%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP177-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 07:28:14 AM UTC 2026
% Result : Unsatisfiable 89.67s 12.23s
% Output : CNFRefutation 89.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 16
% Syntax : Number of formulae : 171 ( 171 unt; 0 def)
% Number of atoms : 171 ( 170 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 69 ( 69 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 207 ( 21 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_identity,axiom,
! [VAR_0] : multiply(identity,VAR_0) = VAR_0,
file('theBenchmark.p',left_identity) ).
cnf(c_1,plain,
multiply(identity,A) = A,
inference(clausify,[status(thm)],[left_identity]) ).
fof(left_inverse,axiom,
! [VAR_0] : multiply(inverse(VAR_0),VAR_0) = identity,
file('theBenchmark.p',left_inverse) ).
cnf(c_2,plain,
multiply(inverse(A),A) = identity,
inference(clausify,[status(thm)],[left_inverse]) ).
fof(associativity,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(multiply(VAR_0,VAR_1),VAR_2) = multiply(VAR_0,multiply(VAR_1,VAR_2)),
file('theBenchmark.p',associativity) ).
cnf(c_3,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(clausify,[status(thm)],[associativity]) ).
fof(symmetry_of_glb,axiom,
! [VAR_0,VAR_1] : greatest_lower_bound(VAR_0,VAR_1) = greatest_lower_bound(VAR_1,VAR_0),
file('theBenchmark.p',symmetry_of_glb) ).
cnf(c_4,plain,
greatest_lower_bound(A,B) = greatest_lower_bound(B,A),
inference(clausify,[status(thm)],[symmetry_of_glb]) ).
fof(symmetry_of_lub,axiom,
! [VAR_0,VAR_1] : least_upper_bound(VAR_0,VAR_1) = least_upper_bound(VAR_1,VAR_0),
file('theBenchmark.p',symmetry_of_lub) ).
cnf(c_5,plain,
least_upper_bound(A,B) = least_upper_bound(B,A),
inference(clausify,[status(thm)],[symmetry_of_lub]) ).
fof(associativity_of_glb,axiom,
! [VAR_0,VAR_1,VAR_2] : greatest_lower_bound(VAR_0,greatest_lower_bound(VAR_1,VAR_2)) = greatest_lower_bound(greatest_lower_bound(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',associativity_of_glb) ).
cnf(c_6,plain,
greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(greatest_lower_bound(A,B),C),
inference(clausify,[status(thm)],[associativity_of_glb]) ).
cnf(c_7,plain,
greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)),
inference(copy,[status(thm)],[c_6]) ).
fof(associativity_of_lub,axiom,
! [VAR_0,VAR_1,VAR_2] : least_upper_bound(VAR_0,least_upper_bound(VAR_1,VAR_2)) = least_upper_bound(least_upper_bound(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',associativity_of_lub) ).
cnf(c_8,plain,
least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C),
inference(clausify,[status(thm)],[associativity_of_lub]) ).
cnf(c_9,plain,
least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)),
inference(copy,[status(thm)],[c_8]) ).
fof(lub_absorbtion,axiom,
! [VAR_0,VAR_1] : least_upper_bound(VAR_0,greatest_lower_bound(VAR_0,VAR_1)) = VAR_0,
file('theBenchmark.p',lub_absorbtion) ).
cnf(c_12,plain,
least_upper_bound(A,greatest_lower_bound(A,B)) = A,
inference(clausify,[status(thm)],[lub_absorbtion]) ).
fof(glb_absorbtion,axiom,
! [VAR_0,VAR_1] : greatest_lower_bound(VAR_0,least_upper_bound(VAR_0,VAR_1)) = VAR_0,
file('theBenchmark.p',glb_absorbtion) ).
cnf(c_13,plain,
greatest_lower_bound(A,least_upper_bound(A,B)) = A,
inference(clausify,[status(thm)],[glb_absorbtion]) ).
fof(monotony_glb1,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(VAR_0,greatest_lower_bound(VAR_1,VAR_2)) = greatest_lower_bound(multiply(VAR_0,VAR_1),multiply(VAR_0,VAR_2)),
file('theBenchmark.p',monotony_glb1) ).
