%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : RNG023-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 : Tue Sep 29 12:34:47 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.36s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 3 RR)
% Number of literals : 44 ( 43 equ; 1 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 90 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
associator(x,x,y) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_alternative) ).
cnf(c2,axiom,
add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
cnf(c3,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))) = add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)) = add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiply(X2,additive_inverse(Y2)) = additive_inverse(multiply(X2,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).
cnf(c6,plain,
multiply(X3,additive_inverse(X2)) = additive_inverse(multiply(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
multiply(X4,multiply(X3,additive_inverse(X2))) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))) = add(multiply(multiply(X4,X3),X2),multiply(X4,additive_inverse(multiply(X3,X2)))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
multiply(X4,additive_inverse(multiply(X3,X2))) = additive_inverse(multiply(X4,multiply(X3,X2))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c10,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,additive_inverse(multiply(X3,X2)))) = add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,axiom,
associator(X2,Y2,Z) = add(multiply(multiply(X2,Y2),Z),additive_inverse(multiply(X2,multiply(Y2,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
cnf(c12,plain,
associator(X4,X3,X2) = add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))) = associator(X4,X3,X2),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,additive_inverse(multiply(X3,X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c10,c13]) ).
cnf(c15,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c8,c14]) ).
cnf(c16,plain,
add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c4,c15]) ).
cnf(c17,plain,
add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(multiply(X3,X3),X2)) = associator(X3,X3,X2),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
associator(X3,X3,X2) = add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(multiply(X3,X3),X2)),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,axiom,
multiply(multiply(X2,X2),Y2) = multiply(X2,multiply(X2,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
cnf(c20,plain,
multiply(multiply(X3,X3),X2) = multiply(X3,multiply(X3,X2)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(multiply(X3,X3),X2)) = add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(X3,multiply(X3,X2))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,axiom,
multiply(X2,add(Y2,Z2)) = add(multiply(X2,Y2),multiply(X2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
cnf(c23,plain,
multiply(X3,add(multiply(X3,additive_inverse(X2)),multiply(X3,X2))) = add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(X3,multiply(X3,X2))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(X3,multiply(X3,X2))) = multiply(X3,add(multiply(X3,additive_inverse(X2)),multiply(X3,X2))),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
multiply(X3,add(additive_inverse(X2),X2)) = add(multiply(X3,additive_inverse(X2)),multiply(X3,X2)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c26,plain,
add(multiply(X3,additive_inverse(X2)),multiply(X3,X2)) = multiply(X3,add(additive_inverse(X2),X2)),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(X3,add(multiply(X3,additive_inverse(X2)),multiply(X3,X2))) = multiply(X3,multiply(X3,add(additive_inverse(X2),X2))),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
add(additive_inverse(X2),X2) = add(X2,additive_inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c29,plain,
multiply(X3,add(additive_inverse(X2),X2)) = multiply(X3,add(X2,additive_inverse(X2))),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
multiply(X3,multiply(X3,add(additive_inverse(X2),X2))) = multiply(X3,multiply(X3,add(X2,additive_inverse(X2)))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,axiom,
add(X2,additive_inverse(X2)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c32,plain,
multiply(X3,add(X2,additive_inverse(X2))) = multiply(X3,additive_identity),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
multiply(X3,multiply(X3,add(X2,additive_inverse(X2)))) = multiply(X3,multiply(X3,additive_identity)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,axiom,
multiply(X2,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c35,plain,
multiply(X2,multiply(X2,additive_identity)) = multiply(X2,additive_identity),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
multiply(X2,multiply(X2,additive_identity)) = additive_identity,
inference(transitivity,[status(thm)],[c35,c34]) ).
cnf(c37,plain,
multiply(X3,multiply(X3,add(X2,additive_inverse(X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c33,c36]) ).
cnf(c38,plain,
multiply(X3,multiply(X3,add(additive_inverse(X2),X2))) = additive_identity,
inference(transitivity,[status(thm)],[c30,c37]) ).
cnf(c39,plain,
multiply(X3,add(multiply(X3,additive_inverse(X2)),multiply(X3,X2))) = additive_identity,
inference(transitivity,[status(thm)],[c27,c38]) ).
cnf(c40,plain,
add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(X3,multiply(X3,X2))) = additive_identity,
inference(transitivity,[status(thm)],[c24,c39]) ).
cnf(c41,plain,
add(multiply(X3,multiply(X3,additive_inverse(X2))),multiply(multiply(X3,X3),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c21,c40]) ).
cnf(c42,plain,
associator(X3,X3,X2) = additive_identity,
inference(transitivity,[status(thm)],[c18,c41]) ).
cnf(c43,plain,
associator(x,x,y) = additive_identity,
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
$false,
inference(resolution,[status(thm)],[c1,c43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG023-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sun Sep 27 22:58:49 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.36 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.06/0.36
% 0.06/0.36 % SZS status Unsatisfiable
% 0.06/0.36
% 0.06/0.36 % SZS output start CNFRefutation
% See solution above
% 0.06/0.37
% 0.06/0.37 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------