%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP459-1 : 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 : n012.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 07:23:48 AM UTC 2026
% Result : Unsatisfiable 16.52s 2.49s
% Output : CNFRefutation 16.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 5 RR)
% Number of literals : 52 ( 51 equ; 2 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1 ).
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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(c0,plain,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(clausification,[status(esa)],[prove_these_axioms_3]) ).
cnf(d0,plain,
identity = inverse(identity),
inference(superposition,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
multiply(X1,X0) = divide(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d2,plain,
divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c0,c3]) ).
cnf(d3,plain,
divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
divide(inverse(divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
divide(inverse(divide(X0,divide(X1,identity))),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
multiply(inverse(divide(X0,divide(X1,identity))),X0) = X1,
inference(demodulation,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
multiply(inverse(identity),divide(X0,identity)) = X0,
inference(superposition,[status(thm)],[c3,d6]) ).
cnf(d8,plain,
multiply(identity,divide(X0,identity)) = X0,
inference(demodulation,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d10,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d11,plain,
multiply(X0,identity) = divide(X0,identity),
inference(superposition,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
multiply(inverse(inverse(divide(X0,identity))),identity) = X0,
inference(superposition,[status(thm)],[c2,d6]) ).
cnf(d13,plain,
divide(inverse(inverse(divide(X0,identity))),identity) = X0,
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(demodulation,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
divide(X0,identity) = X0,
inference(demodulation,[status(thm)],[d14,d8]) ).
cnf(d16,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[d8,d15]) ).
cnf(d17,plain,
multiply(X1,inverse(X0)) = divide(X1,multiply(identity,X0)),
inference(superposition,[status(thm)],[d9,d1]) ).
cnf(d18,plain,
multiply(X1,inverse(X0)) = divide(X1,X0),
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[status(thm)],[c3,d2]) ).
cnf(d20,plain,
divide(inverse(divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(demodulation,[status(thm)],[d19,c2]) ).
cnf(d21,plain,
divide(inverse(inverse(divide(X0,divide(identity,X1)))),X1) = X0,
inference(demodulation,[status(thm)],[d20,c2]) ).
cnf(d22,plain,
divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(demodulation,[status(thm)],[d21,d9]) ).
cnf(d23,plain,
divide(multiply(identity,divide(X1,inverse(X0))),X0) = X1,
inference(demodulation,[status(thm)],[d22,c2]) ).
cnf(d24,plain,
divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(demodulation,[status(thm)],[d23,d1]) ).
cnf(d25,plain,
divide(multiply(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[d24,d16]) ).
cnf(d26,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[d25,d1]) ).
cnf(d27,plain,
multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[d26,d18]) ).
cnf(d28,plain,
multiply(inverse(divide(X1,X0)),X1) = X0,
inference(demodulation,[status(thm)],[d6,d15]) ).
cnf(d29,plain,
divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[status(thm)],[d28,d25]) ).
cnf(d30,plain,
divide(divide(identity,divide(divide(X0,divide(X1,divide(divide(identity,X0),X2))),divide(X3,X1))),X2) = X3,
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d31,plain,
divide(inverse(divide(divide(X0,divide(X1,divide(divide(identity,X0),X2))),divide(X3,X1))),X2) = X3,
inference(demodulation,[status(thm)],[d30,c2]) ).
cnf(d32,plain,
divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2) = X3,
inference(demodulation,[status(thm)],[d31,c2]) ).
cnf(d33,plain,
divide(inverse(divide(divide(identity,divide(X0,divide(identity,X1))),divide(X2,X0))),X1) = X2,
inference(superposition,[status(thm)],[d10,d32]) ).
cnf(d34,plain,
divide(divide(divide(X2,X0),divide(identity,divide(X0,divide(identity,X1)))),X1) = X2,
inference(demodulation,[status(thm)],[d33,d29]) ).
cnf(d35,plain,
divide(divide(divide(X2,X0),inverse(divide(X0,divide(identity,X1)))),X1) = X2,
inference(demodulation,[status(thm)],[d34,c2]) ).
cnf(d36,plain,
divide(multiply(divide(X0,X1),divide(X1,divide(identity,X2))),X2) = X0,
inference(demodulation,[status(thm)],[d35,d1]) ).
cnf(d37,plain,
divide(multiply(divide(X1,X2),divide(X2,inverse(X0))),X0) = X1,
inference(demodulation,[status(thm)],[d36,c2]) ).
cnf(d38,plain,
divide(multiply(divide(X2,X0),multiply(X0,X1)),X1) = X2,
inference(demodulation,[status(thm)],[d37,d1]) ).
cnf(d39,plain,
multiply(X0,X2) = multiply(divide(X0,X1),multiply(X1,X2)),
inference(superposition,[status(thm)],[d38,d27]) ).
cnf(d40,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[d25,d39]) ).
cnf(d41,plain,
$false,
inference(resolution,[status(thm)],[d40,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP459-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 14:55:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.52/2.49 % SZS status Unsatisfiable for theBenchmark.p
% 16.52/2.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------