0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_epr.jar %d %s 0.02/0.24 % Computer : n136.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:45:40 CDT 2018 0.02/0.24 % CPUTime : 0.07/0.30 openjdk version "1.8.0_144" 0.07/0.30 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.07/0.30 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.43 start to proof:theBenchmark.p 8.01/8.19 % Version : CSE_E---1.0 8.01/8.19 % Problem : theBenchmark.p 8.01/8.19 % Proof found! 8.01/8.19 % SZS status Theorem for theBenchmark.p 8.01/8.19 % SZS output start Proof 8.01/8.19 fof(conj_1, conjecture, (![X135]:(![X35]:(c_Hoare__Mirabelle_Otriple__valid(t_a,X135,X35)<=hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X35),v_G)))=>![X35]:(hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X35),v_ts))=>c_Hoare__Mirabelle_Otriple__valid(t_a,X135,X35)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 8.01/8.19 fof(fact_mem__def, axiom, (![X16]:![X11]:![X12]:(hBOOL(hAPP(X16,X11))<=>hBOOL(hAPP(hAPP(c_member(X12),X11),X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mem__def)). 8.01/8.19 fof(fact_rev__predicate1D, axiom, (![X97]:![X12]:![X11]:![X9]:(hBOOL(hAPP(X9,X11))=>(hBOOL(hAPP(X97,X11))<=hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool)),X9),X97))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_rev__predicate1D)). 8.01/8.19 fof(conj_0, hypothesis, (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 8.01/8.19 fof(c_0_4, negated_conjecture, (~(![X135]:(![X35]:(c_Hoare__Mirabelle_Otriple__valid(t_a,X135,X35)<=hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X35),v_G)))=>![X35]:(hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X35),v_ts))=>c_Hoare__Mirabelle_Otriple__valid(t_a,X135,X35))))), inference(assume_negation,[status(cth)],[conj_1])). 8.01/8.19 fof(c_0_5, negated_conjecture, (![X137]:((~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X137),v_G))|c_Hoare__Mirabelle_Otriple__valid(t_a,esk220_0,X137))&(hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk221_0),v_ts))&~c_Hoare__Mirabelle_Otriple__valid(t_a,esk220_0,esk221_0)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])])). 8.01/8.19 fof(c_0_6, plain, (![X17]:![X18]:![X19]:![X17]:![X18]:![X19]:((~hBOOL(hAPP(X17,X18))|hBOOL(hAPP(hAPP(c_member(X19),X18),X17)))&(~hBOOL(hAPP(hAPP(c_member(X19),X18),X17))|hBOOL(hAPP(X17,X18))))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])])])). 8.01/8.19 cnf(c_0_7,negated_conjecture,(c_Hoare__Mirabelle_Otriple__valid(t_a,esk220_0,X1)|~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))), inference(split_conjunct,[status(thm)],[c_0_5])). 8.01/8.19 cnf(c_0_8,plain,(hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X3,X2))), inference(split_conjunct,[status(thm)],[c_0_6])). 8.01/8.19 fof(c_0_9, plain, (![X98]:![X99]:![X100]:![X101]:(~hBOOL(hAPP(X101,X100))|(~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X99,tc_HOL_Obool)),X101),X98))|hBOOL(hAPP(X98,X100))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_rev__predicate1D])])])). 8.01/8.19 cnf(c_0_10,negated_conjecture,(~c_Hoare__Mirabelle_Otriple__valid(t_a,esk220_0,esk221_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 8.01/8.19 cnf(c_0_11,negated_conjecture,(c_Hoare__Mirabelle_Otriple__valid(t_a,esk220_0,X1)|~hBOOL(hAPP(v_G,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 8.01/8.19 cnf(c_0_12,plain,(hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X4),X1))|~hBOOL(hAPP(X4,X2))), inference(split_conjunct,[status(thm)],[c_0_9])). 8.01/8.19 cnf(c_0_13,hypothesis,(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G))), inference(split_conjunct,[status(thm)],[conj_0])). 8.01/8.19 cnf(c_0_14,plain,(hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X1))), inference(split_conjunct,[status(thm)],[c_0_6])). 8.01/8.19 cnf(c_0_15,negated_conjecture,(hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk221_0),v_ts))), inference(split_conjunct,[status(thm)],[c_0_5])). 8.01/8.19 cnf(c_0_16,negated_conjecture,(~hBOOL(hAPP(v_G,esk221_0))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 8.01/8.19 cnf(c_0_17,hypothesis,(hBOOL(hAPP(v_G,X1))|~hBOOL(hAPP(v_ts,X1))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 8.01/8.19 cnf(c_0_18,negated_conjecture,(hBOOL(hAPP(v_ts,esk221_0))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 8.01/8.19 cnf(c_0_19,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']). 8.01/8.19 % SZS output end Proof 8.01/8.19 % User time : 7.524 s 8.01/8.19 % System time : 0.159 s 8.01/8.19 % Total time : 7.683 s 8.01/8.19 8.01/8.20 EOF