%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : RNG028-8 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 08:26:25 AM UTC 2026
% Result : Unsatisfiable 101.21s 24.25s
% Output : CNFRefutation 101.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 12
% Syntax : Number of formulae : 154 ( 154 unt; 0 def)
% Number of atoms : 154 ( 153 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20 ( 20 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 372 ( 1 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_additive_identity,axiom,
! [VAR_0] : add(additive_identity,VAR_0) = VAR_0,
file('theBenchmark.p',left_additive_identity) ).
cnf(c_1,plain,
add(additive_identity,A) = A,
inference(clausify,[status(thm)],[left_additive_identity]) ).
fof(right_multiplicative_zero,axiom,
! [VAR_0] : multiply(VAR_0,additive_identity) = additive_identity,
file('theBenchmark.p',right_multiplicative_zero) ).
cnf(c_4,plain,
multiply(A,additive_identity) = additive_identity,
inference(clausify,[status(thm)],[right_multiplicative_zero]) ).
fof(right_additive_inverse,axiom,
! [VAR_0] : add(VAR_0,additive_inverse(VAR_0)) = additive_identity,
file('theBenchmark.p',right_additive_inverse) ).
cnf(c_6,plain,
add(A,additive_inverse(A)) = additive_identity,
inference(clausify,[status(thm)],[right_additive_inverse]) ).
fof(additive_inverse_additive_inverse,axiom,
! [VAR_0] : additive_inverse(additive_inverse(VAR_0)) = VAR_0,
file('theBenchmark.p',additive_inverse_additive_inverse) ).
cnf(c_7,plain,
additive_inverse(additive_inverse(A)) = A,
inference(clausify,[status(thm)],[additive_inverse_additive_inverse]) ).
fof(distribute1,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(VAR_0,add(VAR_1,VAR_2)) = add(multiply(VAR_0,VAR_1),multiply(VAR_0,VAR_2)),
file('theBenchmark.p',distribute1) ).
cnf(c_8,plain,
multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)),
inference(clausify,[status(thm)],[distribute1]) ).
fof(distribute2,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(add(VAR_0,VAR_1),VAR_2) = add(multiply(VAR_0,VAR_2),multiply(VAR_1,VAR_2)),
file('theBenchmark.p',distribute2) ).
cnf(c_9,plain,
multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)),
inference(clausify,[status(thm)],[distribute2]) ).
fof(commutativity_for_addition,axiom,
! [VAR_0,VAR_1] : add(VAR_0,VAR_1) = add(VAR_1,VAR_0),
file('theBenchmark.p',commutativity_for_addition) ).
cnf(c_10,plain,
add(A,B) = add(B,A),
inference(clausify,[status(thm)],[commutativity_for_addition]) ).
fof(associativity_for_addition,axiom,
! [VAR_0,VAR_1,VAR_2] : add(VAR_0,add(VAR_1,VAR_2)) = add(add(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',associativity_for_addition) ).
cnf(c_11,plain,
add(A,add(B,C)) = add(add(A,B),C),
inference(clausify,[status(thm)],[associativity_for_addition]) ).
cnf(c_12,plain,
add(add(A,B),C) = add(A,add(B,C)),
inference(copy,[status(thm)],[c_11]) ).
fof(right_alternative,axiom,
! [VAR_0,VAR_1] : multiply(multiply(VAR_0,VAR_1),VAR_1) = multiply(VAR_0,multiply(VAR_1,VAR_1)),
file('theBenchmark.p',right_alternative) ).
cnf(c_13,plain,
multiply(multiply(A,B),B) = multiply(A,multiply(B,B)),
inference(clausify,[status(thm)],[right_alternative]) ).
fof(left_alternative,axiom,
! [VAR_0,VAR_1] : multiply(multiply(VAR_0,VAR_0),VAR_1) = multiply(VAR_0,multiply(VAR_0,VAR_1)),
file('theBenchmark.p',left_alternative) ).
cnf(c_14,plain,
multiply(multiply(A,A),B) = multiply(A,multiply(A,B)),
inference(clausify,[status(thm)],[left_alternative]) ).
fof(associator,axiom,
! [VAR_0,VAR_1,VAR_2] : associator(VAR_0,VAR_1,VAR_2) = add(multiply(multiply(VAR_0,VAR_1),VAR_2),additive_inverse(multiply(VAR_0,multiply(VAR_1,VAR_2)))),
file('theBenchmark.p',associator) ).
