%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KLE071+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 07:44:15 AM UTC 2026
% Result : Theorem 20.35s 3.03s
% Output : CNFRefutation 20.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of formulae : 127 ( 127 unt; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 249 ( 35 sgn 29 !; 3 ?)
% 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_idempotence,axiom,
! [A] : addition(A,A) = A,
file('theBenchmark.p',additive_idempotence) ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('theBenchmark.p',multiplicative_associativity) ).
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(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('theBenchmark.p',domain1) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('theBenchmark.p',domain2) ).
fof(domain3,axiom,
! [X0] : addition(domain(X0),one) = one,
file('theBenchmark.p',domain3) ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('theBenchmark.p',domain5) ).
fof(goals,conjecture,
! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1,X2] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))),
inference(assume_negation,[status(cth)],[goals]) ).
fof(nnf_17,plain,
? [X0,X1,X2] : multiplication(addition(domain(X0),domain(X1)),addition(domain(X0),domain(X2))) != addition(domain(X0),multiplication(domain(X1),domain(X2))),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[nnf_17]) ).
cnf(c_20,negated_conjecture,
multiplication(addition(domain(sK0),domain(sK1)),addition(domain(sK0),domain(sK2))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_21,plain,
domain(addition(A,B)) = addition(domain(A),domain(B)),
inference(clausify,[status(thm)],[domain5]) ).
cnf(c_23,plain,
addition(domain(A),one) = one,
inference(clausify,[status(thm)],[domain3]) ).
cnf(c_24,plain,
domain(multiplication(A,domain(B))) = domain(multiplication(A,B)),
inference(clausify,[status(thm)],[domain2]) ).
cnf(c_25,plain,
multiplication(domain(A),A) = addition(A,multiplication(domain(A),A)),
inference(clausify,[status(thm)],[domain1]) ).
cnf(c_26,plain,
addition(A,multiplication(domain(A),A)) = multiplication(domain(A),A),
inference(copy,[status(thm)],[c_25]) ).
cnf(c_29,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(clausify,[status(thm)],[left_distributivity]) ).
cnf(c_30,plain,
addition(multiplication(A,B),multiplication(C,B)) = multiplication(addition(A,C),B),
inference(copy,[status(thm)],[c_29]) ).
cnf(c_31,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(clausify,[status(thm)],[right_distributivity]) ).
cnf(c_32,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(copy,[status(thm)],[c_31]) ).
cnf(c_33,plain,
multiplication(one,A) = A,
inference(clausify,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_34,plain,
multiplication(A,one) = A,
inference(clausify,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_35,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(clausify,[status(thm)],[multiplicative_associativity]) ).
cnf(c_36,plain,
addition(A,A) = A,
inference(clausify,[status(thm)],[additive_idempotence]) ).
cnf(c_38,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(clausify,[status(thm)],[additive_associativity]) ).
cnf(c_39,plain,
addition(A,B) = addition(B,A),
inference(clausify,[status(thm)],[additive_commutativity]) ).
cnf(c_43,plain,
domain(multiplication(A,addition(domain(B),domain(C)))) = domain(multiplication(A,addition(B,C))),
inference(paramod,[status(thm)],[c_21,c_24]) ).
cnf(c_6158,plain,
domain(multiplication(addition(A,B),C)) = addition(domain(multiplication(A,C)),domain(multiplication(B,C))),
inference(paramod,[status(thm)],[c_30,c_21]) ).
cnf(c_49,plain,
addition(domain(multiplication(A,B)),domain(multiplication(C,B))) = domain(multiplication(addition(A,C),B)),
inference(copy,[status(thm)],[c_6158]) ).
cnf(c_6159,plain,
addition(multiplication(domain(A),B),multiplication(one,B)) = multiplication(one,B),
inference(paramod,[status(thm)],[c_23,c_30]) ).
cnf(c_6160,plain,
addition(multiplication(domain(A),B),B) = multiplication(one,B),
inference(paramod,[status(thm)],[c_33,c_6159]) ).
cnf(c_6161,plain,
addition(B,multiplication(domain(A),B)) = multiplication(one,B),
inference(paramod,[status(thm)],[c_39,c_6160]) ).
cnf(c_50,plain,
addition(A,multiplication(domain(B),A)) = A,
inference(paramod,[status(thm)],[c_33,c_6161]) ).
