0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_epr.jar %d %s 0.02/0.23 % Computer : n145.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:34:25 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.30 openjdk version "1.8.0_144" 0.06/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.06/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.41 start to proof:theBenchmark.p 2.18/2.35 % Version : CSE_E---1.0 2.18/2.35 % Problem : theBenchmark.p 2.18/2.35 % Proof found! 2.18/2.35 % SZS status Theorem for theBenchmark.p 2.18/2.35 % SZS output start Proof 2.18/2.35 fof(aSatz7_19, conjecture, (![X12]:![X15]:![X13]:(s(X12,s(X15,X13))!=s(X15,s(X12,X13))|X15=X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_19)). 2.18/2.35 fof(aSatz7_7, axiom, (![X12]:![X13]:X13=s(X12,s(X12,X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_7)). 2.18/2.35 fof(aSatz7_9, axiom, (![X12]:![X13]:![X16]:(X13=X16|s(X12,X13)!=s(X12,X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_9)). 2.18/2.35 fof(aSatz7_10b, axiom, (![X12]:![X13]:(X13=s(X12,X13)|X13!=X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_10b)). 2.18/2.35 fof(aSatz6_4a, axiom, (![X12]:![X13]:![X15]:((s_col(X12,X13,X15)|~(sameside(X12,X13,X15)))&(~(s_t(X12,X13,X15))|~(sameside(X12,X13,X15))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz6_4a)). 2.18/2.35 fof(d_Defn6_1, axiom, (![X12]:![X13]:![X15]:(((((X13!=X12|~(sameside(X12,X13,X15)))&(~(sameside(X12,X13,X15))|X13!=X15))&(((~(s_t(X13,X15,X12))|sameside(X12,X13,X15))|X15=X13)|X12=X13))&(((~(s_t(X13,X12,X15))|X12=X13)|xb=X13)|sameside(X12,X13,X15)))&((s_t(X13,X12,X15)|s_t(X13,X15,X12))|~(sameside(X12,X13,X15))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d_Defn6_1)). 2.18/2.35 fof(aSatz7_10a, axiom, (![X12]:![X13]:(X12=X13|X13!=s(X12,X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_10a)). 2.18/2.35 fof(aSatz7_15a, axiom, (![X13]:![X16]:![X27]:![X12]:(s_t(s(X12,X13),s(X12,X16),s(X12,X27))|~(s_t(X13,X16,X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_15a)). 2.18/2.35 fof(aSatz3_1, axiom, (![X12]:![X15]:s_t(X12,X15,X15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_1)). 2.18/2.35 fof(aSatz7_4a, axiom, (![X13]:![X12]:s_m(X13,X12,s(X12,X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_4a)). 2.18/2.35 fof(aSatz7_18, axiom, (![X12]:![X13]:![X15]:(s(X15,X13)!=s(X12,X13)|X12=X15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_18)). 2.18/2.35 fof(d_Defn7_1, axiom, (![X12]:![X24]:![X15]:(((s_e(X24,X12,X24,X15)|~(s_m(X12,X24,X15)))&((~(s_e(X24,X12,X24,X15))|s_m(X12,X24,X15))|~(s_t(X12,X24,X15))))&(s_t(X12,X24,X15)|~(s_m(X12,X24,X15))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d_Defn7_1)). 2.18/2.35 fof(aA7, axiom, (![X12]:![X13]:![X14]:![X15]:![X16]:(((~(s_t(X15,X16,X14))|s_t(X13,ip(X12,X13,X14,X15,X16),X15))|~(s_t(X12,X13,X14)))&((~(s_t(X12,X13,X14))|~(s_t(X15,X16,X14)))|s_t(X16,ip(X12,X13,X14,X15,X16),X12)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax', aA7)). 2.18/2.35 fof(aSatz4_18, axiom, (![X12]:![X15]:![X14]:![X23]:((((~(s_col(X12,X15,X14))|~(s_e(X15,X14,X15,X23)))|X23=X14)|~(s_e(X12,X14,X12,X23)))|X15=X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz4_18)). 