cnf(c_15,plain,
associator(A,B,C) = add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))),
inference(clausify,[status(thm)],[associator]) ).
cnf(c_16,plain,
associator(A,B,C) = add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_10,c_15]) ).
fof(prove_left_moufang,axiom,
associator(x,multiply(y,x),z) != multiply(x,associator(x,y,z)),
file('theBenchmark.p',prove_left_moufang) ).
cnf(c_18,plain,
associator(x,multiply(y,x),z) != multiply(x,associator(x,y,z)),
inference(clausify,[status(thm)],[prove_left_moufang]) ).
cnf(c_5671,plain,
add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),multiply(multiply(x,multiply(y,x)),z)) != multiply(x,associator(x,y,z)),
inference(paramod,[status(thm)],[c_16,c_18]) ).
cnf(c_5672,plain,
add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),multiply(multiply(x,multiply(y,x)),z)) != multiply(x,add(additive_inverse(multiply(x,multiply(y,z))),multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_16,c_5671]) ).
cnf(c_19,plain,
add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),multiply(multiply(x,multiply(y,x)),z)) != add(multiply(x,additive_inverse(multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_8,c_5672]) ).
cnf(c_5673,plain,
multiply(A,additive_identity) = add(multiply(A,B),multiply(A,additive_inverse(B))),
inference(paramod,[status(thm)],[c_6,c_8]) ).
cnf(c_5674,plain,
additive_identity = add(multiply(A,B),multiply(A,additive_inverse(B))),
inference(paramod,[status(thm)],[c_4,c_5673]) ).
cnf(c_21,plain,
add(multiply(A,B),multiply(A,additive_inverse(B))) = additive_identity,
inference(copy,[status(thm)],[c_5674]) ).
cnf(c_5675,plain,
add(additive_identity,A) = add(B,add(additive_inverse(B),A)),
inference(paramod,[status(thm)],[c_6,c_12]) ).
cnf(c_5676,plain,
A = add(B,add(additive_inverse(B),A)),
inference(paramod,[status(thm)],[c_1,c_5675]) ).
cnf(c_25,plain,
add(A,add(additive_inverse(A),B)) = B,
inference(copy,[status(thm)],[c_5676]) ).
cnf(c_5677,plain,
add(add(A,B),C) = add(B,add(A,C)),
inference(paramod,[status(thm)],[c_10,c_12]) ).
cnf(c_27,plain,
add(A,add(B,C)) = add(B,add(A,C)),
inference(paramod,[status(thm)],[c_12,c_5677]) ).
cnf(c_5678,plain,
multiply(A,multiply(add(B,C),add(B,C))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_13,c_8]) ).
cnf(c_5679,plain,
multiply(A,add(multiply(add(B,C),B),multiply(add(B,C),C))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_8,c_5678]) ).
cnf(c_5680,plain,
multiply(A,add(add(multiply(B,B),multiply(C,B)),multiply(add(B,C),C))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_9,c_5679]) ).
cnf(c_5681,plain,
multiply(A,add(add(multiply(B,B),multiply(C,B)),add(multiply(B,C),multiply(C,C)))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_9,c_5680]) ).
cnf(c_5682,plain,
multiply(A,add(multiply(B,B),add(multiply(C,B),add(multiply(B,C),multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_12,c_5681]) ).
cnf(c_5683,plain,
add(multiply(A,multiply(B,B)),multiply(A,add(multiply(C,B),add(multiply(B,C),multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_8,c_5682]) ).
cnf(c_5684,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),multiply(A,add(multiply(B,C),multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_8,c_5683]) ).
cnf(c_5685,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(multiply(A,add(B,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_8,c_5684]) ).
cnf(c_5686,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(add(multiply(A,B),multiply(A,C)),B),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_8,c_5685]) ).
cnf(c_5687,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(multiply(A,B),B),multiply(multiply(A,C),B)),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_9,c_5686]) ).
cnf(c_5688,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),multiply(multiply(A,add(B,C)),C)),
inference(paramod,[status(thm)],[c_13,c_5687]) ).
cnf(c_5689,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),multiply(add(multiply(A,B),multiply(A,C)),C)),
inference(paramod,[status(thm)],[c_8,c_5688]) ).
cnf(c_5690,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),add(multiply(multiply(A,B),C),multiply(multiply(A,C),C))),
inference(paramod,[status(thm)],[c_9,c_5689]) ).
cnf(c_5691,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(add(multiply(A,multiply(B,B)),multiply(multiply(A,C),B)),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C)))),
inference(paramod,[status(thm)],[c_13,c_5690]) ).
