0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.11/0.32 % Computer : n011.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 04:14:51 EDT 2022 0.11/0.33 % CPUTime : 0.18/0.42 openjdk version "1.8.0_171" 0.18/0.42 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.18/0.43 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.18/0.43 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.53/0.68 start to proof: theBenchmark 0.63/0.75 % Version : CSE_E---1.4 0.63/0.75 % Problem : theBenchmark.p 0.63/0.75 % Proof found 0.63/0.75 % SZS status Theorem for theBenchmark.p 0.63/0.75 % SZS output start Proof 0.63/0.75 fof(conj, conjecture, ![X12, X13, X1, X2]:(((((((((![X11, X14]:(elem(m_Down(X14),queue(host(X11)))=>~(setIn(X14,alive)))&![X11, X14]:(elem(m_Down(X14),queue(host(X11)))=>host(X11)!=host(X14)))&![X11, X14]:((~(setIn(X14,alive))|~(setIn(X11,alive)))<=(X11!=X14&host(X14)=host(X11))))&queue(host(X1))=cons(m_Ack(X13,X2),X12))&![X11, X15, X16, X14]:(~((elem(m_Down(X15),queue(host(X16)))&elem(m_Down(X14),queue(host(X11)))))<=((((host(X16)!=host(X11)&host(X11)=host(X15))&host(X16)=host(X14))&setIn(X16,alive))&setIn(X11,alive))))&![X11, X14]:(~(setIn(X14,alive))<=((~(setIn(X11,alive))&leq(X14,X11))&host(X11)=host(X14))))&![X11, X16, X14]:(~(leq(host(X11),host(X14)))<=elem(m_Ack(X14,X11),queue(host(X16)))))&![X11, X14]:(~(leq(host(X11),host(X14)))<=elem(m_Halt(X14),queue(host(X11)))))&![X11, X14]:(~(elem(m_Down(X14),queue(host(X11))))<=setIn(X14,alive)))=>(setIn(X1,alive)=>(((index(elid,host(X1))=X13&host(X2)=index(pendack,host(X1)))&index(status,host(X1))=elec_2)=>(leq(nbr_proc,index(pendack,host(X1)))=>![X11]:(![X17]:((host(X1)=host(X17)=>![X18, X19]:((host(X19)!=host(X1)=>![X20]:(((((setIn(X17,alive)&setIn(X19,alive))&host(X20)=host(X19))&host(X17)=host(X18))&host(X19)!=host(X17))=>~((elem(m_Down(X18),queue(host(X19)))&elem(m_Down(X20),snoc(X12,m_Ldr(X1)))))))<=host(X11)!=host(X19)))<=host(X17)=host(X11))<=(host(X2)=host(X11)|setIn(host(X11),index(acks,host(X1))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 0.63/0.75 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)). 0.63/0.75 fof(axiom_47, axiom, ![X1, X2, X8]:((elem(X1,X8)|X1=X2)<=>elem(X1,snoc(X8,X2))), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_47)). 0.63/0.75 fof(axiom_18, axiom, ![X1, X2]:m_Ldr(X2)!=m_Down(X1), file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax', axiom_18)). 0.63/0.75 fof(c_0_4, plain, ![X1, X13, X2, X12]:(epred1_4(X12,X2,X13,X1)<=>((((((((![X11, X14]:(elem(m_Down(X14),queue(host(X11)))=>~setIn(X14,alive))&![X11, X14]:(elem(m_Down(X14),queue(host(X11)))=>host(X11)!=host(X14)))&![X11, X14]:((X11!=X14&host(X14)=host(X11))=>(~setIn(X14,alive)|~setIn(X11,alive))))&queue(host(X1))=cons(m_Ack(X13,X2),X12))&![X11, X15, X16, X14]:(((((host(X16)!=host(X11)&host(X11)=host(X15))&host(X16)=host(X14))&setIn(X16,alive))&setIn(X11,alive))=>~((elem(m_Down(X15),queue(host(X16)))&elem(m_Down(X14),queue(host(X11)))))))&![X11, X14]:(((~setIn(X11,alive)&leq(X14,X11))&host(X11)=host(X14))=>~setIn(X14,alive)))&![X11, X16, X14]:(elem(m_Ack(X14,X11),queue(host(X16)))=>~leq(host(X11),host(X14))))&![X11, X14]:(elem(m_Halt(X14),queue(host(X11)))=>~leq(host(X11),host(X14))))&![X11, X14]:(setIn(X14,alive)=>~elem(m_Down(X14),queue(host(X11)))))), introduced(definition)). 0.63/0.75 fof(c_0_5, negated_conjecture, ~(![X12, X13, X1, X2]:(epred1_4(X12,X2,X13,X1)=>(setIn(X1,alive)=>(((index(elid,host(X1))=X13&host(X2)=index(pendack,host(X1)))&index(status,host(X1))=elec_2)=>(leq(nbr_proc,index(pendack,host(X1)))=>![X11]:((host(X2)=host(X11)|setIn(host(X11),index(acks,host(X1))))=>![X17]:(host(X17)=host(X11)=>(host(X1)=host(X17)=>![X18, X19]:(host(X11)!=host(X19)=>(host(X19)!=host(X1)=>![X20]:(((((setIn(X17,alive)&setIn(X19,alive))&host(X20)=host(X19))&host(X17)=host(X18))&host(X19)!