2.18/2.35 fof(aSatz7_16a, axiom, (![X13]:![X16]:![X27]:![X39]:![X12]:(s_e(s(X12,X13),s(X12,X16),s(X12,X27),s(X12,X39))|~(s_e(X13,X16,X27,X39)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_16a)). 2.18/2.35 fof(aSatz3_2, axiom, (![X12]:![X15]:![X14]:(s_t(X14,X15,X12)|~(s_t(X12,X15,X14)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_2)). 2.18/2.35 fof(d_Defn4_10, axiom, (![X12]:![X15]:![X14]:((((((s_t(X12,X15,X14)|s_t(X14,X12,X15))|s_t(X15,X14,X12))|~(s_col(X12,X15,X14)))&(~(s_t(X14,X12,X15))|s_col(X12,X15,X14)))&(~(s_t(X15,X14,X12))|s_col(X12,X15,X14)))&(s_col(X12,X15,X14)|~(s_t(X12,X15,X14))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d_Defn4_10)). 2.18/2.35 fof(aSatz3_7b, axiom, (![X12]:![X15]:![X14]:![X25]:(((~(s_t(X12,X15,X14))|~(s_t(X15,X14,X25)))|X14=X15)|s_t(X12,X15,X25))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_7b)). 2.18/2.35 fof(aSatz7_13, axiom, (![X13]:![X16]:![X12]:s_e(X13,X16,s(X12,X13),s(X12,X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_13)). 2.18/2.35 fof(aSatz3_5a, axiom, (![X12]:![X15]:![X25]:![X14]:((~(s_t(X12,X15,X25))|s_t(X12,X15,X14))|~(s_t(X15,X14,X25)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_5a)). 2.18/2.35 fof(aSatz3_6b, axiom, (![X12]:![X15]:![X14]:![X25]:((~(s_t(X12,X15,X14))|s_t(X12,X15,X25))|~(s_t(X12,X14,X25)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_6b)). 2.18/2.35 fof(aSatz3_4, axiom, (![X12]:![X15]:![X14]:((~(s_t(X12,X15,X14))|~(s_t(X15,X12,X14)))|X12=X15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_4)). 2.18/2.35 fof(aSatz2_3, axiom, (![X12]:![X15]:![X14]:![X25]:![X32]:![X33]:((~(s_e(X12,X15,X14,X25))|s_e(X12,X15,X32,X33))|~(s_e(X14,X25,X32,X33)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz2_3)). 2.18/2.35 fof(aA2, axiom, (![X1]:![X2]:![X3]:![X7]:![X10]:![X11]:((~(s_e(X1,X2,X3,X7))|~(s_e(X1,X2,X10,X11)))|s_e(X3,X7,X10,X11))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax', aA2)). 2.18/2.35 fof(aSatz7_15b, axiom, (![X13]:![X16]:![X27]:![X12]:(~(s_t(s(X12,X13),s(X12,X16),s(X12,X27)))|s_t(X13,X16,X27))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_15b)). 2.18/2.35 fof(aSatz3_3, axiom, (![X17]:![X20]:s_t(X17,X17,X20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz3_3)). 2.18/2.35 fof(aSatz7_17, axiom, (![X13]:![X12]:![X16]:![X15]:((~(s_m(X13,X15,X16))|X15=X12)|~(s_m(X13,X12,X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aSatz7_17)). 2.18/2.35 fof(c_0_27, negated_conjecture, (~(![X12]:![X15]:![X13]:(s(X12,s(X15,X13))!=s(X15,s(X12,X13))|X15=X12))), inference(assume_negation,[status(cth)],[aSatz7_19])). 2.18/2.35 fof(c_0_28, plain, (![X14]:![X15]:X15=s(X14,s(X14,X15))), inference(variable_rename,[status(thm)],[aSatz7_7])). 2.18/2.35 fof(c_0_29, negated_conjecture, ((s(esk1_0,s(esk2_0,esk3_0))=s(esk2_0,s(esk1_0,esk3_0))&esk2_0!=esk1_0)), inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])). 2.18/2.35 fof(c_0_30, plain, (![X17]:![X18]:![X19]:(X18=X19|s(X17,X18)!=s(X17,X19))), inference(variable_rename,[status(thm)],[aSatz7_9])). 