cnf(c_6162,plain,
A = multiplication(domain(A),A),
inference(paramod,[status(thm)],[c_50,c_26]) ).
cnf(c_55,plain,
multiplication(domain(A),A) = A,
inference(copy,[status(thm)],[c_6162]) ).
cnf(c_6163,plain,
addition(multiplication(A,domain(B)),multiplication(A,one)) = multiplication(A,one),
inference(paramod,[status(thm)],[c_23,c_32]) ).
cnf(c_6164,plain,
addition(multiplication(A,domain(B)),A) = multiplication(A,one),
inference(paramod,[status(thm)],[c_34,c_6163]) ).
cnf(c_6165,plain,
addition(A,multiplication(A,domain(B))) = multiplication(A,one),
inference(paramod,[status(thm)],[c_39,c_6164]) ).
cnf(c_58,plain,
addition(A,multiplication(A,domain(B))) = A,
inference(paramod,[status(thm)],[c_34,c_6165]) ).
cnf(c_6166,plain,
domain(domain(A)) = domain(multiplication(one,A)),
inference(paramod,[status(thm)],[c_33,c_24]) ).
cnf(c_60,plain,
domain(domain(A)) = domain(A),
inference(paramod,[status(thm)],[c_33,c_6166]) ).
cnf(c_6167,plain,
addition(A,multiplication(A,B)) = multiplication(A,addition(one,B)),
inference(paramod,[status(thm)],[c_34,c_32]) ).
cnf(c_64,plain,
multiplication(A,addition(one,B)) = addition(A,multiplication(A,B)),
inference(copy,[status(thm)],[c_6167]) ).
cnf(c_6168,plain,
addition(multiplication(A,B),A) = multiplication(A,addition(B,one)),
inference(paramod,[status(thm)],[c_34,c_32]) ).
cnf(c_6169,plain,
addition(A,multiplication(A,B)) = multiplication(A,addition(B,one)),
inference(paramod,[status(thm)],[c_39,c_6168]) ).
cnf(c_65,plain,
multiplication(A,addition(B,one)) = addition(A,multiplication(A,B)),
inference(copy,[status(thm)],[c_6169]) ).
cnf(c_6170,plain,
addition(one,A) = addition(domain(B),addition(one,A)),
inference(paramod,[status(thm)],[c_23,c_38]) ).
cnf(c_68,plain,
addition(domain(A),addition(one,B)) = addition(one,B),
inference(copy,[status(thm)],[c_6170]) ).
cnf(c_6171,plain,
addition(A,B) = addition(A,addition(A,B)),
inference(paramod,[status(thm)],[c_36,c_38]) ).
cnf(c_73,plain,
addition(A,addition(A,B)) = addition(A,B),
inference(copy,[status(thm)],[c_6171]) ).
cnf(c_77,plain,
addition(one,domain(A)) = one,
inference(paramod,[status(thm)],[c_39,c_23]) ).
cnf(c_87,plain,
addition(A,multiplication(B,A)) = multiplication(addition(domain(A),B),A),
inference(paramod,[status(thm)],[c_55,c_30]) ).
cnf(c_88,plain,
addition(A,multiplication(domain(A),B)) = multiplication(domain(A),addition(A,B)),
inference(paramod,[status(thm)],[c_55,c_32]) ).
cnf(c_6172,plain,
one = domain(one),
inference(paramod,[status(thm)],[c_55,c_34]) ).
cnf(c_89,plain,
domain(one) = one,
inference(copy,[status(thm)],[c_6172]) ).
cnf(c_93,plain,
multiplication(addition(domain(A),domain(B)),A) = A,
inference(paramod,[status(thm)],[c_87,c_50]) ).
cnf(c_6173,plain,
domain(multiplication(A,addition(one,domain(B)))) = domain(multiplication(A,addition(one,B))),
inference(paramod,[status(thm)],[c_89,c_43]) ).
cnf(c_6174,plain,
domain(multiplication(A,one)) = domain(multiplication(A,addition(one,B))),
inference(paramod,[status(thm)],[c_77,c_6173]) ).
cnf(c_6175,plain,
domain(A) = domain(multiplication(A,addition(one,B))),
inference(paramod,[status(thm)],[c_34,c_6174]) ).