cnf(c_16,plain,
multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)),
inference(clausify,[status(thm)],[monotony_glb1]) ).
cnf(c_17,plain,
greatest_lower_bound(multiply(A,B),multiply(A,C)) = multiply(A,greatest_lower_bound(B,C)),
inference(copy,[status(thm)],[c_16]) ).
fof(monotony_lub2,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(least_upper_bound(VAR_0,VAR_1),VAR_2) = least_upper_bound(multiply(VAR_0,VAR_2),multiply(VAR_1,VAR_2)),
file('theBenchmark.p',monotony_lub2) ).
cnf(c_18,plain,
multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)),
inference(clausify,[status(thm)],[monotony_lub2]) ).
cnf(c_19,plain,
least_upper_bound(multiply(A,B),multiply(C,B)) = multiply(least_upper_bound(A,C),B),
inference(copy,[status(thm)],[c_18]) ).
fof(monotony_glb2,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(greatest_lower_bound(VAR_0,VAR_1),VAR_2) = greatest_lower_bound(multiply(VAR_0,VAR_2),multiply(VAR_1,VAR_2)),
file('theBenchmark.p',monotony_glb2) ).
cnf(c_20,plain,
multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)),
inference(clausify,[status(thm)],[monotony_glb2]) ).
cnf(c_21,plain,
greatest_lower_bound(multiply(A,B),multiply(C,B)) = multiply(greatest_lower_bound(A,C),B),
inference(copy,[status(thm)],[c_20]) ).
fof(p08b_1,axiom,
greatest_lower_bound(identity,a) = identity,
file('theBenchmark.p',p08b_1) ).
cnf(c_22,plain,
greatest_lower_bound(identity,a) = identity,
inference(clausify,[status(thm)],[p08b_1]) ).
fof(p08b_2,axiom,
greatest_lower_bound(identity,b) = identity,
file('theBenchmark.p',p08b_2) ).
cnf(c_23,plain,
greatest_lower_bound(identity,b) = identity,
inference(clausify,[status(thm)],[p08b_2]) ).
fof(p08b_3,axiom,
greatest_lower_bound(identity,c) = identity,
file('theBenchmark.p',p08b_3) ).
cnf(c_24,plain,
greatest_lower_bound(identity,c) = identity,
inference(clausify,[status(thm)],[p08b_3]) ).
fof(prove_p08b,axiom,
greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))) != greatest_lower_bound(a,multiply(b,c)),
file('theBenchmark.p',prove_p08b) ).
cnf(c_25,plain,
greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))) != greatest_lower_bound(a,multiply(b,c)),
inference(clausify,[status(thm)],[prove_p08b]) ).
cnf(c_26,plain,
greatest_lower_bound(multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)),greatest_lower_bound(a,multiply(b,c))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_4,c_25]) ).
cnf(c_29706,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_29707,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_29706]) ).
cnf(c_27,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_29707]) ).
cnf(c_28,plain,
greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(C,greatest_lower_bound(A,B)),
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_29708,plain,
greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(B,greatest_lower_bound(A,C)),
inference(paramod,[status(thm)],[c_4,c_7]) ).
cnf(c_29,plain,
greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(B,greatest_lower_bound(A,C)),
inference(paramod,[status(thm)],[c_7,c_29708]) ).
cnf(c_29709,plain,
greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)),a)) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_28,c_26]) ).
cnf(c_29710,plain,
greatest_lower_bound(multiply(b,c),greatest_lower_bound(a,multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_4,c_29709]) ).
cnf(c_30,plain,
greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_29,c_29710]) ).
cnf(c_39,plain,
least_upper_bound(A,greatest_lower_bound(B,A)) = A,
inference(paramod,[status(thm)],[c_4,c_12]) ).
cnf(c_40,plain,
least_upper_bound(greatest_lower_bound(A,B),greatest_lower_bound(A,greatest_lower_bound(B,C))) = greatest_lower_bound(A,B),
inference(paramod,[status(thm)],[c_7,c_12]) ).
