TSTP Solution File: GRP770-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP770-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:50:36 EDT 2023
% Result : Unsatisfiable 35.50s 4.99s
% Output : CNFRefutation 35.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of clauses : 115 ( 115 unt; 0 nHn; 3 RR)
% Number of literals : 115 ( 114 equ; 2 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 : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 218 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos12,axiom,
eta(X1) = product(i(X1),X1),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos12) ).
cnf(sos09,axiom,
i(X1) = difference(X1,one),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos09) ).
cnf(sos14,axiom,
product(X1,product(eta(X1),X2)) = product(j(j(X1)),X2),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos14) ).
cnf(sos10,axiom,
j(X1) = quotient(one,X1),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos10) ).
cnf(sos11,axiom,
product(i(X1),X1) = product(X1,j(X1)),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos11) ).
cnf(sos24,axiom,
product(j(product(X1,X2)),X1) = j(X2),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos24) ).
cnf(sos01,axiom,
product(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos01) ).
cnf(sos05,axiom,
quotient(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos05) ).
cnf(sos07,axiom,
difference(X1,product(product(X1,X2),X3)) = quotient(product(X2,product(X3,X1)),X1),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos07) ).
cnf(sos06,axiom,
product(quotient(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos06) ).
cnf(sos03,axiom,
product(X1,difference(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos03) ).
cnf(sos08,axiom,
difference(product(X1,X2),product(X1,product(X2,X3))) = quotient(quotient(product(X3,product(X1,X2)),X2),X1),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos08) ).
cnf(sos04,axiom,
difference(X1,product(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos04) ).
cnf(sos02,axiom,
product(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos02) ).
cnf(sos17,axiom,
quotient(j(X1),X1) = product(j(X1),i(X1)),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos17) ).
cnf(sos23,axiom,
product(X1,i(product(X2,X1))) = i(X2),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos23) ).
cnf(sos22,axiom,
product(j(j(X1)),j(product(X2,X1))) = j(X2),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos22) ).
cnf(sos16,axiom,
product(eta(X1),product(X2,X3)) = product(product(eta(X1),X2),X3),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos16) ).
cnf(sos13,axiom,
product(i(i(X1)),X2) = product(eta(X1),product(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',sos13) ).
cnf(goals,negated_conjecture,
product(x0,product(x1,x2)) != product(quotient(product(x0,x1),x0),product(x0,x2)),
file('/export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p',goals) ).
cnf(c_0_20,axiom,
eta(X1) = product(i(X1),X1),
sos12 ).
cnf(c_0_21,axiom,
i(X1) = difference(X1,one),
sos09 ).
cnf(c_0_22,axiom,
product(X1,product(eta(X1),X2)) = product(j(j(X1)),X2),
sos14 ).
cnf(c_0_23,axiom,
j(X1) = quotient(one,X1),
sos10 ).
cnf(c_0_24,plain,
eta(X1) = product(difference(X1,one),X1),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
product(i(X1),X1) = product(X1,j(X1)),
sos11 ).
cnf(c_0_26,plain,
product(X1,product(product(difference(X1,one),X1),X2)) = product(quotient(one,quotient(one,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
product(difference(X1,one),X1) = product(X1,quotient(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_21]),c_0_23]) ).
cnf(c_0_28,axiom,
product(j(product(X1,X2)),X1) = j(X2),
sos24 ).
cnf(c_0_29,plain,
product(X1,product(product(X1,quotient(one,X1)),X2)) = product(quotient(one,quotient(one,X1)),X2),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
product(X1,one) = X1,
sos01 ).
cnf(c_0_31,axiom,
quotient(product(X1,X2),X2) = X1,
sos05 ).
cnf(c_0_32,plain,
product(quotient(one,product(X1,X2)),X1) = quotient(one,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_23]),c_0_23]) ).
cnf(c_0_33,axiom,
difference(X1,product(product(X1,X2),X3)) = quotient(product(X2,product(X3,X1)),X1),
sos07 ).
cnf(c_0_34,axiom,
product(quotient(X1,X2),X2) = X1,
sos06 ).
cnf(c_0_35,plain,
product(X1,product(X1,quotient(one,X1))) = quotient(one,quotient(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_30]) ).
cnf(c_0_36,plain,
quotient(quotient(one,X1),X2) = quotient(one,product(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,axiom,
product(X1,difference(X1,X2)) = X2,
sos03 ).
