%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP776+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 : Thu Sep 24 12:45:07 PM UTC 2026
% Result : Theorem 92.54s 14.03s
% Output : CNFRefutation 92.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 177 ( 34 unt; 0 def)
% Number of atoms : 409 ( 126 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 444 ( 212 ~; 207 |; 10 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 228 ( 14 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos09,axiom,
! [X1,X2] :
( ( h(X1)
& h(X2) )
=> h(sum(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).
fof(sos18,axiom,
! [X1,X2] : f(product(X2,X1)) = sum(f(X2),f(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos18) ).
fof(sos10,axiom,
! [X1,X2] :
( h(X2)
=> h(opp(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
fof(sos05,axiom,
! [X2] :
( g(X2)
=> product(eh,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).
fof(sos07,axiom,
! [X2] :
( g(X2)
=> product(X2,inv(X2)) = eh ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).
fof(sos08,axiom,
! [X2] :
( g(X2)
=> product(inv(X2),X2) = eh ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos08) ).
fof(sos17,axiom,
! [X2] :
( g(X2)
=> h(f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos17) ).
fof(sos15,axiom,
! [X2] :
( h(X2)
=> sum(X2,opp(X2)) = eg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos15) ).
fof(sos12,axiom,
! [X3,X1,X2] :
( ( h(X3)
& h(X1)
& h(X2) )
=> sum(sum(X2,X1),X3) = sum(X2,sum(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).
fof(sos11,axiom,
h(eg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).
fof(sos03,axiom,
g(eh),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
fof(sos02,axiom,
! [X2] :
( g(X2)
=> g(inv(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
fof(sos04,axiom,
! [X3,X1,X2] :
( ( g(X3)
& g(X1)
& g(X2) )
=> product(product(X2,X1),X3) = product(X2,product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).
fof(sos06,axiom,
! [X2] :
( g(X2)
=> product(X2,eh) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).
fof(sos01,axiom,
! [X1,X2] :
( ( g(X1)
& g(X2) )
=> g(product(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
fof(sos14,axiom,
! [X2] :
( h(X2)
=> sum(X2,eg) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos14) ).
fof(sos16,axiom,
! [X2] :
( h(X2)
=> sum(opp(X2),X2) = eg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).
fof(goals,conjecture,
! [X4] :
( ( f(inv(X4)) = opp(f(X4))
| ~ g(X4) )
& f(eh) = eg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos13,axiom,
! [X2] :
( h(X2)
=> sum(eg,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).
fof(c_0_19,plain,
! [X15,X16] :
( h(sum(X16,X15))
| ~ h(X15)
| ~ h(X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos09])])]) ).
fof(c_0_20,plain,
! [X27,X28] : f(product(X28,X27)) = sum(f(X28),f(X27)),
inference(variable_rename,[status(thm)],[sos18]) ).
fof(c_0_21,plain,
! [X17,X18] :
( h(opp(X17))
| ~ h(X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos10])])]) ).
fof(c_0_22,plain,
! [X11] :
( product(eh,X11) = X11
| ~ g(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos05])])]) ).
fof(c_0_23,plain,
! [X13] :
( product(X13,inv(X13)) = eh
| ~ g(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos07])])]) ).
cnf(c_0_24,plain,
( ~ h(X2)
| ~ h(X1)
| h(sum(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
f(product(X1,X2)) = sum(f(X1),f(X2)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X14] :
( product(inv(X14),X14) = eh
| ~ g(X14) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos08])])]) ).
fof(c_0_27,plain,
! [X26] :
( h(f(X26))
| ~ g(X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos17])])]) ).
fof(c_0_28,plain,
! [X24] :
( sum(X24,opp(X24)) = eg
| ~ h(X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos15])])]) ).
fof(c_0_29,plain,
! [X19,X20,X21] :
( sum(sum(X21,X20),X19) = sum(X21,sum(X20,X19))
| ~ h(X19)
| ~ h(X20)
| ~ h(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos12])])]) ).
cnf(c_0_30,plain,
( ~ h(X1)
| h(opp(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
h(eg),
inference(split_conjunct,[status(thm)],[sos11]) ).