cnf(c_50,plain,
greatest_lower_bound(identity,multiply(inverse(A),B)) = multiply(inverse(A),greatest_lower_bound(A,B)),
inference(paramod,[status(thm)],[c_2,c_17]) ).
cnf(c_53,plain,
least_upper_bound(A,multiply(B,A)) = multiply(least_upper_bound(identity,B),A),
inference(paramod,[status(thm)],[c_1,c_19]) ).
cnf(c_29711,plain,
least_upper_bound(multiply(A,B),identity) = multiply(least_upper_bound(A,inverse(B)),B),
inference(paramod,[status(thm)],[c_2,c_19]) ).
cnf(c_56,plain,
least_upper_bound(identity,multiply(A,B)) = multiply(least_upper_bound(A,inverse(B)),B),
inference(paramod,[status(thm)],[c_5,c_29711]) ).
cnf(c_60,plain,
greatest_lower_bound(A,multiply(B,A)) = multiply(greatest_lower_bound(identity,B),A),
inference(paramod,[status(thm)],[c_1,c_21]) ).
cnf(c_29712,plain,
greatest_lower_bound(multiply(A,B),identity) = multiply(greatest_lower_bound(A,inverse(B)),B),
inference(paramod,[status(thm)],[c_2,c_21]) ).
cnf(c_63,plain,
greatest_lower_bound(identity,multiply(A,B)) = multiply(greatest_lower_bound(A,inverse(B)),B),
inference(paramod,[status(thm)],[c_4,c_29712]) ).
cnf(c_29713,plain,
greatest_lower_bound(identity,A) = greatest_lower_bound(identity,greatest_lower_bound(a,A)),
inference(paramod,[status(thm)],[c_22,c_7]) ).
cnf(c_67,plain,
greatest_lower_bound(identity,greatest_lower_bound(a,A)) = greatest_lower_bound(identity,A),
inference(copy,[status(thm)],[c_29713]) ).
cnf(c_29714,plain,
greatest_lower_bound(multiply(identity,A),multiply(b,A)) = multiply(identity,A),
inference(paramod,[status(thm)],[c_23,c_21]) ).
cnf(c_29715,plain,
greatest_lower_bound(A,multiply(b,A)) = multiply(identity,A),
inference(paramod,[status(thm)],[c_1,c_29714]) ).
cnf(c_72,plain,
greatest_lower_bound(A,multiply(b,A)) = A,
inference(paramod,[status(thm)],[c_1,c_29715]) ).
cnf(c_29716,plain,
greatest_lower_bound(identity,A) = greatest_lower_bound(identity,greatest_lower_bound(c,A)),
inference(paramod,[status(thm)],[c_24,c_7]) ).
cnf(c_73,plain,
greatest_lower_bound(identity,greatest_lower_bound(c,A)) = greatest_lower_bound(identity,A),
inference(copy,[status(thm)],[c_29716]) ).
cnf(c_77,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_27]) ).
cnf(c_78,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))) = C,
inference(paramod,[status(thm)],[c_3,c_27]) ).
cnf(c_87,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_27,c_27]) ).
cnf(c_88,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_87,c_77]) ).
cnf(c_92,plain,
greatest_lower_bound(A,multiply(A,B)) = multiply(A,greatest_lower_bound(identity,B)),
inference(paramod,[status(thm)],[c_88,c_17]) ).
cnf(c_29717,plain,
least_upper_bound(A,B) = least_upper_bound(A,least_upper_bound(greatest_lower_bound(C,A),B)),
inference(paramod,[status(thm)],[c_39,c_9]) ).
cnf(c_95,plain,
least_upper_bound(A,least_upper_bound(greatest_lower_bound(B,A),C)) = least_upper_bound(A,C),
inference(copy,[status(thm)],[c_29717]) ).
cnf(c_178,plain,
least_upper_bound(greatest_lower_bound(A,multiply(B,C)),greatest_lower_bound(A,multiply(B,greatest_lower_bound(C,D)))) = greatest_lower_bound(A,multiply(B,C)),
inference(paramod,[status(thm)],[c_17,c_40]) ).
