%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP530-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 07:23:57 AM UTC 2026
% Result : Unsatisfiable 19.46s 9.07s
% Output : CNFRefutation 19.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 4 RR)
% Number of literals : 27 ( 26 equ; 3 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; 2 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)) ).
cnf(inverse,axiom,
inverse(X0) = divide(divide(X1,X1),X0) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(c0,plain,
divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
inverse(X0) = divide(divide(X1,X1),X0),
inference(clausification,[status(esa)],[inverse]) ).
cnf(c3,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(clausification,[status(esa)],[prove_these_axioms_2]) ).
cnf(d0,plain,
inverse(divide(divide(X0,X1),X0)) = X1,
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
inverse(divide(inverse(X1),divide(X0,X0))) = X1,
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d3,plain,
inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[status(thm)],[c2,c2]) ).
cnf(d4,plain,
inverse(inverse(divide(X1,X1))) = divide(X0,X0),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
divide(X0,X0) = divide(X1,X1),
inference(demodulation,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
multiply(X2,X1) = divide(X2,inverse(X1)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d7,plain,
divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
multiply(divide(X0,X0),a2) != a2,
inference(superposition,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d10,plain,
divide(X2,divide(divide(X0,divide(X1,X2)),X0)) = X1,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d11,plain,
divide(X2,inverse(divide(X1,X2))) = X1,
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
multiply(X1,inverse(X0)) = divide(X1,X0),
inference(superposition,[status(thm)],[d1,d6]) ).
cnf(d14,plain,
divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[status(thm)],[c2,d5]) ).
cnf(d15,plain,
multiply(X0,inverse(divide(X1,X1))) = X0,
inference(superposition,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
divide(X0,divide(X1,X1)) = X0,
inference(demodulation,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
multiply(divide(X1,X1),X0) = X0,
inference(superposition,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP530-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/6.62 % Computer : n004.cluster.edu
% 0.10/6.62 % Model : x86_64 x86_64
% 0.10/6.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/6.62 % Memory : 8046.5625MB
% 0.10/6.62 % OS : Linux 6.8.0-71-generic
% 0.10/6.62 % CPULimit : 300
% 0.10/6.62 % WCLimit : 300
% 0.10/6.62 % DateTime : Fri Sep 25 14:58:28 UTC 2026
% 0.10/6.62 % CPUTime :
% 0.10/6.62 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.46/9.07 % SZS status Unsatisfiable for theBenchmark.p
% 19.46/9.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------