cnf(c_5692,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(A,multiply(B,B)),add(multiply(multiply(A,C),B),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))),
inference(paramod,[status(thm)],[c_12,c_5691]) ).
cnf(c_28,plain,
add(multiply(A,multiply(B,B)),add(multiply(multiply(A,C),B),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))) = add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))),
inference(copy,[status(thm)],[c_5692]) ).
cnf(c_5693,plain,
multiply(add(multiply(add(A,B),A),multiply(add(A,B),B)),C) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_8,c_14]) ).
cnf(c_5694,plain,
multiply(add(add(multiply(A,A),multiply(B,A)),multiply(add(A,B),B)),C) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_9,c_5693]) ).
cnf(c_5695,plain,
multiply(add(add(multiply(A,A),multiply(B,A)),add(multiply(A,B),multiply(B,B))),C) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_9,c_5694]) ).
cnf(c_5696,plain,
multiply(add(multiply(A,A),add(multiply(B,A),add(multiply(A,B),multiply(B,B)))),C) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_12,c_5695]) ).
cnf(c_5697,plain,
add(multiply(multiply(A,A),C),multiply(add(multiply(B,A),add(multiply(A,B),multiply(B,B))),C)) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_9,c_5696]) ).
cnf(c_5698,plain,
add(multiply(A,multiply(A,C)),multiply(add(multiply(B,A),add(multiply(A,B),multiply(B,B))),C)) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_14,c_5697]) ).
cnf(c_5699,plain,
add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),multiply(add(multiply(A,B),multiply(B,B)),C))) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_9,c_5698]) ).
cnf(c_5700,plain,
add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),add(multiply(multiply(A,B),C),multiply(multiply(B,B),C)))) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_9,c_5699]) ).
cnf(c_5701,plain,
add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),add(multiply(multiply(A,B),C),multiply(B,multiply(B,C))))) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_14,c_5700]) ).
cnf(c_5702,plain,
add(multiply(A,multiply(A,C)),add(multiply(multiply(B,A),C),add(multiply(B,multiply(B,C)),multiply(multiply(A,B),C)))) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_10,c_5701]) ).
cnf(c_5703,plain,
add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = multiply(add(A,B),multiply(add(A,B),C)),
inference(paramod,[status(thm)],[c_27,c_5702]) ).
cnf(c_5704,plain,
add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = multiply(add(A,B),add(multiply(A,C),multiply(B,C))),
inference(paramod,[status(thm)],[c_9,c_5703]) ).
cnf(c_5705,plain,
add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = add(multiply(add(A,B),multiply(A,C)),multiply(add(A,B),multiply(B,C))),
inference(paramod,[status(thm)],[c_8,c_5704]) ).
cnf(c_5706,plain,
add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = add(add(multiply(A,multiply(A,C)),multiply(B,multiply(A,C))),multiply(add(A,B),multiply(B,C))),
inference(paramod,[status(thm)],[c_9,c_5705]) ).
cnf(c_5707,plain,
add(multiply(A,multiply(A,C)),add(multiply(B,multiply(B,C)),add(multiply(multiply(B,A),C),multiply(multiply(A,B),C)))) = add(add(multiply(A,multiply(A,C)),multiply(B,multiply(A,C))),add(multiply(A,multiply(B,C)),multiply(B,multiply(B,C)))),
inference(paramod,[status(thm)],[c_9,c_5706]) ).
cnf(c_30,plain,
add(multiply(A,multiply(A,B)),add(multiply(C,multiply(C,B)),add(multiply(multiply(C,A),B),multiply(multiply(A,C),B)))) = add(multiply(A,multiply(A,B)),add(multiply(C,multiply(A,B)),add(multiply(A,multiply(C,B)),multiply(C,multiply(C,B))))),
inference(paramod,[status(thm)],[c_12,c_5707]) ).
cnf(c_48,plain,
add(A,add(B,additive_inverse(A))) = B,
inference(paramod,[status(thm)],[c_10,c_25]) ).
cnf(c_50,plain,
add(additive_inverse(A),add(B,A)) = B,
inference(paramod,[status(thm)],[c_7,c_48]) ).
cnf(c_5708,plain,
add(A,B) = add(additive_inverse(C),add(add(A,C),B)),
inference(paramod,[status(thm)],[c_50,c_12]) ).
cnf(c_5709,plain,
add(A,B) = add(additive_inverse(C),add(A,add(C,B))),
inference(paramod,[status(thm)],[c_12,c_5708]) ).