cnf(c_94,plain,
domain(multiplication(A,addition(one,B))) = domain(A),
inference(copy,[status(thm)],[c_6175]) ).
cnf(c_6176,plain,
addition(one,A) = addition(one,addition(domain(B),A)),
inference(paramod,[status(thm)],[c_77,c_38]) ).
cnf(c_96,plain,
addition(one,addition(domain(A),B)) = addition(one,B),
inference(copy,[status(thm)],[c_6176]) ).
cnf(c_99,plain,
multiplication(domain(A),domain(A)) = domain(A),
inference(paramod,[status(thm)],[c_60,c_55]) ).
cnf(c_102,plain,
addition(domain(A),multiplication(domain(A),B)) = multiplication(domain(A),addition(domain(A),B)),
inference(paramod,[status(thm)],[c_99,c_32]) ).
cnf(c_6177,plain,
domain(multiplication(A,addition(one,B))) = addition(domain(A),domain(multiplication(A,B))),
inference(paramod,[status(thm)],[c_64,c_21]) ).
cnf(c_6178,plain,
domain(A) = addition(domain(A),domain(multiplication(A,B))),
inference(paramod,[status(thm)],[c_94,c_6177]) ).
cnf(c_107,plain,
addition(domain(A),domain(multiplication(A,B))) = domain(A),
inference(copy,[status(thm)],[c_6178]) ).
cnf(c_115,plain,
addition(multiplication(A,addition(one,B)),C) = addition(A,addition(multiplication(A,B),C)),
inference(paramod,[status(thm)],[c_64,c_38]) ).
cnf(c_6179,plain,
multiplication(domain(A),addition(one,A)) = addition(domain(A),A),
inference(paramod,[status(thm)],[c_55,c_64]) ).
cnf(c_118,plain,
multiplication(domain(A),addition(one,A)) = addition(A,domain(A)),
inference(paramod,[status(thm)],[c_39,c_6179]) ).
cnf(c_147,plain,
addition(A,multiplication(A,addition(B,one))) = addition(A,multiplication(A,B)),
inference(paramod,[status(thm)],[c_65,c_73]) ).
cnf(c_6180,plain,
addition(domain(multiplication(domain(A),B)),domain(multiplication(one,B))) = domain(multiplication(one,B)),
inference(paramod,[status(thm)],[c_23,c_49]) ).
cnf(c_6181,plain,
addition(domain(multiplication(domain(A),B)),domain(B)) = domain(multiplication(one,B)),
inference(paramod,[status(thm)],[c_33,c_6180]) ).
cnf(c_6182,plain,
addition(domain(B),domain(multiplication(domain(A),B))) = domain(multiplication(one,B)),
inference(paramod,[status(thm)],[c_39,c_6181]) ).
cnf(c_148,plain,
addition(domain(A),domain(multiplication(domain(B),A))) = domain(A),
inference(paramod,[status(thm)],[c_33,c_6182]) ).
cnf(c_167,plain,
multiplication(addition(domain(A),domain(B)),B) = B,
inference(paramod,[status(thm)],[c_39,c_93]) ).
cnf(c_187,plain,
multiplication(addition(domain(A),domain(B)),domain(B)) = domain(B),
inference(paramod,[status(thm)],[c_60,c_167]) ).
cnf(c_205,plain,
addition(domain(A),addition(B,one)) = addition(one,B),
inference(paramod,[status(thm)],[c_39,c_68]) ).
cnf(c_228,plain,
multiplication(domain(A),domain(multiplication(A,B))) = domain(multiplication(A,B)),
inference(paramod,[status(thm)],[c_107,c_187]) ).
cnf(c_356,plain,
multiplication(domain(A),domain(multiplication(domain(A),B))) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_60,c_228]) ).
cnf(c_6183,plain,
addition(domain(A),multiplication(domain(domain(A)),addition(B,one))) = multiplication(domain(domain(A)),addition(one,B)),
inference(paramod,[status(thm)],[c_205,c_88]) ).
cnf(c_6184,plain,
addition(domain(A),multiplication(domain(A),addition(B,one))) = multiplication(domain(domain(A)),addition(one,B)),
inference(paramod,[status(thm)],[c_60,c_6183]) ).
cnf(c_6185,plain,
addition(domain(A),multiplication(domain(A),B)) = multiplication(domain(domain(A)),addition(one,B)),
inference(paramod,[status(thm)],[c_147,c_6184]) ).
