TSTP Solution File: GRP778+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP778+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 09:03:38 EDT 2022
% Result : Theorem 0.44s 32.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 15
% Syntax : Number of formulae : 223 ( 213 unt; 0 def)
% Number of atoms : 237 ( 210 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 292 ( 6 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos05,axiom,
! [X3,X4,X1,X2] : product(product(X2,X1),product(X4,X3)) = product(product(X2,X4),product(X1,X3)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos05) ).
fof(sos06,axiom,
! [X2] : product(X2,X2) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos06) ).
fof(sos03,axiom,
! [X1,X2] : quotient(product(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos03) ).
fof(sos01,axiom,
! [X1,X2] : difference(X2,product(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos01) ).
fof(sos07,axiom,
! [X1,X2] : product(product(product(X2,X1),X1),product(X1,product(X1,X2))) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos07) ).
fof(sos04,axiom,
! [X1,X2] : product(quotient(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos04) ).
fof(sos02,axiom,
! [X1,X2] : product(X2,difference(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos02) ).
fof(sos08,axiom,
! [X5,X6,X7] :
( d(X5,X6,X7)
<=> product(X5,X6) = product(X6,X7) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos08) ).
fof(sos10,axiom,
d(a1,b,c),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos10) ).
fof(sos12,axiom,
d(a,b,c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos12) ).
fof(sos14,axiom,
d(a1,b2,c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos14) ).
fof(sos13,axiom,
d(a2,b1,c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos13) ).
fof(sos11,axiom,
d(a,b1,c),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos11) ).
fof(sos09,axiom,
! [X8,X9,X10] :
( m(X8,X9,X10)
<=> product(product(X8,X9),product(X9,X10)) = product(X8,X10) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos09) ).
fof(goals,conjecture,
m(b1,b,b2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] : product(product(X8,X7),product(X6,X5)) = product(product(X8,X6),product(X7,X5)),
inference(variable_rename,[status(thm)],[sos05]) ).
fof(c_0_16,plain,
! [X3] : product(X3,X3) = X3,
inference(variable_rename,[status(thm)],[sos06]) ).
cnf(c_0_17,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
product(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X3,X4] : quotient(product(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[sos03]) ).
cnf(c_0_20,plain,
product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_21,plain,
! [X3,X4] : difference(X4,product(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[sos01]) ).
fof(c_0_22,plain,
! [X3,X4] : product(product(product(X4,X3),X3),product(X3,product(X3,X4))) = X3,
inference(variable_rename,[status(thm)],[sos07]) ).
cnf(c_0_23,plain,
quotient(product(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
fof(c_0_25,plain,
! [X3,X4] : product(quotient(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[sos04]) ).
cnf(c_0_26,plain,
difference(X1,product(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
quotient(product(X1,product(X2,X1)),X1) = product(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
product(quotient(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
difference(product(product(X1,X2),X2),X2) = product(X2,product(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_31,plain,
! [X3,X4] : product(X4,difference(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[sos02]) ).
cnf(c_0_32,plain,
quotient(product(X1,X2),X1) = product(X1,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
product(X1,product(X1,quotient(X2,X1))) = difference(product(X2,X1),X1),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_34,plain,
product(X1,difference(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
quotient(difference(product(X1,X2),X2),X2) = difference(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_32]),c_0_33]),c_0_29]) ).
cnf(c_0_36,plain,
quotient(X1,difference(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_23,c_0_34]) ).
cnf(c_0_37,plain,
difference(product(X1,X2),X2) = product(difference(X1,X2),X2),
inference(spm,[status(thm)],[c_0_29,c_0_35]) ).
cnf(c_0_38,plain,
product(X1,product(difference(X1,X2),X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_39,plain,
quotient(X1,product(X1,product(X1,X2))) = product(product(X2,X1),X1),
inference(spm,[status(thm)],[c_0_23,c_0_27]) ).
cnf(c_0_40,plain,
quotient(X1,product(difference(X2,X1),X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
difference(quotient(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_42,plain,
difference(X1,product(X2,X1)) = product(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_26,c_0_38]) ).
cnf(c_0_43,plain,
product(product(difference(X1,X2),X1),X1) = quotient(X1,product(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
fof(c_0_44,plain,
! [X8,X9,X10,X8,X9,X10] :
( ( ~ d(X8,X9,X10)
| product(X8,X9) = product(X9,X10) )
& ( product(X8,X9) != product(X9,X10)
| d(X8,X9,X10) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos08])])])]) ).