2.18/2.35 cnf(c_0_31,plain,(X1=s(X2,s(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_28])). 2.18/2.35 cnf(c_0_32,negated_conjecture,(s(esk1_0,s(esk2_0,esk3_0))=s(esk2_0,s(esk1_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_29])). 2.18/2.35 fof(c_0_33, plain, (![X14]:![X15]:(X15=s(X14,X15)|X15!=X14)), inference(variable_rename,[status(thm)],[aSatz7_10b])). 2.18/2.35 cnf(c_0_34,plain,(X2=X3|s(X1,X2)!=s(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_30])). 2.18/2.35 cnf(c_0_35,negated_conjecture,(s(esk1_0,s(esk2_0,s(esk1_0,esk3_0)))=s(esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_31, c_0_32])). 2.18/2.35 cnf(c_0_36,plain,(X1=s(X2,X1)|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_33])). 2.18/2.35 fof(c_0_37, plain, (![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:((s_col(X16,X17,X18)|~sameside(X16,X17,X18))&(~s_t(X16,X17,X18)|~sameside(X16,X17,X18)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz6_4a])])])])). 2.18/2.35 fof(c_0_38, plain, (![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:(((((X17!=X16|~sameside(X16,X17,X18))&(~sameside(X16,X17,X18)|X17!=X18))&(((~s_t(X17,X18,X16)|sameside(X16,X17,X18))|X18=X17)|X16=X17))&(((~s_t(X17,X16,X18)|X16=X17)|xb=X17)|sameside(X16,X17,X18)))&((s_t(X17,X16,X18)|s_t(X17,X18,X16))|~sameside(X16,X17,X18)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn6_1])])])])). 2.18/2.35 cnf(c_0_39,negated_conjecture,(X1=s(esk2_0,s(esk1_0,esk3_0))|s(esk1_0,X1)!=s(esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 2.18/2.35 cnf(c_0_40,plain,(s(X1,X1)=X1), inference(er,[status(thm)],[c_0_36])). 2.18/2.35 fof(c_0_41, plain, (![X14]:![X15]:(X14=X15|X15!=s(X14,X15))), inference(variable_rename,[status(thm)],[aSatz7_10a])). 2.18/2.35 cnf(c_0_42,plain,(~sameside(X1,X2,X3)|~s_t(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_37])). 2.18/2.35 cnf(c_0_43,plain,(X1=X2|X3=X2|sameside(X1,X2,X3)|~s_t(X2,X3,X1)), inference(split_conjunct,[status(thm)],[c_0_38])). 2.18/2.35 fof(c_0_44, plain, (![X28]:![X29]:![X30]:![X31]:(s_t(s(X31,X28),s(X31,X29),s(X31,X30))|~s_t(X28,X29,X30))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz7_15a])])])])). 2.18/2.35 cnf(c_0_45,negated_conjecture,(s(esk2_0,s(esk1_0,esk3_0))=esk1_0|s(esk2_0,esk3_0)!=esk1_0), inference(spm,[status(thm)],[c_0_39, c_0_40])). 2.18/2.35 cnf(c_0_46,plain,(X2=X1|X1!=s(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_41])). 2.18/2.35 cnf(c_0_47,plain,(X1=X2|X2=X3|~s_t(X1,X2,X3)|~s_t(X2,X3,X1)), inference(spm,[status(thm)],[c_0_42, c_0_43])). 2.18/2.35 cnf(c_0_48,plain,(s_t(s(X4,X1),s(X4,X2),s(X4,X3))|~s_t(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_44])). 2.18/2.35 cnf(c_0_49,negated_conjecture,(X1=s(esk2_0,esk3_0)|s(esk1_0,X1)!=s(esk2_0,s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_34, c_0_32])). 2.18/2.35 cnf(c_0_50,negated_conjecture,(s(esk1_0,esk3_0)=s(esk2_0,esk1_0)|s(esk2_0,esk3_0)!=esk1_0), inference(spm,[status(thm)],[c_0_31, c_0_45])). 2.18/2.35 cnf(c_0_51,plain,(s(X1,X2)=X1|s(X1,X2)!=X2), inference(spm,[status(thm)],[c_0_46, c_0_31])). 2.18/2.35 cnf(c_0_52,negated_conjecture,(esk2_0!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_29])). 