%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP765-1 : 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 : n003.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 12:41:12 PM UTC 2026
% Result : Unsatisfiable 159.63s 24.39s
% Output : CNFRefutation 159.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of clauses : 108 ( 108 unt; 0 nHn; 5 RR)
% Number of literals : 108 ( 107 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 221 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos06,axiom,
product(quotient(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).
cnf(sos07,axiom,
difference(X1,product(product(X1,X2),X3)) = quotient(product(X2,product(X3,X1)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).
cnf(sos03,axiom,
product(X1,difference(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
cnf(sos02,axiom,
product(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
cnf(sos05,axiom,
quotient(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).
cnf(sos04,axiom,
difference(X1,product(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).
cnf(sos08,axiom,
difference(product(X1,X2),product(X1,product(X2,X3))) = quotient(quotient(product(X3,product(X1,X2)),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos08) ).
cnf(sos01,axiom,
product(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
cnf(sos11,axiom,
product(i(X1),X1) = product(X1,j(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).
cnf(sos09,axiom,
i(X1) = difference(X1,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).
cnf(sos10,axiom,
j(X1) = quotient(one,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
cnf(goals,negated_conjecture,
product(i(i(x0)),x1) != product(eta(x0),product(x0,x1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(sos12,axiom,
eta(X1) = product(i(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).
cnf(c_0_13,axiom,
product(quotient(X1,X2),X2) = X1,
sos06 ).
cnf(c_0_14,axiom,
difference(X1,product(product(X1,X2),X3)) = quotient(product(X2,product(X3,X1)),X1),
sos07 ).
cnf(c_0_15,plain,
product(difference(X1,product(product(X1,X2),X3)),X1) = product(X2,product(X3,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
product(X1,difference(X1,X2)) = X2,
sos03 ).
cnf(c_0_17,plain,
product(difference(X1,product(X2,X3)),X1) = product(difference(X1,X2),product(X3,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
product(one,X1) = X1,
sos02 ).
cnf(c_0_19,axiom,
quotient(product(X1,X2),X2) = X1,
sos05 ).
cnf(c_0_20,plain,
product(difference(X1,one),product(X2,X1)) = product(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
difference(X1,product(X1,X2)) = X2,
sos04 ).
cnf(c_0_22,plain,
quotient(product(difference(X1,X2),X1),product(X2,X1)) = difference(X1,one),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
difference(X1,product(product(X1,X2),quotient(X3,X1))) = quotient(product(X2,X3),X1),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_24,plain,
difference(quotient(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_25,plain,
quotient(product(X1,X2),product(product(X2,X1),X2)) = difference(X2,one),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_26,plain,
product(product(X1,X2),quotient(X3,X1)) = product(X1,quotient(product(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_16,c_0_23]) ).
cnf(c_0_27,axiom,
difference(product(X1,X2),product(X1,product(X2,X3))) = quotient(quotient(product(X3,product(X1,X2)),X2),X1),
sos08 ).
cnf(c_0_28,plain,
difference(difference(X1,one),product(X2,X1)) = product(product(X1,X2),X1),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
product(X1,one) = X1,
sos01 ).
cnf(c_0_30,plain,
product(X1,quotient(product(difference(X1,X2),X3),X1)) = product(X2,quotient(X3,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_31,plain,
quotient(difference(X1,product(product(X1,X2),X3)),X3) = difference(product(X3,X1),product(X3,product(X1,X2))),
inference(rw,[status(thm)],[c_0_27,c_0_14]) ).
cnf(c_0_32,plain,
product(product(product(X1,X2),X1),difference(X1,one)) = difference(difference(X1,one),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_16]),c_0_29]) ).
cnf(c_0_33,plain,
product(product(X1,quotient(X2,X1)),X1) = difference(difference(X1,one),X2),
inference(spm,[status(thm)],[c_0_28,c_0_13]) ).
cnf(c_0_34,plain,
product(X1,quotient(difference(X1,X2),X1)) = product(X2,quotient(one,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_35,plain,
quotient(difference(X1,product(X2,X3)),X3) = difference(product(X3,X1),product(X3,X2)),
inference(spm,[status(thm)],[c_0_31,c_0_16]) ).
cnf(c_0_36,plain,
product(difference(X1,quotient(X2,X3)),product(X3,X1)) = product(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_37,plain,
product(product(X1,X2),difference(X2,one)) = difference(difference(X2,one),difference(X2,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_38,plain,
product(product(X1,quotient(one,X2)),X2) = difference(difference(X2,one),difference(X2,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
quotient(difference(X1,X2),X2) = difference(product(X2,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_29]) ).