cnf(c_0_32,plain,
( ~ g(X1)
| product(eh,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
( ~ g(X1)
| product(X1,inv(X1)) = eh ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
g(eh),
inference(split_conjunct,[status(thm)],[sos03]) ).
fof(c_0_35,plain,
! [X7] :
( g(inv(X7))
| ~ g(X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos02])])]) ).
cnf(c_0_36,plain,
( ~ h(f(X1))
| ~ h(f(X2))
| h(f(product(X1,X2))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_37,plain,
( ~ g(X1)
| product(inv(X1),X1) = eh ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( ~ g(X1)
| h(f(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
! [X8,X9,X10] :
( product(product(X10,X9),X8) = product(X10,product(X9,X8))
| ~ g(X8)
| ~ g(X9)
| ~ g(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos04])])]) ).
cnf(c_0_40,plain,
( ~ h(X1)
| sum(X1,opp(X1)) = eg ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( ~ h(X3)
| ~ h(X2)
| ~ h(X1)
| sum(sum(X1,X2),X3) = sum(X1,sum(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
h(opp(X1)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,plain,
( ~ g(inv(eh))
| inv(eh) = eh ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_44,plain,
( ~ g(X1)
| g(inv(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( ~ g(X1)
| ~ h(f(inv(X1)))
| h(f(eh)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_46,plain,
( ~ g(X3)
| ~ g(X2)
| ~ g(X1)
| product(product(X1,X2),X3) = product(X1,product(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_47,plain,
! [X12] :
( product(X12,eh) = X12
| ~ g(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos06])])]) ).
fof(c_0_48,plain,
! [X5,X6] :
( g(product(X6,X5))
| ~ g(X5)
| ~ g(X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos01])])]) ).
cnf(c_0_49,plain,
( ~ h(X1)
| ~ h(X2)
| sum(X1,sum(X2,opp(sum(X1,X2)))) = eg ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_24]) ).
cnf(c_0_50,plain,
inv(eh) = eh,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34])]) ).
cnf(c_0_51,plain,
( ~ g(X1)
| h(f(eh)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_44]) ).
cnf(c_0_52,plain,
( ~ g(X1)
| ~ g(X2)
| product(X1,product(inv(X1),X2)) = product(eh,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_44]) ).
cnf(c_0_53,plain,
( ~ g(X1)
| product(X1,eh) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( ~ g(X2)
| ~ g(X1)
| g(product(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( ~ h(f(X1))
| ~ h(f(X2))
| sum(f(X1),sum(f(X2),opp(f(product(X1,X2))))) = eg ),
inference(spm,[status(thm)],[c_0_49,c_0_25]) ).
cnf(c_0_56,plain,
product(eh,eh) = eh,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_50]),c_0_34])]) ).
cnf(c_0_57,plain,
h(f(eh)),
inference(spm,[status(thm)],[c_0_51,c_0_34]) ).
cnf(c_0_58,plain,
( ~ g(X1)
| ~ g(inv(inv(X1)))
| product(eh,inv(inv(X1))) = product(X1,eh) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_44]) ).
cnf(c_0_59,plain,
( ~ g(X1)
| ~ g(X2)
| product(X1,product(X2,eh)) = product(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_34])]),c_0_54]) ).
fof(c_0_60,plain,
! [X23] :
( sum(X23,eg) = X23
| ~ h(X23) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos14])])]) ).
cnf(c_0_61,plain,
sum(f(eh),sum(f(eh),opp(f(eh)))) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_62,plain,
( ~ g(X1)
| ~ g(inv(inv(X1)))
| inv(inv(X1)) = product(X1,eh) ),
inference(spm,[status(thm)],[c_0_32,c_0_58]) ).
cnf(c_0_63,plain,
( ~ g(X1)
| ~ g(product(X1,eh))
| product(eh,X1) = product(X1,eh) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_34])]) ).
cnf(c_0_64,plain,
( ~ g(X1)
| ~ g(X2)
| product(inv(X1),product(X1,X2)) = product(eh,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_44]) ).
