%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 07:44:22 AM UTC 2026
% Result : Theorem 82.18s 10.88s
% Output : CNFRefutation 82.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 19
% Syntax : Number of formulae : 168 ( 164 unt; 0 def)
% Number of atoms : 176 ( 175 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 179 ( 3 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('theBenchmark.p',additive_commutativity) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('theBenchmark.p',additive_associativity) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A,
file('theBenchmark.p',additive_identity) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A,
file('theBenchmark.p',additive_idempotence) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A,
file('theBenchmark.p',multiplicative_right_identity) ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A,
file('theBenchmark.p',multiplicative_left_identity) ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('theBenchmark.p',right_distributivity) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('theBenchmark.p',left_distributivity) ).
fof(right_annihilation,axiom,
! [A] : multiplication(A,zero) = zero,
file('theBenchmark.p',right_annihilation) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero,
file('theBenchmark.p',left_annihilation) ).
fof(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('theBenchmark.p',domain1) ).
fof(domain2,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('theBenchmark.p',domain2) ).
fof(domain3,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('theBenchmark.p',domain3) ).
fof(domain4,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('theBenchmark.p',domain4) ).
fof(codomain1,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('theBenchmark.p',codomain1) ).
fof(codomain3,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('theBenchmark.p',codomain3) ).
fof(domain_difference,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
file('theBenchmark.p',domain_difference) ).
fof(forward_diamond,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('theBenchmark.p',forward_diamond) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(nnf_29,plain,
? [X0] :
( ? [X2] :
( domain(X2) != zero
& forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2))) )
& ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( domain(sK0) != zero
& forward_diamond(sK1,domain(sK0)) = addition(domain(sK0),forward_diamond(sK1,domain(sK0)))
& ! [X1] : forward_diamond(star(sK1),domain_difference(domain(X1),forward_diamond(sK1,domain(X1)))) = addition(forward_diamond(sK1,domain(X1)),forward_diamond(star(sK1),domain_difference(domain(X1),forward_diamond(sK1,domain(X1))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK0]),skolemize(X0,sK1),skolemize(X2,sK0)],[nnf_29]) ).
cnf(c_32,negated_conjecture,
domain(sK0) != zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_33,negated_conjecture,
forward_diamond(sK1,domain(sK0)) = addition(domain(sK0),forward_diamond(sK1,domain(sK0))),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_34,negated_conjecture,
addition(domain(sK0),forward_diamond(sK1,domain(sK0))) = forward_diamond(sK1,domain(sK0)),
inference(copy,[status(thm)],[c_33]) ).
cnf(c_35,negated_conjecture,
forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))) = addition(forward_diamond(sK1,domain(A)),forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A))))),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_36,negated_conjecture,
addition(forward_diamond(sK1,domain(A)),forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(copy,[status(thm)],[c_35]) ).
cnf(c_44,plain,
forward_diamond(A,B) = domain(multiplication(A,domain(B))),
inference(clausify,[status(thm)],[forward_diamond]) ).
cnf(c_45,plain,
domain_difference(A,B) = multiplication(domain(A),antidomain(B)),
inference(clausify,[status(thm)],[domain_difference]) ).
cnf(c_48,plain,
addition(coantidomain(coantidomain(A)),coantidomain(A)) = one,
inference(clausify,[status(thm)],[codomain3]) ).
cnf(c_51,plain,
multiplication(A,coantidomain(A)) = zero,
inference(clausify,[status(thm)],[codomain1]) ).
cnf(c_52,plain,
domain(A) = antidomain(antidomain(A)),
inference(clausify,[status(thm)],[domain4]) ).
cnf(c_53,plain,
addition(antidomain(antidomain(A)),antidomain(A)) = one,
inference(clausify,[status(thm)],[domain3]) ).
cnf(c_54,plain,
antidomain(multiplication(A,antidomain(antidomain(B)))) = addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B))))),
inference(clausify,[status(thm)],[domain2]) ).
cnf(c_55,plain,
addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B))))) = antidomain(multiplication(A,antidomain(antidomain(B)))),
inference(copy,[status(thm)],[c_54]) ).
cnf(c_56,plain,
multiplication(antidomain(A),A) = zero,
inference(clausify,[status(thm)],[domain1]) ).