cnf(c_0_40,plain,
difference(X1,X1) = one,
inference(spm,[status(thm)],[c_0_21,c_0_29]) ).
cnf(c_0_41,plain,
quotient(product(difference(X1,X2),X1),product(X3,X1)) = difference(X1,quotient(X2,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_42,plain,
difference(X1,difference(quotient(one,X1),X2)) = difference(difference(X1,one),difference(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_24]),c_0_38]) ).
cnf(c_0_43,plain,
quotient(one,X1) = difference(product(X1,X1),X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
quotient(product(X1,X2),product(X3,X2)) = difference(X2,quotient(product(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_45,plain,
difference(product(X1,X2),product(X1,quotient(X3,X1))) = quotient(difference(X2,X3),X1),
inference(spm,[status(thm)],[c_0_35,c_0_13]) ).
cnf(c_0_46,plain,
difference(X1,difference(difference(product(X1,X1),X1),X2)) = difference(difference(X1,one),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
difference(X1,quotient(product(X1,quotient(X2,X1)),X3)) = quotient(X2,product(X3,X1)),
inference(spm,[status(thm)],[c_0_44,c_0_13]) ).
cnf(c_0_48,plain,
difference(X1,quotient(X2,quotient(X3,X1))) = quotient(product(difference(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_41,c_0_13]) ).
cnf(c_0_49,plain,
quotient(X1,one) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_13]) ).
cnf(c_0_50,plain,
difference(X1,product(X2,quotient(X3,X2))) = quotient(difference(difference(X2,X1),X3),X2),
inference(spm,[status(thm)],[c_0_45,c_0_16]) ).
cnf(c_0_51,plain,
product(X1,difference(difference(X1,one),difference(X1,X2))) = difference(difference(product(X1,X1),X1),X2),
inference(spm,[status(thm)],[c_0_16,c_0_46]) ).
cnf(c_0_52,plain,
quotient(product(X1,quotient(X2,X1)),X3) = product(X1,quotient(X2,product(X3,X1))),
inference(spm,[status(thm)],[c_0_16,c_0_47]) ).
cnf(c_0_53,plain,
difference(X1,quotient(X2,difference(product(X1,X1),X1))) = product(difference(X1,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_43]),c_0_49]) ).
cnf(c_0_54,plain,
quotient(difference(difference(X1,X2),difference(X3,product(X4,X1))),X1) = difference(X2,product(X1,difference(product(X1,X3),product(X1,X4)))),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_55,plain,
product(difference(X1,X2),product(difference(X2,X3),X1)) = product(difference(X1,X3),X1),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_56,plain,
quotient(difference(difference(X1,X2),difference(X1,X3)),X1) = difference(X2,product(X3,quotient(one,X1))),
inference(spm,[status(thm)],[c_0_50,c_0_34]) ).
cnf(c_0_57,plain,
difference(difference(product(X1,X1),X1),product(X1,X2)) = product(X1,difference(difference(X1,one),X2)),
inference(spm,[status(thm)],[c_0_51,c_0_21]) ).
cnf(c_0_58,plain,
product(X1,quotient(quotient(X2,difference(X3,X1)),X3)) = product(X3,product(difference(X3,X1),quotient(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_52]),c_0_16]) ).
cnf(c_0_59,plain,
difference(difference(product(X1,X1),X1),one) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_43]) ).
cnf(c_0_60,plain,
quotient(X1,difference(product(X2,X2),X2)) = product(X2,product(difference(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_53]) ).
cnf(c_0_61,plain,
product(difference(X1,quotient(X2,X1)),X1) = product(difference(X1,one),X2),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_62,plain,
difference(product(X1,X2),product(X2,difference(product(X2,X2),product(X2,X1)))) = quotient(one,X2),
inference(spm,[status(thm)],[c_0_54,c_0_40]) ).
cnf(c_0_63,plain,
difference(difference(X1,X2),product(difference(X1,X3),X1)) = product(difference(X2,X3),X1),
inference(spm,[status(thm)],[c_0_21,c_0_55]) ).
cnf(c_0_64,plain,
difference(difference(X1,one),difference(X1,quotient(X2,X1))) = product(X2,difference(X1,one)),
inference(spm,[status(thm)],[c_0_37,c_0_13]) ).
