0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.14/0.36 % Computer : n020.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 03:38:50 EDT 2022 0.14/0.36 % CPUTime : 0.21/0.48 openjdk version "1.8.0_171" 0.21/0.48 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.21/0.48 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.21/0.48 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.68/0.72 start to proof: theBenchmark 1.44/1.53 % Version : CSE_E---1.4 1.44/1.53 % Problem : theBenchmark.p 1.44/1.53 % Proof found 1.44/1.53 % SZS status Theorem for theBenchmark.p 1.44/1.53 % SZS output start Proof 1.44/1.53 fof(conj, conjecture, ![X12, X13, X1, X2]:(((~(leq(host(X1),host(X2)))=>((((host(X1)=host(X13)&~(setIn(X13,pids)))&![X11]:(host(X1)=host(X11)=>leq(X11,X13)))=>(![X11]:(host(X1)=host(X11)=>![X14, X15]:(host(X1)!=host(X15)=>![X16]:(~((elem(m_Down(X14),queue(host(X15)))&elem(m_Down(X16),X12)))<=((((((setIn(X11,alive)&X11!=X1)|X11=X13)&host(X11)=host(X14))&host(X16)=host(X15))&host(X11)!=host(X15))&((X15!=X1&setIn(X15,alive))|X13=X15)))))<=s(zero)!=host(X13)))<=((host(X2)=index(ldr,host(X1))&index(status,host(X1))=norm)|(host(X2)=host(index(elid,host(X1)))&index(status,host(X1))=wait))))<=setIn(X1,alive))<=((((((((![X11, X17]:(setIn(X17,alive)=>~(elem(m_Down(X17),queue(host(X11)))))&![X11, X17]:((~(setIn(X17,alive))|~(setIn(X11,alive)))<=(X17!=X11&host(X17)=host(X11))))&![X11, X18, X19, X17]:(((((setIn(X11,alive)&setIn(X19,alive))&host(X11)=host(X18))&host(X19)=host(X17))&host(X11)!=host(X19))=>~((elem(m_Down(X17),queue(host(X11)))&elem(m_Down(X18),queue(host(X19)))))))&queue(host(X1))=cons(m_Down(X2),X12))&![X11, X17]:(((~(setIn(X11,alive))&host(X11)=host(X17))&leq(X17,X11))=>~(setIn(X17,alive))))&![X11, X19, X17]:(~(leq(host(X11),host(X17)))<=elem(m_Ack(X17,X11),queue(host(X19)))))&![X11, X17]:(elem(m_Halt(X17),queue(host(X11)))=>~(leq(host(X11),host(X17)))))&![X11, X17]:(host(X17)!=host(X11)<=elem(m_Down(X17),queue(host(X11)))))&![X11, X17]:(~(setIn(X17,alive))<=elem(m_Down(X17),queue(host(X11)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 1.44/1.53 fof(axiom_46, axiom, ![X1, X2, X8]:((elem(X1,X8)|X2=X1)<=>elem(X1,cons(X2,X8))), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_46)). 1.44/1.53 fof(c_0_2, plain, ![X1, X2, X12]:(epred1_3(X12,X2,X1)<=>((((((((![X11, X17]:(setIn(X17,alive)=>~elem(m_Down(X17),queue(host(X11))))&![X11, X17]:((X17!=X11&host(X17)=host(X11))=>(~setIn(X17,alive)|~setIn(X11,alive))))&![X11, X18, X19, X17]:(((((setIn(X11,alive)&setIn(X19,alive))&host(X11)=host(X18))&host(X19)=host(X17))&host(X11)!=host(X19))=>~((elem(m_Down(X17),queue(host(X11)))&elem(m_Down(X18),queue(host(X19)))))))&queue(host(X1))=cons(m_Down(X2),X12))&![X11, X17]:(((~setIn(X11,alive)&host(X11)=host(X17))&leq(X17,X11))=>~setIn(X17,alive)))&![X11, X19, X17]:(elem(m_Ack(X17,X11),queue(host(X19)))=>~leq(host(X11),host(X17))))&![X11, X17]:(elem(m_Halt(X17),queue(host(X11)))=>~leq(host(X11),host(X17))))&![X11, X17]:(elem(m_Down(X17),queue(host(X11)))=>host(X17)!=host(X11)))&![X11, X17]:(elem(m_Down(X17),queue(host(X11)))=>~setIn(X17,alive)))), introduced(definition)). 1.44/1.53 fof(c_0_3, plain, ![X1, X2, X12]:(epred1_3(X12,X2,X1)=>((((((((![X11, X17]:(setIn(X17,alive)=>~elem(m_Down(X17),queue(host(X11))))&![X11, X17]:((X17!=X11&host(X17)=host(X11))=>(~setIn(X17,alive)|~setIn(X11,alive))))&![X11, X18, X19, X17]:(((((setIn(X11,alive)&setIn(X19,alive))&host(X11)=host(X18))&host(X19)=host(X17))&host(X11)!