TSTP Solution File: GRP779+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP779+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 : 300s
% DateTime : Thu Aug 31 00:23:42 EDT 2023
% Result : Theorem 20.44s 20.52s
% Output : CNFRefutation 20.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 29
% Syntax : Number of formulae : 241 ( 221 unt; 14 typ; 0 def)
% Number of atoms : 237 ( 215 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 6 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 5 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn; 42 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
product: ( $i * $i ) > $i ).
tff(decl_23,type,
difference: ( $i * $i ) > $i ).
tff(decl_24,type,
quotient: ( $i * $i ) > $i ).
tff(decl_25,type,
d: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
m: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
b: $i ).
tff(decl_28,type,
bigA: $i ).
tff(decl_29,type,
c: $i ).
tff(decl_30,type,
bigB: $i ).
tff(decl_31,type,
a: $i ).
tff(decl_32,type,
bigC: $i ).
tff(decl_33,type,
b1: $i ).
tff(decl_34,type,
c1: $i ).
tff(decl_35,type,
a1: $i ).
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/benchmark/theBenchmark.p',sos05) ).
fof(sos06,axiom,
! [X2] : product(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).
fof(sos03,axiom,
! [X1,X2] : quotient(product(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
fof(sos04,axiom,
! [X1,X2] : product(quotient(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).
fof(sos08,axiom,
! [X5,X6,X7] :
( d(X5,X6,X7)
<=> product(X5,X6) = product(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos08) ).
fof(sos10,axiom,
d(b,bigA,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
fof(sos01,axiom,
! [X1,X2] : difference(X2,product(X2,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
fof(sos02,axiom,
! [X1,X2] : product(X2,difference(X2,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
fof(sos15,axiom,
d(a1,b1,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos15) ).
fof(sos14,axiom,
d(a1,b,c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos14) ).
fof(sos12,axiom,
d(b,a,bigC),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).
fof(sos07,axiom,
! [X1,X2] : product(product(product(X2,X1),X1),product(X1,product(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).
fof(sos13,axiom,
d(a,b1,c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).
fof(sos09,axiom,
! [X8,X9,X10] :
( m(X8,X9,X10)
<=> product(product(X8,X9),product(X9,X10)) = product(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).
fof(goals,conjecture,
m(bigA,b1,bigC),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(c_0_15,plain,
! [X19,X20,X21,X22] : product(product(X22,X21),product(X20,X19)) = product(product(X22,X20),product(X21,X19)),
inference(variable_rename,[status(thm)],[sos05]) ).
fof(c_0_16,plain,
! [X23] : product(X23,X23) = X23,
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,
! [X15,X16] : quotient(product(X16,X15),X15) = X16,
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]) ).
cnf(c_0_21,plain,
quotient(product(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
fof(c_0_23,plain,
! [X17,X18] : product(quotient(X18,X17),X17) = X18,
inference(variable_rename,[status(thm)],[sos04]) ).
fof(c_0_24,plain,
! [X26,X27,X28] :
( ( ~ d(X26,X27,X28)
| product(X26,X27) = product(X27,X28) )
& ( product(X26,X27) != product(X27,X28)
| d(X26,X27,X28) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos08])]) ).
cnf(c_0_25,plain,
quotient(product(X1,product(X2,X1)),X1) = product(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
product(quotient(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
d(b,bigA,c),
inference(split_conjunct,[status(thm)],[sos10]) ).
fof(c_0_29,plain,
! [X11,X12] : difference(X12,product(X12,X11)) = X11,
inference(variable_rename,[status(thm)],[sos01]) ).
cnf(c_0_30,plain,
quotient(product(X1,X2),X1) = product(X1,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
product(bigA,c) = product(b,bigA),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X13,X14] : product(X14,difference(X14,X13)) = X13,
inference(variable_rename,[status(thm)],[sos02]) ).
cnf(c_0_33,plain,
difference(X1,product(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
product(bigA,quotient(c,bigA)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21]) ).
cnf(c_0_35,plain,
product(X1,difference(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
quotient(c,bigA) = difference(bigA,b),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
product(product(X1,X2),product(difference(X1,X3),X4)) = product(X3,product(X2,X4)),
inference(spm,[status(thm)],[c_0_17,c_0_35]) ).