2.18/2.35 cnf(c_0_53,plain,(s(X1,X2)=s(X1,X3)|s(X1,X4)=s(X1,X2)|~s_t(s(X1,X2),s(X1,X3),s(X1,X4))|~s_t(X4,X2,X3)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 2.18/2.35 cnf(c_0_54,negated_conjecture,(X1=s(esk2_0,esk3_0)|s(esk2_0,esk3_0)!=esk1_0|s(esk1_0,X1)!=esk1_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_31])). 2.18/2.35 cnf(c_0_55,negated_conjecture,(s(esk1_0,esk3_0)!=esk1_0|s(esk2_0,esk3_0)!=esk1_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_45]), c_0_52])). 2.18/2.35 cnf(c_0_56,plain,(s(X1,X2)=X3|X3=s(X1,X4)|~s_t(X3,s(X1,X4),s(X1,X2))|~s_t(X2,s(X1,X3),X4)), inference(spm,[status(thm)],[c_0_53, c_0_31])). 2.18/2.35 fof(c_0_57, plain, (![X16]:![X17]:s_t(X16,X17,X17)), inference(variable_rename,[status(thm)],[aSatz3_1])). 2.18/2.35 fof(c_0_58, plain, (![X14]:![X15]:s_m(X14,X15,s(X15,X14))), inference(variable_rename,[status(thm)],[aSatz7_4a])). 2.18/2.35 fof(c_0_59, plain, (![X16]:![X17]:![X18]:(s(X18,X17)!=s(X16,X17)|X16=X18)), inference(variable_rename,[status(thm)],[aSatz7_18])). 2.18/2.35 cnf(c_0_60,negated_conjecture,(s(esk2_0,s(esk1_0,esk3_0))=s(esk2_0,esk3_0)|s(esk2_0,esk3_0)!=esk1_0), inference(spm,[status(thm)],[c_0_54, c_0_35])). 2.18/2.35 cnf(c_0_61,plain,(X1=X2|s(X2,X1)!=X2), inference(spm,[status(thm)],[c_0_34, c_0_40])). 2.18/2.35 cnf(c_0_62,negated_conjecture,(s(esk1_0,s(esk2_0,esk1_0))=esk3_0|s(esk2_0,esk3_0)!=esk1_0), inference(spm,[status(thm)],[c_0_31, c_0_50])). 2.18/2.35 cnf(c_0_63,negated_conjecture,(s(esk2_0,esk1_0)!=esk1_0|s(esk2_0,esk3_0)!=esk1_0), inference(spm,[status(thm)],[c_0_55, c_0_50])). 2.18/2.35 cnf(c_0_64,plain,(X1=s(X2,X3)|X2=X1|~s_t(X1,s(X2,X3),X2)|~s_t(X2,s(X2,X1),X3)), inference(spm,[status(thm)],[c_0_56, c_0_40])). 2.18/2.35 cnf(c_0_65,plain,(s_t(X1,X2,X2)), inference(split_conjunct,[status(thm)],[c_0_57])). 2.18/2.35 fof(c_0_66, plain, (![X25]:![X26]:![X27]:![X25]:![X26]:![X27]:![X25]:![X26]:![X27]:(((s_e(X26,X25,X26,X27)|~s_m(X25,X26,X27))&((~s_e(X26,X25,X26,X27)|s_m(X25,X26,X27))|~s_t(X25,X26,X27)))&(s_t(X25,X26,X27)|~s_m(X25,X26,X27)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn7_1])])])])). 2.18/2.35 cnf(c_0_67,plain,(s_m(X1,X2,s(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_58])). 2.18/2.35 cnf(c_0_68,plain,(X1=X2|s(X2,X3)!=s(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_59])). 2.18/2.35 cnf(c_0_69,negated_conjecture,(s(esk1_0,esk3_0)=esk3_0|s(esk2_0,esk3_0)!=esk1_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_60]), c_0_31])). 2.18/2.35 cnf(c_0_70,negated_conjecture,(s(esk2_0,esk3_0)!=esk1_0|esk3_0!=esk1_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])). 2.18/2.35 cnf(c_0_71,plain,(X1=X2|~s_t(X2,s(X2,X1),X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_40]), c_0_65])])). 2.18/2.35 fof(c_0_72, plain, (![X17]:![X18]:![X19]:![X20]:![X21]:![X17]:![X18]:![X19]:![X20]:![X21]:(((~s_t(X20,X21,X19)|s_t(X18,ip(X17,X18,X19,X20,X21),X20))|~s_t(X17,X18,X19))&((~s_t(X17,X18,X19)|~s_t(X20,X21,X19))|s_t(X21,ip(X17,X18,X19,X20,X21),X17)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA7])])])])). 