cnf(c_29718,plain,
greatest_lower_bound(A,greatest_lower_bound(identity,B)) = greatest_lower_bound(identity,greatest_lower_bound(A,greatest_lower_bound(c,B))),
inference(paramod,[status(thm)],[c_73,c_29]) ).
cnf(c_295,plain,
greatest_lower_bound(identity,greatest_lower_bound(A,greatest_lower_bound(c,B))) = greatest_lower_bound(A,greatest_lower_bound(identity,B)),
inference(copy,[status(thm)],[c_29718]) ).
cnf(c_403,plain,
multiply(A,inverse(A)) = identity,
inference(paramod,[status(thm)],[c_87,c_2]) ).
cnf(c_408,plain,
multiply(A,multiply(inverse(A),B)) = B,
inference(paramod,[status(thm)],[c_87,c_27]) ).
cnf(c_29719,plain,
multiply(A,identity) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_87,c_88]) ).
cnf(c_29720,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_88,c_29719]) ).
cnf(c_409,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_29720]) ).
cnf(c_29721,plain,
greatest_lower_bound(inverse(b),identity) = inverse(b),
inference(paramod,[status(thm)],[c_403,c_72]) ).
cnf(c_420,plain,
greatest_lower_bound(identity,inverse(b)) = inverse(b),
inference(paramod,[status(thm)],[c_4,c_29721]) ).
cnf(c_29722,plain,
greatest_lower_bound(multiply(identity,A),multiply(inverse(b),A)) = multiply(inverse(b),A),
inference(paramod,[status(thm)],[c_420,c_21]) ).
cnf(c_488,plain,
greatest_lower_bound(A,multiply(inverse(b),A)) = multiply(inverse(b),A),
inference(paramod,[status(thm)],[c_1,c_29722]) ).
cnf(c_29723,plain,
multiply(inverse(inverse(A)),greatest_lower_bound(identity,multiply(inverse(A),B))) = greatest_lower_bound(A,B),
inference(paramod,[status(thm)],[c_50,c_27]) ).
cnf(c_29724,plain,
multiply(A,greatest_lower_bound(identity,multiply(inverse(A),B))) = greatest_lower_bound(A,B),
inference(paramod,[status(thm)],[c_409,c_29723]) ).
cnf(c_569,plain,
greatest_lower_bound(A,B) = multiply(A,greatest_lower_bound(identity,multiply(inverse(A),B))),
inference(copy,[status(thm)],[c_29724]) ).
cnf(c_570,plain,
greatest_lower_bound(identity,A) = multiply(inverse(B),greatest_lower_bound(B,multiply(B,A))),
inference(paramod,[status(thm)],[c_27,c_50]) ).
cnf(c_29725,plain,
least_upper_bound(A,multiply(greatest_lower_bound(identity,B),A)) = multiply(identity,A),
inference(paramod,[status(thm)],[c_12,c_53]) ).
cnf(c_748,plain,
least_upper_bound(A,multiply(greatest_lower_bound(identity,B),A)) = A,
inference(paramod,[status(thm)],[c_1,c_29725]) ).
cnf(c_787,plain,
greatest_lower_bound(multiply(A,B),C) = multiply(A,greatest_lower_bound(B,multiply(inverse(A),C))),
inference(paramod,[status(thm)],[c_408,c_17]) ).
cnf(c_890,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_787,c_30]) ).
cnf(c_1045,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(A,inverse(B)),B)) = identity,
inference(paramod,[status(thm)],[c_56,c_13]) ).
cnf(c_29726,plain,
multiply(inverse(multiply(A,B)),multiply(A,identity)) = inverse(B),
inference(paramod,[status(thm)],[c_403,c_78]) ).
cnf(c_1309,plain,
multiply(inverse(multiply(A,B)),A) = inverse(B),
inference(paramod,[status(thm)],[c_88,c_29726]) ).
cnf(c_1860,plain,
greatest_lower_bound(inverse(A),B) = multiply(inverse(A),greatest_lower_bound(identity,multiply(A,B))),
inference(paramod,[status(thm)],[c_27,c_92]) ).