cnf(c_0_38,plain,
product(difference(bigA,b),bigA) = c,
inference(spm,[status(thm)],[c_0_26,c_0_36]) ).
cnf(c_0_39,plain,
d(a1,b1,c),
inference(split_conjunct,[status(thm)],[sos15]) ).
cnf(c_0_40,plain,
d(a1,b,c1),
inference(split_conjunct,[status(thm)],[sos14]) ).
cnf(c_0_41,plain,
product(product(bigA,X1),c) = product(b,product(X1,bigA)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
d(b,a,bigC),
inference(split_conjunct,[status(thm)],[sos12]) ).
cnf(c_0_43,plain,
product(a1,b1) = product(b1,c),
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
cnf(c_0_44,plain,
product(a1,b) = product(b,c1),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
fof(c_0_45,plain,
! [X24,X25] : product(product(product(X25,X24),X24),product(X24,product(X24,X25))) = X24,
inference(variable_rename,[status(thm)],[sos07]) ).
cnf(c_0_46,plain,
product(b,product(difference(bigA,X1),bigA)) = product(X1,c),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_47,plain,
product(X1,quotient(difference(X1,X2),X1)) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_48,plain,
product(a,bigC) = product(b,a),
inference(spm,[status(thm)],[c_0_27,c_0_42]) ).
cnf(c_0_49,plain,
d(a,b1,c1),
inference(split_conjunct,[status(thm)],[sos13]) ).
cnf(c_0_50,plain,
quotient(product(b1,c),b1) = a1,
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_51,plain,
quotient(product(b,c1),b) = a1,
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_52,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
difference(b,product(X1,c)) = product(difference(bigA,X1),bigA),
inference(spm,[status(thm)],[c_0_33,c_0_46]) ).
cnf(c_0_54,plain,
product(quotient(X1,bigA),c) = product(b,difference(bigA,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_26]) ).
cnf(c_0_55,plain,
product(a,quotient(bigC,a)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_21]) ).
cnf(c_0_56,plain,
product(b1,c1) = product(a,b1),
inference(spm,[status(thm)],[c_0_27,c_0_49]) ).
cnf(c_0_57,plain,
product(b1,quotient(c,b1)) = a1,
inference(rw,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_58,plain,
product(b,quotient(c1,b)) = a1,
inference(rw,[status(thm)],[c_0_51,c_0_30]) ).
cnf(c_0_59,plain,
difference(product(product(X1,X2),X2),X2) = product(X2,product(X2,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_52]) ).
cnf(c_0_60,plain,
product(difference(bigA,quotient(X1,bigA)),bigA) = difference(bigA,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_33]) ).
cnf(c_0_61,plain,
quotient(bigC,a) = difference(a,b),
inference(spm,[status(thm)],[c_0_33,c_0_55]) ).
cnf(c_0_62,plain,
product(b1,quotient(c1,b1)) = a,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_56]),c_0_21]) ).
cnf(c_0_63,plain,
quotient(c,b1) = difference(b1,a1),
inference(spm,[status(thm)],[c_0_33,c_0_57]) ).
cnf(c_0_64,plain,
quotient(c1,b) = difference(b,a1),
inference(spm,[status(thm)],[c_0_33,c_0_58]) ).
cnf(c_0_65,plain,
product(X1,product(difference(X1,X2),X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_66,plain,
difference(product(difference(bigA,X1),bigA),bigA) = product(bigA,quotient(X1,bigA)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_35]) ).
cnf(c_0_67,plain,
product(difference(a,b),a) = bigC,
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_68,plain,
quotient(c1,b1) = difference(b1,a),
inference(spm,[status(thm)],[c_0_33,c_0_62]) ).
cnf(c_0_69,plain,
product(difference(b1,a1),b1) = c,
inference(spm,[status(thm)],[c_0_26,c_0_63]) ).
cnf(c_0_70,plain,
product(difference(b,a1),b) = c1,
inference(spm,[status(thm)],[c_0_26,c_0_64]) ).
cnf(c_0_71,plain,
product(product(difference(bigA,X1),bigA),X1) = product(X1,bigA),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_37]),c_0_26]),c_0_18]),c_0_65]) ).