cnf(c_0_45,plain,
quotient(X1,product(X2,X1)) = product(quotient(X1,X2),X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
difference(X1,quotient(X1,product(X1,X2))) = quotient(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_42]),c_0_43]),c_0_34]) ).
cnf(c_0_47,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,plain,
d(a1,b,c),
inference(split_conjunct,[status(thm)],[sos10]) ).
cnf(c_0_49,plain,
product(product(quotient(X1,X2),X3),X2) = product(X1,product(X3,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_50,plain,
product(quotient(X1,quotient(X2,X1)),X1) = quotient(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_29]) ).
cnf(c_0_51,plain,
quotient(X1,product(X1,X2)) = product(X1,quotient(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_52,plain,
product(product(X1,X2),product(difference(X1,X3),X4)) = product(X3,product(X2,X4)),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_53,plain,
product(b,c) = product(a1,b),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
product(product(X1,quotient(X2,X3)),product(X4,X3)) = product(product(X1,X4),X2),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_55,plain,
product(quotient(X1,X2),quotient(X2,X1)) = product(difference(X2,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_33]),c_0_37]) ).
cnf(c_0_56,plain,
product(product(difference(X1,X2),X1),X1) = product(X1,quotient(X1,X2)),
inference(rw,[status(thm)],[c_0_43,c_0_51]) ).
cnf(c_0_57,plain,
quotient(quotient(X1,X2),X1) = quotient(X1,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_50]) ).
cnf(c_0_58,plain,
product(product(X1,X2),product(X3,difference(X2,X4))) = product(product(X1,X3),X4),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_59,plain,
product(X1,product(difference(X1,X2),X3)) = product(X2,product(X1,X3)),
inference(spm,[status(thm)],[c_0_52,c_0_18]) ).
cnf(c_0_60,plain,
product(difference(quotient(X1,X2),X2),X2) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
cnf(c_0_61,plain,
product(b,quotient(c,b)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_23]) ).
cnf(c_0_62,plain,
product(product(difference(X1,X2),X3),X2) = product(X2,product(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_20]),c_0_49]) ).
cnf(c_0_63,plain,
product(difference(X1,quotient(X2,X1)),X1) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_64,plain,
product(X1,quotient(X1,quotient(X2,X1))) = product(difference(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_56]),c_0_32]),c_0_57]) ).
cnf(c_0_65,plain,
product(X1,product(X1,quotient(X2,X1))) = product(difference(X2,X1),X1),
inference(rw,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_66,plain,
product(X1,product(X2,difference(X1,X3))) = product(product(X1,X2),X3),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_67,plain,
product(quotient(X1,X2),difference(X1,X2)) = product(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_29]) ).
cnf(c_0_68,plain,
d(a,b,c1),
inference(split_conjunct,[status(thm)],[sos12]) ).
cnf(c_0_69,plain,
quotient(c,b) = difference(b,a1),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_70,plain,
d(a1,b2,c1),
inference(split_conjunct,[status(thm)],[sos14]) ).
cnf(c_0_71,plain,
d(a2,b1,c1),
inference(split_conjunct,[status(thm)],[sos13]) ).
cnf(c_0_72,plain,
difference(product(X1,quotient(X1,X2)),X1) = product(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_51]) ).
cnf(c_0_73,plain,
product(difference(X1,X2),quotient(X2,X1)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_18]),c_0_29]) ).
cnf(c_0_74,plain,
product(difference(X1,difference(X1,X2)),X1) = quotient(X1,quotient(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_64]),c_0_42]) ).
cnf(c_0_75,plain,
product(difference(X1,difference(X2,X1)),X1) = product(X1,quotient(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_65]),c_0_42]) ).
cnf(c_0_76,plain,
difference(X1,product(product(X1,X2),X3)) = product(X2,difference(X1,X3)),
inference(spm,[status(thm)],[c_0_26,c_0_66]) ).
cnf(c_0_77,plain,
quotient(product(X1,X2),difference(X2,X1)) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_23,c_0_67]) ).
cnf(c_0_78,plain,
product(a,b) = product(b,c1),
inference(spm,[status(thm)],[c_0_47,c_0_68]) ).