cnf(c_29727,plain,
least_upper_bound(A,greatest_lower_bound(B,A)) = least_upper_bound(A,multiply(greatest_lower_bound(identity,C),greatest_lower_bound(B,A))),
inference(paramod,[status(thm)],[c_748,c_95]) ).
cnf(c_29728,plain,
A = least_upper_bound(A,multiply(greatest_lower_bound(identity,C),greatest_lower_bound(B,A))),
inference(paramod,[status(thm)],[c_39,c_29727]) ).
cnf(c_3270,plain,
least_upper_bound(A,multiply(greatest_lower_bound(identity,B),greatest_lower_bound(C,A))) = A,
inference(copy,[status(thm)],[c_29728]) ).
cnf(c_29729,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(paramod,[status(thm)],[c_27,c_1309]) ).
cnf(c_3387,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
inference(copy,[status(thm)],[c_29729]) ).
cnf(c_29730,plain,
least_upper_bound(greatest_lower_bound(A,multiply(B,C)),greatest_lower_bound(A,multiply(B,greatest_lower_bound(C,D)))) = greatest_lower_bound(multiply(B,C),A),
inference(paramod,[status(thm)],[c_4,c_178]) ).
cnf(c_29731,plain,
greatest_lower_bound(A,multiply(B,C)) = greatest_lower_bound(multiply(B,C),A),
inference(paramod,[status(thm)],[c_178,c_29730]) ).
cnf(c_5402,plain,
greatest_lower_bound(A,multiply(B,C)) = multiply(B,greatest_lower_bound(C,multiply(inverse(B),A))),
inference(paramod,[status(thm)],[c_787,c_29731]) ).
cnf(c_9925,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(A,B),inverse(B))) = identity,
inference(paramod,[status(thm)],[c_409,c_1045]) ).
cnf(c_29732,plain,
greatest_lower_bound(A,multiply(inverse(b),B)) = greatest_lower_bound(B,greatest_lower_bound(A,multiply(inverse(b),B))),
inference(paramod,[status(thm)],[c_488,c_29]) ).
cnf(c_19994,plain,
greatest_lower_bound(A,greatest_lower_bound(B,multiply(inverse(b),A))) = greatest_lower_bound(B,multiply(inverse(b),A)),
inference(copy,[status(thm)],[c_29732]) ).
cnf(c_29733,plain,
greatest_lower_bound(identity,multiply(A,inverse(multiply(greatest_lower_bound(identity,B),greatest_lower_bound(C,A))))) = identity,
inference(paramod,[status(thm)],[c_3270,c_9925]) ).
cnf(c_28459,plain,
greatest_lower_bound(identity,multiply(A,multiply(inverse(greatest_lower_bound(B,A)),inverse(greatest_lower_bound(identity,C))))) = identity,
inference(paramod,[status(thm)],[c_3387,c_29733]) ).
cnf(c_29734,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(multiply(a,greatest_lower_bound(identity,multiply(inverse(a),b))),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_569,c_890]) ).
cnf(c_28809,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(greatest_lower_bound(identity,multiply(inverse(a),b)),greatest_lower_bound(a,c))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3,c_29734]) ).
cnf(c_29735,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(multiply(inverse(A),greatest_lower_bound(A,multiply(A,multiply(inverse(a),b)))),greatest_lower_bound(a,c))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_570,c_28809]) ).
cnf(c_29033,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(inverse(A),multiply(greatest_lower_bound(A,multiply(A,multiply(inverse(a),b))),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3,c_29735]) ).
cnf(c_29736,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(inverse(inverse(multiply(inverse(a),b))),multiply(greatest_lower_bound(inverse(multiply(inverse(a),b)),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_2,c_29033]) ).
cnf(c_29737,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(inverse(multiply(inverse(b),inverse(inverse(a)))),multiply(greatest_lower_bound(inverse(multiply(inverse(a),b)),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3387,c_29736]) ).