cnf(c_0_72,plain,
product(product(a,X1),bigC) = product(b,product(X1,a)),
inference(spm,[status(thm)],[c_0_37,c_0_67]) ).
cnf(c_0_73,plain,
difference(X1,product(X2,X1)) = product(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_33,c_0_65]) ).
cnf(c_0_74,plain,
product(difference(b1,a),b1) = c1,
inference(spm,[status(thm)],[c_0_26,c_0_68]) ).
cnf(c_0_75,plain,
product(product(b1,X1),c) = product(a1,product(X1,b1)),
inference(spm,[status(thm)],[c_0_37,c_0_69]) ).
cnf(c_0_76,plain,
product(product(b,X1),c1) = product(a1,product(X1,b)),
inference(spm,[status(thm)],[c_0_37,c_0_70]) ).
cnf(c_0_77,plain,
product(X1,quotient(bigA,X1)) = product(difference(bigA,X1),bigA),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_71]),c_0_30]) ).
cnf(c_0_78,plain,
product(quotient(X1,a),bigC) = product(b,difference(a,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_47]),c_0_26]) ).
cnf(c_0_79,plain,
product(difference(b1,difference(b1,a)),b1) = difference(b1,c1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
product(a1,product(difference(b1,X1),b1)) = product(X1,c),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_81,plain,
product(product(b1,X1),c1) = product(a,product(X1,b1)),
inference(spm,[status(thm)],[c_0_37,c_0_74]) ).
cnf(c_0_82,plain,
product(a1,bigA) = product(c,c1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_38]),c_0_26]) ).
cnf(c_0_83,plain,
product(product(X1,a),product(X2,bigC)) = product(product(X1,X2),product(b,a)),
inference(spm,[status(thm)],[c_0_17,c_0_48]) ).
cnf(c_0_84,plain,
product(difference(a,b),bigC) = product(b,difference(a,bigC)),
inference(spm,[status(thm)],[c_0_78,c_0_61]) ).
cnf(c_0_85,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_86,plain,
product(product(difference(b1,c1),b1),a) = b1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_79]),c_0_35]),c_0_35]) ).
cnf(c_0_87,plain,
product(product(a1,c1),product(c1,b)) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_76]),c_0_20]) ).
cnf(c_0_88,plain,
product(a1,c1) = product(a,c),
inference(spm,[status(thm)],[c_0_80,c_0_74]) ).
cnf(c_0_89,plain,
product(product(a,c1),product(c1,b1)) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_81]),c_0_20]) ).
cnf(c_0_90,plain,
difference(a1,product(X1,c)) = product(difference(b1,X1),b1),
inference(spm,[status(thm)],[c_0_33,c_0_80]) ).
cnf(c_0_91,plain,
product(quotient(X1,b1),c) = product(a1,difference(b1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_26]) ).
cnf(c_0_92,plain,
product(product(difference(bigA,b1),bigA),c) = product(c,c1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_77]),c_0_26]),c_0_82]) ).
cnf(c_0_93,plain,
difference(a1,product(c,c1)) = bigA,
inference(spm,[status(thm)],[c_0_33,c_0_82]) ).
cnf(c_0_94,plain,
product(b,product(difference(a,bigC),a)) = bigC,
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_67]),c_0_18]),c_0_18]),c_0_85]) ).
cnf(c_0_95,plain,
product(difference(b1,c1),b1) = quotient(b1,a),
inference(spm,[status(thm)],[c_0_21,c_0_86]) ).
cnf(c_0_96,plain,
product(a,product(difference(b1,X1),b1)) = product(X1,c1),
inference(spm,[status(thm)],[c_0_81,c_0_35]) ).
cnf(c_0_97,plain,
difference(product(X1,X2),product(product(X1,X3),product(X2,X4))) = product(X3,X4),
inference(spm,[status(thm)],[c_0_33,c_0_17]) ).
cnf(c_0_98,plain,
product(product(a,c),product(c1,b)) = c1,
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,plain,
difference(product(a,c1),c1) = product(c1,b1),
inference(spm,[status(thm)],[c_0_33,c_0_89]) ).
cnf(c_0_100,plain,
product(difference(bigA,difference(bigA,b)),bigA) = difference(bigA,c),
inference(spm,[status(thm)],[c_0_73,c_0_38]) ).
