%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 07:23:57 AM UTC 2026
% Result : Unsatisfiable 22.76s 18.40s
% Output : CNFRefutation 22.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 3 RR)
% Number of literals : 40 ( 39 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X0,divide(divide(X0,X1),divide(X2,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_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(c0,plain,
divide(X0,divide(divide(X0,X1),divide(X2,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(a,b) != multiply(b,a),
inference(clausification,[status(esa)],[prove_these_axioms_4]) ).
cnf(d0,plain,
divide(X0,divide(X2,divide(X3,divide(divide(X0,X1),divide(X2,X1))))) = X3,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
divide(X0,divide(X2,X2)) = X0,
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
divide(X1,divide(X1,X0)) = X0,
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
multiply(X2,X1) = divide(X2,inverse(X1)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d4,plain,
divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d5,plain,
inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
divide(X3,divide(X0,divide(X1,X2))) = divide(divide(X3,divide(X0,X1)),X2),
inference(superposition,[status(thm)],[d4,d4]) ).
cnf(d7,plain,
divide(divide(X0,divide(X1,divide(X2,X3))),X2) = divide(divide(X0,X1),X3),
inference(superposition,[status(thm)],[d4,d4]) ).
cnf(d8,plain,
divide(X0,divide(X1,divide(divide(X2,X3),X2))) = divide(divide(X0,X1),X3),
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
divide(X2,divide(X3,inverse(X1))) = divide(divide(X2,X3),X1),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
divide(X2,multiply(X0,X1)) = divide(divide(X2,X0),X1),
inference(demodulation,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
divide(X0,inverse(divide(X1,X0))) = X1,
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d12,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
multiply(X2,divide(X0,X1)) = divide(X0,divide(X1,X2)),
inference(superposition,[status(thm)],[d4,d12]) ).
cnf(d14,plain,
divide(X2,divide(X2,X1)) = divide(X0,divide(X0,X1)),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d15,plain,
X1 = divide(X2,divide(X2,X1)),
inference(demodulation,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
divide(X3,divide(divide(X3,divide(divide(X0,X1),divide(X2,X1))),X2)) = X0,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d17,plain,
divide(X3,divide(divide(X3,divide(divide(X0,X1),divide(X4,X2))),X4)) = divide(X0,divide(X1,X2)),
inference(superposition,[status(thm)],[d4,d16]) ).
cnf(d18,plain,
divide(X0,divide(X0,divide(divide(X1,X2),divide(divide(X3,X4),X3)))) = divide(X1,divide(X2,X4)),
inference(demodulation,[status(thm)],[d17,d6]) ).
cnf(d19,plain,
divide(divide(X1,X2),divide(divide(X3,X4),X3)) = divide(X1,divide(X2,X4)),
inference(demodulation,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
divide(divide(X2,X3),inverse(X1)) = divide(X2,divide(X3,X1)),
inference(demodulation,[status(thm)],[d19,d5]) ).
cnf(d21,plain,
multiply(divide(X0,X1),X2) = divide(X0,divide(X1,X2)),
inference(demodulation,[status(thm)],[d20,d3]) ).
cnf(d22,plain,
divide(X0,divide(multiply(X0,X1),divide(X2,inverse(X1)))) = X2,
inference(superposition,[status(thm)],[d3,c0]) ).
cnf(d23,plain,
divide(X2,divide(multiply(X2,X1),multiply(X0,X1))) = X0,
inference(demodulation,[status(thm)],[d22,d3]) ).
cnf(d24,plain,
divide(X3,divide(divide(X3,X1),multiply(divide(X0,multiply(X1,X2)),X2))) = X0,
inference(superposition,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
divide(X0,divide(X0,multiply(X1,multiply(divide(X2,multiply(X1,X3)),X3)))) = X2,
inference(demodulation,[status(thm)],[d24,d10]) ).
cnf(d26,plain,
multiply(X1,multiply(divide(X2,multiply(X1,X3)),X3)) = X2,
inference(demodulation,[status(thm)],[d25,d15]) ).
cnf(d27,plain,
multiply(X1,divide(X0,divide(multiply(X1,X2),X2))) = X0,
inference(demodulation,[status(thm)],[d26,d21]) ).
cnf(d28,plain,
divide(X1,divide(divide(multiply(X0,X2),X2),X0)) = X1,
inference(demodulation,[status(thm)],[d27,d13]) ).
cnf(d29,plain,
divide(X2,divide(multiply(X0,X1),multiply(X1,X0))) = X2,
inference(demodulation,[status(thm)],[d28,d10]) ).
cnf(d30,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[d29,d2]) ).
cnf(d31,plain,
$false,
inference(resolution,[status(thm)],[d30,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/15.41 % Computer : n006.cluster.edu
% 0.14/15.41 % Model : x86_64 x86_64
% 0.14/15.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.41 % Memory : 8046.5625MB
% 0.14/15.41 % OS : Linux 6.8.0-71-generic
% 0.14/15.41 % CPULimit : 300
% 0.14/15.41 % WCLimit : 300
% 0.14/15.41 % DateTime : Fri Sep 25 14:58:27 UTC 2026
% 0.14/15.42 % CPUTime :
% 0.14/15.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.76/18.40 % SZS status Unsatisfiable for theBenchmark.p
% 22.76/18.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------