%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL010-2 : 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 : 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 : Sun Sep 27 08:24:48 AM UTC 2026
% Result : Unsatisfiable 0.56s 15.91s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 15
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 151 ( 10 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity_1,axiom,
! [VAR_0,VAR_1] : join(VAR_0,VAR_1) = join(VAR_1,VAR_0),
file('theBenchmark.p',maddux1_join_commutativity_1) ).
cnf(c_1,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity_1]) ).
fof(maddux2_join_associativity_2,axiom,
! [VAR_0,VAR_1,VAR_2] : join(VAR_0,join(VAR_1,VAR_2)) = join(join(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',maddux2_join_associativity_2) ).
cnf(c_2,plain,
join(A,join(B,C)) = join(join(A,B),C),
inference(clausify,[status(thm)],[maddux2_join_associativity_2]) ).
cnf(c_3,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(copy,[status(thm)],[c_2]) ).
fof(maddux3_a_kind_of_de_Morgan_3,axiom,
! [VAR_0,VAR_1] : VAR_0 = join(complement(join(complement(VAR_0),complement(VAR_1))),complement(join(complement(VAR_0),VAR_1))),
file('theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_4,plain,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).
cnf(c_495,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(paramod,[status(thm)],[c_1,c_4]) ).
cnf(c_5,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(copy,[status(thm)],[c_495]) ).
fof(maddux4_definiton_of_meet_4,axiom,
! [VAR_0,VAR_1] : meet(VAR_0,VAR_1) = complement(join(complement(VAR_0),complement(VAR_1))),
file('theBenchmark.p',maddux4_definiton_of_meet_4) ).
cnf(c_6,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet_4]) ).
fof(composition_identity_6,axiom,
! [VAR_0] : composition(VAR_0,one) = VAR_0,
file('theBenchmark.p',composition_identity_6) ).
cnf(c_9,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity_6]) ).
fof(composition_distributivity_7,axiom,
! [VAR_0,VAR_1,VAR_2] : composition(join(VAR_0,VAR_1),VAR_2) = join(composition(VAR_0,VAR_2),composition(VAR_1,VAR_2)),
file('theBenchmark.p',composition_distributivity_7) ).
cnf(c_10,plain,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
inference(clausify,[status(thm)],[composition_distributivity_7]) ).
fof(converse_idempotence_8,axiom,
! [VAR_0] : converse(converse(VAR_0)) = VAR_0,
file('theBenchmark.p',converse_idempotence_8) ).
cnf(c_11,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence_8]) ).
fof(converse_additivity_9,axiom,
! [VAR_0,VAR_1] : converse(join(VAR_0,VAR_1)) = join(converse(VAR_0),converse(VAR_1)),
file('theBenchmark.p',converse_additivity_9) ).
cnf(c_12,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity_9]) ).
fof(converse_multiplicativity_10,axiom,
! [VAR_0,VAR_1] : converse(composition(VAR_0,VAR_1)) = composition(converse(VAR_1),converse(VAR_0)),
file('theBenchmark.p',converse_multiplicativity_10) ).
cnf(c_13,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity_10]) ).
fof(converse_cancellativity_11,axiom,
! [VAR_0,VAR_1] : join(composition(converse(VAR_0),complement(composition(VAR_0,VAR_1))),complement(VAR_1)) = complement(VAR_1),
file('theBenchmark.p',converse_cancellativity_11) ).
cnf(c_14,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
inference(clausify,[status(thm)],[converse_cancellativity_11]) ).
cnf(c_15,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_14]) ).
fof(def_top_12,axiom,
! [VAR_0] : top = join(VAR_0,complement(VAR_0)),
file('theBenchmark.p',def_top_12) ).
cnf(c_16,plain,
top = join(A,complement(A)),
inference(clausify,[status(thm)],[def_top_12]) ).
cnf(c_17,plain,
join(A,complement(A)) = top,
inference(copy,[status(thm)],[c_16]) ).
fof(def_zero_13,axiom,
! [VAR_0] : zero = meet(VAR_0,complement(VAR_0)),
file('theBenchmark.p',def_zero_13) ).