cnf(c_0_101,plain,
product(difference(b1,quotient(X1,b1)),b1) = difference(b1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_33]) ).
cnf(c_0_102,plain,
product(difference(b1,product(difference(bigA,b1),bigA)),b1) = bigA,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_92]),c_0_93]) ).
cnf(c_0_103,plain,
product(product(X1,X2),product(X2,product(X2,quotient(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_52,c_0_26]) ).
cnf(c_0_104,plain,
product(difference(a,bigC),a) = difference(b,bigC),
inference(spm,[status(thm)],[c_0_33,c_0_94]) ).
cnf(c_0_105,plain,
quotient(difference(X1,X2),X1) = difference(X1,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_106,plain,
product(difference(b1,difference(b1,c1)),b1) = difference(b1,quotient(b1,a)),
inference(spm,[status(thm)],[c_0_73,c_0_95]) ).
cnf(c_0_107,plain,
product(a,quotient(b1,a)) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_95]),c_0_18]) ).
cnf(c_0_108,plain,
product(b1,quotient(b1,a)) = product(c1,b1),
inference(spm,[status(thm)],[c_0_65,c_0_95]) ).
cnf(c_0_109,plain,
product(c1,b1) = product(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_110,plain,
product(product(difference(bigA,c),bigA),b) = bigA,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_100]),c_0_35]),c_0_35]) ).
cnf(c_0_111,plain,
difference(product(difference(b1,X1),b1),b1) = product(b1,quotient(X1,b1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_101]),c_0_35]) ).
cnf(c_0_112,plain,
difference(b1,product(difference(bigA,b1),bigA)) = quotient(bigA,b1),
inference(spm,[status(thm)],[c_0_21,c_0_102]) ).
cnf(c_0_113,plain,
product(difference(b,bigC),b) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_61]),c_0_35]),c_0_35]) ).
cnf(c_0_114,plain,
product(product(difference(b1,quotient(b1,a)),b1),c1) = b1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_106]),c_0_35]),c_0_35]) ).
cnf(c_0_115,plain,
quotient(b1,a) = difference(a,c1),
inference(spm,[status(thm)],[c_0_33,c_0_107]) ).
cnf(c_0_116,plain,
product(b1,quotient(b1,a)) = product(c,b),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,plain,
product(difference(bigA,c),bigA) = quotient(bigA,b),
inference(spm,[status(thm)],[c_0_21,c_0_110]) ).
cnf(c_0_118,plain,
product(b1,quotient(product(difference(bigA,b1),bigA),b1)) = difference(bigA,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_26]) ).
cnf(c_0_119,plain,
product(bigC,b) = product(b,a),
inference(spm,[status(thm)],[c_0_65,c_0_113]) ).
cnf(c_0_120,plain,
difference(bigC,product(b,a)) = product(difference(bigC,a),bigC),
inference(spm,[status(thm)],[c_0_73,c_0_48]) ).
cnf(c_0_121,plain,
product(difference(b1,quotient(b1,a)),b1) = quotient(b1,c1),
inference(spm,[status(thm)],[c_0_21,c_0_114]) ).
cnf(c_0_122,plain,
product(difference(a,c1),a) = b1,
inference(spm,[status(thm)],[c_0_26,c_0_115]) ).
cnf(c_0_123,plain,
product(b1,difference(a,c1)) = product(c,b),
inference(rw,[status(thm)],[c_0_116,c_0_115]) ).
cnf(c_0_124,plain,
product(b,quotient(bigA,b)) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_117]),c_0_18]) ).
cnf(c_0_125,plain,
product(difference(X1,quotient(X2,X1)),X1) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_26]) ).
cnf(c_0_126,plain,
quotient(product(difference(bigA,b1),bigA),b1) = difference(b1,difference(bigA,b1)),
inference(spm,[status(thm)],[c_0_33,c_0_118]) ).
cnf(c_0_127,plain,
product(difference(bigC,a),bigC) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_119]),c_0_120]) ).
cnf(c_0_128,plain,
product(a,quotient(b1,c1)) = product(difference(a,c1),c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_121]),c_0_115]) ).