cnf(c_0_38,plain,
difference(X1,product(product(X1,X2),quotient(X3,X1))) = quotient(product(X2,X3),X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,axiom,
difference(product(X1,X2),product(X1,product(X2,X3))) = quotient(quotient(product(X3,product(X1,X2)),X2),X1),
sos08 ).
cnf(c_0_40,plain,
quotient(one,product(product(X1,quotient(one,X1)),quotient(one,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_35]),c_0_36]) ).
cnf(c_0_41,plain,
product(product(X1,X2),quotient(X3,X1)) = product(X1,quotient(product(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,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_39,c_0_33]) ).
cnf(c_0_43,axiom,
difference(X1,product(X1,X2)) = X2,
sos04 ).
cnf(c_0_44,plain,
quotient(one,product(X1,quotient(one,product(X1,X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_30]),c_0_36]) ).
cnf(c_0_45,plain,
quotient(difference(X1,product(X2,X3)),X3) = difference(product(X3,X1),product(X3,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_37]) ).
cnf(c_0_46,plain,
difference(X1,X1) = one,
inference(spm,[status(thm)],[c_0_43,c_0_30]) ).
cnf(c_0_47,plain,
product(X1,product(X1,quotient(one,product(X1,X1)))) = one,
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_48,axiom,
product(one,X1) = X1,
sos02 ).
cnf(c_0_49,axiom,
quotient(j(X1),X1) = product(j(X1),i(X1)),
sos17 ).
cnf(c_0_50,axiom,
product(X1,i(product(X2,X1))) = i(X2),
sos23 ).
cnf(c_0_51,plain,
difference(product(X1,product(X2,X1)),product(X1,X2)) = quotient(one,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
quotient(difference(X1,X2),X2) = difference(product(X2,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_47]),c_0_48]),c_0_30]) ).
cnf(c_0_53,plain,
difference(quotient(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_43,c_0_34]) ).
cnf(c_0_54,plain,
quotient(quotient(one,X1),X1) = product(quotient(one,X1),difference(X1,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_21]),c_0_23]),c_0_23]) ).
cnf(c_0_55,plain,
product(X1,difference(product(X2,X1),one)) = difference(X2,one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_21]),c_0_21]) ).
cnf(c_0_56,plain,
difference(product(X1,X2),product(X1,quotient(X2,X1))) = quotient(one,X1),
inference(spm,[status(thm)],[c_0_51,c_0_34]) ).
cnf(c_0_57,plain,
quotient(X1,difference(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_31,c_0_37]) ).
cnf(c_0_58,plain,
difference(product(X1,quotient(X1,X2)),X1) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
product(quotient(one,X1),difference(X1,one)) = quotient(one,product(X1,X1)),
inference(rw,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_60,plain,
product(X1,difference(X2,one)) = difference(quotient(X2,X1),one),
inference(spm,[status(thm)],[c_0_55,c_0_34]) ).
cnf(c_0_61,plain,
product(quotient(one,X1),quotient(X1,X2)) = quotient(one,X2),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_62,plain,
difference(product(quotient(X1,X2),product(X2,X1)),X1) = quotient(one,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_56]),c_0_36]),c_0_34]),c_0_34]) ).
cnf(c_0_63,plain,
quotient(X1,quotient(X2,X1)) = product(X1,quotient(X1,X2)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
quotient(X1,one) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
cnf(c_0_65,plain,
quotient(one,difference(X1,X2)) = product(quotient(one,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_66,plain,
difference(quotient(X1,quotient(one,X1)),one) = quotient(one,product(X1,X1)),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
difference(quotient(one,X1),quotient(one,X2)) = quotient(X1,X2),
inference(spm,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_68,plain,
product(quotient(X1,X2),product(X2,X1)) = product(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_62]),c_0_63]),c_0_64]) ).
cnf(c_0_69,plain,
product(difference(product(X1,X2),X1),X1) = difference(X2,X1),
inference(spm,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_70,axiom,
product(j(j(X1)),j(product(X2,X1))) = j(X2),
sos22 ).
cnf(c_0_71,plain,
quotient(one,quotient(one,product(X1,X1))) = quotient(X1,quotient(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_64]),c_0_48]) ).
cnf(c_0_72,plain,
difference(product(quotient(one,X1),X2),one) = difference(X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_65]) ).