fof(c_0_65,plain,
! [X25] :
( sum(opp(X25),X25) = eg
| ~ h(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos16])])]) ).
cnf(c_0_66,plain,
( ~ h(X1)
| sum(X1,eg) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
sum(f(eh),eg) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_40]),c_0_57])]) ).
cnf(c_0_68,plain,
( ~ g(X1)
| inv(inv(X1)) = product(X1,eh) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_44]) ).
cnf(c_0_69,plain,
( ~ g(X1)
| ~ g(X2)
| ~ g(X3)
| g(product(X1,product(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_46]),c_0_54]) ).
cnf(c_0_70,plain,
( ~ g(X1)
| product(eh,X1) = product(X1,eh) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_54]),c_0_34])]) ).
cnf(c_0_71,plain,
( ~ g(X1)
| ~ g(X2)
| ~ g(inv(product(X1,X2)))
| product(X1,product(X2,inv(product(X1,X2)))) = eh ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_46]),c_0_54]) ).
cnf(c_0_72,plain,
( ~ g(X1)
| product(inv(inv(X1)),eh) = product(eh,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37]),c_0_44]) ).
cnf(c_0_73,plain,
( ~ h(X1)
| ~ h(X2)
| ~ h(X3)
| ~ h(X4)
| sum(sum(X1,sum(X2,X3)),X4) = sum(sum(X1,X2),sum(X3,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_41]),c_0_24]) ).
cnf(c_0_74,plain,
( ~ h(X1)
| ~ h(X2)
| ~ h(X3)
| h(sum(X1,sum(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_41]),c_0_24]) ).
cnf(c_0_75,plain,
( ~ h(X1)
| sum(opp(X1),X1) = eg ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,plain,
f(eh) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_57])]) ).
cnf(c_0_77,plain,
( ~ g(X1)
| inv(product(X1,eh)) = product(inv(X1),eh) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_68]),c_0_44]) ).
cnf(c_0_78,plain,
( ~ g(X1)
| ~ g(X2)
| g(product(X1,product(eh,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_34])]) ).
cnf(c_0_79,plain,
( ~ g(X1)
| ~ g(X2)
| ~ g(inv(product(X2,X1)))
| product(eh,product(X1,inv(product(X2,X1)))) = product(inv(X2),eh) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_54]) ).
cnf(c_0_80,plain,
( ~ g(X1)
| ~ g(inv(inv(X1)))
| inv(inv(X1)) = product(eh,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_72]) ).
fof(c_0_81,negated_conjecture,
~ ! [X4] :
( ( f(inv(X4)) = opp(f(X4))
| ~ g(X4) )
& f(eh) = eg ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_82,plain,
( ~ h(X1)
| ~ h(X2)
| ~ h(X3)
| ~ h(X4)
| h(sum(sum(X1,X2),sum(X3,X4))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_73]),c_0_74]) ).
cnf(c_0_83,plain,
( ~ h(X1)
| ~ h(X2)
| ~ h(X3)
| sum(sum(X1,opp(X2)),sum(X2,X3)) = sum(sum(X1,eg),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_75]),c_0_42])]) ).
cnf(c_0_84,plain,
f(product(X1,eh)) = sum(f(X1),eg),
inference(spm,[status(thm)],[c_0_25,c_0_76]) ).
cnf(c_0_85,plain,
( ~ g(X1)
| product(inv(X1),eh) = inv(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_53]) ).
cnf(c_0_86,plain,
( ~ g(X1)
| ~ g(inv(product(X1,eh)))
| g(product(inv(X1),eh)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_34])]) ).
cnf(c_0_87,plain,
( ~ g(X1)
| g(product(X1,eh)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_70]),c_0_34])]) ).
cnf(c_0_88,plain,
( ~ g(X1)
| inv(inv(X1)) = product(eh,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_44]) ).
cnf(c_0_89,plain,
( ~ g(X1)
| product(inv(X1),product(eh,X1)) = eh ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_70]),c_0_56]),c_0_34])]) ).