cnf(c_6186,plain,
multiplication(domain(A),addition(domain(A),B)) = multiplication(domain(domain(A)),addition(one,B)),
inference(paramod,[status(thm)],[c_102,c_6185]) ).
cnf(c_609,plain,
multiplication(domain(A),addition(domain(A),B)) = multiplication(domain(A),addition(one,B)),
inference(paramod,[status(thm)],[c_60,c_6186]) ).
cnf(c_6187,plain,
multiplication(domain(A),addition(domain(A),domain(B))) = multiplication(domain(A),one),
inference(paramod,[status(thm)],[c_77,c_609]) ).
cnf(c_939,plain,
multiplication(domain(A),addition(domain(A),domain(B))) = domain(A),
inference(paramod,[status(thm)],[c_34,c_6187]) ).
cnf(c_967,plain,
addition(domain(A),multiplication(B,addition(domain(A),domain(C)))) = multiplication(addition(domain(A),B),addition(domain(A),domain(C))),
inference(paramod,[status(thm)],[c_939,c_30]) ).
cnf(c_971,plain,
multiplication(domain(A),addition(domain(B),domain(A))) = domain(A),
inference(paramod,[status(thm)],[c_39,c_939]) ).
cnf(c_984,plain,
multiplication(domain(multiplication(A,B)),domain(A)) = domain(multiplication(A,B)),
inference(paramod,[status(thm)],[c_107,c_971]) ).
cnf(c_1003,plain,
multiplication(domain(multiplication(domain(A),B)),domain(A)) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_60,c_984]) ).
cnf(c_6188,plain,
addition(one,domain(A)) = addition(one,multiplication(domain(A),domain(B))),
inference(paramod,[status(thm)],[c_58,c_96]) ).
cnf(c_6189,plain,
one = addition(one,multiplication(domain(A),domain(B))),
inference(paramod,[status(thm)],[c_77,c_6188]) ).
cnf(c_1350,plain,
addition(one,multiplication(domain(A),domain(B))) = one,
inference(copy,[status(thm)],[c_6189]) ).
cnf(c_6190,plain,
multiplication(domain(multiplication(domain(A),domain(B))),one) = addition(multiplication(domain(A),domain(B)),domain(multiplication(domain(A),domain(B)))),
inference(paramod,[status(thm)],[c_1350,c_118]) ).
cnf(c_6191,plain,
multiplication(domain(multiplication(domain(A),B)),one) = addition(multiplication(domain(A),domain(B)),domain(multiplication(domain(A),domain(B)))),
inference(paramod,[status(thm)],[c_24,c_6190]) ).
cnf(c_6192,plain,
domain(multiplication(domain(A),B)) = addition(multiplication(domain(A),domain(B)),domain(multiplication(domain(A),domain(B)))),
inference(paramod,[status(thm)],[c_34,c_6191]) ).
cnf(c_6193,plain,
domain(multiplication(domain(A),B)) = addition(multiplication(domain(A),domain(B)),domain(multiplication(domain(A),B))),
inference(paramod,[status(thm)],[c_24,c_6192]) ).
cnf(c_1368,plain,
addition(multiplication(domain(A),domain(B)),domain(multiplication(domain(A),B))) = domain(multiplication(domain(A),B)),
inference(copy,[status(thm)],[c_6193]) ).
cnf(c_1914,plain,
multiplication(domain(A),multiplication(domain(B),A)) = multiplication(domain(B),A),
inference(paramod,[status(thm)],[c_148,c_167]) ).
cnf(c_2825,plain,
multiplication(domain(A),multiplication(domain(B),domain(A))) = multiplication(domain(B),domain(A)),
inference(paramod,[status(thm)],[c_60,c_1914]) ).
cnf(c_5390,plain,
addition(multiplication(domain(A),B),domain(multiplication(domain(A),C))) = multiplication(domain(A),addition(B,domain(multiplication(domain(A),C)))),
inference(paramod,[status(thm)],[c_356,c_32]) ).
cnf(c_6194,plain,
multiplication(domain(A),addition(domain(B),domain(multiplication(domain(A),B)))) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_5390,c_1368]) ).
cnf(c_6195,plain,
multiplication(domain(A),domain(B)) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_148,c_6194]) ).