2.18/2.35 fof(c_0_73, plain, (![X24]:![X25]:![X26]:![X27]:((((~s_col(X24,X25,X26)|~s_e(X25,X26,X25,X27))|X27=X26)|~s_e(X24,X26,X24,X27))|X25=X24)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz4_18])])])])). 2.18/2.35 cnf(c_0_74,plain,(s_e(X2,X1,X2,X3)|~s_m(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_66])). 2.18/2.35 cnf(c_0_75,negated_conjecture,(s_m(s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_67, c_0_32])). 2.18/2.35 cnf(c_0_76,negated_conjecture,(X1=esk1_0|s(X1,s(esk2_0,esk3_0))!=s(esk2_0,s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_68, c_0_32])). 2.18/2.35 cnf(c_0_77,negated_conjecture,(s(esk2_0,esk3_0)!=esk1_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_69]), c_0_70])). 2.18/2.35 cnf(c_0_78,plain,(s(X1,X2)=X1|~s_t(X1,X2,X1)), inference(spm,[status(thm)],[c_0_71, c_0_31])). 2.18/2.35 cnf(c_0_79,plain,(s_t(X1,ip(X2,X3,X4,X5,X1),X2)|~s_t(X5,X1,X4)|~s_t(X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_72])). 2.18/2.35 cnf(c_0_80,plain,(X1=X2|X4=X3|~s_e(X2,X3,X2,X4)|~s_e(X1,X3,X1,X4)|~s_col(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_73])). 2.18/2.35 cnf(c_0_81,negated_conjecture,(s_e(esk1_0,s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 2.18/2.35 cnf(c_0_82,negated_conjecture,(s(esk2_0,s(esk1_0,esk3_0))!=s(esk2_0,esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_40]), c_0_77])). 2.18/2.35 fof(c_0_83, plain, (![X40]:![X41]:![X42]:![X43]:![X44]:(s_e(s(X44,X40),s(X44,X41),s(X44,X42),s(X44,X43))|~s_e(X40,X41,X42,X43))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz7_16a])])])])). 2.18/2.35 cnf(c_0_84,plain,(s(X1,ip(X1,X2,X3,X4,X1))=X1|~s_t(X4,X1,X3)|~s_t(X1,X2,X3)), inference(spm,[status(thm)],[c_0_78, c_0_79])). 2.18/2.35 fof(c_0_85, plain, (![X16]:![X17]:![X18]:(s_t(X18,X17,X16)|~s_t(X16,X17,X18))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_2])])). 2.18/2.35 cnf(c_0_86,plain,(s_t(X1,X2,X3)|~s_m(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_66])). 2.18/2.35 cnf(c_0_87,negated_conjecture,(X1=esk1_0|~s_col(esk1_0,X1,s(esk2_0,esk3_0))|~s_e(X1,s(esk2_0,esk3_0),X1,s(esk2_0,s(esk1_0,esk3_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82])). 2.18/2.35 cnf(c_0_88,plain,(s_e(s(X5,X1),s(X5,X2),s(X5,X3),s(X5,X4))|~s_e(X1,X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_83])). 2.18/2.35 fof(c_0_89, plain, (![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:![X16]:![X17]:![X18]:((((((s_t(X16,X17,X18)|s_t(X18,X16,X17))|s_t(X17,X18,X16))|~s_col(X16,X17,X18))&(~s_t(X18,X16,X17)|s_col(X16,X17,X18)))&(~s_t(X17,X18,X16)|s_col(X16,X17,X18)))&(s_col(X16,X17,X18)|~s_t(X16,X17,X18)))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn4_10])])])])). 2.18/2.35 fof(c_0_90, plain, (![X26]:![X27]:![X28]:![X29]:(((~s_t(X26,X27,X28)|~s_t(X27,X28,X29))|X28=X27)|s_t(X26,X27,X29))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_7b])])). 2.18/2.35 fof(c_0_91, plain, (![X17]:![X18]:![X19]:s_e(X17,X18,s(X19,X17),s(X19,X18))), inference(variable_rename,[status(thm)],[aSatz7_13])). 2.18/2.35 fof(c_0_92, plain, (![X26]:![X27]:![X28]:![X29]:((~s_t(X26,X27,X28)|s_t(X26,X27,X29))|~s_t(X27,X29,X28))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_5a])])). 