%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO029-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 06:54:43 AM UTC 2026
% Result : Unsatisfiable 45.85s 9.21s
% Output : CNFRefutation 45.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 3 RR)
% Number of literals : 45 ( 44 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l1,axiom,
add(X0,multiply(X1,multiply(X0,X2))) = X0 ).
cnf(b1,axiom,
multiply(add(X0,X1),add(X0,inverse(X1))) = X0 ).
cnf(l2,axiom,
multiply(X0,add(X1,add(X0,X2))) = X0 ).
cnf(b2,axiom,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0 ).
cnf(commutativity_of_add,axiom,
add(X0,X1) = add(X1,X0) ).
cnf(commutativity_of_multiply,axiom,
multiply(X0,X1) = multiply(X1,X0) ).
cnf(associativity_of_add,axiom,
add(add(X0,X1),X2) = add(X0,add(X1,X2)) ).
cnf(associativity_of_multiply,axiom,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
cnf(prove_equal_inverse,negated_conjecture,
add(b,inverse(b)) != add(a,inverse(a)) ).
cnf(c0,plain,
add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(clausification,[status(esa)],[l1]) ).
cnf(c2,plain,
multiply(add(X0,X1),add(X0,inverse(X1))) = X0,
inference(clausification,[status(esa)],[b1]) ).
cnf(c3,plain,
multiply(X0,add(X1,add(X0,X2))) = X0,
inference(clausification,[status(esa)],[l2]) ).
cnf(c5,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(clausification,[status(esa)],[b2]) ).
cnf(c6,plain,
add(X0,X1) = add(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_add]) ).
cnf(c7,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_multiply]) ).
cnf(c8,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_add]) ).
cnf(c9,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_multiply]) ).
cnf(c10,plain,
add(b,inverse(b)) != add(a,inverse(a)),
inference(clausification,[status(esa)],[prove_equal_inverse]) ).
cnf(d0,plain,
multiply(X0,add(X3,X0)) = X0,
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
add(X0,multiply(X3,X0)) = X0,
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d2,plain,
add(X1,multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c7,d1]) ).
cnf(d3,plain,
add(X0,X0) = X0,
inference(superposition,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
multiply(X0,X0) = X0,
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d6,plain,
multiply(X0,multiply(X1,X0)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
multiply(X1,multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c7,d6]) ).
cnf(d8,plain,
multiply(X0,X0) = multiply(X0,add(X1,X0)),
inference(superposition,[status(thm)],[d0,d7]) ).
cnf(d9,plain,
X0 = multiply(X0,add(X1,X0)),
inference(demodulation,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
X2 = multiply(X2,add(X0,add(X1,X2))),
inference(superposition,[status(thm)],[c8,d9]) ).
cnf(d11,plain,
add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[status(thm)],[c8,c6]) ).
cnf(d12,plain,
add(X2,add(X1,X0)) = add(X1,add(X2,X0)),
inference(superposition,[status(thm)],[c6,d11]) ).
cnf(d13,plain,
add(add(X0,X1),multiply(X2,X0)) = add(X0,X1),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d14,plain,
add(X0,add(X1,multiply(X2,X0))) = add(X0,X1),
inference(demodulation,[status(thm)],[d13,c8]) ).
cnf(d15,plain,
add(X0,X2) = add(X0,add(multiply(X0,X1),X2)),
inference(superposition,[status(thm)],[d2,c8]) ).
cnf(d16,plain,
add(multiply(X1,X0),multiply(X0,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c7,c5]) ).
cnf(d17,plain,
add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(superposition,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
add(inverse(X0),add(X0,X1)) = add(inverse(X0),X0),
inference(superposition,[status(thm)],[d17,d14]) ).
cnf(d19,plain,
add(X0,add(inverse(X0),X1)) = add(inverse(X0),X0),
inference(demodulation,[status(thm)],[d18,d12]) ).
cnf(d20,plain,
add(X0,add(inverse(X0),X1)) = add(X0,inverse(X0)),
inference(demodulation,[status(thm)],[d19,c6]) ).
cnf(d21,plain,
X1 = multiply(X1,add(X0,inverse(X0))),
inference(superposition,[status(thm)],[d20,d10]) ).
cnf(d22,plain,
multiply(X0,add(X2,add(X1,X0))) = X0,
inference(superposition,[status(thm)],[c6,c3]) ).
cnf(d23,plain,
multiply(X1,add(X0,inverse(X0))) = X1,
inference(superposition,[status(thm)],[d20,d22]) ).
cnf(d24,plain,
X0 = multiply(add(X1,inverse(X1)),X0),
inference(superposition,[status(thm)],[d23,c7]) ).
cnf(d25,plain,
add(X0,inverse(X0)) = add(X1,inverse(X1)),
inference(superposition,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[d25,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO029-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 22:37:27 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.85/9.21 % SZS status Unsatisfiable for theBenchmark.p
% 45.85/9.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------