cnf(c_5403,plain,
domain(multiplication(domain(A),B)) = multiplication(domain(A),domain(B)),
inference(copy,[status(thm)],[c_6195]) ).
cnf(c_6196,plain,
multiplication(multiplication(domain(A),domain(B)),domain(A)) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_5403,c_1003]) ).
cnf(c_6197,plain,
multiplication(domain(A),multiplication(domain(B),domain(A))) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_35,c_6196]) ).
cnf(c_6198,plain,
multiplication(domain(B),domain(A)) = domain(multiplication(domain(A),B)),
inference(paramod,[status(thm)],[c_2825,c_6197]) ).
cnf(c_5456,plain,
multiplication(domain(A),domain(B)) = multiplication(domain(B),domain(A)),
inference(paramod,[status(thm)],[c_5403,c_6198]) ).
cnf(c_6199,plain,
multiplication(addition(domain(A),domain(B)),domain(C)) = multiplication(domain(C),domain(addition(A,B))),
inference(paramod,[status(thm)],[c_21,c_5456]) ).
cnf(c_6200,plain,
multiplication(addition(domain(A),domain(B)),domain(C)) = multiplication(domain(C),addition(domain(A),domain(B))),
inference(paramod,[status(thm)],[c_21,c_6199]) ).
cnf(c_5467,plain,
multiplication(domain(A),addition(domain(B),domain(C))) = multiplication(addition(domain(B),domain(C)),domain(A)),
inference(copy,[status(thm)],[c_6200]) ).
cnf(c_5732,plain,
addition(multiplication(A,addition(one,B)),multiplication(C,B)) = addition(A,multiplication(addition(A,C),B)),
inference(paramod,[status(thm)],[c_30,c_115]) ).
cnf(c_6201,plain,
addition(multiplication(domain(A),addition(one,domain(B))),multiplication(domain(C),domain(B))) = addition(domain(A),multiplication(domain(B),addition(domain(A),domain(C)))),
inference(paramod,[status(thm)],[c_5467,c_5732]) ).
cnf(c_6202,plain,
addition(multiplication(domain(A),one),multiplication(domain(C),domain(B))) = addition(domain(A),multiplication(domain(B),addition(domain(A),domain(C)))),
inference(paramod,[status(thm)],[c_77,c_6201]) ).
cnf(c_6203,plain,
addition(domain(A),multiplication(domain(C),domain(B))) = addition(domain(A),multiplication(domain(B),addition(domain(A),domain(C)))),
inference(paramod,[status(thm)],[c_34,c_6202]) ).
cnf(c_6204,plain,
addition(domain(A),multiplication(domain(C),domain(B))) = multiplication(addition(domain(A),domain(B)),addition(domain(A),domain(C))),
inference(paramod,[status(thm)],[c_967,c_6203]) ).
cnf(c_6146,plain,
multiplication(addition(domain(A),domain(B)),addition(domain(A),domain(C))) = addition(domain(A),multiplication(domain(C),domain(B))),
inference(copy,[status(thm)],[c_6204]) ).
cnf(c_6205,negated_conjecture,
addition(domain(sK0),multiplication(domain(sK2),domain(sK1))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
inference(paramod,[status(thm)],[c_6146,c_20]) ).
cnf(c_6206,negated_conjecture,
addition(domain(sK0),multiplication(domain(sK1),domain(sK2))) != addition(domain(sK0),multiplication(domain(sK1),domain(sK2))),
inference(paramod,[status(thm)],[c_5456,c_6205]) ).
cnf(c_6157,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_6206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE071+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n002.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 19:22:19 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 3923708 was started by sandbox2 on n002,
% 0.17/0.43 % Fri Sep 25 19:22:19 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 20.35/3.03
% 20.35/3.03 % Assigning unary symbol domain kb_weight 0 and highest precedence (9).
% 20.35/3.03
% 20.35/3.03 % SZS status Theorem for theBenchmark
% 20.35/3.03
% 20.35/3.03 % Proof 1 at 1.95 (+ 0.61) seconds.
% 20.35/3.03 % Length of proof is 75.
% 20.35/3.03 % Level of proof is 16.
% 20.35/3.03 % Maximum clause weight is 51.000.
% 20.35/3.03 % Given clauses 216.
% 20.35/3.03
% 20.35/3.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------