%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP550-1 : 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 : n007.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 8.64s 7.96s
% Output : CNFRefutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 4 RR)
% Number of literals : 28 ( 27 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,divide(identity,X1)) ).
cnf(inverse,axiom,
inverse(X0) = divide(identity,X0) ).
cnf(identity,axiom,
identity = divide(X0,X0) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(c0,plain,
divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
inverse(X0) = divide(identity,X0),
inference(clausification,[status(esa)],[inverse]) ).
cnf(c3,plain,
identity = divide(X0,X0),
inference(clausification,[status(esa)],[identity]) ).
cnf(c4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(clausification,[status(esa)],[prove_these_axioms_2]) ).
cnf(d0,plain,
multiply(X1,X0) = divide(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
identity = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
multiply(identity,a2) != a2,
inference(demodulation,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d4,plain,
divide(inverse(X0),divide(divide(identity,X1),X0)) = X1,
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
divide(inverse(X1),divide(inverse(X0),X1)) = X0,
inference(demodulation,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
divide(divide(identity,X0),divide(X2,identity)) = divide(divide(divide(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d7,plain,
divide(inverse(X0),divide(X1,identity)) = divide(divide(divide(X2,X0),X1),X2),
inference(demodulation,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d9,plain,
divide(inverse(X1),divide(inverse(X1),divide(X2,identity))) = X2,
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
X0 = divide(X0,identity),
inference(superposition,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
divide(inverse(X1),divide(divide(X0,X1),identity)) = divide(identity,X0),
inference(superposition,[status(thm)],[c3,d7]) ).
cnf(d12,plain,
divide(inverse(X1),divide(X0,X1)) = divide(identity,X0),
inference(demodulation,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
divide(inverse(X1),divide(X0,X1)) = inverse(X0),
inference(demodulation,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
inverse(inverse(X1)) = X1,
inference(demodulation,[status(thm)],[d5,d13]) ).
cnf(d15,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d16,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP550-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.40 % Computer : n007.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Fri Sep 25 14:57:44 UTC 2026
% 0.11/5.41 % CPUTime :
% 0.11/5.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.64/7.96 % SZS status Unsatisfiable for theBenchmark.p
% 8.64/7.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------