2.18/2.35 cnf(c_0_93,plain,(s_t(X2,ip(X1,X2,X3,X4,X5),X4)|~s_t(X1,X2,X3)|~s_t(X4,X5,X3)), inference(split_conjunct,[status(thm)],[c_0_72])). 2.18/2.35 cnf(c_0_94,plain,(ip(X1,X2,X3,X4,X1)=X1|~s_t(X4,X1,X3)|~s_t(X1,X2,X3)), inference(spm,[status(thm)],[c_0_61, c_0_84])). 2.18/2.35 cnf(c_0_95,plain,(s_t(X3,X2,X1)|~s_t(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_85])). 2.18/2.35 cnf(c_0_96,plain,(s_t(X1,X2,s(X2,X1))), inference(spm,[status(thm)],[c_0_86, c_0_67])). 2.18/2.35 cnf(c_0_97,negated_conjecture,(s(esk2_0,X1)=esk1_0|~s_col(esk1_0,s(esk2_0,X1),s(esk2_0,esk3_0))|~s_e(X1,esk3_0,X1,s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 2.18/2.35 cnf(c_0_98,plain,(s_col(X1,X2,X3)|~s_t(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89])). 2.18/2.35 cnf(c_0_99,plain,(s_t(X1,X2,X3)|X4=X2|~s_t(X2,X4,X3)|~s_t(X1,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_90])). 2.18/2.35 cnf(c_0_100,plain,(s_e(X1,X2,s(X3,X1),s(X3,X2))), inference(split_conjunct,[status(thm)],[c_0_91])). 2.18/2.35 cnf(c_0_101,plain,(s_t(X4,X1,X2)|~s_t(X1,X2,X3)|~s_t(X4,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_92])). 2.18/2.35 cnf(c_0_102,negated_conjecture,(s_t(s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_86, c_0_75])). 2.18/2.35 cnf(c_0_103,plain,(s_t(X1,X2,X3)|~s_t(X3,X2,X4)|~s_t(X2,X1,X4)), inference(spm,[status(thm)],[c_0_93, c_0_94])). 2.18/2.35 cnf(c_0_104,plain,(s_t(s(X1,X2),X1,X2)), inference(spm,[status(thm)],[c_0_95, c_0_96])). 2.18/2.35 fof(c_0_105, plain, (![X26]:![X27]:![X28]:![X29]:((~s_t(X26,X27,X28)|s_t(X26,X27,X29))|~s_t(X26,X28,X29))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_6b])])). 2.18/2.35 fof(c_0_106, plain, (![X16]:![X17]:![X18]:((~s_t(X16,X17,X18)|~s_t(X17,X16,X18))|X16=X17)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz3_4])])])])). 2.18/2.35 cnf(c_0_107,negated_conjecture,(s(esk2_0,X1)=esk1_0|~s_t(s(esk2_0,esk3_0),esk1_0,s(esk2_0,X1))|~s_e(X1,esk3_0,X1,s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_97, c_0_98])). 2.18/2.35 cnf(c_0_108,plain,(X1=X2|s_t(X3,X1,s(X2,X1))|~s_t(X3,X1,X2)), inference(spm,[status(thm)],[c_0_99, c_0_96])). 2.18/2.35 cnf(c_0_109,plain,(s_e(X1,X2,X1,s(X1,X2))), inference(spm,[status(thm)],[c_0_100, c_0_40])). 2.18/2.35 cnf(c_0_110,negated_conjecture,(s_t(s(esk2_0,esk3_0),esk1_0,X1)|~s_t(esk1_0,X1,s(esk2_0,s(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_101, c_0_102])). 2.18/2.35 cnf(c_0_111,plain,(s_t(X1,X2,s(X2,X3))|~s_t(X2,X1,X3)), inference(spm,[status(thm)],[c_0_103, c_0_104])). 2.18/2.35 cnf(c_0_112,plain,(s_t(X1,X4,X3)|~s_t(X1,X2,X3)|~s_t(X1,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_105])). 2.18/2.35 fof(c_0_113, plain, (![X34]:![X35]:![X36]:![X37]:![X38]:![X39]:((~s_e(X34,X35,X36,X37)|s_e(X34,X35,X38,X39))|~s_e(X36,X37,X38,X39))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz2_3])])). 2.18/2.35 cnf(c_0_114,plain,(X1=X2|~s_t(X2,X1,X3)|~s_t(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_106])). 2.18/2.35 cnf(c_0_115,plain,(s_t(s(X1,X2),X1,s(X1,X3))|~s_t(X2,X1,X3)), inference(spm,[status(thm)],[c_0_48, c_0_40])). 