%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP563-1 : 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 07:24:02 AM UTC 2026
% Result : Unsatisfiable 59.14s 13.44s
% Output : CNFRefutation 59.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 7 RR)
% Number of literals : 57 ( 56 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 159 ( 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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(clausification,[status(esa)],[prove_these_axioms_3]) ).
cnf(d0,plain,
divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
divide(multiply(multiply(X0,X2),X1),multiply(X0,X1)) = X2,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
divide(X1,divide(multiply(X0,X1),multiply(X0,X2))) = X2,
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d5,plain,
divide(divide(multiply(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X4),X1),X3) = X4,
inference(superposition,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[status(thm)],[d4,c1]) ).
cnf(d7,plain,
divide(divide(X3,inverse(X1)),X3) = X1,
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
divide(multiply(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
divide(X1,divide(X0,X0)) = X1,
inference(superposition,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
X1 = divide(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[d0,d9]) ).
cnf(d11,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[d8,c1]) ).
cnf(d12,plain,
X0 = divide(X1,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
divide(X1,X0) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
multiply(divide(X1,X0),X0) = X1,
inference(demodulation,[status(thm)],[d11,d13]) ).
cnf(d15,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d10,d14]) ).
cnf(d16,plain,
multiply(X1,multiply(X0,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d2,d14]) ).
cnf(d17,plain,
X0 = divide(X1,divide(X1,X0)),
inference(demodulation,[status(thm)],[d12,d13]) ).
cnf(d18,plain,
divide(multiply(X1,X0),multiply(X1,X2)) = divide(X0,X2),
inference(superposition,[status(thm)],[d3,d17]) ).
cnf(d19,plain,
multiply(X1,divide(X0,X2)) = divide(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d0,d14]) ).
cnf(d20,plain,
divide(divide(multiply(X0,X3),divide(multiply(X1,X0),multiply(X1,X2))),X2) = X3,
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d21,plain,
multiply(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,inverse(X3)))),X3) = X1,
inference(superposition,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
multiply(divide(multiply(X4,X5),divide(multiply(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,inverse(inverse(X3))))),X4),X1)),X3) = X5,
inference(superposition,[status(thm)],[d21,d21]) ).
cnf(d23,plain,
multiply(X5,divide(multiply(X0,X1),divide(multiply(divide(multiply(X2,X3),divide(multiply(X4,X2),multiply(X4,inverse(inverse(X5))))),X0),X3))) = X1,
inference(demodulation,[status(thm)],[d22,d15]) ).
cnf(d24,plain,
divide(multiply(multiply(X1,X2),X0),divide(multiply(divide(multiply(X3,X4),divide(multiply(X5,X3),multiply(X5,inverse(inverse(X0))))),X1),X4)) = X2,
inference(demodulation,[status(thm)],[d23,d19]) ).
cnf(d25,plain,
divide(multiply(X1,multiply(X0,X2)),divide(multiply(divide(multiply(X3,X4),divide(multiply(X5,X3),multiply(X5,inverse(inverse(X2))))),X0),X4)) = X1,
inference(demodulation,[status(thm)],[d24,d16]) ).
cnf(d26,plain,
divide(multiply(X3,multiply(X4,X2)),divide(multiply(divide(multiply(X1,X5),divide(X1,inverse(inverse(X2)))),X4),X5)) = X3,
inference(demodulation,[status(thm)],[d25,d18]) ).
cnf(d27,plain,
divide(multiply(X2,multiply(X3,X1)),divide(multiply(divide(multiply(X0,X4),multiply(X0,inverse(X1))),X3),X4)) = X2,
inference(demodulation,[status(thm)],[d26,c1]) ).
cnf(d28,plain,
divide(multiply(X3,multiply(X4,X2)),divide(multiply(divide(X1,inverse(X2)),X4),X1)) = X3,
inference(demodulation,[status(thm)],[d27,d18]) ).
cnf(d29,plain,
divide(multiply(X2,multiply(X3,X1)),divide(multiply(multiply(X0,X1),X3),X0)) = X2,
inference(demodulation,[status(thm)],[d28,c1]) ).
cnf(d30,plain,
divide(multiply(X3,multiply(X2,X1)),divide(multiply(X1,multiply(X0,X2)),X0)) = X3,
inference(demodulation,[status(thm)],[d29,d16]) ).
cnf(d31,plain,
divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[d15,d13]) ).
cnf(d32,plain,
multiply(divide(multiply(X1,X3),divide(multiply(X0,X1),multiply(X0,inverse(X2)))),X2) = X3,
inference(superposition,[status(thm)],[d2,d6]) ).
cnf(d33,plain,
multiply(X3,divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,inverse(X3))))) = X1,
inference(demodulation,[status(thm)],[d32,d15]) ).
cnf(d34,plain,
multiply(X1,divide(multiply(X2,X3),divide(multiply(X0,X2),divide(X0,X1)))) = X3,
inference(demodulation,[status(thm)],[d33,d31]) ).
cnf(d35,plain,
X0 = divide(multiply(X0,X1),X1),
inference(superposition,[status(thm)],[d10,d17]) ).
cnf(d36,plain,
multiply(X2,X0) = divide(multiply(X1,X0),divide(X1,X2)),
inference(superposition,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
multiply(X1,multiply(X2,X0)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[d36,d30]) ).
cnf(d38,plain,
multiply(X2,multiply(X0,X1)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[d16,d15]) ).
cnf(d39,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c2,d15]) ).
cnf(d40,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d39,d38]) ).
cnf(d41,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d40,d37]) ).
cnf(d42,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[d41,d15]) ).
cnf(d43,plain,
divide(multiply(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[d17,d20]) ).
cnf(d44,plain,
X1 = multiply(multiply(inverse(X0),X1),X0),
inference(superposition,[status(thm)],[c1,d10]) ).
cnf(d45,plain,
X1 = multiply(divide(X1,X0),X0),
inference(demodulation,[status(thm)],[d44,d13]) ).
cnf(d46,plain,
X0 = multiply(X2,divide(multiply(X1,X0),multiply(X1,X2))),
inference(superposition,[status(thm)],[d3,d45]) ).
cnf(d47,plain,
X2 = divide(multiply(multiply(X1,X2),X0),multiply(X1,X0)),
inference(demodulation,[status(thm)],[d46,d19]) ).
cnf(d48,plain,
X1 = divide(multiply(X1,multiply(X0,X2)),multiply(X0,X2)),
inference(demodulation,[status(thm)],[d47,d16]) ).
cnf(d49,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d48,d43]) ).
cnf(d50,plain,
$false,
inference(resolution,[status(thm)],[d49,d42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP563-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 14:59:51 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 59.14/13.44 % SZS status Unsatisfiable for theBenchmark.p
% 59.14/13.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------