cnf(c_57,plain,
multiplication(zero,A) = zero,
inference(clausify,[status(thm)],[left_annihilation]) ).
cnf(c_58,plain,
multiplication(A,zero) = zero,
inference(clausify,[status(thm)],[right_annihilation]) ).
cnf(c_59,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(clausify,[status(thm)],[left_distributivity]) ).
cnf(c_60,plain,
addition(multiplication(A,B),multiplication(C,B)) = multiplication(addition(A,C),B),
inference(copy,[status(thm)],[c_59]) ).
cnf(c_61,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(clausify,[status(thm)],[right_distributivity]) ).
cnf(c_62,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(copy,[status(thm)],[c_61]) ).
cnf(c_63,plain,
multiplication(one,A) = A,
inference(clausify,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_64,plain,
multiplication(A,one) = A,
inference(clausify,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_66,plain,
addition(A,A) = A,
inference(clausify,[status(thm)],[additive_idempotence]) ).
cnf(c_67,plain,
addition(A,zero) = A,
inference(clausify,[status(thm)],[additive_identity]) ).
cnf(c_68,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(clausify,[status(thm)],[additive_associativity]) ).
cnf(c_69,plain,
addition(A,B) = addition(B,A),
inference(clausify,[status(thm)],[additive_commutativity]) ).
cnf(c_7282,negated_conjecture,
addition(forward_diamond(sK1,antidomain(antidomain(A))),forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_36]) ).
cnf(c_7283,negated_conjecture,
addition(domain(multiplication(sK1,domain(antidomain(antidomain(A))))),forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_44,c_7282]) ).
cnf(c_7284,negated_conjecture,
addition(domain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))),forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7283]) ).
cnf(c_7285,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7284]) ).
cnf(c_7286,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),forward_diamond(sK1,domain(A))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7285]) ).
cnf(c_7287,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),forward_diamond(sK1,antidomain(antidomain(A)))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7286]) ).
cnf(c_7288,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),domain(multiplication(sK1,domain(antidomain(antidomain(A)))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_44,c_7287]) ).
cnf(c_7289,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),domain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7288]) ).
cnf(c_7290,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7289]) ).
cnf(c_7291,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),multiplication(domain(antidomain(antidomain(A))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_45,c_7290]) ).
cnf(c_7292,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),forward_diamond(star(sK1),multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7291]) ).
cnf(c_7293,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),domain(multiplication(star(sK1),domain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_44,c_7292]) ).
cnf(c_7294,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),domain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7293]) ).
cnf(c_7295,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),domain_difference(domain(A),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7294]) ).
cnf(c_7296,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),forward_diamond(sK1,domain(A)))),
inference(paramod,[status(thm)],[c_52,c_7295]) ).
cnf(c_7297,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),forward_diamond(sK1,antidomain(antidomain(A))))),
inference(paramod,[status(thm)],[c_52,c_7296]) ).
cnf(c_7298,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),domain(multiplication(sK1,domain(antidomain(antidomain(A))))))),
inference(paramod,[status(thm)],[c_44,c_7297]) ).
cnf(c_7299,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),domain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))),
inference(paramod,[status(thm)],[c_52,c_7298]) ).
cnf(c_7300,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),domain_difference(antidomain(antidomain(A)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))),
inference(paramod,[status(thm)],[c_52,c_7299]) ).
cnf(c_7301,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),multiplication(domain(antidomain(antidomain(A))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))),
inference(paramod,[status(thm)],[c_45,c_7300]) ).
cnf(c_7302,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = forward_diamond(star(sK1),multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))),
inference(paramod,[status(thm)],[c_52,c_7301]) ).
cnf(c_7303,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = domain(multiplication(star(sK1),domain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))),
inference(paramod,[status(thm)],[c_44,c_7302]) ).
cnf(c_7304,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = domain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))),
inference(paramod,[status(thm)],[c_52,c_7303]) ).
cnf(c_74,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))))))))))) = antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))),
inference(paramod,[status(thm)],[c_52,c_7304]) ).
cnf(c_7305,negated_conjecture,
addition(antidomain(antidomain(sK0)),forward_diamond(sK1,domain(sK0))) = forward_diamond(sK1,domain(sK0)),
inference(paramod,[status(thm)],[c_52,c_34]) ).