cnf(c_0_73,plain,
quotient(X1,difference(X2,one)) = difference(quotient(one,X1),X2),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
cnf(c_0_74,plain,
difference(one,X1) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_75,plain,
difference(quotient(X1,X2),product(X1,X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_68]) ).
cnf(c_0_76,plain,
product(difference(X1,X2),X2) = difference(difference(X2,X1),X2),
inference(spm,[status(thm)],[c_0_69,c_0_37]) ).
cnf(c_0_77,plain,
quotient(product(X1,quotient(product(X2,X3),X1)),quotient(X3,X1)) = product(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
cnf(c_0_78,plain,
product(quotient(one,quotient(one,X1)),quotient(one,product(X2,X1))) = quotient(one,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_79,plain,
quotient(X1,quotient(one,X1)) = product(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_71]) ).
cnf(c_0_80,plain,
difference(product(X1,X2),one) = difference(X2,difference(X1,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_64]),c_0_74]) ).
cnf(c_0_81,plain,
difference(difference(X1,X2),X1) = difference(X2,product(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_57]),c_0_76]) ).
cnf(c_0_82,plain,
product(X1,quotient(product(difference(X1,X2),X3),X1)) = product(X2,quotient(X3,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_83,plain,
quotient(product(X1,quotient(X2,X1)),quotient(X3,X1)) = product(X1,quotient(X2,X3)),
inference(spm,[status(thm)],[c_0_77,c_0_34]) ).
cnf(c_0_84,plain,
product(quotient(one,quotient(one,X1)),quotient(one,X2)) = quotient(one,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_78,c_0_34]) ).
cnf(c_0_85,plain,
quotient(one,product(X1,X1)) = difference(X1,difference(X1,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_79]),c_0_80]) ).
cnf(c_0_86,plain,
product(difference(X1,X2),X2) = difference(X1,product(X2,X2)),
inference(rw,[status(thm)],[c_0_76,c_0_81]) ).
cnf(c_0_87,plain,
product(X1,quotient(difference(X1,X2),X1)) = product(X2,quotient(one,X1)),
inference(spm,[status(thm)],[c_0_82,c_0_30]) ).
cnf(c_0_88,plain,
quotient(product(X1,quotient(X2,X1)),X3) = product(X1,quotient(X2,product(X3,X1))),
inference(spm,[status(thm)],[c_0_83,c_0_31]) ).
cnf(c_0_89,axiom,
product(eta(X1),product(X2,X3)) = product(product(eta(X1),X2),X3),
sos16 ).
cnf(c_0_90,axiom,
product(i(i(X1)),X2) = product(eta(X1),product(X1,X2)),
sos13 ).
cnf(c_0_91,plain,
quotient(one,quotient(X1,product(X2,X2))) = product(product(X2,X2),quotient(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_65]),c_0_57]) ).
cnf(c_0_92,plain,
product(product(X1,X1),quotient(one,X2)) = product(X1,quotient(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_86]),c_0_87]) ).
cnf(c_0_93,plain,
product(X1,quotient(product(X2,X1),product(X3,X1))) = quotient(product(X1,X2),X3),
inference(spm,[status(thm)],[c_0_88,c_0_31]) ).
cnf(c_0_94,plain,
product(X1,quotient(X1,product(X2,X1))) = quotient(X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_31]) ).
cnf(c_0_95,plain,
product(product(difference(X1,one),X1),product(X2,X3)) = product(product(product(difference(X1,one),X1),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_24]),c_0_24]) ).
cnf(c_0_96,plain,
product(difference(difference(X1,one),one),X2) = product(product(difference(X1,one),X1),product(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_21]),c_0_21]),c_0_24]) ).
cnf(c_0_97,plain,
quotient(one,quotient(X1,product(X2,X2))) = product(X2,quotient(X2,X1)),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,plain,
quotient(product(X1,X2),product(X3,X2)) = difference(X2,quotient(product(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_43,c_0_93]) ).
cnf(c_0_99,plain,
quotient(X1,product(X2,X1)) = difference(X1,quotient(X1,X2)),
inference(spm,[status(thm)],[c_0_43,c_0_94]) ).
cnf(c_0_100,plain,
product(product(product(X1,quotient(one,X1)),X2),X3) = product(product(X1,quotient(one,X1)),product(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_27]),c_0_27]) ).