cnf(c_18,plain,
zero = meet(A,complement(A)),
inference(clausify,[status(thm)],[def_zero_13]) ).
cnf(c_496,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_19,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_496]) ).
fof(dedekind_law_14,axiom,
! [VAR_0,VAR_1,VAR_2] : join(meet(composition(VAR_0,VAR_1),VAR_2),composition(meet(VAR_0,composition(VAR_2,converse(VAR_1))),meet(VAR_1,composition(converse(VAR_0),VAR_2)))) = composition(meet(VAR_0,composition(VAR_2,converse(VAR_1))),meet(VAR_1,composition(converse(VAR_0),VAR_2))),
file('theBenchmark.p',dedekind_law_14) ).
cnf(c_20,plain,
join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(clausify,[status(thm)],[dedekind_law_14]) ).
cnf(c_497,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_20]) ).
cnf(c_498,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_497]) ).
cnf(c_499,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C)))))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_498]) ).
cnf(c_500,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C)))))) = composition(complement(join(complement(A),complement(composition(C,converse(B))))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_499]) ).
cnf(c_21,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C)))))) = composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C))))),
inference(paramod,[status(thm)],[c_6,c_500]) ).
fof(goals_17,axiom,
meet(composition(sk1,sk2),sk3) = zero,
file('theBenchmark.p',goals_17) ).
cnf(c_26,plain,
meet(composition(sk1,sk2),sk3) = zero,
inference(clausify,[status(thm)],[goals_17]) ).
cnf(c_501,plain,
complement(join(complement(composition(sk1,sk2)),complement(sk3))) = zero,
inference(paramod,[status(thm)],[c_6,c_26]) ).
cnf(c_502,plain,
complement(join(complement(sk3),complement(composition(sk1,sk2)))) = zero,
inference(paramod,[status(thm)],[c_1,c_501]) ).
cnf(c_27,plain,
complement(join(complement(sk3),complement(composition(sk1,sk2)))) = complement(top),
inference(paramod,[status(thm)],[c_19,c_502]) ).
fof(goals_18,axiom,
meet(sk2,composition(converse(sk1),sk3)) != zero,
file('theBenchmark.p',goals_18) ).
cnf(c_28,plain,
meet(sk2,composition(converse(sk1),sk3)) != zero,
inference(clausify,[status(thm)],[goals_18]) ).
cnf(c_503,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))) != zero,
inference(paramod,[status(thm)],[c_6,c_28]) ).
cnf(c_29,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))) != complement(top),
inference(paramod,[status(thm)],[c_19,c_503]) ).
cnf(c_504,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_1,c_3]) ).
cnf(c_31,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_504]) ).
cnf(c_33,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_505,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_40,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_505]) ).
cnf(c_506,plain,
top = join(A,join(B,complement(join(A,B)))),
inference(paramod,[status(thm)],[c_17,c_3]) ).
cnf(c_51,plain,
join(A,join(B,complement(join(A,B)))) = top,
inference(copy,[status(thm)],[c_506]) ).
cnf(c_52,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_507,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_17,c_12]) ).
cnf(c_55,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_507]) ).
cnf(c_508,plain,
join(complement(join(complement(composition(converse(A),B)),complement(C))),composition(complement(join(complement(converse(A)),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(A,C)))))) = composition(complement(join(complement(converse(A)),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(converse(A)),C))))),
inference(paramod,[status(thm)],[c_11,c_21]) ).
cnf(c_62,plain,
join(complement(join(complement(composition(converse(A),B)),complement(C))),composition(complement(join(complement(converse(A)),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(A,C)))))) = composition(complement(join(complement(converse(A)),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(A,C))))),
inference(paramod,[status(thm)],[c_11,c_508]) ).
cnf(c_509,plain,
join(complement(join(complement(top),A)),complement(join(complement(join(complement(sk3),complement(composition(sk1,sk2)))),complement(A)))) = join(complement(sk3),complement(composition(sk1,sk2))),
inference(paramod,[status(thm)],[c_27,c_5]) ).