cnf(c_7306,negated_conjecture,
addition(antidomain(antidomain(sK0)),forward_diamond(sK1,antidomain(antidomain(sK0)))) = forward_diamond(sK1,domain(sK0)),
inference(paramod,[status(thm)],[c_52,c_7305]) ).
cnf(c_7307,negated_conjecture,
addition(antidomain(antidomain(sK0)),domain(multiplication(sK1,domain(antidomain(antidomain(sK0)))))) = forward_diamond(sK1,domain(sK0)),
inference(paramod,[status(thm)],[c_44,c_7306]) ).
cnf(c_7308,negated_conjecture,
addition(antidomain(antidomain(sK0)),domain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))) = forward_diamond(sK1,domain(sK0)),
inference(paramod,[status(thm)],[c_52,c_7307]) ).
cnf(c_7309,negated_conjecture,
addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0)))))))) = forward_diamond(sK1,domain(sK0)),
inference(paramod,[status(thm)],[c_52,c_7308]) ).
cnf(c_7310,negated_conjecture,
addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0)))))))) = forward_diamond(sK1,antidomain(antidomain(sK0))),
inference(paramod,[status(thm)],[c_52,c_7309]) ).
cnf(c_7311,negated_conjecture,
addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0)))))))) = domain(multiplication(sK1,domain(antidomain(antidomain(sK0))))),
inference(paramod,[status(thm)],[c_44,c_7310]) ).
cnf(c_7312,negated_conjecture,
addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0)))))))) = domain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0)))))),
inference(paramod,[status(thm)],[c_52,c_7311]) ).
cnf(c_75,negated_conjecture,
addition(antidomain(antidomain(sK0)),antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0)))))))) = antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))),
inference(paramod,[status(thm)],[c_52,c_7312]) ).
cnf(c_80,negated_conjecture,
antidomain(antidomain(sK0)) != zero,
inference(paramod,[status(thm)],[c_52,c_32]) ).
cnf(c_81,plain,
addition(antidomain(A),antidomain(antidomain(A))) = one,
inference(paramod,[status(thm)],[c_69,c_53]) ).
cnf(c_82,plain,
addition(coantidomain(A),coantidomain(coantidomain(A))) = one,
inference(paramod,[status(thm)],[c_69,c_48]) ).
cnf(c_7313,plain,
addition(multiplication(A,coantidomain(B)),zero) = multiplication(addition(A,B),coantidomain(B)),
inference(paramod,[status(thm)],[c_51,c_60]) ).
cnf(c_7314,plain,
addition(zero,multiplication(A,coantidomain(B))) = multiplication(addition(A,B),coantidomain(B)),
inference(paramod,[status(thm)],[c_69,c_7313]) ).
cnf(c_92,plain,
multiplication(addition(A,B),coantidomain(B)) = addition(zero,multiplication(A,coantidomain(B))),
inference(copy,[status(thm)],[c_7314]) ).
cnf(c_7315,plain,
addition(zero,multiplication(A,B)) = multiplication(addition(antidomain(B),A),B),
inference(paramod,[status(thm)],[c_56,c_60]) ).
cnf(c_93,plain,
multiplication(addition(antidomain(A),B),A) = addition(zero,multiplication(B,A)),
inference(copy,[status(thm)],[c_7315]) ).
cnf(c_7316,plain,
addition(multiplication(A,B),zero) = multiplication(addition(A,antidomain(B)),B),
inference(paramod,[status(thm)],[c_56,c_60]) ).
cnf(c_7317,plain,
addition(zero,multiplication(A,B)) = multiplication(addition(A,antidomain(B)),B),
inference(paramod,[status(thm)],[c_69,c_7316]) ).
cnf(c_94,plain,
multiplication(addition(A,antidomain(B)),B) = addition(zero,multiplication(A,B)),
inference(copy,[status(thm)],[c_7317]) ).
cnf(c_95,plain,
addition(zero,multiplication(A,B)) = multiplication(addition(zero,A),B),
inference(paramod,[status(thm)],[c_57,c_60]) ).
cnf(c_7318,plain,
addition(multiplication(A,B),zero) = multiplication(addition(A,zero),B),
inference(paramod,[status(thm)],[c_57,c_60]) ).
cnf(c_7319,plain,
addition(zero,multiplication(A,B)) = multiplication(addition(A,zero),B),
inference(paramod,[status(thm)],[c_69,c_7318]) ).