fof(c_0_90,negated_conjecture,
~ ! [X4] :
( ( f(inv(X4)) = opp(f(X4))
| ~ g(X4) )
& f(eh) = eg ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
cnf(c_0_91,plain,
( ~ h(X1)
| ~ h(X3)
| ~ h(X2)
| h(sum(sum(X1,eg),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_42])]) ).
cnf(c_0_92,plain,
( ~ g(product(X1,eh))
| h(sum(f(X1),eg)) ),
inference(spm,[status(thm)],[c_0_38,c_0_84]) ).
cnf(c_0_93,plain,
( ~ g(X1)
| sum(f(inv(X1)),eg) = f(inv(X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
( ~ g(X1)
| g(product(inv(X1),eh)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_44]),c_0_87]) ).
cnf(c_0_95,plain,
( ~ g(X1)
| inv(product(eh,X1)) = product(eh,inv(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_88]),c_0_44]) ).
cnf(c_0_96,plain,
( ~ h(X1)
| ~ h(X2)
| sum(opp(X1),sum(X1,X2)) = sum(eg,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_75]),c_0_42])]) ).
cnf(c_0_97,plain,
( ~ g(X1)
| product(inv(X1),product(X1,eh)) = eh ),
inference(spm,[status(thm)],[c_0_89,c_0_70]) ).
cnf(c_0_98,plain,
( ~ g(X3)
| ~ g(X1)
| ~ g(X2)
| product(X1,product(X2,product(X3,eh))) = product(product(X1,X2),X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_59]),c_0_54]),c_0_87]) ).
cnf(c_0_99,plain,
( ~ g(X1)
| ~ g(X2)
| g(product(X1,product(X2,eh))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_34])]) ).
fof(c_0_100,negated_conjecture,
( ( f(eh) != eg
| f(inv(esk1_0)) != opp(f(esk1_0)) )
& ( f(eh) != eg
| g(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])])]) ).
cnf(c_0_101,plain,
( ~ g(X2)
| ~ h(X1)
| ~ h(X3)
| h(sum(sum(X1,eg),f(X2))) ),
inference(spm,[status(thm)],[c_0_91,c_0_38]) ).
cnf(c_0_102,plain,
( ~ g(X1)
| h(f(inv(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_103,plain,
( ~ g(X1)
| product(eh,inv(product(X1,eh))) = inv(product(eh,X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_59]),c_0_34])]),c_0_87]) ).
cnf(c_0_104,plain,
( ~ h(X1)
| sum(opp(opp(X1)),eg) = sum(eg,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_75]),c_0_42])]) ).
cnf(c_0_105,plain,
( ~ g(X1)
| ~ g(X2)
| product(inv(X1),product(product(X1,eh),X2)) = product(eh,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_97]),c_0_44]),c_0_87]) ).
cnf(c_0_106,plain,
( ~ g(X3)
| ~ g(X2)
| ~ g(X1)
| product(inv(X1),product(product(X1,X2),X3)) = product(eh,product(X2,product(X3,eh))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_98]),c_0_99]) ).
cnf(c_0_107,negated_conjecture,
( f(eh) != eg
| g(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,plain,
( ~ g(X3)
| ~ g(X2)
| ~ h(X1)
| h(sum(sum(X1,eg),f(X2))) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_109,plain,
! [X22] :
( sum(eg,X22) = X22
| ~ h(X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos13])])]) ).
cnf(c_0_110,plain,
( ~ g(X1)
| ~ g(inv(product(X1,eh)))
| g(inv(product(eh,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_103]),c_0_34])]) ).
cnf(c_0_111,plain,
( ~ h(X1)
| opp(opp(X1)) = sum(eg,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_104]),c_0_42])]) ).
cnf(c_0_112,plain,
( ~ h(X1)
| sum(opp(X1),eg) = sum(eg,opp(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_40]),c_0_42])]) ).
cnf(c_0_113,plain,
( ~ g(X1)
| ~ g(X2)
| ~ g(X3)
| ~ g(X4)
| product(product(X1,product(X2,X3)),X4) = product(product(X1,X2),product(X3,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_46]),c_0_54]) ).