cnf(c_58,plain,
add(additive_inverse(A),add(B,add(A,C))) = add(B,C),
inference(copy,[status(thm)],[c_5709]) ).
cnf(c_59,plain,
add(additive_inverse(A),add(B,add(C,A))) = add(B,C),
inference(paramod,[status(thm)],[c_12,c_50]) ).
cnf(c_5710,plain,
add(additive_inverse(multiply(A,additive_inverse(B))),additive_identity) = multiply(A,B),
inference(paramod,[status(thm)],[c_21,c_50]) ).
cnf(c_5711,plain,
add(additive_identity,additive_inverse(multiply(A,additive_inverse(B)))) = multiply(A,B),
inference(paramod,[status(thm)],[c_10,c_5710]) ).
cnf(c_60,plain,
additive_inverse(multiply(A,additive_inverse(B))) = multiply(A,B),
inference(paramod,[status(thm)],[c_1,c_5711]) ).
cnf(c_5712,plain,
add(additive_inverse(add(A,B)),A) = additive_inverse(B),
inference(paramod,[status(thm)],[c_50,c_50]) ).
cnf(c_64,plain,
add(A,additive_inverse(add(A,B))) = additive_inverse(B),
inference(paramod,[status(thm)],[c_10,c_5712]) ).
cnf(c_5713,plain,
additive_inverse(multiply(A,B)) = multiply(A,additive_inverse(B)),
inference(paramod,[status(thm)],[c_60,c_7]) ).
cnf(c_65,plain,
multiply(A,additive_inverse(B)) = additive_inverse(multiply(A,B)),
inference(copy,[status(thm)],[c_5713]) ).
cnf(c_68,plain,
add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),multiply(multiply(x,multiply(y,x)),z)) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_65,c_19]) ).
cnf(c_5714,plain,
add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))) = add(multiply(multiply(A,C),B),add(multiply(A,multiply(B,B)),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))),
inference(paramod,[status(thm)],[c_28,c_27]) ).
cnf(c_87,plain,
add(multiply(multiply(A,B),C),add(multiply(A,multiply(C,C)),add(multiply(multiply(A,C),B),multiply(A,multiply(B,B))))) = add(multiply(A,multiply(C,C)),add(multiply(A,multiply(B,C)),add(multiply(A,multiply(C,B)),multiply(A,multiply(B,B))))),
inference(copy,[status(thm)],[c_5714]) ).
cnf(c_5715,plain,
add(additive_inverse(A),additive_inverse(B)) = additive_inverse(add(B,A)),
inference(paramod,[status(thm)],[c_50,c_64]) ).
cnf(c_98,plain,
additive_inverse(add(A,B)) = add(additive_inverse(B),additive_inverse(A)),
inference(copy,[status(thm)],[c_5715]) ).
cnf(c_5716,plain,
add(additive_inverse(A),add(B,add(C,add(A,D)))) = add(add(B,C),D),
inference(paramod,[status(thm)],[c_12,c_58]) ).
cnf(c_102,plain,
add(additive_inverse(A),add(B,add(C,add(A,D)))) = add(B,add(C,D)),
inference(paramod,[status(thm)],[c_12,c_5716]) ).
cnf(c_5717,plain,
add(additive_inverse(multiply(A,multiply(A,B))),add(multiply(C,multiply(C,B)),add(multiply(A,multiply(C,B)),add(multiply(C,multiply(A,B)),multiply(A,multiply(A,B)))))) = add(multiply(C,multiply(C,B)),add(multiply(multiply(A,C),B),multiply(multiply(C,A),B))),
inference(paramod,[status(thm)],[c_30,c_58]) ).
cnf(c_117,plain,
add(multiply(A,multiply(A,B)),add(multiply(multiply(C,A),B),multiply(multiply(A,C),B))) = add(additive_inverse(multiply(C,multiply(C,B))),add(multiply(A,multiply(A,B)),add(multiply(C,multiply(A,B)),add(multiply(A,multiply(C,B)),multiply(C,multiply(C,B)))))),
inference(copy,[status(thm)],[c_5717]) ).
cnf(c_124,plain,
add(additive_inverse(A),add(B,add(C,add(D,A)))) = add(B,add(C,D)),
inference(paramod,[status(thm)],[c_12,c_59]) ).
cnf(c_125,plain,
add(multiply(A,multiply(A,B)),add(multiply(multiply(C,A),B),multiply(multiply(A,C),B))) = add(multiply(A,multiply(A,B)),add(multiply(C,multiply(A,B)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_124,c_117]) ).