cnf(c_0_79,plain,
product(difference(b,a1),b) = c,
inference(spm,[status(thm)],[c_0_29,c_0_69]) ).
cnf(c_0_80,plain,
product(b2,c1) = product(a1,b2),
inference(spm,[status(thm)],[c_0_47,c_0_70]) ).
cnf(c_0_81,plain,
product(a2,b1) = product(b1,c1),
inference(spm,[status(thm)],[c_0_47,c_0_71]) ).
cnf(c_0_82,plain,
difference(product(X1,X2),X1) = product(X1,difference(X2,X1)),
inference(spm,[status(thm)],[c_0_72,c_0_36]) ).
cnf(c_0_83,plain,
product(X1,product(X2,quotient(X1,X2))) = product(X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_73]) ).
cnf(c_0_84,plain,
quotient(X1,quotient(quotient(X2,X1),X1)) = difference(X1,difference(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_74]),c_0_57]) ).
cnf(c_0_85,plain,
product(X1,quotient(quotient(X2,X1),X1)) = difference(X1,difference(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_75]),c_0_32]) ).
cnf(c_0_86,plain,
product(difference(X1,X2),difference(X1,X3)) = difference(X1,product(X2,X3)),
inference(spm,[status(thm)],[c_0_76,c_0_34]) ).
cnf(c_0_87,plain,
quotient(product(X1,product(X2,X1)),X2) = product(X1,quotient(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_26]),c_0_24]),c_0_51]) ).
cnf(c_0_88,plain,
quotient(product(b,c1),b) = a,
inference(spm,[status(thm)],[c_0_23,c_0_78]) ).
cnf(c_0_89,plain,
difference(product(c,b),b) = product(b,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_79]),c_0_34]) ).
cnf(c_0_90,plain,
product(b2,quotient(c1,b2)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_80]),c_0_23]) ).
cnf(c_0_91,plain,
product(product(product(b1,c1),b1),product(b1,product(b1,a2))) = b1,
inference(spm,[status(thm)],[c_0_27,c_0_81]) ).
cnf(c_0_92,plain,
product(product(product(b,c1),b),product(b,product(b,a))) = b,
inference(spm,[status(thm)],[c_0_27,c_0_78]) ).
cnf(c_0_93,plain,
product(X1,difference(difference(X1,X2),X1)) = difference(X2,X1),
inference(spm,[status(thm)],[c_0_82,c_0_34]) ).
cnf(c_0_94,plain,
difference(X1,product(difference(X2,X1),X2)) = quotient(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_66]),c_0_85]),c_0_86]),c_0_29]) ).
cnf(c_0_95,plain,
quotient(product(X1,X2),quotient(X2,X1)) = product(difference(X1,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_29]),c_0_64]) ).
cnf(c_0_96,plain,
product(b,quotient(c1,b)) = a,
inference(rw,[status(thm)],[c_0_88,c_0_32]) ).
cnf(c_0_97,plain,
product(difference(c,b),b) = product(b,a1),
inference(rw,[status(thm)],[c_0_89,c_0_37]) ).
cnf(c_0_98,plain,
quotient(c1,b2) = difference(b2,a1),
inference(spm,[status(thm)],[c_0_26,c_0_90]) ).
cnf(c_0_99,plain,
quotient(product(b1,c1),b1) = a2,
inference(spm,[status(thm)],[c_0_23,c_0_81]) ).
cnf(c_0_100,plain,
product(b1,product(product(c1,b1),product(b1,a2))) = b1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_24]),c_0_17]),c_0_18]) ).
cnf(c_0_101,plain,
difference(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_102,plain,
product(b,product(product(c1,b),product(b,a))) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_24]),c_0_17]),c_0_18]) ).
cnf(c_0_103,plain,
difference(difference(X1,X2),X1) = difference(X1,difference(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_93]) ).
cnf(c_0_104,plain,
quotient(X1,product(difference(X2,X1),X2)) = product(difference(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_94]),c_0_62]),c_0_18]),c_0_95]) ).
cnf(c_0_105,plain,
quotient(c1,b) = difference(b,a),
inference(spm,[status(thm)],[c_0_26,c_0_96]) ).
cnf(c_0_106,plain,
product(product(b,X1),c) = product(a1,product(X1,b)),
inference(spm,[status(thm)],[c_0_52,c_0_79]) ).