cnf(c_0_114,plain,
( ~ g(X2)
| ~ g(X1)
| product(eh,product(eh,product(X1,eh))) = product(eh,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_34])]) ).
cnf(c_0_115,negated_conjecture,
g(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_76])]) ).
cnf(c_0_116,plain,
( ~ g(X3)
| ~ g(X2)
| h(sum(sum(opp(X1),eg),f(X2))) ),
inference(spm,[status(thm)],[c_0_108,c_0_42]) ).
cnf(c_0_117,plain,
( ~ h(X1)
| sum(eg,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_118,plain,
( ~ g(X1)
| g(inv(product(eh,X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_53]),c_0_44]) ).
cnf(c_0_119,plain,
( ~ h(X1)
| opp(sum(eg,X1)) = sum(eg,opp(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_111]),c_0_42])]) ).
cnf(c_0_120,plain,
( ~ h(X1)
| sum(eg,opp(X1)) = opp(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_112]),c_0_42])]) ).
cnf(c_0_121,plain,
( ~ g(X1)
| ~ g(X2)
| product(product(inv(X1),X1),product(eh,X2)) = product(eh,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_97]),c_0_34])]),c_0_44]) ).
cnf(c_0_122,negated_conjecture,
( ~ g(X1)
| product(eh,product(eh,product(esk1_0,eh))) = product(eh,esk1_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( ~ g(X2)
| h(sum(sum(opp(X1),eg),f(esk1_0))) ),
inference(spm,[status(thm)],[c_0_116,c_0_115]) ).
cnf(c_0_124,plain,
opp(eg) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_40]),c_0_42]),c_0_31])]) ).
cnf(c_0_125,plain,
( ~ g(X1)
| g(inv(product(X1,eh))) ),
inference(spm,[status(thm)],[c_0_118,c_0_70]) ).
cnf(c_0_126,plain,
( ~ h(X1)
| sum(eg,opp(opp(X1))) = opp(opp(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_42])]) ).
cnf(c_0_127,plain,
( ~ h(X1)
| ~ h(X2)
| sum(X1,sum(opp(X1),X2)) = sum(eg,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_42])]) ).
cnf(c_0_128,plain,
( ~ g(X1)
| ~ g(X2)
| product(product(X1,eh),X2) = product(eh,product(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_34])]) ).
cnf(c_0_129,plain,
( ~ g(X1)
| ~ g(X2)
| product(product(inv(X1),X1),X2) = X2 ),
inference(spm,[status(thm)],[c_0_121,c_0_32]) ).
cnf(c_0_130,plain,
( ~ g(X2)
| ~ g(X3)
| ~ g(X1)
| product(X1,product(X2,product(X3,eh))) = product(X1,product(X2,X3)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_34])]),c_0_54]) ).
cnf(c_0_131,negated_conjecture,
product(eh,product(eh,product(esk1_0,eh))) = product(eh,esk1_0),
inference(spm,[status(thm)],[c_0_122,c_0_115]) ).
cnf(c_0_132,negated_conjecture,
h(sum(sum(opp(X1),eg),f(esk1_0))),
inference(spm,[status(thm)],[c_0_123,c_0_115]) ).
cnf(c_0_133,plain,
sum(eg,eg) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_124]),c_0_31])]) ).
cnf(c_0_134,plain,
f(product(eh,X1)) = sum(eg,f(X1)),
inference(spm,[status(thm)],[c_0_25,c_0_76]) ).
cnf(c_0_135,plain,
( ~ g(X1)
| h(f(product(eh,X1))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_70]),c_0_57])]),c_0_38]) ).
cnf(c_0_136,plain,
( ~ g(X1)
| g(inv(inv(product(eh,X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_103]),c_0_125]) ).
cnf(c_0_137,plain,
( ~ h(X1)
| sum(eg,opp(opp(opp(X1)))) = opp(opp(opp(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_126]),c_0_42])]) ).
cnf(c_0_138,plain,
( ~ h(X1)
| sum(eg,opp(opp(X1))) = sum(X1,eg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_40]),c_0_42]),c_0_42])]) ).