cnf(c_510,plain,
join(complement(join(complement(top),A)),complement(join(complement(top),complement(A)))) = join(complement(sk3),complement(composition(sk1,sk2))),
inference(paramod,[status(thm)],[c_27,c_509]) ).
cnf(c_511,plain,
top = join(complement(sk3),complement(composition(sk1,sk2))),
inference(paramod,[status(thm)],[c_5,c_510]) ).
cnf(c_74,plain,
join(complement(sk3),complement(composition(sk1,sk2))) = top,
inference(copy,[status(thm)],[c_511]) ).
cnf(c_512,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_33]) ).
cnf(c_513,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_512]) ).
cnf(c_99,plain,
join(complement(top),complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_513]) ).
cnf(c_105,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_99,c_52]) ).
cnf(c_106,plain,
join(complement(top),complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_105,c_99]) ).
cnf(c_514,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_40]) ).
cnf(c_110,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_514]) ).
cnf(c_515,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_110,c_9]) ).
cnf(c_119,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_515]) ).
cnf(c_123,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_110,c_15]) ).
cnf(c_138,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_119,c_110]) ).
cnf(c_143,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_138,c_123]) ).
cnf(c_516,plain,
join(complement(join(complement(A),A)),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_143,c_5]) ).
cnf(c_517,plain,
join(complement(join(A,complement(A))),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_1,c_516]) ).
cnf(c_518,plain,
join(complement(top),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_17,c_517]) ).
cnf(c_147,plain,
join(complement(top),A) = A,
inference(paramod,[status(thm)],[c_105,c_518]) ).
cnf(c_150,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_147,c_106]) ).
cnf(c_519,plain,
join(complement(join(complement(A),B)),complement(join(complement(join(A,A)),complement(B)))) = join(A,A),
inference(paramod,[status(thm)],[c_150,c_5]) ).
cnf(c_520,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(A,A),
inference(paramod,[status(thm)],[c_150,c_519]) ).
cnf(c_521,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_5,c_520]) ).
cnf(c_218,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_521]) ).
cnf(c_522,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_218,c_3]) ).
cnf(c_221,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_522]) ).
cnf(c_523,plain,
join(A,converse(top)) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_55,c_31]) ).
cnf(c_245,plain,
join(converse(A),join(B,converse(complement(A)))) = join(B,converse(top)),
inference(copy,[status(thm)],[c_523]) ).
cnf(c_246,plain,
join(one,converse(complement(one))) = converse(top),
inference(paramod,[status(thm)],[c_119,c_55]) ).
cnf(c_524,plain,
join(A,top) = join(A,complement(A)),
inference(paramod,[status(thm)],[c_17,c_221]) ).
cnf(c_331,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_17,c_524]) ).
cnf(c_525,plain,
join(converse(A),converse(top)) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_55,c_221]) ).
cnf(c_332,plain,
join(converse(A),converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_55,c_525]) ).
cnf(c_526,plain,
join(one,converse(top)) = join(one,converse(complement(one))),
inference(paramod,[status(thm)],[c_246,c_221]) ).
cnf(c_333,plain,
join(one,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_246,c_526]) ).
cnf(c_527,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_331,c_1]) ).
cnf(c_338,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_527]) ).
cnf(c_528,plain,
composition(converse(top),A) = join(composition(one,A),composition(converse(top),A)),
inference(paramod,[status(thm)],[c_333,c_10]) ).
cnf(c_529,plain,
composition(converse(top),A) = join(A,composition(converse(top),A)),
inference(paramod,[status(thm)],[c_138,c_528]) ).
cnf(c_348,plain,
join(A,composition(converse(top),A)) = composition(converse(top),A),
inference(copy,[status(thm)],[c_529]) ).
cnf(c_352,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_11,c_332]) ).
cnf(c_354,plain,
join(converse(A),join(B,converse(complement(A)))) = converse(top),
inference(paramod,[status(thm)],[c_352,c_245]) ).
cnf(c_530,plain,
join(converse(A),join(converse(complement(A)),complement(converse(top)))) = top,
inference(paramod,[status(thm)],[c_55,c_51]) ).
