%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP553-1 : 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 : n013.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 07:24:00 AM UTC 2026
% Result : Unsatisfiable 7.01s 8.64s
% Output : CNFRefutation 7.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 7 RR)
% Number of literals : 37 ( 36 equ; 6 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 : 79 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,inverse(X1)) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(c0,plain,
divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(clausification,[status(esa)],[prove_these_axioms_1]) ).
cnf(d0,plain,
divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
divide(multiply(X2,X1),X3) = multiply(X0,divide(X1,divide(X0,divide(X2,X3)))),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d2,plain,
divide(divide(multiply(X2,X1),X3),divide(X2,X3)) = X1,
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
divide(multiply(multiply(X0,X2),X1),multiply(X0,X1)) = X2,
inference(demodulation,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d6,plain,
X2 = divide(X1,divide(X0,multiply(X0,divide(X2,X1)))),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d8,plain,
multiply(multiply(X0,divide(X2,multiply(X0,X1))),X1) = X2,
inference(demodulation,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[status(thm)],[d8,d8]) ).
cnf(d10,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(superposition,[status(thm)],[d8,d9]) ).
cnf(d11,plain,
X1 = divide(X0,divide(X0,X1)),
inference(superposition,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
divide(X1,divide(X0,multiply(X0,divide(X2,X1)))) = X2,
inference(superposition,[status(thm)],[d4,d5]) ).
cnf(d13,plain,
divide(multiply(X1,X2),multiply(X1,divide(X2,X0))) = X0,
inference(superposition,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
divide(multiply(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[d10,d13]) ).
cnf(d15,plain,
X1 = divide(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d14,d10]) ).
cnf(d17,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[d14,c1]) ).
cnf(d18,plain,
multiply(X1,multiply(X0,inverse(X1))) = X0,
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
multiply(X1,inverse(X0)) = divide(X1,X0),
inference(superposition,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
multiply(a1,inverse(a1)) != multiply(inverse(b1),b1),
inference(demodulation,[status(thm)],[c2,d16]) ).
cnf(d21,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(demodulation,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
divide(a1,a1) != multiply(b1,inverse(b1)),
inference(demodulation,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
divide(a1,a1) != divide(b1,b1),
inference(demodulation,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
divide(X0,divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[d10,d12]) ).
cnf(d25,plain,
divide(X1,divide(multiply(X0,X1),multiply(X0,X2))) = X2,
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d26,plain,
divide(divide(X1,divide(X0,multiply(X0,X2))),X1) = X2,
inference(superposition,[status(thm)],[d0,d25]) ).
cnf(d27,plain,
divide(multiply(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[d24,d26]) ).
cnf(d28,plain,
divide(X1,divide(X0,X0)) = X1,
inference(superposition,[status(thm)],[d27,d2]) ).
cnf(d29,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[d28,d24]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[d29,d23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP553-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n013.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 14:59:06 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.01/8.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.01/8.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------