cnf(c_0_139,plain,
( ~ h(X1)
| ~ h(X2)
| sum(X1,sum(X2,eg)) = sum(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_41]),c_0_31])]),c_0_24]) ).
cnf(c_0_140,plain,
( ~ h(X3)
| ~ h(f(X1))
| ~ h(f(X2))
| sum(f(X1),sum(f(X2),X3)) = sum(f(product(X1,X2)),X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_25]) ).
cnf(c_0_141,plain,
( ~ g(X1)
| product(eh,product(eh,X1)) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_50]),c_0_50]),c_0_34]),c_0_34])]) ).
cnf(c_0_142,negated_conjecture,
product(eh,product(eh,esk1_0)) = product(eh,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_34]),c_0_115])]) ).
cnf(c_0_143,negated_conjecture,
h(sum(eg,f(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_124]),c_0_133]) ).
cnf(c_0_144,plain,
( ~ g(X1)
| sum(eg,f(X1)) = f(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_32]) ).
cnf(c_0_145,plain,
( ~ g(X1)
| ~ g(X2)
| ~ g(X3)
| ~ h(f(product(X1,X2)))
| h(f(product(X1,product(X2,X3)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_46]),c_0_38]) ).
cnf(c_0_146,plain,
( ~ g(X1)
| h(f(product(X1,eh))) ),
inference(spm,[status(thm)],[c_0_135,c_0_70]) ).
cnf(c_0_147,plain,
( ~ g(X1)
| inv(product(X1,eh)) = product(eh,inv(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_70]) ).
cnf(c_0_148,plain,
( ~ g(X1)
| g(inv(inv(X1))) ),
inference(spm,[status(thm)],[c_0_136,c_0_32]) ).
cnf(c_0_149,plain,
( ~ g(X1)
| g(inv(inv(inv(product(eh,X1))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_103]),c_0_125]) ).
cnf(c_0_150,plain,
( ~ h(X1)
| sum(eg,opp(opp(opp(opp(X1))))) = opp(opp(opp(opp(X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_137]),c_0_42])]) ).
cnf(c_0_151,plain,
( ~ h(X1)
| opp(opp(opp(X1))) = sum(opp(X1),eg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_42])]) ).
cnf(c_0_152,plain,
( ~ h(X1)
| opp(opp(X1)) = sum(X1,eg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_138]),c_0_42])]) ).
cnf(c_0_153,plain,
( ~ h(f(X1))
| ~ h(f(X2))
| sum(f(product(X1,X2)),eg) = f(product(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_25]),c_0_31])]) ).
cnf(c_0_154,negated_conjecture,
product(eh,esk1_0) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_115])]) ).
cnf(c_0_155,negated_conjecture,
h(f(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_115])]) ).
cnf(c_0_156,plain,
( ~ g(X1)
| ~ g(X2)
| h(f(product(X1,X2))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_32]),c_0_34])]),c_0_146]) ).
cnf(c_0_157,plain,
( ~ g(X1)
| product(eh,inv(inv(inv(X1)))) = inv(product(eh,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_72]),c_0_148]) ).
cnf(c_0_158,plain,
( ~ g(X1)
| g(inv(inv(inv(X1)))) ),
inference(spm,[status(thm)],[c_0_149,c_0_32]) ).
cnf(c_0_159,plain,
( ~ h(X1)
| opp(opp(opp(opp(X1)))) = sum(opp(opp(X1)),eg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_138]),c_0_42])]) ).
cnf(c_0_160,plain,
( ~ h(X1)
| opp(opp(sum(X1,eg))) = sum(sum(X1,eg),eg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_42])]) ).
cnf(c_0_161,negated_conjecture,
sum(f(esk1_0),eg) = f(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_76]),c_0_31])]) ).
cnf(c_0_162,plain,
( ~ h(X1)
| ~ h(X2)
| sum(eg,sum(X1,X2)) = sum(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_117]),c_0_31])]) ).
cnf(c_0_163,plain,
( ~ g(X1)
| h(f(inv(product(eh,X1)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_34])]),c_0_158]) ).