cnf(c_7320,plain,
multiplication(addition(zero,A),B) = multiplication(addition(A,zero),B),
inference(paramod,[status(thm)],[c_95,c_7319]) ).
cnf(c_96,plain,
multiplication(addition(zero,A),B) = multiplication(A,B),
inference(paramod,[status(thm)],[c_67,c_7320]) ).
cnf(c_7321,plain,
multiplication(addition(A,antidomain(B)),B) = multiplication(addition(zero,A),B),
inference(paramod,[status(thm)],[c_95,c_94]) ).
cnf(c_97,plain,
multiplication(addition(A,antidomain(B)),B) = multiplication(A,B),
inference(paramod,[status(thm)],[c_96,c_7321]) ).
cnf(c_7322,plain,
multiplication(addition(antidomain(A),B),A) = multiplication(addition(zero,B),A),
inference(paramod,[status(thm)],[c_95,c_93]) ).
cnf(c_98,plain,
multiplication(addition(antidomain(A),B),A) = multiplication(B,A),
inference(paramod,[status(thm)],[c_96,c_7322]) ).
cnf(c_7323,plain,
multiplication(addition(A,B),coantidomain(B)) = multiplication(addition(zero,A),coantidomain(B)),
inference(paramod,[status(thm)],[c_95,c_92]) ).
cnf(c_99,plain,
multiplication(addition(A,B),coantidomain(B)) = multiplication(A,coantidomain(B)),
inference(paramod,[status(thm)],[c_96,c_7323]) ).
cnf(c_101,plain,
addition(zero,multiplication(A,B)) = multiplication(A,B),
inference(paramod,[status(thm)],[c_96,c_95]) ).
cnf(c_7324,plain,
addition(zero,multiplication(antidomain(A),B)) = multiplication(antidomain(A),addition(A,B)),
inference(paramod,[status(thm)],[c_56,c_62]) ).
cnf(c_7325,plain,
multiplication(antidomain(A),B) = multiplication(antidomain(A),addition(A,B)),
inference(paramod,[status(thm)],[c_101,c_7324]) ).
cnf(c_104,plain,
multiplication(antidomain(A),addition(A,B)) = multiplication(antidomain(A),B),
inference(copy,[status(thm)],[c_7325]) ).
cnf(c_7326,plain,
addition(multiplication(antidomain(A),B),zero) = multiplication(antidomain(A),addition(B,A)),
inference(paramod,[status(thm)],[c_56,c_62]) ).
cnf(c_7327,plain,
addition(zero,multiplication(antidomain(A),B)) = multiplication(antidomain(A),addition(B,A)),
inference(paramod,[status(thm)],[c_69,c_7326]) ).
cnf(c_7328,plain,
multiplication(antidomain(A),B) = multiplication(antidomain(A),addition(B,A)),
inference(paramod,[status(thm)],[c_101,c_7327]) ).
cnf(c_105,plain,
multiplication(antidomain(A),addition(B,A)) = multiplication(antidomain(A),B),
inference(copy,[status(thm)],[c_7328]) ).
cnf(c_108,plain,
coantidomain(one) = zero,
inference(paramod,[status(thm)],[c_63,c_51]) ).
cnf(c_115,plain,
antidomain(one) = zero,
inference(paramod,[status(thm)],[c_64,c_56]) ).
cnf(c_7329,plain,
addition(A,B) = addition(A,addition(A,B)),
inference(paramod,[status(thm)],[c_66,c_68]) ).
cnf(c_133,plain,
addition(A,addition(A,B)) = addition(A,B),
inference(copy,[status(thm)],[c_7329]) ).
cnf(c_137,plain,
addition(zero,A) = A,
inference(paramod,[status(thm)],[c_69,c_67]) ).
cnf(c_7330,plain,
addition(zero,coantidomain(coantidomain(one))) = one,
inference(paramod,[status(thm)],[c_108,c_82]) ).
cnf(c_7331,plain,
addition(zero,coantidomain(zero)) = one,
inference(paramod,[status(thm)],[c_108,c_7330]) ).
cnf(c_159,plain,
coantidomain(zero) = one,
inference(paramod,[status(thm)],[c_137,c_7331]) ).