cnf(c_0_65,plain,
quotient(difference(X1,difference(quotient(X2,X1),X3)),quotient(X2,X1)) = difference(X2,product(X3,quotient(one,quotient(X2,X1)))),
inference(spm,[status(thm)],[c_0_56,c_0_24]) ).
cnf(c_0_66,plain,
difference(quotient(one,X1),product(X1,X2)) = product(X1,difference(difference(X1,one),X2)),
inference(spm,[status(thm)],[c_0_57,c_0_43]) ).
cnf(c_0_67,plain,
difference(one,X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_68,plain,
product(difference(product(X1,X1),X1),product(X1,X2)) = product(X1,product(difference(X1,one),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]),c_0_18]),c_0_49]) ).
cnf(c_0_69,plain,
difference(product(difference(X1,X2),X1),product(X1,difference(product(X1,X1),X2))) = quotient(one,X1),
inference(spm,[status(thm)],[c_0_62,c_0_16]) ).
cnf(c_0_70,plain,
product(difference(X1,quotient(X2,X3)),X3) = difference(difference(X3,X1),product(difference(X3,one),X2)),
inference(spm,[status(thm)],[c_0_63,c_0_61]) ).
cnf(c_0_71,plain,
difference(X1,quotient(X2,X1)) = product(difference(X1,one),product(X2,difference(X1,one))),
inference(spm,[status(thm)],[c_0_16,c_0_64]) ).
cnf(c_0_72,plain,
product(product(X1,X2),quotient(one,quotient(one,X1))) = quotient(difference(difference(X1,one),X2),quotient(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_21]),c_0_67]) ).
cnf(c_0_73,plain,
quotient(X1,difference(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_74,plain,
product(X1,product(difference(X1,one),difference(X1,X2))) = product(difference(product(X1,X1),X1),X2),
inference(spm,[status(thm)],[c_0_68,c_0_16]) ).
cnf(c_0_75,plain,
difference(product(X1,quotient(product(X2,X1),X3)),product(X1,X2)) = quotient(X3,X1),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_76,plain,
product(product(X1,X2),difference(product(X1,X1),X1)) = product(X1,quotient(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_43]),c_0_29]) ).
cnf(c_0_77,plain,
product(quotient(one,X1),product(difference(X1,X2),product(X1,X1))) = product(difference(product(X1,X1),X2),product(X1,X1)),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_78,axiom,
product(i(X1),X1) = product(X1,j(X1)),
sos11 ).
cnf(c_0_79,axiom,
i(X1) = difference(X1,one),
sos09 ).
cnf(c_0_80,axiom,
j(X1) = quotient(one,X1),
sos10 ).
cnf(c_0_81,plain,
product(product(difference(X1,X2),X1),quotient(one,X1)) = product(X1,difference(product(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_69]) ).
cnf(c_0_82,plain,
product(product(difference(X1,one),product(X2,difference(X1,one))),X1) = product(difference(X1,one),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_40]),c_0_67]) ).
cnf(c_0_83,plain,
product(product(difference(X1,one),X2),quotient(one,X1)) = quotient(difference(difference(difference(X1,one),one),X2),X1),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
difference(X1,product(difference(product(X1,X1),X1),X2)) = product(difference(X1,one),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_21,c_0_74]) ).
cnf(c_0_85,plain,
quotient(product(X1,X2),quotient(X3,X1)) = product(X1,quotient(product(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_73,c_0_75]) ).
cnf(c_0_86,plain,
product(product(X1,product(X2,product(X3,X1))),difference(product(X1,X1),X1)) = product(product(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_14]),c_0_16]) ).
cnf(c_0_87,plain,
product(difference(product(X1,X1),quotient(X2,X1)),product(X1,X1)) = product(quotient(one,X1),product(difference(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_77,c_0_36]) ).
cnf(c_0_88,plain,
product(difference(X1,one),X1) = product(X1,quotient(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_89,plain,
product(X1,difference(product(X1,X1),quotient(X2,X1))) = quotient(difference(difference(difference(X1,one),one),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_71]),c_0_82]),c_0_83]) ).
cnf(c_0_90,plain,
difference(X1,product(quotient(one,X1),X2)) = product(difference(X1,one),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_84,c_0_43]) ).
cnf(c_0_91,plain,
quotient(product(X1,quotient(X2,X3)),quotient(X4,X3)) = product(X3,quotient(product(difference(X3,X1),X2),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_30]),c_0_13]) ).
