%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP065-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 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 07:22:14 AM UTC 2026
% Result : Unsatisfiable 73.65s 9.88s
% Output : CNFRefutation 73.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of clauses : 75 ( 70 unt; 0 nHn; 7 RR)
% Number of literals : 84 ( 83 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 188 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1 ).
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,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ).
cnf(c0,plain,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
divide(divide(X0,X0),X1) = inverse(X1),
inference(clausification,[status(esa)],[inverse]) ).
cnf(c3,plain,
( multiply(a3,multiply(b3,c3)) != multiply(multiply(a3,b3),c3)
| multiply(inverse(b1),b1) != multiply(inverse(a1),a1)
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(clausification,[status(esa)],[prove_these_axioms]) ).
cnf(d0,plain,
divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c2,c2]) ).
cnf(d1,plain,
divide(X2,inverse(X1)) = multiply(X2,X1),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d2,plain,
divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d3,plain,
divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2) = X3,
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d5,plain,
divide(inverse(divide(divide(X1,inverse(divide(inverse(X1),X2))),divide(X3,inverse(divide(X0,X0))))),X2) = X3,
inference(superposition,[status(thm)],[d0,d4]) ).
cnf(d6,plain,
divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),divide(X2,inverse(divide(X3,X3))))),X1) = X2,
inference(demodulation,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
divide(inverse(divide(multiply(X2,divide(inverse(X2),X3)),multiply(X0,divide(X1,X1)))),X3) = X0,
inference(demodulation,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
X0 = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d10,plain,
inverse(inverse(X1)) = multiply(multiply(inverse(X0),X0),X1),
inference(superposition,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( multiply(a3,multiply(b3,c3)) != multiply(multiply(a3,b3),c3)
| multiply(inverse(b1),b1) != multiply(inverse(a1),a1)
| inverse(inverse(a2)) != a2 ),
inference(demodulation,[status(thm)],[c3,d10]) ).
cnf(d12,plain,
( a2 != a2
| multiply(a3,multiply(b3,c3)) != multiply(multiply(a3,b3),c3)
| multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ),
inference(demodulation,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
divide(inverse(divide(X1,inverse(divide(inverse(X1),X2)))),X2) = divide(X0,X0),
inference(superposition,[status(thm)],[c2,d3]) ).
cnf(d14,plain,
divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1) = divide(X2,X2),
inference(demodulation,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
divide(X2,X2) = divide(X3,X3),
inference(superposition,[status(thm)],[d14,d14]) ).
cnf(d16,plain,
divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[d16,d16]) ).
cnf(d18,plain,
( a2 != a2
| multiply(a3,multiply(b3,c3)) != multiply(multiply(a3,b3),c3) ),
inference(resolution,[status(thm)],[d17,d12]) ).
cnf(d19,plain,
multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d20,plain,
multiply(divide(X1,X1),X0) = X0,
inference(demodulation,[status(thm)],[d19,d8]) ).
cnf(d21,plain,
divide(inverse(divide(X2,X1)),X3) = inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d22,plain,
divide(X4,divide(inverse(divide(X2,X1)),X3)) = multiply(X4,divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))),
inference(superposition,[status(thm)],[d21,d1]) ).
cnf(d23,plain,
inverse(inverse(X4)) = multiply(multiply(divide(inverse(divide(X2,X1)),X3),divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))),X4),
inference(superposition,[status(thm)],[d21,d10]) ).
cnf(d24,plain,
X0 = multiply(multiply(divide(inverse(divide(X1,X2)),X3),divide(X4,divide(X2,divide(inverse(X4),divide(inverse(X1),X3))))),X0),
inference(demodulation,[status(thm)],[d23,d8]) ).
cnf(d25,plain,
X4 = multiply(divide(divide(inverse(divide(X0,X1)),X2),divide(inverse(divide(X0,X1)),X2)),X4),
inference(demodulation,[status(thm)],[d24,d22]) ).
cnf(d26,plain,
X3 = X3,
inference(demodulation,[status(thm)],[d25,d20]) ).
cnf(d27,plain,
multiply(a3,multiply(b3,c3)) != multiply(multiply(a3,b3),c3),
inference(resolution,[status(thm)],[d26,d18]) ).
cnf(d28,plain,
divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[d8,d1]) ).
cnf(d29,plain,
divide(inverse(inverse(divide(X1,divide(inverse(divide(X0,X0)),X2)))),X2) = X1,
inference(superposition,[status(thm)],[c2,d3]) ).
cnf(d30,plain,
divide(inverse(inverse(divide(X2,inverse(X1)))),X1) = X2,
inference(demodulation,[status(thm)],[d29,d0]) ).
cnf(d31,plain,
divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(demodulation,[status(thm)],[d30,d1]) ).
cnf(d32,plain,
X0 = multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1),
inference(superposition,[status(thm)],[d31,d1]) ).
cnf(d33,plain,
X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(demodulation,[status(thm)],[d32,d8]) ).
cnf(d34,plain,
X0 = multiply(divide(X0,X1),X1),
inference(demodulation,[status(thm)],[d33,d28]) ).
cnf(d35,plain,
divide(multiply(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[d31,d8]) ).