2.18/2.35 cnf(c_0_116,negated_conjecture,(s(esk2_0,esk1_0)=esk1_0|~s_t(s(esk2_0,esk3_0),esk1_0,esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_109])]), c_0_52])). 2.18/2.35 cnf(c_0_117,negated_conjecture,(s_t(s(esk2_0,esk3_0),esk1_0,esk2_0)|~s_t(esk2_0,esk1_0,s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_110, c_0_111])). 2.18/2.35 cnf(c_0_118,plain,(s_t(X1,X2,X3)|~s_t(X1,s(X2,X4),X3)|~s_t(X2,X1,X4)), inference(spm,[status(thm)],[c_0_112, c_0_111])). 2.18/2.35 fof(c_0_119, plain, (![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:((~s_e(X12,X13,X14,X15)|~s_e(X12,X13,X16,X17))|s_e(X14,X15,X16,X17))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aA2])])). 2.18/2.35 cnf(c_0_120,plain,(s_e(X5,X6,X3,X4)|~s_e(X1,X2,X3,X4)|~s_e(X5,X6,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_113])). 2.18/2.35 fof(c_0_121, plain, (![X28]:![X29]:![X30]:![X31]:(~s_t(s(X31,X28),s(X31,X29),s(X31,X30))|s_t(X28,X29,X30))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz7_15b])])])])). 2.18/2.35 cnf(c_0_122,plain,(ip(X1,X2,X3,X4,X5)=X2|~s_t(ip(X1,X2,X3,X4,X5),X2,X4)|~s_t(X4,X5,X3)|~s_t(X1,X2,X3)), inference(spm,[status(thm)],[c_0_114, c_0_93])). 2.18/2.35 cnf(c_0_123,plain,(s(s(X1,X2),X1)=s(X1,X2)|~s_t(X2,X1,X2)), inference(spm,[status(thm)],[c_0_78, c_0_115])). 2.18/2.35 cnf(c_0_124,negated_conjecture,(s(esk2_0,esk1_0)=esk1_0|~s_t(esk2_0,esk1_0,s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_116, c_0_117])). 2.18/2.35 cnf(c_0_125,plain,(s_t(X1,ip(X2,X1,X3,X4,X5),X6)|~s_t(X1,X4,X6)|~s_t(X4,X5,X3)|~s_t(X2,X1,X3)), inference(spm,[status(thm)],[c_0_112, c_0_93])). 2.18/2.35 fof(c_0_126, plain, (![X21]:![X22]:s_t(X21,X21,X22)), inference(variable_rename,[status(thm)],[aSatz3_3])). 2.18/2.35 cnf(c_0_127,plain,(s_t(X1,X2,X3)|~s_t(X2,X1,s(X2,X4))|~s_t(X1,X4,X3)), inference(spm,[status(thm)],[c_0_118, c_0_31])). 2.18/2.35 cnf(c_0_128,plain,(s_e(X1,X2,X3,X4)|~s_e(X5,X6,X3,X4)|~s_e(X5,X6,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])). 2.18/2.35 cnf(c_0_129,plain,(s_e(X1,s(X2,X3),s(X2,X1),X3)), inference(spm,[status(thm)],[c_0_100, c_0_31])). 2.18/2.35 cnf(c_0_130,negated_conjecture,(s_e(esk1_0,s(esk2_0,esk3_0),X1,X2)|~s_e(esk1_0,s(esk2_0,s(esk1_0,esk3_0)),X1,X2)), inference(spm,[status(thm)],[c_0_120, c_0_81])). 2.18/2.35 cnf(c_0_131,plain,(s_t(X1,X2,X3)|~s_t(s(X4,X1),s(X4,X2),s(X4,X3))), inference(split_conjunct,[status(thm)],[c_0_121])). 2.18/2.35 cnf(c_0_132,negated_conjecture,(s_m(s(esk2_0,s(esk1_0,esk3_0)),esk1_0,s(esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_67, c_0_35])). 2.18/2.35 cnf(c_0_133,plain,(X1=X2|~s_t(X1,X2,X3)|~s_t(X3,X1,X4)|~s_t(X1,X2,X4)), inference(spm,[status(thm)],[c_0_122, c_0_94])). 2.18/2.35 cnf(c_0_134,plain,(s(X1,X2)=X1|~s_t(X2,s(X2,X1),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_111]), c_0_31]), c_0_31])). 2.18/2.35 cnf(c_0_135,negated_conjecture,(s(esk2_0,esk1_0)=esk1_0|~s_t(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_124, c_0_111])). 2.18/2.35 cnf(c_0_136,plain,(s_t(X1,X2,X3)|~s_t(X1,X4,X3)|~s_t(X4,X2,X5)|~s_t(X2,X1,X5)), inference(spm,[status(thm)],[c_0_125, c_0_94])). 2.18/2.35 cnf(c_0_137,plain,(s_t(X1,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_126])). 