%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ROB010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:36:11 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 17 RR)
% Number of literals : 19 ( 18 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
negate(add(c,negate(add(b,a)))) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).
cnf(c2,axiom,
add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
cnf(c3,plain,
add(negate(add(b,a)),c) = add(c,negate(add(b,a))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
add(c,negate(add(b,a))) = add(negate(add(b,a)),c),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
negate(add(c,negate(add(b,a)))) = negate(add(negate(add(b,a)),c)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c7,plain,
c = negate(add(a,negate(b))),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
add(negate(add(b,a)),c) = add(negate(add(b,a)),negate(add(a,negate(b)))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
negate(add(negate(add(b,a)),c)) = negate(add(negate(add(b,a)),negate(add(a,negate(b))))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
add(b,a) = add(a,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
negate(add(b,a)) = negate(add(a,b)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
add(negate(add(b,a)),negate(add(a,negate(b)))) = add(negate(add(a,b)),negate(add(a,negate(b)))),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
negate(add(negate(add(b,a)),negate(add(a,negate(b))))) = negate(add(negate(add(a,b)),negate(add(a,negate(b))))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,axiom,
negate(add(negate(add(X2,Y2)),negate(add(X2,negate(Y2))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).
cnf(c15,plain,
negate(add(negate(add(a,b)),negate(add(a,negate(b))))) = a,
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
negate(add(negate(add(b,a)),negate(add(a,negate(b))))) = a,
inference(transitivity,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
negate(add(negate(add(b,a)),c)) = a,
inference(transitivity,[status(thm)],[c9,c16]) ).
cnf(c18,plain,
negate(add(c,negate(add(b,a)))) = a,
inference(transitivity,[status(thm)],[c5,c17]) ).
cnf(c19,plain,
$false,
inference(resolution,[status(thm)],[c1,c18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.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 : Sun Sep 27 23:28:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.45 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
% 0.09/0.45
% 0.09/0.45 % SZS status Unsatisfiable
% 0.09/0.45
% 0.09/0.45 % SZS output start CNFRefutation
% See solution above
% 0.16/0.46
% 0.16/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------