cnf(d36,plain,
inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d37,plain,
divide(inverse(inverse(divide(X0,X0))),X1) = inverse(X1),
inference(superposition,[status(thm)],[d0,c2]) ).
cnf(d38,plain,
inverse(inverse(X1)) = multiply(inverse(inverse(inverse(divide(X0,X0)))),X1),
inference(superposition,[status(thm)],[d37,d36]) ).
cnf(d39,plain,
X0 = multiply(inverse(inverse(inverse(divide(X1,X1)))),X0),
inference(demodulation,[status(thm)],[d38,d8]) ).
cnf(d40,plain,
X1 = multiply(inverse(divide(X0,X0)),X1),
inference(demodulation,[status(thm)],[d39,d8]) ).
cnf(d41,plain,
divide(inverse(multiply(inverse(X0),X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d42,plain,
divide(inverse(divide(X2,X1)),X3) = inverse(inverse(divide(X1,divide(inverse(multiply(inverse(X0),X0)),divide(inverse(X2),X3))))),
inference(superposition,[status(thm)],[d9,d21]) ).
cnf(d43,plain,
divide(inverse(divide(X2,X0)),X3) = divide(X0,divide(inverse(multiply(inverse(X1),X1)),divide(inverse(X2),X3))),
inference(demodulation,[status(thm)],[d42,d8]) ).
cnf(d44,plain,
divide(inverse(divide(X1,X3)),X2) = divide(X3,inverse(divide(inverse(X1),X2))),
inference(demodulation,[status(thm)],[d43,d41]) ).
cnf(d45,plain,
divide(inverse(divide(X1,X0)),X2) = multiply(X0,divide(inverse(X1),X2)),
inference(demodulation,[status(thm)],[d44,d1]) ).
cnf(d46,plain,
divide(inverse(divide(X0,divide(X3,divide(inverse(multiply(X1,divide(inverse(X1),X2))),X2)))),inverse(X0)) = X3,
inference(superposition,[status(thm)],[d14,d3]) ).
cnf(d47,plain,
multiply(inverse(divide(X0,divide(X1,divide(inverse(multiply(X2,divide(inverse(X2),X3))),X3)))),X0) = X1,
inference(demodulation,[status(thm)],[d46,d1]) ).
cnf(d48,plain,
multiply(inverse(divide(X2,divide(X3,divide(inverse(divide(inverse(divide(X0,X0)),X1)),X1)))),X2) = X3,
inference(demodulation,[status(thm)],[d47,d45]) ).
cnf(d49,plain,
multiply(inverse(divide(X2,divide(X3,divide(inverse(inverse(X1)),X1)))),X2) = X3,
inference(demodulation,[status(thm)],[d48,d0]) ).
cnf(d50,plain,
multiply(inverse(divide(X1,divide(X2,divide(X0,X0)))),X1) = X2,
inference(demodulation,[status(thm)],[d49,d8]) ).
cnf(d51,plain,
divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[d50,d40]) ).
cnf(d52,plain,
multiply(inverse(divide(X2,X0)),X2) = X0,
inference(demodulation,[status(thm)],[d50,d51]) ).
cnf(d53,plain,
divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[status(thm)],[d52,d35]) ).
cnf(d54,plain,
divide(inverse(inverse(inverse(divide(X0,X0)))),X1) = inverse(X1),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d55,plain,
divide(inverse(divide(divide(inverse(inverse(divide(X0,X0))),divide(X2,inverse(X1))),divide(X3,X2))),X1) = X3,
inference(superposition,[status(thm)],[d54,d4]) ).
cnf(d56,plain,
divide(divide(divide(X3,X1),divide(inverse(inverse(divide(X0,X0))),divide(X1,inverse(X2)))),X2) = X3,
inference(demodulation,[status(thm)],[d55,d53]) ).
cnf(d57,plain,
divide(divide(divide(X1,X2),divide(divide(X0,X0),divide(X2,inverse(X3)))),X3) = X1,
inference(demodulation,[status(thm)],[d56,d8]) ).
cnf(d58,plain,
divide(divide(divide(X3,X1),inverse(divide(X1,inverse(X2)))),X2) = X3,
inference(demodulation,[status(thm)],[d57,c2]) ).
cnf(d59,plain,
divide(multiply(divide(X0,X1),divide(X1,inverse(X2))),X2) = X0,
inference(demodulation,[status(thm)],[d58,d1]) ).
cnf(d60,plain,
divide(multiply(divide(X2,X0),multiply(X0,X1)),X1) = X2,
inference(demodulation,[status(thm)],[d59,d1]) ).
cnf(d61,plain,
multiply(divide(X0,X1),multiply(X1,X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[d60,d34]) ).
cnf(d62,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[d0,d7]) ).
cnf(d63,plain,
X1 = multiply(multiply(X1,X0),inverse(X0)),
inference(superposition,[status(thm)],[d62,d33]) ).
cnf(d64,plain,
X0 = divide(multiply(X0,X1),X1),
inference(demodulation,[status(thm)],[d63,d28]) ).
cnf(d65,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d64,d61]) ).
cnf(d66,plain,
$false,
inference(resolution,[status(thm)],[d65,d27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP065-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 14:23:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.65/9.88 % SZS status Unsatisfiable for theBenchmark.p
% 73.65/9.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------