2.18/2.35 cnf(c_0_138,plain,(s_t(s(X1,X2),X1,X3)|~s_t(s(X1,X2),X2,X3)), inference(spm,[status(thm)],[c_0_127, c_0_65])). 2.18/2.35 fof(c_0_139, plain, (![X17]:![X18]:![X19]:![X20]:((~s_m(X17,X20,X19)|X20=X18)|~s_m(X17,X18,X19))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz7_17])])])])). 2.18/2.35 cnf(c_0_140,plain,(s_e(X1,X2,s(X3,X4),X5)|~s_e(X4,s(X3,X5),X1,X2)), inference(spm,[status(thm)],[c_0_128, c_0_129])). 2.18/2.35 cnf(c_0_141,negated_conjecture,(s_e(esk1_0,s(esk2_0,esk3_0),s(esk2_0,esk1_0),s(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_130, c_0_129])). 2.18/2.35 cnf(c_0_142,plain,(s_t(X1,s(X2,X3),X4)|~s_t(s(X2,X1),X3,s(X2,X4))), inference(spm,[status(thm)],[c_0_131, c_0_31])). 2.18/2.35 cnf(c_0_143,negated_conjecture,(s_t(s(esk2_0,s(esk1_0,esk3_0)),esk1_0,s(esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_86, c_0_132])). 2.18/2.35 cnf(c_0_144,plain,(X1=X2|~s_t(s(X2,X1),X1,X3)|~s_t(X1,X2,X3)), inference(spm,[status(thm)],[c_0_133, c_0_96])). 2.18/2.35 cnf(c_0_145,negated_conjecture,(s(esk1_0,esk2_0)=esk1_0|~s_t(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_135]), c_0_65])])). 2.18/2.35 cnf(c_0_146,plain,(s_t(X1,X2,X3)|~s_t(X1,X2,X4)|~s_t(X2,X1,X4)), inference(spm,[status(thm)],[c_0_136, c_0_137])). 2.18/2.35 cnf(c_0_147,plain,(s_t(X1,X2,X3)|~s_t(X1,s(X2,X1),X3)), inference(spm,[status(thm)],[c_0_138, c_0_31])). 2.18/2.35 cnf(c_0_148,plain,(X4=X2|~s_m(X1,X2,X3)|~s_m(X1,X4,X3)), inference(split_conjunct,[status(thm)],[c_0_139])). 2.18/2.35 cnf(c_0_149,plain,(s_m(s(X1,X2),X1,X2)), inference(spm,[status(thm)],[c_0_67, c_0_31])). 2.18/2.35 cnf(c_0_150,plain,(s_m(X1,X2,X3)|~s_t(X1,X2,X3)|~s_e(X2,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_66])). 2.18/2.35 cnf(c_0_151,negated_conjecture,(s_e(s(esk2_0,esk1_0),s(esk1_0,esk3_0),s(esk2_0,esk1_0),esk3_0)), inference(spm,[status(thm)],[c_0_140, c_0_141])). 2.18/2.35 cnf(c_0_152,negated_conjecture,(s_t(s(esk1_0,esk3_0),s(esk2_0,esk1_0),esk3_0)), inference(spm,[status(thm)],[c_0_142, c_0_143])). 2.18/2.35 cnf(c_0_153,negated_conjecture,(~s_t(esk1_0,esk2_0,X1)|~s_t(esk2_0,esk1_0,X1)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_52]), c_0_146])). 2.18/2.35 cnf(c_0_154,plain,(s_t(X1,X2,s(s(X2,X1),X1))), inference(spm,[status(thm)],[c_0_147, c_0_96])). 2.18/2.35 cnf(c_0_155,plain,(X1=X2|~s_m(s(X2,X3),X1,X3)), inference(spm,[status(thm)],[c_0_148, c_0_149])). 2.18/2.35 cnf(c_0_156,negated_conjecture,(s_m(s(esk1_0,esk3_0),s(esk2_0,esk1_0),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_151]), c_0_152])])). 2.18/2.35 cnf(c_0_157,negated_conjecture,(~s_t(esk2_0,esk1_0,s(s(esk2_0,esk1_0),esk1_0))), inference(spm,[status(thm)],[c_0_153, c_0_154])). 2.18/2.35 cnf(c_0_158,negated_conjecture,(s(esk2_0,esk1_0)=esk1_0), inference(spm,[status(thm)],[c_0_155, c_0_156])). 2.18/2.35 cnf(c_0_159,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157, c_0_158]), c_0_40]), c_0_65])]), ['proof']). 2.18/2.35 % SZS output end Proof 2.18/2.35 % User time : 1.799 s 2.18/2.35 % System time : 0.065 s 2.18/2.35 % Total time : 1.864 s 2.18/2.35 2.29/2.38 EOF