%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP118-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:22:22 AM UTC 2026
% Result : Unsatisfiable 24.92s 3.45s
% Output : CNFRefutation 24.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 9 RR)
% Number of literals : 43 ( 42 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1 ).
cnf(prove_order3,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)) ).
cnf(c0,plain,
multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
inference(clausification,[status(esa)],[prove_order3]) ).
cnf(d0,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[status(thm)],[d1,d2]) ).
cnf(d4,plain,
multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(demodulation,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(demodulation,[status(thm)],[d0,d1]) ).
cnf(d6,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(identity,multiply(X0,X0))))),X0)) = X2,
inference(demodulation,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
multiply(identity,multiply(multiply(identity,identity),identity)) = identity,
inference(superposition,[status(thm)],[d4,d6]) ).
cnf(d8,plain,
multiply(identity,multiply(identity,identity)) = multiply(identity,identity),
inference(superposition,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X0,multiply(X1,identity)))) = identity,
inference(superposition,[status(thm)],[d1,d4]) ).
cnf(d10,plain,
multiply(multiply(identity,X0),multiply(identity,multiply(X0,multiply(X0,identity)))) = identity,
inference(superposition,[status(thm)],[d1,d9]) ).
cnf(d11,plain,
multiply(identity,multiply(X0,multiply(X0,multiply(X0,identity)))) = identity,
inference(demodulation,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
multiply(identity,multiply(identity,multiply(identity,identity))) = identity,
inference(superposition,[status(thm)],[d8,d11]) ).
cnf(d13,plain,
multiply(identity,multiply(identity,identity)) = identity,
inference(demodulation,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
identity = multiply(identity,identity),
inference(demodulation,[status(thm)],[d8,d13]) ).
cnf(d15,plain,
multiply(X0,multiply(X0,multiply(X0,identity))) = identity,
inference(superposition,[status(thm)],[d14,d4]) ).
cnf(d16,plain,
multiply(X0,identity) = X0,
inference(superposition,[status(thm)],[d15,d4]) ).
cnf(d17,plain,
multiply(X0,multiply(X1,identity)) = multiply(multiply(X0,X1),identity),
inference(superposition,[status(thm)],[d14,d1]) ).
cnf(d18,plain,
multiply(X1,X0) = multiply(multiply(X1,X0),identity),
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
multiply(X1,multiply(X1,multiply(X1,X0))) = X0,
inference(demodulation,[status(thm)],[d4,d16]) ).
cnf(d21,plain,
X1 = multiply(X0,multiply(X0,multiply(X0,X1))),
inference(superposition,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(X1,X1)))) = identity,
inference(superposition,[status(thm)],[d16,d2]) ).
cnf(d23,plain,
multiply(multiply(X0,X1),multiply(X1,X1)) = multiply(X0,identity),
inference(superposition,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
multiply(multiply(X0,X1),multiply(X1,X1)) = X0,
inference(demodulation,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
multiply(multiply(X1,multiply(X0,X0)),X0) = X1,
inference(superposition,[status(thm)],[d24,d24]) ).
cnf(d26,plain,
multiply(X0,multiply(X0,X0)) = identity,
inference(demodulation,[status(thm)],[d15,d16]) ).
cnf(d27,plain,
identity = multiply(X0,multiply(X0,X0)),
inference(superposition,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
multiply(identity,X0) = X0,
inference(superposition,[status(thm)],[d27,d25]) ).
cnf(d29,plain,
multiply(X2,multiply(X3,multiply(identity,multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1))))) = multiply(multiply(X2,X3),X0),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d30,plain,
multiply(X2,multiply(X3,multiply(multiply(multiply(identity,X0),X1),multiply(X1,X1)))) = multiply(multiply(X2,X3),X0),
inference(demodulation,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
multiply(X2,multiply(X3,multiply(identity,X0))) = multiply(multiply(X2,X3),X0),
inference(demodulation,[status(thm)],[d30,d24]) ).
cnf(d32,plain,
multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(demodulation,[status(thm)],[d31,d28]) ).
cnf(d33,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(demodulation,[status(thm)],[c1,d32]) ).
cnf(d34,plain,
multiply(identity,multiply(multiply(X0,X0),multiply(X0,X0))) = X0,
inference(superposition,[status(thm)],[d27,d24]) ).
cnf(d35,plain,
multiply(multiply(X0,X0),multiply(X0,X0)) = X0,
inference(demodulation,[status(thm)],[d34,d28]) ).
cnf(d36,plain,
multiply(X0,multiply(X0,multiply(X0,X0))) = X0,
inference(demodulation,[status(thm)],[d35,d32]) ).
cnf(d37,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d36,d21]) ).
cnf(d38,plain,
$false,
inference(resolution,[status(thm)],[d37,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP118-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 14:24:38 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.92/3.45 % SZS status Unsatisfiable for theBenchmark.p
% 24.92/3.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------