%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP558-1 : 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 : 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 07:24:01 AM UTC 2026
% Result : Unsatisfiable 20.01s 3.00s
% Output : CNFRefutation 20.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 21 ( 20 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 : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,inverse(X1)) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(c0,plain,
divide(X0,inverse(divide(divide(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(inverse(b2),b2),a2) != a2,
inference(clausification,[status(esa)],[prove_these_axioms_2]) ).
cnf(d0,plain,
multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
multiply(X2,divide(multiply(X0,X1),divide(X2,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
multiply(X0,divide(multiply(X2,X1),multiply(X0,X1))) = X2,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
multiply(X0,divide(multiply(X3,divide(multiply(X1,X2),multiply(X0,X2))),X1)) = X3,
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[d2,d3]) ).
cnf(d5,plain,
multiply(X1,divide(X0,X1)) = X0,
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
multiply(inverse(divide(X1,X0)),X1) = X0,
inference(superposition,[status(thm)],[d5,d6]) ).
cnf(d8,plain,
multiply(inverse(divide(X1,X1)),X0) = X0,
inference(superposition,[status(thm)],[d4,d6]) ).
cnf(d9,plain,
divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
multiply(divide(X1,X1),X0) = X0,
inference(superposition,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
multiply(inverse(X1),X1) = divide(X0,X0),
inference(superposition,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
multiply(divide(X0,X0),a2) != a2,
inference(superposition,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
a2 != a2,
inference(demodulation,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
$false,
inference(equality_resolution,[status(thm)],[d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP558-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.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 15:05:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.01/3.00 % SZS status Unsatisfiable for theBenchmark.p
% 20.01/3.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------