cnf(c_29738,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(inverse(multiply(inverse(b),a)),multiply(greatest_lower_bound(inverse(multiply(inverse(a),b)),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_409,c_29737]) ).
cnf(c_29739,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(multiply(inverse(a),inverse(inverse(b))),multiply(greatest_lower_bound(inverse(multiply(inverse(a),b)),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3387,c_29738]) ).
cnf(c_29740,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(multiply(inverse(a),b),multiply(greatest_lower_bound(inverse(multiply(inverse(a),b)),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_409,c_29739]) ).
cnf(c_29741,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(multiply(inverse(a),b),multiply(greatest_lower_bound(multiply(inverse(b),inverse(inverse(a))),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3387,c_29740]) ).
cnf(c_29742,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(multiply(inverse(a),b),multiply(greatest_lower_bound(multiply(inverse(b),a),identity),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_409,c_29741]) ).
cnf(c_29743,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(multiply(inverse(a),b),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_4,c_29742]) ).
cnf(c_29744,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(a,multiply(inverse(a),multiply(b,multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c))))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3,c_29743]) ).
cnf(c_29745,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(inverse(b),multiply(b,multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_408,c_29744]) ).
cnf(c_29311,plain,
greatest_lower_bound(a,multiply(b,greatest_lower_bound(c,multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_27,c_29745]) ).
cnf(c_29389,plain,
greatest_lower_bound(a,multiply(b,multiply(c,greatest_lower_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c))))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_569,c_29311]) ).
cnf(c_29746,plain,
greatest_lower_bound(a,multiply(b,multiply(c,multiply(greatest_lower_bound(inverse(c),inverse(multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_63,c_29389]) ).
cnf(c_29747,plain,
greatest_lower_bound(a,multiply(b,multiply(c,multiply(greatest_lower_bound(inverse(c),multiply(inverse(greatest_lower_bound(a,c)),inverse(greatest_lower_bound(identity,multiply(inverse(b),a))))),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3387,c_29746]) ).
cnf(c_29748,plain,
greatest_lower_bound(a,multiply(b,multiply(c,multiply(multiply(inverse(c),greatest_lower_bound(identity,multiply(c,multiply(inverse(greatest_lower_bound(a,c)),inverse(greatest_lower_bound(identity,multiply(inverse(b),a))))))),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_1860,c_29747]) ).
cnf(c_29749,plain,
greatest_lower_bound(a,multiply(b,multiply(c,multiply(multiply(inverse(c),identity),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_28459,c_29748]) ).
cnf(c_29750,plain,
greatest_lower_bound(a,multiply(b,multiply(c,multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_88,c_29749]) ).
cnf(c_29462,plain,
greatest_lower_bound(a,multiply(b,multiply(greatest_lower_bound(identity,multiply(inverse(b),a)),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_408,c_29750]) ).
cnf(c_29751,plain,
greatest_lower_bound(a,multiply(b,multiply(multiply(inverse(b),greatest_lower_bound(b,a)),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_50,c_29462]) ).
cnf(c_29752,plain,
greatest_lower_bound(a,multiply(b,multiply(multiply(inverse(b),greatest_lower_bound(a,b)),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_4,c_29751]) ).
cnf(c_29753,plain,
greatest_lower_bound(a,multiply(b,multiply(inverse(b),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3,c_29752]) ).
cnf(c_29467,plain,
greatest_lower_bound(a,multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_408,c_29753]) ).
cnf(c_29754,plain,
greatest_lower_bound(a,multiply(multiply(a,greatest_lower_bound(identity,multiply(inverse(a),b))),greatest_lower_bound(a,c))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_569,c_29467]) ).
cnf(c_29755,plain,
greatest_lower_bound(a,multiply(a,multiply(greatest_lower_bound(identity,multiply(inverse(a),b)),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_3,c_29754]) ).
cnf(c_29756,plain,
multiply(a,greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,multiply(inverse(a),b)),greatest_lower_bound(a,c)))) != greatest_lower_bound(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_92,c_29755]) ).