cnf(c_0_92,negated_conjecture,
product(i(i(x0)),x1) != product(eta(x0),product(x0,x1)),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_93,axiom,
eta(X1) = product(i(X1),X1),
sos12 ).
cnf(c_0_94,plain,
product(product(difference(X1,one),X1),difference(X1,X2)) = difference(difference(difference(X1,one),one),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_86]),c_0_88]),c_0_89]),c_0_13]) ).
cnf(c_0_95,plain,
difference(difference(product(X1,X1),X1),product(quotient(one,X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_90]),c_0_21]),c_0_16]) ).
cnf(c_0_96,plain,
product(X1,difference(product(X1,X1),X1)) = product(difference(X1,one),X1),
inference(spm,[status(thm)],[c_0_88,c_0_43]) ).
cnf(c_0_97,plain,
quotient(quotient(X1,X2),quotient(X3,X2)) = product(X2,quotient(product(difference(X2,one),X1),X3)),
inference(spm,[status(thm)],[c_0_91,c_0_18]) ).
cnf(c_0_98,plain,
difference(X1,quotient(quotient(X2,X1),X3)) = quotient(product(difference(X1,one),X2),product(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_61]),c_0_16]) ).
cnf(c_0_99,plain,
quotient(quotient(X1,difference(X2,one)),X2) = product(X2,product(difference(X2,one),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_58]),c_0_49]) ).
cnf(c_0_100,negated_conjecture,
product(i(i(x0)),x1) != product(eta(x0),product(x0,x1)),
c_0_92 ).
cnf(c_0_101,plain,
eta(X1) = product(difference(X1,one),X1),
inference(rw,[status(thm)],[c_0_93,c_0_79]) ).
cnf(c_0_102,plain,
difference(difference(X1,one),product(quotient(one,X1),X2)) = product(product(difference(X1,one),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_59]),c_0_96]),c_0_59]) ).
cnf(c_0_103,plain,
product(quotient(X1,X2),product(X2,quotient(X3,X1))) = product(X1,product(X2,quotient(product(difference(X2,one),X3),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_24]),c_0_97]) ).
cnf(c_0_104,plain,
difference(difference(X1,one),product(X1,product(difference(X1,one),X2))) = product(difference(difference(X1,one),one),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_16]),c_0_49]) ).
cnf(c_0_105,negated_conjecture,
product(difference(difference(x0,one),one),x1) != product(product(difference(x0,one),x0),product(x0,x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_79]),c_0_79]),c_0_101]) ).
cnf(c_0_106,plain,
product(product(difference(X1,one),X1),product(X1,X2)) = product(difference(difference(X1,one),one),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_49]),c_0_18]),c_0_104]),c_0_49]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP765-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:40:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 159.63/24.39 % Version: 3.5.1
% 159.63/24.39 % Preprocessing class: FSSSSMSSSSSNFFN.
% 159.63/24.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.63/24.39 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 159.63/24.39 % Starting new_bool_3 with 300s (1) cores
% 159.63/24.39 % Starting new_bool_1 with 300s (1) cores
% 159.63/24.39 % Starting sh5l with 300s (1) cores
% 159.63/24.39 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2567334 completed with status 0
% 159.63/24.39 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 159.63/24.39 % Preprocessing class: FSSSSMSSSSSNFFN.
% 159.63/24.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.63/24.39 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 159.63/24.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 159.63/24.39 % No SInE strategy applied
% 159.63/24.39 % Search class: FUUPM-FFSF22-MFFFFFNN
% 159.63/24.39 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 159.63/24.39 % Starting SubtermCWHack with 136s (1) cores
% 159.63/24.39 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 159.63/24.39 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 159.63/24.39 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 159.63/24.39 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 159.63/24.39 % U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2567342 completed with status 0
% 159.63/24.39 % Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 159.63/24.39 % Preprocessing class: FSSSSMSSSSSNFFN.
% 159.63/24.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.63/24.39 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 159.63/24.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 159.63/24.39 % No SInE strategy applied
% 159.63/24.39 % Search class: FUUPM-FFSF22-MFFFFFNN
% 159.63/24.39 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 159.63/24.39 % Starting SubtermCWHack with 136s (1) cores
% 159.63/24.39 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 159.63/24.39 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 159.63/24.39 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 159.63/24.39 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 159.63/24.39 % Preprocessing time : 0.002 s
% 159.63/24.39 % Presaturation interreduction done
% 159.63/24.39
% 159.63/24.39 % Proof found!
