%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP096-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 07:22:18 AM UTC 2026
% Result : Unsatisfiable 32.46s 4.39s
% Output : CNFRefutation 32.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of clauses : 53 ( 45 unt; 0 nHn; 10 RR)
% Number of literals : 70 ( 69 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,inverse(X1)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ).
cnf(c0,plain,
divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),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(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(clausification,[status(esa)],[prove_these_axioms]) ).
cnf(d0,plain,
divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
multiply(multiply(X0,divide(X2,multiply(X0,X1))),X1) = X2,
inference(demodulation,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d4,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(superposition,[status(thm)],[d2,d3]) ).
cnf(d5,plain,
multiply(X2,X1) = multiply(X0,divide(X1,divide(X0,X2))),
inference(superposition,[status(thm)],[d0,d4]) ).
cnf(d6,plain,
divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d7,plain,
multiply(X2,X3) = multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),
inference(superposition,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
multiply(X2,X3) = multiply(multiply(X2,X1),divide(X3,X1)),
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
multiply(multiply(X2,X1),X3) = multiply(X0,divide(X1,divide(X0,multiply(X2,X3)))),
inference(superposition,[status(thm)],[d0,d2]) ).
cnf(d10,plain,
multiply(multiply(X0,X2),divide(X1,X0)) = multiply(X3,divide(X2,divide(X3,X1))),
inference(superposition,[status(thm)],[d4,d9]) ).
cnf(d11,plain,
multiply(multiply(X3,X1),divide(X2,X3)) = multiply(X2,X1),
inference(demodulation,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
divide(multiply(multiply(X4,divide(X2,divide(X4,X5))),X3),X5) = multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),
inference(superposition,[status(thm)],[d6,d6]) ).
cnf(d14,plain,
multiply(X2,multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X3,X5))) = multiply(multiply(X0,divide(X1,divide(X0,X2))),X3),
inference(superposition,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
multiply(X3,multiply(multiply(X2,X1),divide(X4,X1))) = multiply(multiply(X5,divide(X2,divide(X5,X3))),X4),
inference(demodulation,[status(thm)],[d14,d5]) ).
cnf(d16,plain,
multiply(X3,multiply(X0,X2)) = multiply(multiply(X4,divide(X0,divide(X4,X3))),X2),
inference(demodulation,[status(thm)],[d15,d8]) ).
cnf(d17,plain,
multiply(X2,multiply(X1,X3)) = multiply(multiply(X2,X1),X3),
inference(demodulation,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[status(thm)],[c1,d4]) ).
cnf(d19,plain,
multiply(inverse(divide(X1,X0)),X1) = X0,
inference(superposition,[status(thm)],[d4,d18]) ).
cnf(d20,plain,
multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(superposition,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(demodulation,[status(thm)],[d19,d20]) ).
cnf(d22,plain,
divide(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[status(thm)],[d21,d2]) ).
cnf(d23,plain,
multiply(multiply(inverse(X1),X1),X0) = X0,
inference(superposition,[status(thm)],[d22,d4]) ).
cnf(d24,plain,
multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[status(thm)],[d8,d23]) ).
cnf(d25,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(resolution,[status(thm)],[d23,c2]) ).
cnf(d26,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != multiply(inverse(b1),b1) ),
inference(demodulation,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1) ),
inference(demodulation,[status(thm)],[d26,d24]) ).
cnf(d28,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1) ),
inference(demodulation,[status(thm)],[d27,d17]) ).
cnf(d29,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1) ),
inference(demodulation,[status(thm)],[d28,d12]) ).
cnf(d30,plain,
divide(multiply(X2,X1),X3) = multiply(X0,divide(X1,divide(X0,divide(X2,X3)))),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d31,plain,
divide(multiply(multiply(X2,X1),divide(X4,multiply(X0,divide(X1,divide(X0,divide(X2,X3)))))),X3) = X4,
inference(superposition,[status(thm)],[d0,d6]) ).
cnf(d32,plain,
divide(multiply(multiply(X2,X1),divide(X4,divide(multiply(X2,X1),X3))),X3) = X4,
inference(demodulation,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
X2 = X2,
inference(demodulation,[status(thm)],[d32,d0]) ).
cnf(d34,plain,
( multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolution,[status(thm)],[d33,d29]) ).
cnf(d35,plain,
divide(divide(multiply(X2,X1),X3),divide(X2,X3)) = X1,
inference(superposition,[status(thm)],[d30,d0]) ).
cnf(d36,plain,
divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c1,d35]) ).
cnf(d37,plain,
divide(multiply(multiply(X0,X2),X1),multiply(X0,X1)) = X2,
inference(demodulation,[status(thm)],[d36,c1]) ).
cnf(d38,plain,
divide(X1,multiply(inverse(X0),X1)) = X0,
inference(superposition,[status(thm)],[d23,d37]) ).
cnf(d39,plain,
divide(multiply(X1,X0),X1) = X0,
inference(superposition,[status(thm)],[d18,d38]) ).
cnf(d40,plain,
divide(X1,divide(X0,X0)) = X1,
inference(superposition,[status(thm)],[d39,d35]) ).
cnf(d41,plain,
multiply(divide(X1,X1),X0) = X0,
inference(superposition,[status(thm)],[d40,d4]) ).
cnf(d42,plain,
multiply(multiply(X0,divide(X2,X1)),divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[d4,d2]) ).
cnf(d43,plain,
multiply(X1,divide(X0,X0)) = X1,
inference(superposition,[status(thm)],[d4,d42]) ).
cnf(d44,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[d43,d41]) ).
cnf(d45,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(resolution,[status(thm)],[d44,d34]) ).
cnf(d46,plain,
$false,
inference(equality_resolution,[status(thm)],[d45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP096-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 14:24:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.46/4.39 % SZS status Unsatisfiable for theBenchmark.p
% 32.46/4.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------