cnf(c_5718,plain,
add(additive_inverse(add(multiply(A,multiply(B,B)),add(multiply(multiply(A,B),C),multiply(A,multiply(C,C))))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_87,c_50]) ).
cnf(c_5719,plain,
add(add(additive_inverse(add(multiply(multiply(A,B),C),multiply(A,multiply(C,C)))),additive_inverse(multiply(A,multiply(B,B)))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_98,c_5718]) ).
cnf(c_5720,plain,
add(add(add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C))),additive_inverse(multiply(A,multiply(B,B)))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_98,c_5719]) ).
cnf(c_5721,plain,
add(add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C)))),add(multiply(A,multiply(B,B)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_10,c_5720]) ).
cnf(c_5722,plain,
add(multiply(A,multiply(B,B)),add(add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C)))),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_27,c_5721]) ).
cnf(c_5723,plain,
add(multiply(A,multiply(B,B)),add(additive_inverse(multiply(A,multiply(B,B))),add(add(additive_inverse(multiply(A,multiply(C,C))),additive_inverse(multiply(multiply(A,B),C))),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C))))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_12,c_5722]) ).
cnf(c_5724,plain,
add(multiply(A,multiply(B,B)),add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(A,multiply(C,C))),add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(A,multiply(C,B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,C)))))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_12,c_5723]) ).
cnf(c_5725,plain,
add(multiply(A,multiply(B,B)),add(additive_inverse(multiply(A,multiply(B,B))),add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(A,multiply(C,B)),multiply(A,multiply(B,C)))))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_124,c_5724]) ).
cnf(c_5726,plain,
add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(A,multiply(C,B)),multiply(A,multiply(B,C)))) = multiply(multiply(A,C),B),
inference(paramod,[status(thm)],[c_25,c_5725]) ).
cnf(c_284,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(multiply(A,C),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(copy,[status(thm)],[c_5726]) ).
cnf(c_5727,plain,
associator(A,B,C) = add(additive_inverse(multiply(A,multiply(B,C))),add(additive_inverse(multiply(multiply(A,C),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))))),
inference(paramod,[status(thm)],[c_284,c_16]) ).
cnf(c_5728,plain,
add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)) = add(additive_inverse(multiply(A,multiply(B,C))),add(additive_inverse(multiply(multiply(A,C),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))))),
inference(paramod,[status(thm)],[c_16,c_5727]) ).
cnf(c_5729,plain,
add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)) = add(additive_inverse(multiply(multiply(A,C),B)),multiply(A,multiply(C,B))),
inference(paramod,[status(thm)],[c_58,c_5728]) ).
cnf(c_382,plain,
add(additive_inverse(multiply(A,multiply(B,C))),multiply(multiply(A,B),C)) = add(multiply(A,multiply(C,B)),additive_inverse(multiply(multiply(A,C),B))),
inference(paramod,[status(thm)],[c_10,c_5729]) ).
cnf(c_5730,plain,
multiply(A,add(multiply(B,multiply(C,D)),additive_inverse(multiply(multiply(B,C),D)))) = add(multiply(A,additive_inverse(multiply(B,multiply(D,C)))),multiply(A,multiply(multiply(B,D),C))),
inference(paramod,[status(thm)],[c_382,c_8]) ).
cnf(c_5731,plain,
add(multiply(A,multiply(B,multiply(C,D))),multiply(A,additive_inverse(multiply(multiply(B,C),D)))) = add(multiply(A,additive_inverse(multiply(B,multiply(D,C)))),multiply(A,multiply(multiply(B,D),C))),
inference(paramod,[status(thm)],[c_8,c_5730]) ).
cnf(c_5732,plain,
add(multiply(A,multiply(B,multiply(C,D))),additive_inverse(multiply(A,multiply(multiply(B,C),D)))) = add(multiply(A,additive_inverse(multiply(B,multiply(D,C)))),multiply(A,multiply(multiply(B,D),C))),
inference(paramod,[status(thm)],[c_65,c_5731]) ).
cnf(c_5733,plain,
add(multiply(A,multiply(B,multiply(C,D))),additive_inverse(multiply(A,multiply(multiply(B,C),D)))) = add(additive_inverse(multiply(A,multiply(B,multiply(D,C)))),multiply(A,multiply(multiply(B,D),C))),
inference(paramod,[status(thm)],[c_65,c_5732]) ).