=host(X19))=>~((elem(m_Down(X17),queue(host(X11)))&elem(m_Down(X18),queue(host(X19)))))))&queue(host(X1))=cons(m_Down(X2),X12))&![X11, X17]:(((~setIn(X11,alive)&host(X11)=host(X17))&leq(X17,X11))=>~setIn(X17,alive)))&![X11, X19, X17]:(elem(m_Ack(X17,X11),queue(host(X19)))=>~leq(host(X11),host(X17))))&![X11, X17]:(elem(m_Halt(X17),queue(host(X11)))=>~leq(host(X11),host(X17))))&![X11, X17]:(elem(m_Down(X17),queue(host(X11)))=>host(X17)!=host(X11)))&![X11, X17]:(elem(m_Down(X17),queue(host(X11)))=>~setIn(X17,alive)))), inference(split_equiv,[status(thm)],[c_0_2])). 1.44/1.53 fof(c_0_4, negated_conjecture, ~(![X12, X13, X1, X2]:(epred1_3(X12,X2,X1)=>(setIn(X1,alive)=>(~leq(host(X1),host(X2))=>(((host(X2)=index(ldr,host(X1))&index(status,host(X1))=norm)|(host(X2)=host(index(elid,host(X1)))&index(status,host(X1))=wait))=>(((host(X1)=host(X13)&~setIn(X13,pids))&![X11]:(host(X1)=host(X11)=>leq(X11,X13)))=>(s(zero)!=host(X13)=>![X11]:(host(X1)=host(X11)=>![X14, X15]:(host(X1)!=host(X15)=>![X16]:(((((((setIn(X11,alive)&X11!=X1)|X11=X13)&host(X11)=host(X14))&host(X16)=host(X15))&host(X11)!=host(X15))&((X15!=X1&setIn(X15,alive))|X13=X15))=>~((elem(m_Down(X14),queue(host(X15)))&elem(m_Down(X16),X12))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_2])). 1.44/1.53 fof(c_0_5, plain, ![X305, X306, X307, X308, X309, X310, X311, X312, X313, X314, X315, X316, X317, X318, X319, X320, X321, X322, X323, X324, X325, X326]:(((((((((~setIn(X309,alive)|~elem(m_Down(X309),queue(host(X308)))|~epred1_3(X307,X306,X305))&(X311=X310|host(X311)!=host(X310)|(~setIn(X311,alive)|~setIn(X310,alive))|~epred1_3(X307,X306,X305)))&(~setIn(X312,alive)|~setIn(X314,alive)|host(X312)!=host(X313)|host(X314)!=host(X315)|host(X312)=host(X314)|(~elem(m_Down(X315),queue(host(X312)))|~elem(m_Down(X313),queue(host(X314))))|~epred1_3(X307,X306,X305)))&(queue(host(X305))=cons(m_Down(X306),X307)|~epred1_3(X307,X306,X305)))&(setIn(X316,alive)|host(X316)!=host(X317)|~leq(X317,X316)|~setIn(X317,alive)|~epred1_3(X307,X306,X305)))&(~elem(m_Ack(X320,X318),queue(host(X319)))|~leq(host(X318),host(X320))|~epred1_3(X307,X306,X305)))&(~elem(m_Halt(X322),queue(host(X321)))|~leq(host(X321),host(X322))|~epred1_3(X307,X306,X305)))&(~elem(m_Down(X324),queue(host(X323)))|host(X324)!=host(X323)|~epred1_3(X307,X306,X305)))&(~elem(m_Down(X326),queue(host(X325)))|~setIn(X326,alive)|~epred1_3(X307,X306,X305))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])). 1.44/1.53 fof(c_0_6, negated_conjecture, ![X300]:(epred1_3(esk5_0,esk8_0,esk7_0)&(setIn(esk7_0,alive)&(~leq(host(esk7_0),host(esk8_0))&((((host(esk8_0)=host(index(elid,host(esk7_0)))|host(esk8_0)=index(ldr,host(esk7_0)))&(index(status,host(esk7_0))=wait|host(esk8_0)=index(ldr,host(esk7_0))))&((host(esk8_0)=host(index(elid,host(esk7_0)))|index(status,host(esk7_0))=norm)&(index(status,host(esk7_0))=wait|index(status,host(esk7_0))=norm)))&(((host(esk7_0)=host(esk6_0)&~setIn(esk6_0,pids))&(host(esk7_0)!=host(X300)|leq(X300,esk6_0)))&(s(zero)!=host(esk6_0)&(host(esk7_0)=host(esk9_0)&(host(esk7_0)!=host(esk11_0)&(((((((setIn(esk9_0,alive)|esk9_0=esk6_0)&(esk9_0!=esk7_0|esk9_0=esk6_0))&host(esk9_0)=host(esk10_0))&host(esk12_0)=host(esk11_0))&host(esk9_0)!=host(esk11_0))&((esk11_0!=esk7_0|esk6_0=esk11_0)&(setIn(esk11_0,alive)|esk6_0=esk11_0)))&(elem(m_Down(esk10_0),queue(host(esk11_0)))&elem(m_Down(esk12_0),esk5_0))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])). 