cnf(c_0_101,plain,
product(product(X1,quotient(one,X1)),product(X1,X2)) = product(difference(difference(X1,one),one),X2),
inference(rw,[status(thm)],[c_0_96,c_0_27]) ).
cnf(c_0_102,plain,
product(quotient(one,X1),quotient(one,quotient(one,X1))) = product(X1,quotient(one,X1)),
inference(spm,[status(thm)],[c_0_27,c_0_53]) ).
cnf(c_0_103,plain,
product(quotient(one,quotient(product(X1,X2),X1)),X1) = quotient(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_65]),c_0_99]),c_0_37]) ).
cnf(c_0_104,plain,
product(X1,quotient(product(product(X1,quotient(one,X1)),product(X2,X3)),X1)) = product(product(quotient(one,quotient(one,X1)),X2),quotient(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_29]),c_0_100]) ).
cnf(c_0_105,plain,
product(product(X1,quotient(one,X1)),quotient(one,X2)) = product(difference(X1,one),quotient(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_61]),c_0_53]),c_0_102]) ).
cnf(c_0_106,plain,
quotient(product(difference(X1,X2),X3),X1) = difference(X1,product(X2,quotient(X3,X1))),
inference(spm,[status(thm)],[c_0_43,c_0_82]) ).
cnf(c_0_107,plain,
quotient(one,quotient(product(X1,X2),X1)) = quotient(quotient(X1,X2),X1),
inference(spm,[status(thm)],[c_0_31,c_0_103]) ).
cnf(c_0_108,plain,
quotient(one,quotient(product(X1,X2),product(X1,X3))) = quotient(quotient(X1,quotient(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_84]),c_0_105]),c_0_106]),c_0_48]),c_0_37]),c_0_84]),c_0_36]),c_0_36]),c_0_84]) ).
cnf(c_0_109,plain,
difference(quotient(quotient(X1,X2),X1),one) = quotient(product(X1,X2),X1),
inference(spm,[status(thm)],[c_0_53,c_0_107]) ).
cnf(c_0_110,plain,
quotient(product(X1,quotient(X2,X3)),X1) = quotient(product(X1,X2),product(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_108]),c_0_109]) ).
cnf(c_0_111,plain,
quotient(product(X1,product(X2,X3)),product(X1,X3)) = quotient(product(X1,X2),X1),
inference(spm,[status(thm)],[c_0_110,c_0_31]) ).
cnf(c_0_112,negated_conjecture,
product(x0,product(x1,x2)) != product(quotient(product(x0,x1),x0),product(x0,x2)),
goals ).
cnf(c_0_113,plain,
product(quotient(product(X1,X2),X1),product(X1,X3)) = product(X1,product(X2,X3)),
inference(spm,[status(thm)],[c_0_34,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP770-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 02:36:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ROxt5kasOC/E---3.1_3689.p
% 35.50/4.99 # Version: 3.1pre001
% 35.50/4.99 # Preprocessing class: FSMSSMSSSSSNFFN.
% 35.50/4.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.50/4.99 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.50/4.99 # Starting new_bool_3 with 300s (1) cores
% 35.50/4.99 # Starting new_bool_1 with 300s (1) cores
% 35.50/4.99 # Starting sh5l with 300s (1) cores
% 35.50/4.99 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3766 completed with status 0
% 35.50/4.99 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 35.50/4.99 # Preprocessing class: FSMSSMSSSSSNFFN.
% 35.50/4.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.50/4.99 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.50/4.99 # No SInE strategy applied
% 35.50/4.99 # Search class: FUUPM-FFMF22-MFFFFFNN
% 35.50/4.99 # partial match(1): FUUPM-FFSF22-MFFFFFNN
% 35.50/4.99 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 35.50/4.99 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 35.50/4.99 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 35.50/4.99 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 35.50/4.99 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 35.50/4.99 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 35.50/4.99 # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 3772 completed with status 0
% 35.50/4.99 # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 35.50/4.99 # Preprocessing class: FSMSSMSSSSSNFFN.
% 35.50/4.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.50/4.99 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 35.50/4.99 # No SInE strategy applied
% 35.50/4.99 # Search class: FUUPM-FFMF22-MFFFFFNN
% 35.50/4.99 # partial match(1): FUUPM-FFSF22-MFFFFFNN
% 35.50/4.99 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 35.50/4.99 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 35.50/4.99 # Preprocessing time : 0.001 s
% 35.50/4.99 # Presaturation interreduction done
% 35.50/4.99
% 35.50/4.99 # Proof found!