cnf(c_701,plain,
add(additive_inverse(multiply(A,multiply(B,multiply(C,D)))),multiply(A,multiply(multiply(B,C),D))) = add(multiply(A,multiply(B,multiply(D,C))),additive_inverse(multiply(A,multiply(multiply(B,D),C)))),
inference(copy,[status(thm)],[c_5733]) ).
cnf(c_5734,plain,
add(additive_inverse(multiply(A,multiply(A,B))),add(C,add(multiply(A,multiply(A,B)),add(multiply(D,multiply(A,B)),multiply(A,multiply(D,B)))))) = add(C,add(multiply(multiply(D,A),B),multiply(multiply(A,D),B))),
inference(paramod,[status(thm)],[c_125,c_58]) ).
cnf(c_5735,plain,
add(C,add(multiply(D,multiply(A,B)),multiply(A,multiply(D,B)))) = add(C,add(multiply(multiply(D,A),B),multiply(multiply(A,D),B))),
inference(paramod,[status(thm)],[c_58,c_5734]) ).
cnf(c_908,plain,
add(A,add(multiply(multiply(B,C),D),multiply(multiply(C,B),D))) = add(A,add(multiply(B,multiply(C,D)),multiply(C,multiply(B,D)))),
inference(copy,[status(thm)],[c_5735]) ).
cnf(c_5736,plain,
add(additive_inverse(multiply(multiply(A,B),C)),add(multiply(B,multiply(A,C)),multiply(A,multiply(B,C)))) = multiply(multiply(B,A),C),
inference(paramod,[status(thm)],[c_908,c_50]) ).
cnf(c_5737,plain,
add(add(multiply(B,multiply(A,C)),multiply(A,multiply(B,C))),additive_inverse(multiply(multiply(A,B),C))) = multiply(multiply(B,A),C),
inference(paramod,[status(thm)],[c_10,c_5736]) ).
cnf(c_5738,plain,
add(multiply(B,multiply(A,C)),add(multiply(A,multiply(B,C)),additive_inverse(multiply(multiply(A,B),C)))) = multiply(multiply(B,A),C),
inference(paramod,[status(thm)],[c_12,c_5737]) ).
cnf(c_1930,plain,
multiply(multiply(A,B),C) = add(multiply(A,multiply(B,C)),add(multiply(B,multiply(A,C)),additive_inverse(multiply(multiply(B,A),C)))),
inference(copy,[status(thm)],[c_5738]) ).
cnf(c_5739,plain,
add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),add(multiply(x,multiply(multiply(y,x),z)),add(multiply(multiply(y,x),multiply(x,z)),additive_inverse(multiply(multiply(multiply(y,x),x),z))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_1930,c_68]) ).
cnf(c_5740,plain,
add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),add(multiply(x,multiply(multiply(y,x),z)),add(multiply(multiply(y,x),multiply(x,z)),additive_inverse(multiply(multiply(y,multiply(x,x)),z))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_13,c_5739]) ).
cnf(c_5741,plain,
add(multiply(x,multiply(multiply(y,x),z)),add(additive_inverse(multiply(x,multiply(multiply(y,x),z))),add(multiply(multiply(y,x),multiply(x,z)),additive_inverse(multiply(multiply(y,multiply(x,x)),z))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_27,c_5740]) ).
cnf(c_2203,plain,
add(multiply(multiply(y,x),multiply(x,z)),additive_inverse(multiply(multiply(y,multiply(x,x)),z))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_25,c_5741]) ).
cnf(c_5742,plain,
multiply(multiply(A,B),C) = add(additive_inverse(add(multiply(A,multiply(C,B)),add(multiply(C,multiply(A,B)),additive_inverse(multiply(multiply(C,A),B))))),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_1930,c_284]) ).
cnf(c_5743,plain,
multiply(multiply(A,B),C) = add(add(additive_inverse(add(multiply(C,multiply(A,B)),additive_inverse(multiply(multiply(C,A),B)))),additive_inverse(multiply(A,multiply(C,B)))),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_98,c_5742]) ).
cnf(c_5744,plain,
multiply(multiply(A,B),C) = add(add(add(additive_inverse(additive_inverse(multiply(multiply(C,A),B))),additive_inverse(multiply(C,multiply(A,B)))),additive_inverse(multiply(A,multiply(C,B)))),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_98,c_5743]) ).
cnf(c_5745,plain,
multiply(multiply(A,B),C) = add(add(add(multiply(multiply(C,A),B),additive_inverse(multiply(C,multiply(A,B)))),additive_inverse(multiply(A,multiply(C,B)))),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_7,c_5744]) ).