cnf(c_0_129,plain,
product(difference(a,c1),c1) = product(c,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_122]),c_0_35]),c_0_123]) ).
cnf(c_0_130,plain,
quotient(bigA,b) = difference(b,c),
inference(spm,[status(thm)],[c_0_33,c_0_124]) ).
cnf(c_0_131,plain,
product(difference(b1,difference(b1,difference(bigA,b1))),b1) = quotient(bigA,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_112]) ).
cnf(c_0_132,plain,
product(product(bigC,X1),b) = product(a,product(X1,bigC)),
inference(spm,[status(thm)],[c_0_37,c_0_127]) ).
cnf(c_0_133,plain,
product(a,quotient(b1,c1)) = product(c,b),
inference(rw,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,plain,
product(difference(b,c),b) = bigA,
inference(spm,[status(thm)],[c_0_26,c_0_130]) ).
cnf(c_0_135,plain,
product(difference(b1,difference(bigA,b1)),b1) = product(difference(bigA,b1),bigA),
inference(spm,[status(thm)],[c_0_26,c_0_126]) ).
cnf(c_0_136,plain,
quotient(difference(bigA,b1),b1) = difference(quotient(bigA,b1),b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_131]),c_0_105]),c_0_35]) ).
cnf(c_0_137,plain,
product(b1,product(b1,quotient(X1,b1))) = difference(product(X1,b1),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_33]),c_0_30]) ).
cnf(c_0_138,plain,
product(product(difference(b1,X1),b1),X1) = product(X1,b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_111]),c_0_37]),c_0_26]),c_0_18]),c_0_65]) ).
cnf(c_0_139,plain,
product(product(c1,b1),product(b1,a)) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_74]),c_0_35]) ).
cnf(c_0_140,plain,
product(a,product(difference(bigC,X1),bigC)) = product(X1,b),
inference(spm,[status(thm)],[c_0_132,c_0_35]) ).
cnf(c_0_141,plain,
difference(a,product(c,b)) = quotient(b1,c1),
inference(spm,[status(thm)],[c_0_33,c_0_133]) ).
cnf(c_0_142,plain,
product(c,b) = product(b,bigA),
inference(spm,[status(thm)],[c_0_65,c_0_134]) ).
cnf(c_0_143,plain,
product(b1,difference(quotient(bigA,b1),b1)) = difference(product(difference(bigA,b1),bigA),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_135]),c_0_136]) ).
cnf(c_0_144,plain,
product(difference(bigA,X1),quotient(X1,bigA)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_125]),c_0_26]) ).
cnf(c_0_145,plain,
quotient(difference(product(X1,b1),b1),b1) = difference(X1,b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_137]),c_0_30]),c_0_137]),c_0_26]) ).
cnf(c_0_146,plain,
product(product(b,X1),bigA) = product(c,product(X1,b)),
inference(spm,[status(thm)],[c_0_37,c_0_134]) ).
cnf(c_0_147,plain,
product(X1,quotient(b1,X1)) = product(difference(b1,X1),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_138]),c_0_30]) ).
cnf(c_0_148,plain,
product(product(b,X1),a) = product(bigC,product(X1,b)),
inference(spm,[status(thm)],[c_0_37,c_0_113]) ).
cnf(c_0_149,plain,
product(product(c,b),product(b1,a)) = b1,
inference(rw,[status(thm)],[c_0_139,c_0_109]) ).
cnf(c_0_150,plain,
difference(a,product(X1,b)) = product(difference(bigC,X1),bigC),
inference(spm,[status(thm)],[c_0_33,c_0_140]) ).
cnf(c_0_151,plain,
difference(a,product(b,bigA)) = quotient(b1,c1),
inference(rw,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_152,plain,
difference(b1,difference(product(difference(bigA,b1),bigA),b1)) = difference(quotient(bigA,b1),b1),
inference(spm,[status(thm)],[c_0_33,c_0_143]) ).
cnf(c_0_153,plain,
product(difference(quotient(bigA,b1),b1),b1) = difference(bigA,b1),
inference(spm,[status(thm)],[c_0_26,c_0_136]) ).
cnf(c_0_154,plain,
difference(difference(bigA,X1),X1) = quotient(X1,bigA),
inference(spm,[status(thm)],[c_0_33,c_0_144]) ).
