%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP525-1 : 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 : 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 07:23:57 AM UTC 2026
% Result : Unsatisfiable 9.64s 4.45s
% Output : CNFRefutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 5 RR)
% Number of literals : 40 ( 39 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 104 ( 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_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(clausification,[status(esa)],[prove_these_axioms_1]) ).
cnf(d0,plain,
multiply(X2,X1) = divide(X2,inverse(X1)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
divide(X0,inverse(divide(X1,X0))) = X1,
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d2,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
multiply(X1,inverse(X1)) = divide(X0,X0),
inference(superposition,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
divide(X0,multiply(X2,inverse(X2))) = X0,
inference(superposition,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
divide(X0,divide(X2,divide(X3,divide(divide(X0,X1),divide(X2,X1))))) = X3,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d6,plain,
divide(X0,divide(X2,multiply(X3,inverse(X3)))) = divide(divide(X0,X1),divide(X2,X1)),
inference(superposition,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
divide(X2,X0) = divide(divide(X2,X3),divide(X0,X3)),
inference(demodulation,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
divide(X3,divide(divide(X3,divide(divide(X0,X1),divide(X2,X1))),X2)) = X0,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d9,plain,
divide(X3,X1) = divide(X0,divide(divide(X1,X2),divide(divide(divide(X3,X4),divide(X0,X4)),X2))),
inference(superposition,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
divide(X2,X0) = divide(X4,divide(X0,divide(divide(X2,X3),divide(X4,X3)))),
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
divide(X0,X3) = divide(X2,divide(X3,divide(X0,X2))),
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
divide(X0,divide(X2,X2)) = X0,
inference(superposition,[status(thm)],[c0,d5]) ).
cnf(d13,plain,
divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d14,plain,
multiply(X2,divide(X0,X1)) = divide(X0,divide(X1,X2)),
inference(superposition,[status(thm)],[d13,d2]) ).
cnf(d15,plain,
inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[status(thm)],[d13,c2]) ).
cnf(d16,plain,
divide(X3,divide(X0,divide(X1,X2))) = divide(divide(X3,divide(X0,X1)),X2),
inference(superposition,[status(thm)],[d13,d13]) ).
cnf(d17,plain,
divide(divide(X0,divide(X1,divide(X2,X3))),X2) = divide(divide(X0,X1),X3),
inference(superposition,[status(thm)],[d13,d13]) ).
cnf(d18,plain,
divide(X0,divide(X1,divide(divide(X2,X3),X2))) = divide(divide(X0,X1),X3),
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
divide(X2,divide(X3,inverse(X1))) = divide(divide(X2,X3),X1),
inference(demodulation,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
divide(X2,multiply(X0,X1)) = divide(divide(X2,X0),X1),
inference(demodulation,[status(thm)],[d19,d0]) ).
cnf(d21,plain,
divide(inverse(divide(X1,X0)),inverse(X1)) = X0,
inference(superposition,[status(thm)],[d1,d1]) ).
cnf(d22,plain,
multiply(inverse(divide(X0,X1)),X0) = X1,
inference(demodulation,[status(thm)],[d21,d0]) ).
cnf(d23,plain,
multiply(inverse(X2),X0) = divide(X1,divide(X2,divide(divide(X0,X3),divide(X1,X3)))),
inference(superposition,[status(thm)],[d5,d22]) ).
cnf(d24,plain,
multiply(inverse(X3),X0) = divide(X2,divide(X3,divide(X0,multiply(X1,divide(X2,X1))))),
inference(demodulation,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
multiply(inverse(X2),X3) = divide(X1,divide(X2,divide(X3,divide(X1,divide(X0,X0))))),
inference(demodulation,[status(thm)],[d24,d14]) ).
cnf(d26,plain,
multiply(inverse(X2),X3) = divide(X0,divide(X2,divide(X3,X0))),
inference(demodulation,[status(thm)],[d25,d12]) ).
cnf(d27,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(demodulation,[status(thm)],[d26,d11]) ).
cnf(d28,plain,
divide(a1,a1) != multiply(inverse(b1),b1),
inference(demodulation,[status(thm)],[c3,d27]) ).
cnf(d29,plain,
divide(a1,a1) != divide(b1,b1),
inference(demodulation,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
divide(X1,X1) = divide(X2,X2),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d31,plain,
$false,
inference(resolution,[status(thm)],[d30,d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP525-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Fri Sep 25 15:04:26 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.64/4.45 % SZS status Unsatisfiable for theBenchmark.p
% 9.64/4.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------