%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP560-1 : 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 : n002.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 07:24:01 AM UTC 2026
% Result : Unsatisfiable 9.97s 5.03s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 21 ( 20 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 : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X0,inverse(divide(divide(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(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
multiply(b,a) != multiply(a,b),
inference(clausification,[status(esa)],[prove_these_axioms_4]) ).
cnf(d0,plain,
divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
multiply(X0,divide(X1,divide(X0,inverse(divide(divide(X1,X2),divide(X3,X2)))))) = X3,
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
multiply(X0,divide(X1,multiply(X0,divide(divide(X1,X2),divide(X3,X2))))) = X3,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d4,plain,
multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
multiply(inverse(divide(X1,X1)),X0) = X0,
inference(superposition,[status(thm)],[d4,d6]) ).
cnf(d8,plain,
multiply(X2,divide(multiply(X0,X1),divide(X2,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c1,d3]) ).
cnf(d9,plain,
multiply(X0,divide(multiply(X2,X1),multiply(X0,X1))) = X2,
inference(demodulation,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
multiply(inverse(divide(X1,X0)),X1) = X0,
inference(superposition,[status(thm)],[d5,d6]) ).
cnf(d11,plain,
multiply(inverse(divide(X0,X1)),divide(multiply(X2,X0),X1)) = X2,
inference(superposition,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
X1 = divide(multiply(X1,X0),X0),
inference(superposition,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP560-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n002.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 15:02:34 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.97/5.03 % SZS status Unsatisfiable for theBenchmark.p
% 9.97/5.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------