cnf(c_0_107,plain,
product(b,quotient(a1,b)) = difference(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_97]),c_0_32]) ).
cnf(c_0_108,plain,
product(difference(b2,a1),b2) = c1,
inference(spm,[status(thm)],[c_0_29,c_0_98]) ).
cnf(c_0_109,plain,
product(b1,quotient(c1,b1)) = a2,
inference(rw,[status(thm)],[c_0_99,c_0_32]) ).
cnf(c_0_110,plain,
product(product(c1,b1),product(b1,a2)) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_100]),c_0_101]) ).
cnf(c_0_111,plain,
product(product(c1,b),product(b,a)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_102]),c_0_101]) ).
cnf(c_0_112,plain,
quotient(product(X1,product(X2,X3)),X3) = product(quotient(X1,X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_49]) ).
cnf(c_0_113,plain,
product(product(X1,X2),product(X1,X3)) = product(X1,product(X2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_114,plain,
product(X1,quotient(product(X2,X3),X1)) = product(difference(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_62]),c_0_32]) ).
cnf(c_0_115,plain,
product(difference(X1,X2),X1) = product(X2,quotient(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_94]),c_0_29]),c_0_37]),c_0_103]),c_0_75]),c_0_104]) ).
cnf(c_0_116,plain,
product(difference(b,a),b) = c1,
inference(spm,[status(thm)],[c_0_29,c_0_105]) ).
cnf(c_0_117,plain,
product(difference(c,b),c) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_29]),c_0_18]) ).
cnf(c_0_118,plain,
product(product(b2,X1),c1) = product(a1,product(X1,b2)),
inference(spm,[status(thm)],[c_0_52,c_0_108]) ).
cnf(c_0_119,plain,
quotient(c1,b1) = difference(b1,a2),
inference(spm,[status(thm)],[c_0_26,c_0_109]) ).
cnf(c_0_120,plain,
difference(product(c1,b1),b1) = product(b1,a2),
inference(spm,[status(thm)],[c_0_26,c_0_110]) ).
cnf(c_0_121,plain,
difference(product(c1,b),b) = product(b,a),
inference(spm,[status(thm)],[c_0_26,c_0_111]) ).
cnf(c_0_122,plain,
product(quotient(product(X1,X2),X3),X1) = product(quotient(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_112]) ).
cnf(c_0_123,plain,
product(product(X1,quotient(X2,X3)),X3) = product(product(X1,X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_124,plain,
product(difference(quotient(X1,X2),X3),X2) = difference(X1,product(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_114]),c_0_86]) ).
cnf(c_0_125,plain,
product(product(b,X1),c1) = product(a,product(X1,b)),
inference(spm,[status(thm)],[c_0_52,c_0_116]) ).
cnf(c_0_126,plain,
product(a1,difference(c,b)) = product(b,a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_117]),c_0_34]),c_0_97]) ).
cnf(c_0_127,plain,
product(product(a1,c1),product(c1,b2)) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_118]),c_0_20]) ).
cnf(c_0_128,plain,
product(difference(b1,a2),b1) = c1,
inference(spm,[status(thm)],[c_0_29,c_0_119]) ).
cnf(c_0_129,plain,
product(difference(c1,b1),b1) = product(b1,a2),
inference(rw,[status(thm)],[c_0_120,c_0_37]) ).
cnf(c_0_130,plain,
product(difference(c1,b),b) = product(b,a),
inference(rw,[status(thm)],[c_0_121,c_0_37]) ).
cnf(c_0_131,plain,
quotient(product(quotient(X1,X2),X3),X1) = quotient(product(X1,X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_122]) ).
cnf(c_0_132,plain,
quotient(product(product(X1,X2),X3),X2) = product(X1,quotient(X3,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_123]) ).
cnf(c_0_133,plain,
quotient(difference(X1,product(X2,X3)),X3) = difference(quotient(X1,X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_124]) ).
cnf(c_0_134,plain,
difference(difference(X1,X2),X2) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_73]) ).
cnf(c_0_135,plain,
product(difference(c,b),c1) = product(a,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_107]),c_0_29]) ).
cnf(c_0_136,plain,
product(difference(a1,b),a1) = difference(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_126]),c_0_42]) ).
