%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL012+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 : n014.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 : Theorem 19.93s 2.98s
% Output : CNFRefutation 19.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 12
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 180 ( 7 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('theBenchmark.p',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('theBenchmark.p',maddux2_join_associativity) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('theBenchmark.p',maddux4_definiton_of_meet) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0,
file('theBenchmark.p',composition_identity) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0,
file('theBenchmark.p',converse_idempotence) ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('theBenchmark.p',converse_additivity) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('theBenchmark.p',converse_multiplicativity) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('theBenchmark.p',converse_cancellativity) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)),
file('theBenchmark.p',def_top) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('theBenchmark.p',def_zero) ).
fof(goals,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_18,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_19,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(clausify,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_20,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A,
inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_21,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(paramod,[status(thm)],[c_18,c_20]) ).
cnf(c_22,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_24,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity]) ).
cnf(c_26,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence]) ).
cnf(c_27,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity]) ).
cnf(c_28,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity]) ).
cnf(c_29,plain,
complement(A) = join(composition(converse(B),complement(composition(B,A))),complement(A)),
inference(clausify,[status(thm)],[converse_cancellativity]) ).
cnf(c_2506,plain,
complement(A) = join(complement(A),composition(converse(B),complement(composition(B,A)))),
inference(paramod,[status(thm)],[c_18,c_29]) ).
cnf(c_30,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(copy,[status(thm)],[c_2506]) ).
cnf(c_31,plain,
join(A,complement(A)) = top,
inference(clausify,[status(thm)],[def_top]) ).
cnf(c_32,plain,
meet(A,complement(A)) = zero,
inference(clausify,[status(thm)],[def_zero]) ).
cnf(c_2507,plain,
complement(join(complement(A),complement(complement(A)))) = zero,
inference(paramod,[status(thm)],[c_22,c_32]) ).
cnf(c_33,plain,
complement(top) = zero,
inference(paramod,[status(thm)],[c_31,c_2507]) ).
fof(nnf_17,plain,
? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[nnf_17]) ).
cnf(c_40,negated_conjecture,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_2508,negated_conjecture,
complement(sK0) != join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))),
inference(paramod,[status(thm)],[c_18,c_40]) ).
cnf(c_41,negated_conjecture,
join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))) != complement(sK0),
inference(copy,[status(thm)],[c_2508]) ).
cnf(c_44,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_18,c_21]) ).
cnf(c_45,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_18,c_21]) ).
cnf(c_2509,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_48,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_2509]) ).
cnf(c_2510,plain,
converse(complement(A)) = join(converse(complement(A)),converse(composition(converse(B),complement(composition(B,A))))),
inference(paramod,[status(thm)],[c_30,c_27]) ).
cnf(c_2511,plain,
converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),converse(converse(B)))),
inference(paramod,[status(thm)],[c_28,c_2510]) ).
cnf(c_2512,plain,
converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)),
inference(paramod,[status(thm)],[c_26,c_2511]) ).
cnf(c_52,plain,
join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)) = converse(complement(A)),
inference(copy,[status(thm)],[c_2512]) ).
cnf(c_2513,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_55,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_33,c_2513]) ).
cnf(c_2514,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_2515,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_33,c_2514]) ).
cnf(c_56,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_18,c_2515]) ).
cnf(c_2516,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_31,c_27]) ).
cnf(c_58,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_2516]) ).
cnf(c_2517,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_48]) ).
cnf(c_74,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_26,c_2517]) ).
cnf(c_2518,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_74,c_24]) ).
cnf(c_76,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_2518]) ).
cnf(c_80,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_74,c_30]) ).
cnf(c_81,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_76,c_74]) ).
cnf(c_82,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_81,c_80]) ).
cnf(c_83,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_82,c_56]) ).
cnf(c_2519,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_31,c_45]) ).
cnf(c_2520,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_18,c_2519]) ).
cnf(c_2521,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_33,c_2520]) ).
cnf(c_86,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_18,c_2521]) ).
cnf(c_87,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_86,c_55]) ).
cnf(c_88,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_87,c_86]) ).
cnf(c_89,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_87,c_83]) ).
cnf(c_90,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_89,c_88]) ).
cnf(c_2522,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_87,c_21]) ).
cnf(c_105,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_87,c_2522]) ).
cnf(c_2523,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_87,c_44]) ).
cnf(c_107,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_87,c_2523]) ).
cnf(c_2524,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_90,c_31]) ).
cnf(c_2525,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_19,c_2524]) ).
cnf(c_112,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_31,c_2525]) ).
cnf(c_2526,plain,
complement(complement(A)) = join(A,A),
inference(paramod,[status(thm)],[c_90,c_87]) ).
cnf(c_2527,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_87,c_2526]) ).
cnf(c_113,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_2527]) ).
cnf(c_2528,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_112,c_18]) ).
cnf(c_127,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_2528]) ).
cnf(c_2529,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_112,c_27]) ).
cnf(c_129,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_2529]) ).
cnf(c_2530,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_113,c_19]) ).
cnf(c_131,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_2530]) ).
cnf(c_153,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_26,c_129]) ).
cnf(c_156,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_153,c_127]) ).
cnf(c_158,plain,
join(converse(A),converse(complement(A))) = top,
inference(paramod,[status(thm)],[c_156,c_58]) ).
cnf(c_179,plain,
join(A,converse(complement(converse(A)))) = top,
inference(paramod,[status(thm)],[c_26,c_158]) ).
cnf(c_2531,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_105,c_131]) ).
cnf(c_2532,plain,
join(complement(A),complement(join(A,B))) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_18,c_2531]) ).
cnf(c_235,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_105,c_2532]) ).