% 159.63/24.39 % SZS status Unsatisfiable
% 159.63/24.39 % SZS output start CNFRefutation
% See solution above
% 159.63/24.39 % Parsed axioms : 13
% 159.63/24.39 % Removed by relevancy pruning/SinE : 0
% 159.63/24.39 % Initial clauses : 13
% 159.63/24.39 % Removed in clause preprocessing : 3
% 159.63/24.39 % Initial clauses in saturation : 10
% 159.63/24.39 % Processed clauses : 6440
% 159.63/24.39 % ...of these trivial : 2860
% 159.63/24.39 % ...subsumed : 2235
% 159.63/24.39 % ...remaining for further processing : 1345
% 159.63/24.39 % Other redundant clauses eliminated : 0
% 159.63/24.39 % Clauses deleted for lack of memory : 0
% 159.63/24.39 % Backward-subsumed : 1
% 159.63/24.39 % Backward-rewritten : 269
% 159.63/24.39 % Generated clauses : 515347
% 159.63/24.39 % ...of the previous two non-redundant : 437320
% 159.63/24.39 % ...aggressively subsumed : 0
% 159.63/24.39 % Contextual simplify-reflections : 0
% 159.63/24.39 % Paramodulations : 515347
% 159.63/24.39 % Factorizations : 0
% 159.63/24.39 % NegExts : 0
% 159.63/24.39 % Equation resolutions : 0
% 159.63/24.39 % Disequality decompositions : 0
% 159.63/24.39 % Total rewrite steps : 1449164
% 159.63/24.39 % ...of those cached : 1380727
% 159.63/24.39 % Propositional unsat checks : 0
% 159.63/24.39 % Propositional check models : 0
% 159.63/24.39 % Propositional check unsatisfiable : 0
% 159.63/24.39 % Propositional clauses : 0
% 159.63/24.39 % Propositional clauses after purity: 0
% 159.63/24.39 % Propositional unsat core size : 0
% 159.63/24.39 % Propositional preprocessing time : 0.000
% 159.63/24.39 % Propositional encoding time : 0.000
% 159.63/24.39 % Propositional solver time : 0.000
% 159.63/24.39 % Success case prop preproc time : 0.000
% 159.63/24.39 % Success case prop encoding time : 0.000
% 159.63/24.39 % Success case prop solver time : 0.000
% 159.63/24.39 % Current number of processed clauses : 1065
% 159.63/24.39 % Positive orientable unit clauses : 1047
% 159.63/24.39 % Positive unorientable unit clauses: 18
% 159.63/24.39 % Negative unit clauses : 0
% 159.63/24.39 % Non-unit-clauses : 0
% 159.63/24.39 % Current number of unprocessed clauses: 429307
% 159.63/24.39 % ...number of literals in the above : 429307
% 159.63/24.39 % Current number of archived formulas : 0
% 159.63/24.39 % Current number of archived clauses : 283
% 159.63/24.39 % Clause-clause subsumption calls (NU) : 0
% 159.63/24.39 % Rec. Clause-clause subsumption calls : 0
% 159.63/24.39 % Non-unit clause-clause subsumptions : 0
% 159.63/24.39 % Unit Clause-clause subsumption calls : 567
% 159.63/24.39 % Rewrite failures with RHS unbound : 0
% 159.63/24.39 % BW rewrite match attempts : 7031
% 159.63/24.39 % BW rewrite match successes : 1326
% 159.63/24.39 % Condensation attempts : 0
% 159.63/24.39 % Condensation successes : 0
% 159.63/24.39 % Termbank termtop insertions : 13295320
% 159.63/24.39 % Search garbage collected termcells : 2
% 159.63/24.39
% 159.63/24.39 % -------------------------------------------------
% 159.63/24.39 % User time : 22.563 s
% 159.63/24.39 % System time : 0.695 s
% 159.63/24.39 % Total time : 23.258 s
% 159.63/24.39 % Maximum resident set size: 3636 pages
% 159.63/24.39
% 159.63/24.39 % -------------------------------------------------
% 159.63/24.39 % User time : 109.372 s
% 159.63/24.39 % System time : 3.390 s
% 159.63/24.39 % Total time : 112.762 s
% 159.63/24.39 % Maximum resident set size: 4608 pages
% 159.63/24.39 % E exiting
%------------------------------------------------------------------------------