cnf(c_0_137,plain,
quotient(c1,product(c1,b2)) = product(a1,c1),
inference(spm,[status(thm)],[c_0_23,c_0_127]) ).
cnf(c_0_138,plain,
d(a,b1,c),
inference(split_conjunct,[status(thm)],[sos11]) ).
cnf(c_0_139,plain,
product(product(b1,X1),c1) = product(a2,product(X1,b1)),
inference(spm,[status(thm)],[c_0_52,c_0_128]) ).
cnf(c_0_140,plain,
product(b1,quotient(a2,b1)) = difference(c1,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_129]),c_0_32]) ).
cnf(c_0_141,plain,
product(b,quotient(a,b)) = difference(c1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_130]),c_0_32]) ).
cnf(c_0_142,plain,
quotient(product(X1,quotient(X2,X1)),X2) = difference(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_55]),c_0_23]) ).
cnf(c_0_143,plain,
quotient(product(X1,X2),product(X1,X3)) = product(X1,quotient(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_23]),c_0_132]) ).
cnf(c_0_144,plain,
quotient(quotient(product(X1,X2),X3),X2) = quotient(X1,quotient(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_133]),c_0_134]) ).
cnf(c_0_145,plain,
quotient(product(a,a1),c1) = difference(c,b),
inference(spm,[status(thm)],[c_0_23,c_0_135]) ).
cnf(c_0_146,plain,
quotient(difference(c,b),a1) = difference(a1,b),
inference(spm,[status(thm)],[c_0_23,c_0_136]) ).
cnf(c_0_147,plain,
product(difference(b2,a1),a1) = product(c1,difference(b2,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_108]),c_0_34]) ).
cnf(c_0_148,plain,
product(c1,difference(b2,a1)) = product(a1,c1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_51]),c_0_98]) ).
cnf(c_0_149,plain,
product(a,b1) = product(b1,c),
inference(spm,[status(thm)],[c_0_47,c_0_138]) ).
cnf(c_0_150,plain,
product(difference(c1,b1),c1) = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_29]),c_0_18]) ).
cnf(c_0_151,plain,
product(difference(c1,b),c1) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_141]),c_0_29]),c_0_18]) ).
cnf(c_0_152,plain,
difference(product(X1,X2),product(X1,X3)) = product(X1,difference(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_113]),c_0_143]),c_0_142]) ).
cnf(c_0_153,plain,
quotient(a,quotient(c1,a1)) = difference(a1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_154,plain,
product(difference(b2,a1),a1) = product(a1,c1),
inference(rw,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_155,plain,
product(product(X1,a),product(X2,b1)) = product(product(X1,X2),product(b1,c)),
inference(spm,[status(thm)],[c_0_17,c_0_149]) ).
cnf(c_0_156,plain,
product(c1,a2) = product(b1,c1),
inference(spm,[status(thm)],[c_0_38,c_0_150]) ).
cnf(c_0_157,plain,
product(c1,a) = product(b,c1),
inference(spm,[status(thm)],[c_0_38,c_0_151]) ).
cnf(c_0_158,plain,
product(quotient(X1,X2),difference(X1,X3)) = product(quotient(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_59]),c_0_112]) ).
cnf(c_0_159,plain,
product(X1,difference(difference(X1,X2),X3)) = difference(X2,product(X1,X3)),
inference(spm,[status(thm)],[c_0_152,c_0_34]) ).
cnf(c_0_160,plain,
difference(difference(a1,b),a) = quotient(c1,a1),
inference(spm,[status(thm)],[c_0_41,c_0_153]) ).
cnf(c_0_161,plain,
product(a1,quotient(c1,a1)) = difference(b2,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_154]),c_0_32]) ).
cnf(c_0_162,plain,
quotient(product(b,c1),a) = product(a,quotient(b,a)),
inference(spm,[status(thm)],[c_0_32,c_0_78]) ).
cnf(c_0_163,plain,
difference(X1,product(X2,product(X1,X3))) = product(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_164,plain,
product(a,product(b1,b)) = product(b1,product(c1,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_81]),c_0_20]),c_0_125]),c_0_113]) ).
cnf(c_0_165,plain,
product(quotient(X1,difference(X2,X3)),X3) = product(X2,difference(X3,X1)),
inference(spm,[status(thm)],[c_0_158,c_0_36]) ).
cnf(c_0_166,plain,
difference(b,product(a1,a)) = difference(b2,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).
