%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP468-1 : TPTP v9.3.1. Released v2.6.0.
% 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 07:23:50 AM UTC 2026
% Result : Unsatisfiable 2.03s 12.79s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 3 RR)
% Number of literals : 39 ( 38 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 119 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2 ).
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(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
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(X3,X3),divide(X2,multiply(divide(X0,divide(X1,X2)),X1))) = X0,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
divide(divide(X4,X4),divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1))) = divide(X0,X0),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d3,plain,
divide(X4,X4) = divide(X5,X5),
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
divide(divide(X3,X3),divide(X1,multiply(divide(X2,X2),X0))) = divide(X0,X1),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
divide(divide(X2,X2),divide(X3,multiply(divide(X1,multiply(divide(X0,X0),X1)),X4))) = divide(X4,X3),
inference(superposition,[status(thm)],[d4,d4]) ).
cnf(d6,plain,
divide(divide(X2,X2),inverse(X1)) = X1,
inference(superposition,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
multiply(divide(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
divide(divide(X2,X2),divide(X3,multiply(divide(X1,X1),X4))) = divide(X4,X3),
inference(demodulation,[status(thm)],[d5,d7]) ).
cnf(d9,plain,
divide(divide(X2,X2),divide(X3,X1)) = divide(X1,X3),
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
divide(X2,inverse(X1)) = multiply(X2,X1),
inference(superposition,[status(thm)],[d4,d1]) ).
cnf(d11,plain,
divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
divide(multiply(divide(X2,multiply(X3,X1)),X3),inverse(X1)) = X2,
inference(demodulation,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(demodulation,[status(thm)],[d12,c1]) ).
cnf(d14,plain,
divide(divide(X2,X2),divide(X0,multiply(divide(X3,divide(X1,X1)),X0))) = X3,
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d15,plain,
divide(divide(X1,multiply(divide(X0,X0),X1)),divide(X2,multiply(divide(X3,divide(X4,X4)),X2))) = X3,
inference(superposition,[status(thm)],[d4,d14]) ).
cnf(d16,plain,
divide(divide(X1,X1),divide(X2,multiply(divide(X3,divide(X4,X4)),X2))) = X3,
inference(demodulation,[status(thm)],[d15,d7]) ).
cnf(d17,plain,
divide(multiply(divide(X2,divide(X3,X3)),X1),X1) = X2,
inference(demodulation,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
X1 = divide(divide(X2,X2),inverse(X1)),
inference(superposition,[status(thm)],[d1,d5]) ).
cnf(d19,plain,
X1 = multiply(divide(X0,X0),X1),
inference(demodulation,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
divide(X4,X4) = divide(X3,multiply(divide(divide(X1,X1),divide(X2,X3)),X2)),
inference(superposition,[status(thm)],[d2,d4]) ).
cnf(d21,plain,
divide(X4,X4) = divide(multiply(divide(X2,X2),X3),multiply(divide(X3,X1),X1)),
inference(superposition,[status(thm)],[d4,d20]) ).
cnf(d22,plain,
divide(X2,X2) = divide(X1,multiply(divide(X1,X3),X3)),
inference(demodulation,[status(thm)],[d21,d7]) ).
cnf(d23,plain,
X3 = multiply(divide(X1,multiply(divide(X1,X2),X2)),X3),
inference(superposition,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
multiply(divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[d23,d13]) ).
cnf(d25,plain,
divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[d24,d17]) ).
cnf(d26,plain,
divide(divide(X4,X4),divide(divide(X1,multiply(divide(X2,divide(X3,X1)),X3)),multiply(divide(X5,X2),divide(X0,X0)))) = X5,
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d27,plain,
X2 = divide(divide(X4,X4),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))),
inference(superposition,[status(thm)],[d26,d4]) ).
cnf(d28,plain,
X2 = divide(divide(X3,X3),divide(X0,multiply(divide(X2,divide(X1,X1)),X0))),
inference(superposition,[status(thm)],[d3,d27]) ).
cnf(d29,plain,
X2 = divide(multiply(divide(X2,divide(X3,X3)),X1),X1),
inference(demodulation,[status(thm)],[d28,d9]) ).
cnf(d30,plain,
X0 = divide(multiply(X0,X2),X2),
inference(demodulation,[status(thm)],[d29,d25]) ).
cnf(d31,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[d30,d13]) ).
cnf(d32,plain,
$false,
inference(resolution,[status(thm)],[d31,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP468-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 14:58:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.03/12.79 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/12.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------