1.44/1.53 cnf(c_0_7, plain, (queue(host(X1))=cons(m_Down(X2),X3)|~epred1_3(X3,X2,X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 1.44/1.53 cnf(c_0_8, negated_conjecture, (epred1_3(esk5_0,esk8_0,esk7_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.44/1.53 cnf(c_0_9, plain, (host(X1)=host(X2)|~setIn(X1,alive)|~setIn(X2,alive)|host(X1)!=host(X3)|host(X2)!=host(X4)|~elem(m_Down(X4),queue(host(X1)))|~elem(m_Down(X3),queue(host(X2)))|~epred1_3(X5,X6,X7)), inference(split_conjunct,[status(thm)],[c_0_5])). 1.44/1.53 cnf(c_0_10, negated_conjecture, (queue(host(esk7_0))=cons(m_Down(esk8_0),esk5_0)), inference(spm,[status(thm)],[c_0_7, c_0_8])). 1.44/1.53 cnf(c_0_11, negated_conjecture, (setIn(esk7_0,alive)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.44/1.53 fof(c_0_12, plain, ![X178, X179, X180]:(((~elem(X178,X180)|elem(X178,cons(X179,X180)))&(X179!=X178|elem(X178,cons(X179,X180))))&(~elem(X178,cons(X179,X180))|(elem(X178,X180)|X179=X178))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])). 1.44/1.53 cnf(c_0_13, plain, (host(esk7_0)=host(X1)|host(esk7_0)!=host(X2)|host(X1)!=host(X3)|~epred1_3(X4,X5,X6)|~elem(m_Down(X3),cons(m_Down(esk8_0),esk5_0))|~elem(m_Down(X2),queue(host(X1)))|~setIn(X1,alive)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])])). 1.47/1.54 cnf(c_0_14, plain, (elem(X1,cons(X3,X2))|~elem(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])). 1.47/1.54 cnf(c_0_15, negated_conjecture, (host(esk9_0)=host(esk10_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_16, negated_conjecture, (host(esk7_0)=host(esk9_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_17, plain, (host(esk7_0)=host(X1)|host(esk7_0)!=host(X2)|host(X1)!=host(X3)|~epred1_3(X4,X5,X6)|~elem(m_Down(X2),queue(host(X1)))|~elem(m_Down(X3),esk5_0)|~setIn(X1,alive)), inference(spm,[status(thm)],[c_0_13, c_0_14])). 1.47/1.54 cnf(c_0_18, negated_conjecture, (elem(m_Down(esk10_0),queue(host(esk11_0)))), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_19, negated_conjecture, (host(esk10_0)=host(esk7_0)), inference(rw,[status(thm)],[c_0_15, c_0_16])). 1.47/1.54 cnf(c_0_20, negated_conjecture, (host(esk7_0)!=host(esk11_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_21, negated_conjecture, (host(esk11_0)!=host(X1)|~epred1_3(X2,X3,X4)|~elem(m_Down(X1),esk5_0)|~setIn(esk11_0,alive)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])]), c_0_20])). 1.47/1.54 cnf(c_0_22, negated_conjecture, (elem(m_Down(esk12_0),esk5_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_23, negated_conjecture, (host(esk12_0)=host(esk11_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_24, negated_conjecture, (~epred1_3(X1,X2,X3)|~setIn(esk11_0,alive)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])])). 1.47/1.54 cnf(c_0_25, negated_conjecture, (setIn(esk11_0,alive)|esk6_0=esk11_0), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_26, negated_conjecture, (~setIn(esk11_0,alive)), inference(spm,[status(thm)],[c_0_24, c_0_8])). 1.47/1.54 cnf(c_0_27, negated_conjecture, (esk11_0=esk6_0), inference(sr,[status(thm)],[c_0_25, c_0_26])). 1.47/1.54 cnf(c_0_28, negated_conjecture, (host(esk7_0)=host(esk6_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 1.47/1.54 cnf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_27]), c_0_28])]), ['proof']). 1.47/1.54 % SZS output end Proof 1.47/1.54 % Total time : 0.782000 s 1.47/1.54 EOF