cnf(c_0_155,plain,
difference(product(X1,b1),b1) = product(difference(X1,b1),b1),
inference(spm,[status(thm)],[c_0_26,c_0_145]) ).
cnf(c_0_156,plain,
difference(product(X1,a),product(product(X1,X2),product(b,a))) = product(X2,bigC),
inference(spm,[status(thm)],[c_0_97,c_0_48]) ).
cnf(c_0_157,plain,
product(product(difference(b1,b),b1),bigA) = product(c,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_26]) ).
cnf(c_0_158,plain,
product(product(difference(b1,b),b1),a) = product(bigC,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_147]),c_0_26]) ).
cnf(c_0_159,plain,
product(product(b,b1),product(bigA,a)) = b1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_142]),c_0_17]) ).
cnf(c_0_160,plain,
product(difference(bigC,c),bigC) = quotient(b1,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_142]),c_0_151]) ).
cnf(c_0_161,plain,
product(b1,quotient(difference(product(difference(bigA,b1),bigA),b1),b1)) = quotient(b1,bigA),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_162,plain,
product(difference(quotient(X1,b1),b1),b1) = difference(X1,b1),
inference(spm,[status(thm)],[c_0_155,c_0_26]) ).
cnf(c_0_163,plain,
quotient(X1,difference(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_21,c_0_35]) ).
cnf(c_0_164,plain,
product(difference(b1,X1),quotient(X1,b1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_101]),c_0_26]) ).
cnf(c_0_165,plain,
product(difference(bigC,b1),b1) = product(bigA,bigC),
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_156,c_0_157]),c_0_158]),c_0_17]),c_0_142]),c_0_17]),c_0_159]),c_0_155]) ).
cnf(c_0_166,plain,
product(difference(bigC,difference(bigC,c)),bigC) = difference(bigC,quotient(b1,c1)),
inference(spm,[status(thm)],[c_0_73,c_0_160]) ).
cnf(c_0_167,plain,
quotient(difference(product(difference(bigA,b1),bigA),b1),b1) = difference(b1,quotient(b1,bigA)),
inference(spm,[status(thm)],[c_0_33,c_0_161]) ).
cnf(c_0_168,plain,
quotient(difference(X1,b1),b1) = difference(quotient(X1,b1),b1),
inference(spm,[status(thm)],[c_0_21,c_0_162]) ).
cnf(c_0_169,plain,
difference(quotient(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_170,plain,
quotient(b1,product(b1,quotient(X1,b1))) = product(difference(b1,X1),b1),
inference(spm,[status(thm)],[c_0_163,c_0_111]) ).
cnf(c_0_171,plain,
product(X1,product(b1,quotient(X1,b1))) = product(b1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_30]),c_0_33]) ).
cnf(c_0_172,plain,
quotient(product(bigA,bigC),b1) = difference(bigC,b1),
inference(spm,[status(thm)],[c_0_21,c_0_165]) ).
cnf(c_0_173,plain,
product(product(X1,X2),product(X3,difference(X2,X4))) = product(product(X1,X3),X4),
inference(spm,[status(thm)],[c_0_17,c_0_35]) ).
cnf(c_0_174,plain,
difference(c,product(b,bigA)) = product(difference(c,bigA),c),
inference(spm,[status(thm)],[c_0_73,c_0_31]) ).
cnf(c_0_175,plain,
difference(product(quotient(b1,c1),b1),b1) = product(b,bigA),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_121]),c_0_35]),c_0_115]),c_0_123]),c_0_142]) ).
cnf(c_0_176,plain,
difference(product(difference(bigC,quotient(b1,c1)),bigC),bigC) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_166]),c_0_35]),c_0_35]) ).
cnf(c_0_177,plain,
product(difference(b1,difference(b1,quotient(b1,bigA))),b1) = difference(quotient(bigA,b1),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_167]),c_0_152]) ).
cnf(c_0_178,plain,
difference(quotient(quotient(b1,X1),b1),b1) = quotient(X1,b1),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_179,plain,
quotient(b1,quotient(X1,b1)) = product(difference(b1,difference(b1,X1)),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_105]),c_0_35]) ).
