%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:35:26 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.34s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 3 RR)
% Number of literals : 18 ( 17 equ; 1 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_multiply) ).
cnf(c2,axiom,
multiply(add(X,Y),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add) ).
cnf(c3,plain,
multiply(add(X2,X3),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X3 = multiply(add(X2,X3),X3),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
add(X3,X3) = add(multiply(add(X2,X3),X3),X3),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
add(multiply(X2,Y2),Y2) = Y2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_multiply) ).
cnf(c7,plain,
add(multiply(add(X2,X3),X3),X3) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
add(X2,X2) = X2,
inference(transitivity,[status(thm)],[c5,c7]) ).
cnf(c9,plain,
add(multiply(X2,X3),multiply(X2,X3)) = multiply(X2,X3),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
multiply(X2,X3) = add(multiply(X2,X3),multiply(X2,X3)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
multiply(X2,add(Y2,Z)) = add(multiply(Y2,X2),multiply(Z,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(c12,plain,
multiply(X3,add(X2,X2)) = add(multiply(X2,X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
add(multiply(X2,X3),multiply(X2,X3)) = multiply(X3,add(X2,X2)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
multiply(X3,add(X2,X2)) = multiply(X3,X2),
inference(congruence,[status(thm)],[c8]) ).
cnf(c15,plain,
add(multiply(X2,X3),multiply(X2,X3)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c13,c14]) ).
cnf(c16,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c10,c15]) ).
cnf(c17,plain,
multiply(b,a) = multiply(a,b),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
$false,
inference(resolution,[status(thm)],[c1,c17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n016.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 21:09:18 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.34 Command-line arguments: --no-flatten-goal
% 0.23/0.34
% 0.23/0.34 % SZS status Unsatisfiable
% 0.23/0.34
% 0.23/0.34 % SZS output start CNFRefutation
% See solution above
% 0.23/0.35
% 0.23/0.35 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------