cnf(c_7332,plain,
addition(zero,antidomain(antidomain(one))) = one,
inference(paramod,[status(thm)],[c_115,c_81]) ).
cnf(c_7333,plain,
addition(zero,antidomain(zero)) = one,
inference(paramod,[status(thm)],[c_115,c_7332]) ).
cnf(c_166,plain,
antidomain(zero) = one,
inference(paramod,[status(thm)],[c_137,c_7333]) ).
cnf(c_7334,plain,
multiplication(antidomain(antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))) = multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))),
inference(paramod,[status(thm)],[c_74,c_97]) ).
cnf(c_7335,plain,
zero = multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))),
inference(paramod,[status(thm)],[c_56,c_7334]) ).
cnf(c_182,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A))))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))) = zero,
inference(copy,[status(thm)],[c_7335]) ).
cnf(c_7336,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))),antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))) = multiplication(antidomain(antidomain(sK0)),antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))),
inference(paramod,[status(thm)],[c_75,c_97]) ).
cnf(c_7337,plain,
zero = multiplication(antidomain(antidomain(sK0)),antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))),
inference(paramod,[status(thm)],[c_56,c_7336]) ).
cnf(c_183,plain,
multiplication(antidomain(antidomain(sK0)),antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))) = zero,
inference(copy,[status(thm)],[c_7337]) ).
cnf(c_7338,plain,
multiplication(one,A) = multiplication(antidomain(antidomain(A)),A),
inference(paramod,[status(thm)],[c_81,c_98]) ).
cnf(c_7339,plain,
A = multiplication(antidomain(antidomain(A)),A),
inference(paramod,[status(thm)],[c_63,c_7338]) ).
cnf(c_191,plain,
multiplication(antidomain(antidomain(A)),A) = A,
inference(copy,[status(thm)],[c_7339]) ).
cnf(c_7340,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))))) = multiplication(antidomain(antidomain(sK0)),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))))),
inference(paramod,[status(thm)],[c_75,c_99]) ).
cnf(c_7341,plain,
zero = multiplication(antidomain(antidomain(sK0)),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))))),
inference(paramod,[status(thm)],[c_51,c_7340]) ).
cnf(c_203,plain,
multiplication(antidomain(antidomain(sK0)),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(sK0))))))))) = zero,
inference(copy,[status(thm)],[c_7341]) ).
cnf(c_269,plain,
addition(antidomain(multiplication(antidomain(A),B)),antidomain(multiplication(antidomain(A),antidomain(antidomain(addition(A,B)))))) = antidomain(multiplication(antidomain(A),antidomain(antidomain(addition(A,B))))),
inference(paramod,[status(thm)],[c_104,c_55]) ).
cnf(c_7342,plain,
multiplication(antidomain(antidomain(antidomain(A))),one) = multiplication(antidomain(antidomain(antidomain(A))),antidomain(A)),
inference(paramod,[status(thm)],[c_81,c_105]) ).
cnf(c_7343,plain,
antidomain(antidomain(antidomain(A))) = multiplication(antidomain(antidomain(antidomain(A))),antidomain(A)),
inference(paramod,[status(thm)],[c_64,c_7342]) ).
cnf(c_290,plain,
antidomain(antidomain(antidomain(A))) = antidomain(A),
inference(paramod,[status(thm)],[c_191,c_7343]) ).
cnf(c_295,plain,
multiplication(antidomain(antidomain(sK0)),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))))) = zero,
inference(paramod,[status(thm)],[c_290,c_203]) ).
cnf(c_297,plain,
multiplication(antidomain(antidomain(sK0)),antidomain(multiplication(sK1,antidomain(antidomain(sK0))))) = zero,
inference(paramod,[status(thm)],[c_290,c_183]) ).
cnf(c_7344,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(A))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(A)))),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))) = zero,
inference(paramod,[status(thm)],[c_290,c_182]) ).
cnf(c_7345,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(A))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(A)),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(A)))))))))))))) = zero,
inference(paramod,[status(thm)],[c_290,c_7344]) ).
cnf(c_7346,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(A))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(A)),antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(A)))))))))))) = zero,
inference(paramod,[status(thm)],[c_290,c_7345]) ).