cnf(c_0_167,plain,
quotient(product(X1,X2),difference(X3,X1)) = quotient(product(X3,X2),X1),
inference(spm,[status(thm)],[c_0_131,c_0_36]) ).
cnf(c_0_168,plain,
product(a,quotient(b,a)) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_157]),c_0_162]) ).
cnf(c_0_169,plain,
product(difference(b1,a),b) = product(c1,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_26]) ).
cnf(c_0_170,plain,
quotient(product(X1,difference(X2,X3)),X2) = quotient(X3,difference(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_165]) ).
cnf(c_0_171,plain,
product(X1,difference(X2,product(X3,X1))) = product(X3,difference(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_20]),c_0_76]) ).
cnf(c_0_172,plain,
quotient(product(b2,a),a1) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_166]),c_0_167]) ).
cnf(c_0_173,plain,
quotient(b,product(b,a)) = product(c1,b),
inference(spm,[status(thm)],[c_0_23,c_0_111]) ).
cnf(c_0_174,plain,
quotient(b,a) = difference(a,c1),
inference(spm,[status(thm)],[c_0_26,c_0_168]) ).
cnf(c_0_175,plain,
quotient(product(c1,c),b) = difference(b1,a),
inference(spm,[status(thm)],[c_0_23,c_0_169]) ).
cnf(c_0_176,plain,
quotient(product(X1,X2),difference(X2,X3)) = quotient(X2,difference(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_170]) ).
cnf(c_0_177,plain,
product(b2,a) = product(b,a1),
inference(spm,[status(thm)],[c_0_29,c_0_172]) ).
cnf(c_0_178,plain,
product(b,difference(a,c1)) = product(c1,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_51]),c_0_174]) ).
cnf(c_0_179,plain,
difference(X1,product(X2,difference(X3,X1))) = difference(X3,product(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_171]) ).
cnf(c_0_180,plain,
product(b,difference(b1,a)) = product(a,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_175]),c_0_135]) ).
cnf(c_0_181,plain,
quotient(X1,difference(X2,product(X1,X3))) = quotient(product(X2,X1),X3),
inference(spm,[status(thm)],[c_0_176,c_0_26]) ).
cnf(c_0_182,plain,
difference(b2,product(b,a1)) = a,
inference(spm,[status(thm)],[c_0_26,c_0_177]) ).
cnf(c_0_183,plain,
product(difference(b,c1),b) = difference(a,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_178]),c_0_42]) ).
cnf(c_0_184,plain,
difference(b1,product(b,a)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_26]) ).
cnf(c_0_185,plain,
quotient(product(b2,b),a1) = difference(a,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_174]) ).
cnf(c_0_186,plain,
quotient(difference(a,c1),b) = difference(b,c1),
inference(spm,[status(thm)],[c_0_23,c_0_183]) ).
cnf(c_0_187,plain,
product(b,a) = product(b1,a1),
inference(spm,[status(thm)],[c_0_34,c_0_184]) ).
cnf(c_0_188,plain,
quotient(b2,quotient(a1,b)) = difference(b,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_185]),c_0_186]) ).
cnf(c_0_189,plain,
quotient(product(b1,a1),b) = difference(c1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_187]),c_0_141]) ).
cnf(c_0_190,plain,
difference(difference(b,c1),b2) = quotient(a1,b),
inference(spm,[status(thm)],[c_0_41,c_0_188]) ).
cnf(c_0_191,plain,
product(quotient(b1,b),a1) = product(difference(c1,b),b1),
inference(spm,[status(thm)],[c_0_122,c_0_189]) ).
cnf(c_0_192,plain,
difference(c1,product(b,b2)) = difference(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_190]),c_0_107]) ).
cnf(c_0_193,plain,
product(b,product(b1,c1)) = product(b1,product(a1,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_191]),c_0_62]) ).
cnf(c_0_194,plain,
quotient(product(c,b2),b) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_192]),c_0_167]) ).
cnf(c_0_195,plain,
product(difference(b1,b),c1) = product(a1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_193]),c_0_26]) ).
fof(c_0_196,plain,
! [X11,X12,X13,X11,X12,X13] :
( ( ~ m(X11,X12,X13)
| product(product(X11,X12),product(X12,X13)) = product(X11,X13) )
& ( product(product(X11,X12),product(X12,X13)) != product(X11,X13)
| m(X11,X12,X13) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos09])])])]) ).