cnf(c_29473,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(identity,multiply(greatest_lower_bound(identity,multiply(inverse(a),b)),greatest_lower_bound(a,c)))),
inference(copy,[status(thm)],[c_29756]) ).
cnf(c_29757,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(identity,greatest_lower_bound(greatest_lower_bound(a,c),multiply(multiply(inverse(a),b),greatest_lower_bound(a,c))))),
inference(paramod,[status(thm)],[c_60,c_29473]) ).
cnf(c_29758,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(identity,greatest_lower_bound(greatest_lower_bound(a,c),multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))))),
inference(paramod,[status(thm)],[c_3,c_29757]) ).
cnf(c_29759,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(identity,greatest_lower_bound(a,greatest_lower_bound(c,multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))))))),
inference(paramod,[status(thm)],[c_7,c_29758]) ).
cnf(c_29760,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(a,greatest_lower_bound(identity,multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))))),
inference(paramod,[status(thm)],[c_295,c_29759]) ).
cnf(c_29761,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(identity,greatest_lower_bound(a,multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))))),
inference(paramod,[status(thm)],[c_29,c_29760]) ).
cnf(c_29476,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,greatest_lower_bound(identity,multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))))),
inference(paramod,[status(thm)],[c_67,c_29761]) ).
cnf(c_29494,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(A),greatest_lower_bound(A,multiply(A,multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))))))),
inference(paramod,[status(thm)],[c_570,c_29476]) ).
cnf(c_29762,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_2,c_29494]) ).
cnf(c_29763,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(multiply(inverse(multiply(b,greatest_lower_bound(a,c))),inverse(inverse(a)))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_3387,c_29762]) ).
cnf(c_29764,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(multiply(multiply(inverse(greatest_lower_bound(a,c)),inverse(b)),inverse(inverse(a)))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_3387,c_29763]) ).
cnf(c_29765,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(multiply(multiply(inverse(greatest_lower_bound(a,c)),inverse(b)),a)),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_409,c_29764]) ).
cnf(c_29766,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(multiply(inverse(greatest_lower_bound(a,c)),multiply(inverse(b),a))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_3,c_29765]) ).
cnf(c_29767,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(multiply(inverse(b),a)),inverse(inverse(greatest_lower_bound(a,c)))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_3387,c_29766]) ).
cnf(c_29768,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(multiply(inverse(a),inverse(inverse(b))),inverse(inverse(greatest_lower_bound(a,c)))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_3387,c_29767]) ).
cnf(c_29769,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(multiply(inverse(a),b),inverse(inverse(greatest_lower_bound(a,c)))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_409,c_29768]) ).
cnf(c_29770,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(multiply(inverse(a),b),greatest_lower_bound(a,c)),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_409,c_29769]) ).
cnf(c_29771,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))),greatest_lower_bound(inverse(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c)))),identity))),
inference(paramod,[status(thm)],[c_3,c_29770]) ).
cnf(c_29772,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))),greatest_lower_bound(multiply(inverse(multiply(b,greatest_lower_bound(a,c))),inverse(inverse(a))),identity))),
inference(paramod,[status(thm)],[c_3387,c_29771]) ).
cnf(c_29773,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))),greatest_lower_bound(multiply(multiply(inverse(greatest_lower_bound(a,c)),inverse(b)),inverse(inverse(a))),identity))),
inference(paramod,[status(thm)],[c_3387,c_29772]) ).
cnf(c_29774,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))),greatest_lower_bound(multiply(multiply(inverse(greatest_lower_bound(a,c)),inverse(b)),a),identity))),
inference(paramod,[status(thm)],[c_409,c_29773]) ).
cnf(c_29775,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))),greatest_lower_bound(multiply(inverse(greatest_lower_bound(a,c)),multiply(inverse(b),a)),identity))),
inference(paramod,[status(thm)],[c_3,c_29774]) ).
cnf(c_29776,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(multiply(inverse(a),multiply(b,greatest_lower_bound(a,c))),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(a,c)),multiply(inverse(b),a))))),
inference(paramod,[status(thm)],[c_4,c_29775]) ).