cnf(c_298,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(A))))),antidomain(multiplication(star(sK1),antidomain(antidomain(multiplication(antidomain(antidomain(A)),antidomain(multiplication(sK1,antidomain(antidomain(A)))))))))) = zero,
inference(paramod,[status(thm)],[c_290,c_7346]) ).
cnf(c_7347,plain,
addition(antidomain(A),one) = addition(antidomain(A),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_81,c_133]) ).
cnf(c_7348,plain,
addition(one,antidomain(A)) = addition(antidomain(A),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_69,c_7347]) ).
cnf(c_394,plain,
addition(one,antidomain(A)) = one,
inference(paramod,[status(thm)],[c_81,c_7348]) ).
cnf(c_7349,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0)))))))))))) = antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))))))))),
inference(paramod,[status(thm)],[c_295,c_269]) ).
cnf(c_7350,plain,
addition(one,antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0)))))))))))) = antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))))))))),
inference(paramod,[status(thm)],[c_166,c_7349]) ).
cnf(c_7351,plain,
one = antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))))))))),
inference(paramod,[status(thm)],[c_394,c_7350]) ).
cnf(c_6925,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))))))))) = one,
inference(copy,[status(thm)],[c_7351]) ).
cnf(c_7352,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))),antidomain(multiplication(star(sK1),antidomain(antidomain(zero))))) = zero,
inference(paramod,[status(thm)],[c_297,c_298]) ).
cnf(c_7353,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))),antidomain(multiplication(star(sK1),antidomain(one)))) = zero,
inference(paramod,[status(thm)],[c_166,c_7352]) ).
cnf(c_7354,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))),antidomain(multiplication(star(sK1),zero))) = zero,
inference(paramod,[status(thm)],[c_115,c_7353]) ).
cnf(c_7355,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))),antidomain(zero)) = zero,
inference(paramod,[status(thm)],[c_58,c_7354]) ).
cnf(c_7356,plain,
multiplication(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))),one) = zero,
inference(paramod,[status(thm)],[c_166,c_7355]) ).
cnf(c_7278,plain,
antidomain(antidomain(multiplication(sK1,antidomain(antidomain(sK0))))) = zero,
inference(paramod,[status(thm)],[c_64,c_7356]) ).
cnf(c_7357,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),coantidomain(zero)))))) = one,
inference(paramod,[status(thm)],[c_7278,c_6925]) ).
cnf(c_7358,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(antidomain(sK0),one))))) = one,
inference(paramod,[status(thm)],[c_159,c_7357]) ).
cnf(c_7359,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(addition(one,antidomain(sK0)))))) = one,
inference(paramod,[status(thm)],[c_69,c_7358]) ).
cnf(c_7360,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(antidomain(one)))) = one,
inference(paramod,[status(thm)],[c_394,c_7359]) ).
cnf(c_7361,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),antidomain(zero))) = one,
inference(paramod,[status(thm)],[c_115,c_7360]) ).
cnf(c_7362,plain,
antidomain(multiplication(antidomain(antidomain(sK0)),one)) = one,
inference(paramod,[status(thm)],[c_166,c_7361]) ).
cnf(c_7363,plain,
antidomain(antidomain(antidomain(sK0))) = one,
inference(paramod,[status(thm)],[c_64,c_7362]) ).
cnf(c_7280,plain,
antidomain(sK0) = one,
inference(paramod,[status(thm)],[c_290,c_7363]) ).
cnf(c_7364,negated_conjecture,
antidomain(one) != zero,
inference(paramod,[status(thm)],[c_7280,c_80]) ).
cnf(c_7365,negated_conjecture,
zero != zero,
inference(paramod,[status(thm)],[c_115,c_7364]) ).
cnf(c_7281,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_7365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 25 19:25:43 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 2683274 was started by sandbox on n011,
% 0.18/0.44 % Fri Sep 25 19:25:43 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.45
% 0.18/0.45 % From the command line: assign(max_seconds, 300).
% 82.18/10.88
% 82.18/10.88 % SZS status Theorem for theBenchmark
% 82.18/10.88
% 82.18/10.88 % Proof 1 at 1.86 (+ 0.50) seconds.
% 82.18/10.88 % Length of proof is 81.
% 82.18/10.88 % Level of proof is 11.
% 82.18/10.88 % Maximum clause weight is 137.000.
% 82.18/10.88 % Given clauses 305.
% 82.18/10.88
% 82.18/10.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------