cnf(c_0_197,plain,
product(c,b2) = product(c1,b),
inference(spm,[status(thm)],[c_0_29,c_0_194]) ).
cnf(c_0_198,plain,
difference(difference(b1,b),product(a1,b)) = c1,
inference(spm,[status(thm)],[c_0_26,c_0_195]) ).
cnf(c_0_199,plain,
( m(X1,X2,X3)
| product(product(X1,X2),product(X2,X3)) != product(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_200,plain,
product(product(X1,product(X1,product(X1,X2))),product(product(X1,product(X1,X2)),product(product(X1,product(X1,X2)),product(product(X2,X1),X1)))) = product(X1,product(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_27]) ).
cnf(c_0_201,plain,
difference(c,product(c1,b)) = b2,
inference(spm,[status(thm)],[c_0_26,c_0_197]) ).
cnf(c_0_202,plain,
product(a1,quotient(b,b1)) = product(b,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_198]),c_0_134]) ).
cnf(c_0_203,plain,
( m(X1,product(X2,X3),product(X4,X5))
| product(product(X1,product(X2,X3)),product(product(X2,X4),product(X3,X5))) != product(X1,product(X4,X5)) ),
inference(spm,[status(thm)],[c_0_199,c_0_17]) ).
cnf(c_0_204,plain,
product(product(X1,product(X1,X2)),product(product(X1,product(X1,X2)),product(product(X2,X1),X1))) = product(X1,product(X2,product(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_200]),c_0_37]),c_0_26]),c_0_113]) ).
cnf(c_0_205,plain,
difference(difference(b,a1),c1) = quotient(b2,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_201]),c_0_69]) ).
cnf(c_0_206,plain,
difference(a1,product(b,c1)) = quotient(b,b1),
inference(spm,[status(thm)],[c_0_26,c_0_202]) ).
cnf(c_0_207,plain,
( m(X1,X2,product(X3,X2))
| product(product(X1,product(X2,X3)),X2) != product(X1,product(X3,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_20]),c_0_18]),c_0_18]) ).
fof(c_0_208,negated_conjecture,
~ m(b1,b,b2),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_209,plain,
difference(X1,product(difference(X2,X1),X3)) = quotient(product(X3,X2),X1),
inference(spm,[status(thm)],[c_0_26,c_0_114]) ).
cnf(c_0_210,plain,
product(product(X1,X2),product(X2,X1)) = product(X2,product(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_204]),c_0_26]),c_0_76]),c_0_42]),c_0_42]),c_0_43]),c_0_51]),c_0_113]),c_0_83]) ).
cnf(c_0_211,plain,
product(b,quotient(b2,b)) = quotient(b,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_205]),c_0_206]) ).
cnf(c_0_212,plain,
( m(X1,X2,X3)
| product(product(X1,product(X2,quotient(X3,X2))),X2) != product(X1,X3) ),
inference(spm,[status(thm)],[c_0_207,c_0_29]) ).
cnf(c_0_213,plain,
product(X1,product(X2,quotient(X1,X3))) = product(product(X3,X2),X1),
inference(spm,[status(thm)],[c_0_62,c_0_41]) ).
fof(c_0_214,negated_conjecture,
~ m(b1,b,b2),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
cnf(c_0_215,plain,
quotient(product(X1,quotient(X2,X3)),X2) = difference(X2,product(X3,X1)),
inference(spm,[status(thm)],[c_0_209,c_0_41]) ).
cnf(c_0_216,plain,
product(b2,quotient(b,b1)) = product(b,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_29]),c_0_29]) ).
cnf(c_0_217,plain,
( m(X1,b,b2)
| product(product(X1,quotient(b,b1)),b) != product(X1,b2) ),
inference(spm,[status(thm)],[c_0_212,c_0_211]) ).
cnf(c_0_218,plain,
product(product(X1,quotient(X2,X1)),X2) = product(X2,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_213,c_0_18]) ).
cnf(c_0_219,negated_conjecture,
~ m(b1,b,b2),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_220,plain,
difference(b,product(b1,b2)) = quotient(b,b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_32]),c_0_211]) ).
cnf(c_0_221,plain,
product(b,quotient(b,b1)) != product(b1,b2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]) ).
cnf(c_0_222,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_220]),c_0_221]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP778+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 04:19:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: CPU time limit exceeded, terminating
% 0.44/32.61 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.44/32.61
% 0.44/32.61 # Failure: Resource limit exceeded (time)
% 0.44/32.61 # OLD status Res
% 0.44/32.61 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.44/32.61 # Preprocessing time : 0.014 s
% 0.44/32.61 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.44/32.61 # Preprocessing time : 0.007 s
% 0.44/32.61
% 0.44/32.61 # Proof found!