% 35.50/4.99 # SZS status Unsatisfiable
% 35.50/4.99 # SZS output start CNFRefutation
% See solution above
% 35.50/4.99 # Parsed axioms : 25
% 35.50/4.99 # Removed by relevancy pruning/SinE : 0
% 35.50/4.99 # Initial clauses : 25
% 35.50/4.99 # Removed in clause preprocessing : 4
% 35.50/4.99 # Initial clauses in saturation : 21
% 35.50/4.99 # Processed clauses : 2037
% 35.50/4.99 # ...of these trivial : 1099
% 35.50/4.99 # ...subsumed : 0
% 35.50/4.99 # ...remaining for further processing : 938
% 35.50/4.99 # Other redundant clauses eliminated : 0
% 35.50/4.99 # Clauses deleted for lack of memory : 0
% 35.50/4.99 # Backward-subsumed : 0
% 35.50/4.99 # Backward-rewritten : 249
% 35.50/4.99 # Generated clauses : 292319
% 35.50/4.99 # ...of the previous two non-redundant : 239140
% 35.50/4.99 # ...aggressively subsumed : 0
% 35.50/4.99 # Contextual simplify-reflections : 0
% 35.50/4.99 # Paramodulations : 292319
% 35.50/4.99 # Factorizations : 0
% 35.50/4.99 # NegExts : 0
% 35.50/4.99 # Equation resolutions : 0
% 35.50/4.99 # Total rewrite steps : 1143449
% 35.50/4.99 # Propositional unsat checks : 0
% 35.50/4.99 # Propositional check models : 0
% 35.50/4.99 # Propositional check unsatisfiable : 0
% 35.50/4.99 # Propositional clauses : 0
% 35.50/4.99 # Propositional clauses after purity: 0
% 35.50/4.99 # Propositional unsat core size : 0
% 35.50/4.99 # Propositional preprocessing time : 0.000
% 35.50/4.99 # Propositional encoding time : 0.000
% 35.50/4.99 # Propositional solver time : 0.000
% 35.50/4.99 # Success case prop preproc time : 0.000
% 35.50/4.99 # Success case prop encoding time : 0.000
% 35.50/4.99 # Success case prop solver time : 0.000
% 35.50/4.99 # Current number of processed clauses : 668
% 35.50/4.99 # Positive orientable unit clauses : 668
% 35.50/4.99 # Positive unorientable unit clauses: 0
% 35.50/4.99 # Negative unit clauses : 0
% 35.50/4.99 # Non-unit-clauses : 0
% 35.50/4.99 # Current number of unprocessed clauses: 235772
% 35.50/4.99 # ...number of literals in the above : 235772
% 35.50/4.99 # Current number of archived formulas : 0
% 35.50/4.99 # Current number of archived clauses : 274
% 35.50/4.99 # Clause-clause subsumption calls (NU) : 0
% 35.50/4.99 # Rec. Clause-clause subsumption calls : 0
% 35.50/4.99 # Non-unit clause-clause subsumptions : 0
% 35.50/4.99 # Unit Clause-clause subsumption calls : 0
% 35.50/4.99 # Rewrite failures with RHS unbound : 0
% 35.50/4.99 # BW rewrite match attempts : 4285
% 35.50/4.99 # BW rewrite match successes : 220
% 35.50/4.99 # Condensation attempts : 0
% 35.50/4.99 # Condensation successes : 0
% 35.50/4.99 # Termbank termtop insertions : 7529159
% 35.50/4.99
% 35.50/4.99 # -------------------------------------------------
% 35.50/4.99 # User time : 4.066 s
% 35.50/4.99 # System time : 0.180 s
% 35.50/4.99 # Total time : 4.246 s
% 35.50/4.99 # Maximum resident set size: 1652 pages
% 35.50/4.99
% 35.50/4.99 # -------------------------------------------------
% 35.50/4.99 # User time : 20.839 s
% 35.50/4.99 # System time : 0.946 s
% 35.50/4.99 # Total time : 21.785 s
% 35.50/4.99 # Maximum resident set size: 1680 pages
% 35.50/4.99 % E---3.1 exiting
%------------------------------------------------------------------------------