cnf(c_5746,plain,
multiply(multiply(A,B),C) = add(add(add(additive_inverse(multiply(C,multiply(A,B))),multiply(multiply(C,A),B)),additive_inverse(multiply(A,multiply(C,B)))),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_10,c_5745]) ).
cnf(c_5747,plain,
multiply(multiply(A,B),C) = add(add(additive_inverse(multiply(A,multiply(C,B))),add(additive_inverse(multiply(C,multiply(A,B))),multiply(multiply(C,A),B))),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))),
inference(paramod,[status(thm)],[c_10,c_5746]) ).
cnf(c_5748,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(A,multiply(C,B))),add(add(additive_inverse(multiply(C,multiply(A,B))),multiply(multiply(C,A),B)),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B))))),
inference(paramod,[status(thm)],[c_12,c_5747]) ).
cnf(c_5749,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(A,multiply(C,B))),add(additive_inverse(multiply(C,multiply(A,B))),add(multiply(multiply(C,A),B),add(multiply(A,multiply(B,C)),multiply(A,multiply(C,B)))))),
inference(paramod,[status(thm)],[c_12,c_5748]) ).
cnf(c_2232,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(C,multiply(A,B))),add(multiply(multiply(C,A),B),multiply(A,multiply(B,C)))),
inference(paramod,[status(thm)],[c_124,c_5749]) ).
cnf(c_3863,plain,
add(additive_inverse(multiply(multiply(A,B),C)),multiply(multiply(B,C),A)) = add(additive_inverse(multiply(A,multiply(B,C))),multiply(B,multiply(C,A))),
inference(paramod,[status(thm)],[c_2232,c_58]) ).
cnf(c_5750,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(C,multiply(A,B))),add(add(additive_inverse(multiply(B,multiply(C,A))),add(multiply(multiply(B,C),A),multiply(C,multiply(A,B)))),multiply(A,multiply(B,C)))),
inference(paramod,[status(thm)],[c_2232,c_2232]) ).
cnf(c_5751,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(C,multiply(A,B))),add(additive_inverse(multiply(B,multiply(C,A))),add(add(multiply(multiply(B,C),A),multiply(C,multiply(A,B))),multiply(A,multiply(B,C))))),
inference(paramod,[status(thm)],[c_12,c_5750]) ).
cnf(c_5752,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(C,multiply(A,B))),add(additive_inverse(multiply(B,multiply(C,A))),add(multiply(multiply(B,C),A),add(multiply(C,multiply(A,B)),multiply(A,multiply(B,C)))))),
inference(paramod,[status(thm)],[c_12,c_5751]) ).
cnf(c_4124,plain,
multiply(multiply(A,B),C) = add(additive_inverse(multiply(B,multiply(C,A))),add(multiply(multiply(B,C),A),multiply(A,multiply(B,C)))),
inference(paramod,[status(thm)],[c_102,c_5752]) ).
cnf(c_4629,plain,
add(additive_inverse(multiply(A,multiply(B,C))),multiply(B,multiply(C,A))) = add(multiply(multiply(B,C),A),additive_inverse(multiply(multiply(A,B),C))),
inference(paramod,[status(thm)],[c_3863,c_10]) ).
cnf(c_4710,plain,
add(multiply(multiply(A,B),C),additive_inverse(multiply(multiply(C,A),B))) = add(multiply(A,multiply(B,C)),additive_inverse(multiply(C,multiply(A,B)))),
inference(paramod,[status(thm)],[c_4629,c_10]) ).
cnf(c_5753,plain,
add(multiply(multiply(A,multiply(A,B)),C),additive_inverse(multiply(multiply(C,multiply(A,A)),B))) = add(multiply(multiply(A,A),multiply(B,C)),additive_inverse(multiply(C,multiply(multiply(A,A),B)))),
inference(paramod,[status(thm)],[c_14,c_4710]) ).
cnf(c_5754,plain,
add(multiply(multiply(A,multiply(A,B)),C),additive_inverse(multiply(multiply(C,multiply(A,A)),B))) = add(multiply(A,multiply(A,multiply(B,C))),additive_inverse(multiply(C,multiply(multiply(A,A),B)))),
inference(paramod,[status(thm)],[c_14,c_5753]) ).
