%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO072-1 : 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 : n013.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 06:54:46 AM UTC 2026
% Result : Unsatisfiable 49.41s 6.94s
% Output : CNFRefutation 49.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 3 RR)
% Number of literals : 55 ( 54 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 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 : 102 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dn1,axiom,
inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2 ).
cnf(huntinton_1,negated_conjecture,
add(b,a) != add(a,b) ).
cnf(c0,plain,
inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
inference(clausification,[status(esa)],[dn1]) ).
cnf(c1,plain,
add(b,a) != add(a,b),
inference(clausification,[status(esa)],[huntinton_1]) ).
cnf(d0,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X0)),X1)),X0)),X3)),inverse(X0))),X0)) = inverse(X0),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
inverse(add(inverse(add(X0,inverse(X0))),X0)) = inverse(X0),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
inverse(add(inverse(add(inverse(add(X2,X3)),X0)),inverse(add(X2,X0)))) = X0,
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
inverse(add(inverse(add(X0,X2)),inverse(add(inverse(X0),X2)))) = X2,
inference(superposition,[status(thm)],[d2,d3]) ).
cnf(d5,plain,
inverse(add(inverse(add(X1,X2)),inverse(add(inverse(add(X0,X1)),X2)))) = X2,
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
inverse(add(inverse(add(inverse(X0),X0)),inverse(X0))) = X0,
inference(superposition,[status(thm)],[d1,d5]) ).
cnf(d7,plain,
inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))) = inverse(X0),
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
inverse(add(inverse(add(add(X0,inverse(X0)),X0)),inverse(X0))) = X0,
inference(superposition,[status(thm)],[d1,d4]) ).
cnf(d9,plain,
inverse(add(X0,inverse(add(add(X0,inverse(X0)),inverse(X0))))) = inverse(X0),
inference(superposition,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))))) = X0,
inference(superposition,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
inverse(add(inverse(X0),inverse(X0))) = X0,
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0,
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d13,plain,
inverse(add(inverse(add(X0,inverse(add(X0,X0)))),X0)) = inverse(add(X0,X0)),
inference(superposition,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
inverse(add(inverse(add(X0,X0)),inverse(add(X0,X0)))) = X0,
inference(superposition,[status(thm)],[d13,d3]) ).
cnf(d15,plain,
add(X0,X0) = X0,
inference(demodulation,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
inverse(add(inverse(X0),inverse(X0))) = X0,
inference(demodulation,[status(thm)],[d12,d15]) ).
cnf(d17,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
inverse(add(X0,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[d7,d11]) ).
cnf(d19,plain,
inverse(X0) = inverse(X0),
inference(demodulation,[status(thm)],[d18,d15]) ).
cnf(d20,plain,
X0 = inverse(inverse(X0)),
inference(superposition,[status(thm)],[d17,d19]) ).
cnf(d21,plain,
inverse(add(inverse(add(inverse(add(X0,X1)),X0)),inverse(X0))) = X0,
inference(superposition,[status(thm)],[d15,d3]) ).
cnf(d22,plain,
inverse(X0) = add(inverse(add(inverse(add(X0,X1)),X0)),inverse(X0)),
inference(superposition,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
inverse(add(inverse(add(X2,inverse(add(X0,X2)))),X2)) = inverse(add(X0,X2)),
inference(superposition,[status(thm)],[d3,d5]) ).
cnf(d24,plain,
inverse(X0) = add(inverse(add(X1,X0)),inverse(X0)),
inference(superposition,[status(thm)],[d23,d22]) ).
cnf(d25,plain,
inverse(inverse(X0)) = add(inverse(add(X1,inverse(X0))),X0),
inference(superposition,[status(thm)],[d20,d24]) ).
cnf(d26,plain,
X0 = add(inverse(add(X1,inverse(X0))),X0),
inference(demodulation,[status(thm)],[d25,d17]) ).
cnf(d27,plain,
inverse(add(inverse(X1),inverse(add(X0,X1)))) = X1,
inference(superposition,[status(thm)],[d26,d3]) ).
