[zero_is_smallest]) ).
cnf(d0,plain,
divide(divide(divide(X2,X0),zero),divide(divide(X2,divide(X0,X1)),X0)) = zero,
inference(superposition,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
divide(divide(divide(a,d),divide(b,d)),zero) = zero,
inference(superposition,[status(thm)],[c1,c4]) ).
cnf(d3,plain,
divide(divide(a,d),divide(b,d)) = zero,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
divide(divide(divide(a,d),b),divide(zero,b)) = zero,
inference(superposition,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
divide(divide(divide(a,d),b),zero) = zero,
inference(demodulation,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
divide(divide(a,d),b) = zero,
inference(demodulation,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c2,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 15:56:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.03/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 15.03/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------