cnf(c_0_164,plain,
( ~ g(X1)
| ~ g(X2)
| product(product(X1,X2),inv(X2)) = product(X1,eh) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_52]),c_0_56]),c_0_34])]),c_0_44]) ).
cnf(c_0_165,plain,
( ~ h(X1)
| opp(opp(opp(sum(X1,eg)))) = sum(opp(sum(X1,eg)),eg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_152]),c_0_42])]) ).
cnf(c_0_166,negated_conjecture,
opp(opp(f(esk1_0))) = f(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_161]),c_0_155])]) ).
cnf(c_0_167,plain,
( ~ h(f(X1))
| ~ h(f(X2))
| sum(eg,f(product(X1,X2))) = f(product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_162,c_0_25]) ).
cnf(c_0_168,negated_conjecture,
product(eh,inv(esk1_0)) = inv(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_154]),c_0_115])]) ).
cnf(c_0_169,negated_conjecture,
h(f(inv(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_154]),c_0_115])]) ).
cnf(c_0_170,negated_conjecture,
( f(eh) != eg
| f(inv(esk1_0)) != opp(f(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_171,plain,
( ~ h(f(X1))
| ~ h(f(X2))
| sum(opp(f(X1)),f(product(X1,X2))) = sum(eg,f(X2)) ),
inference(spm,[status(thm)],[c_0_96,c_0_25]) ).
cnf(c_0_172,negated_conjecture,
product(esk1_0,inv(esk1_0)) = eh,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_154]),c_0_56]),c_0_115]),c_0_34])]) ).
cnf(c_0_173,negated_conjecture,
sum(opp(f(esk1_0)),eg) = opp(f(esk1_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_161]),c_0_155])]),c_0_166]) ).
cnf(c_0_174,negated_conjecture,
sum(eg,f(inv(esk1_0))) = f(inv(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_76]),c_0_31])]) ).
cnf(c_0_175,negated_conjecture,
opp(f(esk1_0)) != f(inv(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_76])]) ).
cnf(c_0_176,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_76]),c_0_169]),c_0_155])]),c_0_173]),c_0_174]),c_0_175]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP776+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:40:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 92.54/14.03 % Version: 3.5.1
% 92.54/14.03 % Preprocessing class: FSMSSMSSSSSNFFN.
% 92.54/14.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 92.54/14.03 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 92.54/14.03 % Starting new_bool_3 with 300s (1) cores
% 92.54/14.03 % Starting new_bool_1 with 300s (1) cores
% 92.54/14.03 % Starting sh5l with 300s (1) cores
% 92.54/14.03 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 889510 completed with status 0
% 92.54/14.03 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 92.54/14.03 % Preprocessing class: FSMSSMSSSSSNFFN.
% 92.54/14.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 92.54/14.03 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 92.54/14.03 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 92.54/14.03 % No SInE strategy applied
% 92.54/14.03 % Search class: FHHSF-FFSF21-SFFFFFNN
% 92.54/14.03 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 92.54/14.03 % Starting SubtermCWHack with 136s (1) cores
% 92.54/14.03 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 92.54/14.03 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 92.54/14.03 % Starting new_bool_3 with 136s (1) cores
% 92.54/14.03 % Starting new_bool_1 with 136s (1) cores
% 92.54/14.03 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 889518 completed with status 0
% 92.54/14.03 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 92.54/14.03 % Preprocessing class: FSMSSMSSSSSNFFN.
% 92.54/14.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 92.54/14.03 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 92.54/14.03 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 92.54/14.03 % No SInE strategy applied
% 92.54/14.03 % Search class: FHHSF-FFSF21-SFFFFFNN
% 92.54/14.03 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 92.54/14.03 % Starting SubtermCWHack with 136s (1) cores
% 92.54/14.03 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 92.54/14.03 % Preprocessing time : 0.001 s
% 92.54/14.03 % Presaturation interreduction done
% 92.54/14.03
% 92.54/14.03 % Proof found!