cnf(d28,plain,
inverse(X0) = add(inverse(X0),inverse(add(X1,X0))),
inference(superposition,[status(thm)],[d27,d17]) ).
cnf(d29,plain,
inverse(inverse(X0)) = add(X0,inverse(add(X1,inverse(X0)))),
inference(superposition,[status(thm)],[d20,d28]) ).
cnf(d30,plain,
X0 = add(X0,inverse(add(X1,inverse(X0)))),
inference(demodulation,[status(thm)],[d29,d17]) ).
cnf(d31,plain,
inverse(add(inverse(add(X2,X4)),inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(inverse(X4),inverse(add(X4,X5)))))))) = X4,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d32,plain,
inverse(add(inverse(add(inverse(add(X0,X2)),X0)),inverse(add(X0,X2)))) = X0,
inference(superposition,[status(thm)],[d3,d31]) ).
cnf(d33,plain,
add(X0,X1) = add(add(X0,X1),X0),
inference(superposition,[status(thm)],[d32,d30]) ).
cnf(d34,plain,
X0 = add(X0,inverse(add(inverse(X0),X1))),
inference(superposition,[status(thm)],[d33,d30]) ).
cnf(d35,plain,
add(X0,X1) = add(X0,add(X0,X1)),
inference(superposition,[status(thm)],[d32,d26]) ).
cnf(d36,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))),X2)),X0)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))) = X0,
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d37,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),add(inverse(X0),inverse(add(X0,X1))))),X2)),X0)),inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))))) = X0,
inference(demodulation,[status(thm)],[d36,d17]) ).
cnf(d38,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X0),inverse(add(X0,X1)))),add(inverse(X0),inverse(add(X0,X1))))),X2)),X0)),add(inverse(X0),inverse(add(X0,X1))))) = X0,
inference(demodulation,[status(thm)],[d37,d17]) ).
cnf(d39,plain,
inverse(add(inverse(X0),add(inverse(X0),inverse(add(X0,X1))))) = X0,
inference(superposition,[status(thm)],[d26,d38]) ).
cnf(d40,plain,
add(inverse(X0),add(inverse(X0),inverse(add(X0,X1)))) = inverse(X0),
inference(superposition,[status(thm)],[d39,d20]) ).
cnf(d41,plain,
add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
inference(demodulation,[status(thm)],[d40,d35]) ).
cnf(d42,plain,
inverse(add(X1,inverse(add(X0,inverse(add(inverse(inverse(add(inverse(X0),X1))),inverse(add(inverse(add(inverse(X0),X1)),X2)))))))) = inverse(add(inverse(X0),X1)),
inference(superposition,[status(thm)],[d4,c0]) ).
cnf(d43,plain,
inverse(add(X1,inverse(add(X0,inverse(inverse(inverse(add(inverse(X0),X1)))))))) = inverse(add(inverse(X0),X1)),
inference(demodulation,[status(thm)],[d42,d41]) ).
cnf(d44,plain,
inverse(add(X1,inverse(add(X0,inverse(add(inverse(X0),X1)))))) = inverse(add(inverse(X0),X1)),
inference(demodulation,[status(thm)],[d43,d17]) ).
cnf(d45,plain,
inverse(add(X1,inverse(X0))) = inverse(add(inverse(X0),X1)),
inference(demodulation,[status(thm)],[d44,d34]) ).
cnf(d46,plain,
add(X0,inverse(X1)) = inverse(inverse(add(inverse(X1),X0))),
inference(superposition,[status(thm)],[d45,d20]) ).
cnf(d47,plain,
add(X1,inverse(X0)) = add(inverse(X0),X1),
inference(demodulation,[status(thm)],[d46,d17]) ).
cnf(d48,plain,
add(X1,X0) = add(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[d20,d47]) ).
cnf(d49,plain,
add(X1,X0) = add(X0,X1),
inference(demodulation,[status(thm)],[d48,d17]) ).
cnf(d50,plain,
$false,
inference(resolution,[status(thm)],[d49,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO072-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 22:42:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.41/6.94 % SZS status Unsatisfiable for theBenchmark.p
% 49.41/6.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------