%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP564-1 : 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 : n001.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 07:24:02 AM UTC 2026
% Result : Unsatisfiable 8.05s 4.16s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 3 RR)
% Number of literals : 25 ( 24 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,inverse(X1)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(c0,plain,
divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = divide(X0,inverse(X1)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
multiply(a,b) != multiply(b,a),
inference(clausification,[status(esa)],[prove_these_axioms_4]) ).
cnf(d0,plain,
divide(X1,divide(divide(X0,inverse(X1)),divide(X0,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
divide(X1,divide(multiply(X0,X1),divide(X0,inverse(X2)))) = X2,
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
divide(X2,divide(multiply(X0,X2),multiply(X0,X1))) = X1,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d4,plain,
divide(divide(divide(divide(divide(X0,inverse(X1)),X2),inverse(X3)),divide(X0,X2)),X1) = X3,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d5,plain,
divide(divide(multiply(divide(divide(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(demodulation,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
divide(divide(multiply(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X4),X1),X3) = X4,
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[status(thm)],[d6,c1]) ).
cnf(d9,plain,
divide(divide(X3,inverse(X1)),X3) = X1,
inference(superposition,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
divide(multiply(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
divide(X1,divide(X0,X0)) = X1,
inference(superposition,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
X1 = divide(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[d3,d11]) ).
cnf(d13,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[d10,c1]) ).
cnf(d14,plain,
X0 = divide(X1,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
divide(X1,X0) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
multiply(divide(X1,X0),X0) = X1,
inference(demodulation,[status(thm)],[d13,d15]) ).
cnf(d17,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d10,d16]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP564-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % Computer : n001.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8046.5625MB
% 0.15/0.38 % OS : Linux 6.8.0-71-generic
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Fri Sep 25 15:05:40 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.05/4.16 % SZS status Unsatisfiable for theBenchmark.p
% 8.05/4.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------