% 92.54/14.03 % SZS status Theorem
% 92.54/14.03 % SZS output start CNFRefutation
% See solution above
% 92.54/14.03 % Parsed axioms : 19
% 92.54/14.03 % Removed by relevancy pruning/SinE : 0
% 92.54/14.03 % Initial clauses : 20
% 92.54/14.03 % Removed in clause preprocessing : 0
% 92.54/14.03 % Initial clauses in saturation : 20
% 92.54/14.03 % Processed clauses : 19444
% 92.54/14.03 % ...of these trivial : 905
% 92.54/14.03 % ...subsumed : 16868
% 92.54/14.03 % ...remaining for further processing : 1670
% 92.54/14.03 % Other redundant clauses eliminated : 0
% 92.54/14.03 % Clauses deleted for lack of memory : 0
% 92.54/14.03 % Backward-subsumed : 51
% 92.54/14.03 % Backward-rewritten : 45
% 92.54/14.03 % Generated clauses : 848069
% 92.54/14.03 % ...of the previous two non-redundant : 802200
% 92.54/14.03 % ...aggressively subsumed : 0
% 92.54/14.03 % Contextual simplify-reflections : 931
% 92.54/14.03 % Paramodulations : 848069
% 92.54/14.03 % Factorizations : 0
% 92.54/14.03 % NegExts : 0
% 92.54/14.03 % Equation resolutions : 0
% 92.54/14.03 % Disequality decompositions : 0
% 92.54/14.03 % Total rewrite steps : 997340
% 92.54/14.03 % ...of those cached : 994380
% 92.54/14.03 % Propositional unsat checks : 0
% 92.54/14.03 % Propositional check models : 0
% 92.54/14.03 % Propositional check unsatisfiable : 0
% 92.54/14.03 % Propositional clauses : 0
% 92.54/14.03 % Propositional clauses after purity: 0
% 92.54/14.03 % Propositional unsat core size : 0
% 92.54/14.03 % Propositional preprocessing time : 0.000
% 92.54/14.03 % Propositional encoding time : 0.000
% 92.54/14.03 % Propositional solver time : 0.000
% 92.54/14.03 % Success case prop preproc time : 0.000
% 92.54/14.03 % Success case prop encoding time : 0.000
% 92.54/14.03 % Success case prop solver time : 0.000
% 92.54/14.03 % Current number of processed clauses : 1554
% 92.54/14.03 % Positive orientable unit clauses : 84
% 92.54/14.03 % Positive unorientable unit clauses: 0
% 92.54/14.03 % Negative unit clauses : 1
% 92.54/14.03 % Non-unit-clauses : 1469
% 92.54/14.03 % Current number of unprocessed clauses: 782082
% 92.54/14.03 % ...number of literals in the above : 4542901
% 92.54/14.03 % Current number of archived formulas : 0
% 92.54/14.03 % Current number of archived clauses : 116
% 92.54/14.03 % Clause-clause subsumption calls (NU) : 839922
% 92.54/14.03 % Rec. Clause-clause subsumption calls : 436567
% 92.54/14.03 % Non-unit clause-clause subsumptions : 17848
% 92.54/14.03 % Unit Clause-clause subsumption calls : 4872
% 92.54/14.03 % Rewrite failures with RHS unbound : 0
% 92.54/14.03 % BW rewrite match attempts : 1170
% 92.54/14.03 % BW rewrite match successes : 39
% 92.54/14.03 % Condensation attempts : 0
% 92.54/14.03 % Condensation successes : 0
% 92.54/14.03 % Termbank termtop insertions : 25899618
% 92.54/14.03 % Search garbage collected termcells : 202
% 92.54/14.03
% 92.54/14.03 % -------------------------------------------------
% 92.54/14.03 % User time : 12.364 s
% 92.54/14.03 % System time : 0.517 s
% 92.54/14.03 % Total time : 12.881 s
% 92.54/14.03 % Maximum resident set size: 3644 pages
% 92.54/14.03
% 92.54/14.03 % -------------------------------------------------
% 92.54/14.03 % User time : 62.942 s
% 92.54/14.03 % System time : 2.536 s
% 92.54/14.03 % Total time : 65.477 s
% 92.54/14.03 % Maximum resident set size: 4608 pages
% 92.54/14.03 % E exiting
%------------------------------------------------------------------------------