cnf(c_0_180,plain,
product(product(bigA,b1),b1) = product(b1,product(bigA,bigC)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).
cnf(c_0_181,plain,
product(difference(c,bigA),c) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_142]),c_0_174]) ).
cnf(c_0_182,plain,
quotient(b1,product(difference(X1,b1),b1)) = product(X1,b1),
inference(spm,[status(thm)],[c_0_163,c_0_155]) ).
cnf(c_0_183,plain,
product(product(quotient(b1,c1),b),product(b1,bigA)) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_175]),c_0_17]) ).
cnf(c_0_184,plain,
product(difference(bigC,quotient(b1,c1)),bigC) = quotient(bigC,c),
inference(spm,[status(thm)],[c_0_163,c_0_176]) ).
cnf(c_0_185,plain,
difference(X1,product(difference(b1,X1),b1)) = quotient(b1,X1),
inference(spm,[status(thm)],[c_0_33,c_0_147]) ).
cnf(c_0_186,plain,
difference(difference(quotient(X1,b1),b1),difference(X1,b1)) = b1,
inference(spm,[status(thm)],[c_0_33,c_0_162]) ).
cnf(c_0_187,plain,
difference(difference(quotient(bigA,b1),b1),b1) = quotient(quotient(b1,bigA),b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_177]),c_0_105]),c_0_35]) ).
cnf(c_0_188,plain,
quotient(quotient(b1,X1),b1) = product(difference(b1,difference(b1,X1)),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_178]),c_0_179]) ).
cnf(c_0_189,plain,
quotient(X1,quotient(X1,bigA)) = difference(bigA,X1),
inference(spm,[status(thm)],[c_0_21,c_0_144]) ).
cnf(c_0_190,plain,
product(b1,difference(bigC,b1)) = product(bigA,b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_180]),c_0_30]),c_0_172]) ).
cnf(c_0_191,plain,
product(product(c,X1),b) = product(bigA,product(X1,c)),
inference(spm,[status(thm)],[c_0_37,c_0_181]) ).
cnf(c_0_192,plain,
quotient(product(a1,product(X1,b1)),c) = product(b1,X1),
inference(spm,[status(thm)],[c_0_21,c_0_75]) ).
cnf(c_0_193,plain,
quotient(b1,product(X1,b1)) = product(quotient(b1,X1),b1),
inference(spm,[status(thm)],[c_0_182,c_0_169]) ).
cnf(c_0_194,plain,
quotient(b1,product(b1,bigA)) = product(quotient(b1,c1),b),
inference(spm,[status(thm)],[c_0_21,c_0_183]) ).
cnf(c_0_195,plain,
product(quotient(b1,c1),b) = product(a,quotient(bigC,c)),
inference(spm,[status(thm)],[c_0_140,c_0_184]) ).
cnf(c_0_196,plain,
quotient(b1,product(difference(bigA,b1),bigA)) = product(difference(b1,bigA),b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_112]),c_0_26]),c_0_66]),c_0_147]) ).
cnf(c_0_197,plain,
difference(product(difference(b1,difference(b1,bigA)),b1),quotient(b1,bigA)) = b1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_154]),c_0_168]),c_0_187]),c_0_188]) ).
cnf(c_0_198,plain,
product(difference(b1,quotient(b1,bigA)),b1) = product(quotient(b1,bigA),difference(bigA,b1)),
inference(spm,[status(thm)],[c_0_147,c_0_189]) ).
cnf(c_0_199,plain,
quotient(product(a,product(X1,bigC)),b) = product(bigC,X1),
inference(spm,[status(thm)],[c_0_21,c_0_132]) ).
cnf(c_0_200,plain,
product(difference(b1,bigA),b1) = difference(bigC,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_190]),c_0_73]) ).
cnf(c_0_201,plain,
quotient(product(bigA,product(X1,c)),b) = product(c,X1),
inference(spm,[status(thm)],[c_0_21,c_0_191]) ).
cnf(c_0_202,plain,
quotient(product(a1,X1),c) = product(b1,quotient(X1,b1)),
inference(spm,[status(thm)],[c_0_192,c_0_26]) ).