cnf(c_531,plain,
join(converse(A),join(complement(converse(top)),converse(complement(A)))) = top,
inference(paramod,[status(thm)],[c_1,c_530]) ).
cnf(c_372,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_354,c_531]) ).
cnf(c_532,plain,
join(A,composition(top,A)) = composition(converse(top),A),
inference(paramod,[status(thm)],[c_372,c_348]) ).
cnf(c_376,plain,
join(A,composition(top,A)) = composition(top,A),
inference(paramod,[status(thm)],[c_372,c_532]) ).
cnf(c_403,plain,
composition(top,top) = top,
inference(paramod,[status(thm)],[c_376,c_338]) ).
cnf(c_533,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(paramod,[status(thm)],[c_403,c_15]) ).
cnf(c_534,plain,
join(complement(top),composition(top,complement(top))) = complement(top),
inference(paramod,[status(thm)],[c_372,c_533]) ).
cnf(c_405,plain,
composition(top,complement(top)) = complement(top),
inference(paramod,[status(thm)],[c_376,c_534]) ).
cnf(c_535,plain,
composition(join(top,A),complement(top)) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_405,c_10]) ).
cnf(c_536,plain,
composition(top,complement(top)) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_338,c_535]) ).
cnf(c_537,plain,
complement(top) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_405,c_536]) ).
cnf(c_538,plain,
complement(top) = composition(A,complement(top)),
inference(paramod,[status(thm)],[c_147,c_537]) ).
cnf(c_412,plain,
composition(A,complement(top)) = complement(top),
inference(copy,[status(thm)],[c_538]) ).
cnf(c_539,plain,
join(complement(join(complement(composition(converse(sk1),sk3)),complement(sk2))),composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(top))) = composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(join(complement(sk3),complement(composition(sk1,sk2))))),
inference(paramod,[status(thm)],[c_74,c_62]) ).
cnf(c_540,plain,
join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(top))) = composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(join(complement(sk3),complement(composition(sk1,sk2))))),
inference(paramod,[status(thm)],[c_1,c_539]) ).
cnf(c_541,plain,
join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),complement(top)) = composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(join(complement(sk3),complement(composition(sk1,sk2))))),
inference(paramod,[status(thm)],[c_412,c_540]) ).
cnf(c_542,plain,
join(complement(top),complement(join(complement(sk2),complement(composition(converse(sk1),sk3))))) = composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(join(complement(sk3),complement(composition(sk1,sk2))))),
inference(paramod,[status(thm)],[c_1,c_541]) ).
cnf(c_543,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))) = composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(join(complement(sk3),complement(composition(sk1,sk2))))),
inference(paramod,[status(thm)],[c_147,c_542]) ).
cnf(c_544,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))) = composition(complement(join(complement(converse(sk1)),complement(composition(sk2,converse(sk3))))),complement(top)),
inference(paramod,[status(thm)],[c_74,c_543]) ).
cnf(c_493,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))) = complement(top),
inference(paramod,[status(thm)],[c_412,c_544]) ).
cnf(c_494,plain,
$false,
inference(resolve,[status(thm)],[c_493,c_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL010-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.15/15.67 % CPULimit : 300
% 0.15/15.67 % WCLimit : 300
% 0.15/15.67 % DateTime : Sat Sep 26 05:29:22 UTC 2026
% 0.15/15.68 % CPUTime :
% 0.15/15.68 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/15.68 % Process 926282 was started by sandbox on n002,
% 0.15/15.68 % Sat Sep 26 05:29:22 2026
% 0.15/15.68 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/15.69
% 0.15/15.69 % From the command line: assign(max_seconds, 300).
% 0.56/15.91
% 0.56/15.91 % SZS status Unsatisfiable for theBenchmark
% 0.56/15.91
% 0.56/15.91 % Proof 1 at 0.17 (+ 0.04) seconds.
% 0.56/15.91 % Length of proof is 59.
% 0.56/15.91 % Level of proof is 19.
% 0.56/15.91 % Maximum clause weight is 89.000.
% 0.56/15.91 % Given clauses 75.
% 0.56/15.91
% 0.56/15.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------