%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP514-1 : 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 : n020.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 07:23:55 AM UTC 2026
% Result : Unsatisfiable 15.93s 5.05s
% Output : CNFRefutation 15.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 6 RR)
% Number of literals : 23 ( 22 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1 ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(c0,plain,
multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(clausification,[status(esa)],[prove_these_axioms_2]) ).
cnf(d0,plain,
multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d6,plain,
multiply(X0,multiply(multiply(X2,X1),inverse(X2))) = multiply(X0,X1),
inference(superposition,[status(thm)],[d2,d5]) ).
cnf(d7,plain,
multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
multiply(X0,multiply(multiply(X4,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))),inverse(X3))) = X4,
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d9,plain,
multiply(X2,multiply(multiply(X0,inverse(X4)),multiply(X1,inverse(multiply(X2,multiply(multiply(X1,X3),inverse(multiply(X4,X3)))))))) = X0,
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[d0,d9]) ).
cnf(d11,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
multiply(a2,multiply(inverse(b2),b2)) != a2,
inference(demodulation,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(demodulation,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
a2 != a2,
inference(demodulation,[status(thm)],[d14,d1]) ).
cnf(d16,plain,
X1 = multiply(X1,multiply(multiply(X0,X2),inverse(multiply(X0,X2)))),
inference(superposition,[status(thm)],[d5,d2]) ).
cnf(d17,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP514-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Fri Sep 25 14:59:04 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.93/5.05 % SZS status Unsatisfiable for theBenchmark.p
% 15.93/5.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------