cnf(c_2533,plain,
join(complement(complement(A)),complement(join(complement(join(B,A)),complement(complement(join(A,complement(B))))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_107,c_105]) ).
cnf(c_2534,plain,
join(A,complement(join(complement(join(B,A)),complement(complement(join(A,complement(B))))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_87,c_2533]) ).
cnf(c_2535,plain,
join(A,complement(join(complement(join(B,A)),join(A,complement(B))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_87,c_2534]) ).
cnf(c_2536,plain,
join(A,complement(join(join(A,complement(B)),complement(join(B,A))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_18,c_2535]) ).
cnf(c_2537,plain,
join(A,complement(join(A,join(complement(B),complement(join(B,A)))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_19,c_2536]) ).
cnf(c_2538,plain,
join(A,complement(join(A,complement(B)))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_235,c_2537]) ).
cnf(c_254,plain,
join(A,complement(join(A,complement(B)))) = join(B,A),
inference(paramod,[status(thm)],[c_87,c_2538]) ).
cnf(c_2539,plain,
join(complement(complement(A)),complement(join(complement(join(A,complement(B))),complement(complement(join(B,A)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_107,c_107]) ).
cnf(c_2540,plain,
join(A,complement(join(complement(join(A,complement(B))),complement(complement(join(B,A)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_87,c_2539]) ).
cnf(c_2541,plain,
join(A,complement(join(complement(join(A,complement(B))),join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_87,c_2540]) ).
cnf(c_2542,plain,
join(A,complement(join(join(B,A),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_18,c_2541]) ).
cnf(c_2543,plain,
join(A,complement(join(B,join(A,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_19,c_2542]) ).
cnf(c_2544,plain,
join(A,complement(join(B,join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_254,c_2543]) ).
cnf(c_2545,plain,
join(A,complement(join(B,A))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_131,c_2544]) ).
cnf(c_256,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_87,c_2545]) ).
cnf(c_2546,plain,
join(converse(complement(A)),complement(top)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_158,c_256]) ).
cnf(c_2547,plain,
join(converse(complement(A)),zero) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_33,c_2546]) ).
cnf(c_2548,plain,
join(zero,converse(complement(A))) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_18,c_2547]) ).
cnf(c_2549,plain,
converse(complement(A)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_89,c_2548]) ).
cnf(c_2550,plain,
converse(complement(A)) = join(complement(converse(A)),converse(complement(A))),
inference(paramod,[status(thm)],[c_18,c_2549]) ).
cnf(c_387,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(copy,[status(thm)],[c_2550]) ).
cnf(c_2551,plain,
join(converse(complement(converse(A))),complement(top)) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_179,c_256]) ).
cnf(c_2552,plain,
join(converse(complement(converse(A))),zero) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_33,c_2551]) ).
cnf(c_2553,plain,
join(zero,converse(complement(converse(A)))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_18,c_2552]) ).
cnf(c_2554,plain,
converse(complement(converse(A))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_89,c_2553]) ).
cnf(c_2555,plain,
converse(complement(converse(A))) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_18,c_2554]) ).
cnf(c_391,plain,
join(complement(A),converse(complement(converse(A)))) = converse(complement(converse(A))),
inference(copy,[status(thm)],[c_2555]) ).
cnf(c_2556,plain,
converse(converse(complement(A))) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_387,c_27]) ).
cnf(c_2557,plain,
complement(A) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_26,c_2556]) ).
cnf(c_2558,plain,
complement(A) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_26,c_2557]) ).
cnf(c_2559,plain,
complement(A) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_18,c_2558]) ).
cnf(c_2560,plain,
complement(A) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_391,c_2559]) ).
cnf(c_437,plain,
converse(complement(converse(A))) = complement(A),
inference(copy,[status(thm)],[c_2560]) ).
cnf(c_457,plain,
converse(complement(A)) = complement(converse(A)),
inference(paramod,[status(thm)],[c_437,c_26]) ).
cnf(c_2561,plain,
join(complement(A),composition(converse(complement(composition(B,converse(A)))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_437,c_52]) ).
cnf(c_2562,plain,
join(complement(A),composition(complement(converse(composition(B,converse(A)))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_457,c_2561]) ).
cnf(c_2563,plain,
join(complement(A),composition(complement(composition(converse(converse(A)),converse(B))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_28,c_2562]) ).
cnf(c_2564,plain,
join(complement(A),composition(complement(composition(A,converse(B))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_26,c_2563]) ).
cnf(c_2565,plain,
join(complement(A),composition(complement(composition(A,converse(B))),B)) = complement(converse(converse(A))),
inference(paramod,[status(thm)],[c_457,c_2564]) ).
cnf(c_461,plain,
join(complement(A),composition(complement(composition(A,converse(B))),B)) = complement(A),
inference(paramod,[status(thm)],[c_26,c_2565]) ).
cnf(c_2504,plain,
join(complement(A),composition(complement(composition(A,B)),converse(B))) = complement(A),
inference(paramod,[status(thm)],[c_26,c_461]) ).
cnf(c_2505,plain,
$false,
inference(resolve,[status(thm)],[c_2504,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL012+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 05:27:47 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2248546 was started by sandbox on n014,
% 0.09/0.36 % Sat Sep 26 05:27:47 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 19.93/2.98
% 19.93/2.98 % SZS status Theorem for theBenchmark
% 19.93/2.98
% 19.93/2.98 % Proof 1 at 1.86 (+ 0.59) seconds.
% 19.93/2.98 % Length of proof is 67.
% 19.93/2.98 % Level of proof is 21.
% 19.93/2.98 % Maximum clause weight is 30.000.
% 19.93/2.98 % Given clauses 459.
% 19.93/2.98
% 19.93/2.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------