cnf(c_4950,plain,
add(multiply(multiply(A,multiply(A,B)),C),additive_inverse(multiply(multiply(C,multiply(A,A)),B))) = add(multiply(A,multiply(A,multiply(B,C))),additive_inverse(multiply(C,multiply(A,multiply(A,B))))),
inference(paramod,[status(thm)],[c_14,c_5754]) ).
cnf(c_5755,plain,
add(add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),add(multiply(multiply(x,multiply(x,z)),y),multiply(y,multiply(x,multiply(x,z))))),additive_inverse(multiply(multiply(y,multiply(x,x)),z))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_4124,c_2203]) ).
cnf(c_5756,plain,
add(add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),add(multiply(y,multiply(x,multiply(x,z))),multiply(multiply(x,multiply(x,z)),y))),additive_inverse(multiply(multiply(y,multiply(x,x)),z))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_10,c_5755]) ).
cnf(c_5757,plain,
add(add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),multiply(multiply(x,multiply(x,z)),y))),additive_inverse(multiply(multiply(y,multiply(x,x)),z))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_27,c_5756]) ).
cnf(c_5758,plain,
add(multiply(y,multiply(x,multiply(x,z))),add(add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),multiply(multiply(x,multiply(x,z)),y)),additive_inverse(multiply(multiply(y,multiply(x,x)),z)))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_12,c_5757]) ).
cnf(c_5759,plain,
add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),add(multiply(multiply(x,multiply(x,z)),y),additive_inverse(multiply(multiply(y,multiply(x,x)),z))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_12,c_5758]) ).
cnf(c_5760,plain,
add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),add(multiply(x,multiply(x,multiply(z,y))),additive_inverse(multiply(y,multiply(x,multiply(x,z))))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_4950,c_5759]) ).
cnf(c_5761,plain,
add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(x,multiply(multiply(x,z),y))),add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),multiply(x,multiply(x,multiply(z,y)))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_10,c_5760]) ).
cnf(c_5762,plain,
add(multiply(y,multiply(x,multiply(x,z))),add(add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),multiply(x,multiply(x,multiply(z,y)))),additive_inverse(multiply(x,multiply(multiply(x,z),y))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_10,c_5761]) ).
cnf(c_5763,plain,
add(multiply(y,multiply(x,multiply(x,z))),add(additive_inverse(multiply(y,multiply(x,multiply(x,z)))),add(multiply(x,multiply(x,multiply(z,y))),additive_inverse(multiply(x,multiply(multiply(x,z),y)))))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_12,c_5762]) ).
cnf(c_5669,plain,
add(multiply(x,multiply(x,multiply(z,y))),additive_inverse(multiply(x,multiply(multiply(x,z),y)))) != add(additive_inverse(multiply(x,multiply(x,multiply(y,z)))),multiply(x,multiply(multiply(x,y),z))),
inference(paramod,[status(thm)],[c_25,c_5763]) ).
cnf(c_5764,plain,
add(multiply(A,multiply(B,multiply(D,C))),additive_inverse(multiply(A,multiply(multiply(B,D),C)))) = add(additive_inverse(multiply(A,multiply(B,multiply(C,D)))),multiply(A,multiply(multiply(B,C),D))),
inference(copy,[status(thm)],[c_701]) ).
cnf(c_5670,plain,
$false,
inference(resolve,[status(thm)],[c_5669,c_5764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG028-8 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.43 % Computer : n017.cluster.edu
% 0.16/10.43 % Model : x86_64 x86_64
% 0.16/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.43 % Memory : 8046.5625MB
% 0.16/10.43 % OS : Linux 6.8.0-71-generic
% 0.16/10.43 % CPULimit : 300
% 0.16/10.43 % WCLimit : 300
% 0.16/10.43 % DateTime : Sat Sep 26 05:43:58 UTC 2026
% 0.16/10.43 % CPUTime :
% 0.16/10.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/10.43 % Process 4179118 was started by sandbox2 on n017,
% 0.16/10.43 % Sat Sep 26 05:43:58 2026
% 0.16/10.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/10.44
% 0.16/10.44 % From the command line: assign(max_seconds, 300).
% 101.21/24.25
% 101.21/24.25 % SZS status Unsatisfiable for theBenchmark
% 101.21/24.25
% 101.21/24.25 % Proof 1 at 5.34 (+ 0.40) seconds.
% 101.21/24.25 % Length of proof is 48.
% 101.21/24.25 % Level of proof is 16.
% 101.21/24.25 % Maximum clause weight is 86.000.
% 101.21/24.25 % Given clauses 194.
% 101.21/24.25
% 101.21/24.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------