cnf(c_0_203,plain,
product(product(difference(b1,bigA),b1),b1) = product(a,quotient(bigC,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_71]),c_0_194]),c_0_195]),c_0_196]) ).
cnf(c_0_204,plain,
product(product(difference(b1,difference(b1,bigA)),b1),b1) = quotient(b1,bigA),
inference(spm,[status(thm)],[c_0_35,c_0_197]) ).
cnf(c_0_205,plain,
product(b1,product(quotient(b1,bigA),difference(bigA,b1))) = product(quotient(b1,bigA),b1),
inference(spm,[status(thm)],[c_0_65,c_0_198]) ).
cnf(c_0_206,plain,
product(quotient(b1,bigA),difference(bigA,b1)) = difference(product(difference(bigA,b1),bigA),b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_167]),c_0_198]) ).
cnf(c_0_207,plain,
quotient(product(a,X1),b) = product(bigC,quotient(X1,bigC)),
inference(spm,[status(thm)],[c_0_199,c_0_26]) ).
cnf(c_0_208,plain,
product(a,difference(bigC,b1)) = product(bigA,c1),
inference(spm,[status(thm)],[c_0_96,c_0_200]) ).
cnf(c_0_209,plain,
quotient(product(bigA,X1),b) = product(c,quotient(X1,c)),
inference(spm,[status(thm)],[c_0_201,c_0_26]) ).
cnf(c_0_210,plain,
product(c,quotient(c1,c)) = product(difference(bigA,b1),bigA),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_82]),c_0_30]),c_0_77]) ).
cnf(c_0_211,plain,
difference(b1,product(a,quotient(bigC,c))) = quotient(b1,bigA),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_203]),c_0_73]),c_0_204]) ).
cnf(c_0_212,plain,
product(a,quotient(bigC,c)) = product(bigA,bigC),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_180]),c_0_33]),c_0_73]),c_0_203]) ).
cnf(c_0_213,plain,
product(b1,difference(product(difference(bigA,b1),bigA),b1)) = product(quotient(b1,bigA),b1),
inference(rw,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_214,plain,
product(difference(bigA,b1),bigA) = quotient(b1,bigC),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_210]),c_0_105]),c_0_35]) ).
cnf(c_0_215,plain,
difference(b1,product(bigA,bigC)) = quotient(b1,bigA),
inference(rw,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_216,plain,
product(product(quotient(X1,X2),X3),product(X2,X4)) = product(X1,product(X3,X4)),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_217,plain,
product(quotient(b1,bigA),b1) = product(b1,bigC),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_169]) ).
fof(c_0_218,plain,
! [X29,X30,X31] :
( ( ~ m(X29,X30,X31)
| product(product(X29,X30),product(X30,X31)) = product(X29,X31) )
& ( product(product(X29,X30),product(X30,X31)) != product(X29,X31)
| m(X29,X30,X31) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos09])]) ).
cnf(c_0_219,plain,
difference(product(difference(b1,X1),b1),product(X1,b1)) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_138]) ).
cnf(c_0_220,plain,
product(product(bigA,bigC),b1) = product(b1,product(b1,bigC)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_215]),c_0_216]) ).
cnf(c_0_221,plain,
difference(product(b1,bigC),b1) = product(bigA,b1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_217]),c_0_169]) ).
fof(c_0_222,negated_conjecture,
~ m(bigA,b1,bigC),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
cnf(c_0_223,plain,
( m(X1,X2,X3)
| product(product(X1,X2),product(X2,X3)) != product(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_224,plain,
product(product(bigA,b1),product(b1,bigC)) = product(bigA,bigC),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_215]),c_0_217]),c_0_73]),c_0_221]) ).
cnf(c_0_225,negated_conjecture,
~ m(bigA,b1,bigC),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_226,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP779+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:15:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 20.44/20.52 % Version : CSE_E---1.5
% 20.44/20.52 % Problem : theBenchmark.p
% 20.44/20.52 % Proof found
% 20.44/20.52 % SZS status Theorem for theBenchmark.p
% 20.44/20.52 % SZS output start Proof
% See solution above
% 20.44/20.53 % Total time : 19.944000 s
% 20.44/20.53 % SZS output end Proof
% 20.44/20.53 % Total time : 19.947000 s
%------------------------------------------------------------------------------