cnf(c_29777,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(a),multiply(multiply(b,greatest_lower_bound(a,c)),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(a,c)),multiply(inverse(b),a)))))),
inference(paramod,[status(thm)],[c_3,c_29776]) ).
cnf(c_29778,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(a,multiply(inverse(a),multiply(b,multiply(greatest_lower_bound(a,c),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(a,c)),multiply(inverse(b),a))))))),
inference(paramod,[status(thm)],[c_3,c_29777]) ).
cnf(c_29578,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,multiply(greatest_lower_bound(a,c),greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(a,c)),multiply(inverse(b),a))))),
inference(paramod,[status(thm)],[c_408,c_29778]) ).
cnf(c_29779,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,multiply(greatest_lower_bound(a,c),multiply(inverse(greatest_lower_bound(a,c)),greatest_lower_bound(greatest_lower_bound(a,c),multiply(inverse(b),a))))),
inference(paramod,[status(thm)],[c_50,c_29578]) ).
cnf(c_29780,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,multiply(greatest_lower_bound(a,c),multiply(inverse(greatest_lower_bound(a,c)),greatest_lower_bound(multiply(inverse(b),a),greatest_lower_bound(a,c))))),
inference(paramod,[status(thm)],[c_4,c_29779]) ).
cnf(c_29781,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,multiply(greatest_lower_bound(a,c),multiply(inverse(greatest_lower_bound(a,c)),greatest_lower_bound(a,greatest_lower_bound(multiply(inverse(b),a),c))))),
inference(paramod,[status(thm)],[c_29,c_29780]) ).
cnf(c_29782,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,multiply(greatest_lower_bound(a,c),multiply(inverse(greatest_lower_bound(a,c)),greatest_lower_bound(a,greatest_lower_bound(c,multiply(inverse(b),a)))))),
inference(paramod,[status(thm)],[c_4,c_29781]) ).
cnf(c_29783,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,multiply(greatest_lower_bound(a,c),multiply(inverse(greatest_lower_bound(a,c)),greatest_lower_bound(c,multiply(inverse(b),a))))),
inference(paramod,[status(thm)],[c_19994,c_29782]) ).
cnf(c_29784,plain,
greatest_lower_bound(a,multiply(b,c)) != multiply(b,greatest_lower_bound(c,multiply(inverse(b),a))),
inference(paramod,[status(thm)],[c_408,c_29783]) ).
cnf(c_29704,plain,
multiply(b,greatest_lower_bound(c,multiply(inverse(b),a))) != greatest_lower_bound(a,multiply(b,c)),
inference(copy,[status(thm)],[c_29784]) ).
cnf(c_29785,plain,
multiply(B,greatest_lower_bound(C,multiply(inverse(B),A))) = greatest_lower_bound(A,multiply(B,C)),
inference(copy,[status(thm)],[c_5402]) ).
cnf(c_29705,plain,
$false,
inference(resolve,[status(thm)],[c_29704,c_29785]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP177-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 14:34:14 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 2229476 was started by sandbox on n011,
% 0.08/0.37 % Fri Sep 25 14:34:14 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 89.67/12.23
% 89.67/12.23 % given #500 (T,wt=10): 1022 least_upper_bound(a,greatest_lower_bound(A,greatest_lower_bound(B,inverse(a)))) = a. [para(7(a,1),1009(a,1,2))].
% 89.67/12.23
% 89.67/12.23 % given #1000 (T,wt=11): 2521 greatest_lower_bound(A,multiply(least_upper_bound(B,A),least_upper_bound(C,a))) = A. [para(170(a,1),120(a,1,2)),rewrite([43(2)]),flip(a)].
% 89.67/12.23
% 89.67/12.23 % SZS status Unsatisfiable for theBenchmark
% 89.67/12.23
% 89.67/12.23 % Proof 1 at 9.06 (+ 2.50) seconds.
% 89.67/12.23 % Length of proof is 75.
% 89.67/12.23 % Level of proof is 17.
% 89.67/12.23 % Maximum clause weight is 32.000.
% 89.67/12.23 % Given clauses 1237.
% 89.67/12.23
% 89.67/12.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------