% 0.44/32.61 # SZS status Theorem
% 0.44/32.61 # SZS output start CNFRefutation
% See solution above
% 0.44/32.61 # Proof object total steps : 223
% 0.44/32.61 # Proof object clause steps : 197
% 0.44/32.61 # Proof object formula steps : 26
% 0.44/32.61 # Proof object conjectures : 4
% 0.44/32.61 # Proof object clause conjectures : 1
% 0.44/32.61 # Proof object formula conjectures : 3
% 0.44/32.61 # Proof object initial clauses used : 15
% 0.44/32.61 # Proof object initial formulas used : 15
% 0.44/32.61 # Proof object generating inferences : 170
% 0.44/32.61 # Proof object simplifying inferences : 129
% 0.44/32.61 # Training examples: 0 positive, 0 negative
% 0.44/32.61 # Parsed axioms : 16
% 0.44/32.61 # Removed by relevancy pruning/SinE : 0
% 0.44/32.61 # Initial clauses : 18
% 0.44/32.61 # Removed in clause preprocessing : 0
% 0.44/32.61 # Initial clauses in saturation : 18
% 0.44/32.61 # Processed clauses : 7305
% 0.44/32.61 # ...of these trivial : 691
% 0.44/32.61 # ...subsumed : 3150
% 0.44/32.61 # ...remaining for further processing : 3464
% 0.44/32.61 # Other redundant clauses eliminated : 14
% 0.44/32.61 # Clauses deleted for lack of memory : 297786
% 0.44/32.61 # Backward-subsumed : 68
% 0.44/32.61 # Backward-rewritten : 645
% 0.44/32.61 # Generated clauses : 443508
% 0.44/32.61 # ...of the previous two non-trivial : 427553
% 0.44/32.61 # Contextual simplify-reflections : 193
% 0.44/32.61 # Paramodulations : 443494
% 0.44/32.61 # Factorizations : 0
% 0.44/32.61 # Equation resolutions : 14
% 0.44/32.61 # Current number of processed clauses : 2751
% 0.44/32.61 # Positive orientable unit clauses : 979
% 0.44/32.61 # Positive unorientable unit clauses: 12
% 0.44/32.61 # Negative unit clauses : 2
% 0.44/32.61 # Non-unit-clauses : 1758
% 0.44/32.61 # Current number of unprocessed clauses: 74860
% 0.44/32.61 # ...number of literals in the above : 110422
% 0.44/32.61 # Current number of archived formulas : 0
% 0.44/32.61 # Current number of archived clauses : 713
% 0.44/32.61 # Clause-clause subsumption calls (NU) : 161866
% 0.44/32.61 # Rec. Clause-clause subsumption calls : 157547
% 0.44/32.61 # Non-unit clause-clause subsumptions : 3393
% 0.44/32.61 # Unit Clause-clause subsumption calls : 2501
% 0.44/32.61 # Rewrite failures with RHS unbound : 0
% 0.44/32.61 # BW rewrite match attempts : 6215
% 0.44/32.61 # BW rewrite match successes : 342
% 0.44/32.61 # Condensation attempts : 0
% 0.44/32.61 # Condensation successes : 0
% 0.44/32.61 # Termbank termtop insertions : 20190181
% 0.44/32.61
% 0.44/32.61 # -------------------------------------------------
% 0.44/32.61 # User time : 8.595 s
% 0.44/32.61 # System time : 0.111 s
% 0.44/32.61 # Total time : 8.706 s
% 0.44/32.61 # Maximum resident set size: 148652 pages
% 0.44/46.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.44 eprover: CPU time limit exceeded, terminating
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: CPU time limit exceeded, terminating
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.49 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.50 eprover: No such file or directory
% 0.44/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.51 eprover: No such file or directory
%------------------------------------------------------------------------------