=host(X17))=>~((elem(m_Down(X18),queue(host(X19)))&elem(m_Down(X20),snoc(X12,m_Ldr(X1)))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_4])). 0.63/0.75 fof(c_0_6, plain, ![X1, X13, X2, X12]:(epred1_4(X12,X2,X13,X1)=>((((((((![X11, X14]:(elem(m_Down(X14),queue(host(X11)))=>~setIn(X14,alive))&![X11, X14]:(elem(m_Down(X14),queue(host(X11)))=>host(X11)!=host(X14)))&![X11, X14]:((X11!=X14&host(X14)=host(X11))=>(~setIn(X14,alive)|~setIn(X11,alive))))&queue(host(X1))=cons(m_Ack(X13,X2),X12))&![X11, X15, X16, X14]:(((((host(X16)!=host(X11)&host(X11)=host(X15))&host(X16)=host(X14))&setIn(X16,alive))&setIn(X11,alive))=>~((elem(m_Down(X15),queue(host(X16)))&elem(m_Down(X14),queue(host(X11)))))))&![X11, X14]:(((~setIn(X11,alive)&leq(X14,X11))&host(X11)=host(X14))=>~setIn(X14,alive)))&![X11, X16, X14]:(elem(m_Ack(X14,X11),queue(host(X16)))=>~leq(host(X11),host(X14))))&![X11, X14]:(elem(m_Halt(X14),queue(host(X11)))=>~leq(host(X11),host(X14))))&![X11, X14]:(setIn(X14,alive)=>~elem(m_Down(X14),queue(host(X11)))))), inference(split_equiv,[status(thm)],[c_0_4])). 0.63/0.75 fof(c_0_7, negated_conjecture, (epred1_4(esk5_0,esk8_0,esk6_0,esk7_0)&(setIn(esk7_0,alive)&(((index(elid,host(esk7_0))=esk6_0&host(esk8_0)=index(pendack,host(esk7_0)))&index(status,host(esk7_0))=elec_2)&(leq(nbr_proc,index(pendack,host(esk7_0)))&((host(esk8_0)=host(esk9_0)|setIn(host(esk9_0),index(acks,host(esk7_0))))&(host(esk10_0)=host(esk9_0)&(host(esk7_0)=host(esk10_0)&(host(esk9_0)!=host(esk12_0)&(host(esk12_0)!=host(esk7_0)&(((((setIn(esk10_0,alive)&setIn(esk12_0,alive))&host(esk13_0)=host(esk12_0))&host(esk10_0)=host(esk11_0))&host(esk12_0)!=host(esk10_0))&(elem(m_Down(esk11_0),queue(host(esk12_0)))&elem(m_Down(esk13_0),snoc(esk5_0,m_Ldr(esk7_0)))))))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 0.63/0.75 fof(c_0_8, plain, ![X306, X307, X308, X309, X310, X311, X312, X313, X314, X315, X316, X317, X318, X319, X320, X321, X322, X323, X324, X325, X326, X327, X328]:(((((((((~elem(m_Down(X311),queue(host(X310)))|~setIn(X311,alive)|~epred1_4(X309,X308,X307,X306))&(~elem(m_Down(X313),queue(host(X312)))|host(X312)!=host(X313)|~epred1_4(X309,X308,X307,X306)))&(X314=X315|host(X315)!=host(X314)|(~setIn(X315,alive)|~setIn(X314,alive))|~epred1_4(X309,X308,X307,X306)))&(queue(host(X306))=cons(m_Ack(X307,X308),X309)|~epred1_4(X309,X308,X307,X306)))&(host(X318)=host(X316)|host(X316)!=host(X317)|host(X318)!=host(X319)|~setIn(X318,alive)|~setIn(X316,alive)|(~elem(m_Down(X317),queue(host(X318)))|~elem(m_Down(X319),queue(host(X316))))|~epred1_4(X309,X308,X307,X306)))&(setIn(X320,alive)|~leq(X321,X320)|host(X320)!=host(X321)|~setIn(X321,alive)|~epred1_4(X309,X308,X307,X306)))&(~elem(m_Ack(X324,X322),queue(host(X323)))|~leq(host(X322),host(X324))|~epred1_4(X309,X308,X307,X306)))&(~elem(m_Halt(X326),queue(host(X325)))|~leq(host(X325),host(X326))|~epred1_4(X309,X308,X307,X306)))&(~setIn(X328,alive)|~elem(m_Down(X328),queue(host(X327)))|~epred1_4(X309,X308,X307,X306))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])). 0.63/0.75 cnf(c_0_9, negated_conjecture, (host(esk10_0)=host(esk11_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.75 cnf(c_0_10, negated_conjecture, (host(esk7_0)=host(esk10_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.75 fof(c_0_11, plain, ![X179, X180, X181]:(((~elem(X179,X181)|elem(X179,cons(X180,X181)))&(X180!=X179|elem(X179,cons(X180,X181))))&(~elem(X179,cons(X180,X181))|(elem(X179,X181)|X180=X179))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])). 0.63/0.75 cnf(c_0_12, plain, (queue(host(X1))=cons(m_Ack(X2,X3),X4)|~epred1_4(X4,X3,X2,X1)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.63/0.75 cnf(c_0_13, negated_conjecture, (epred1_4(esk5_0,esk8_0,esk6_0,esk7_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.75 cnf(c_0_14, plain, (host(X1)=host(X2)|host(X2)!=host(X3)|host(X1)!=host(X4)|~setIn(X1,alive)|~setIn(X2,alive)|~elem(m_Down(X3),queue(host(X1)))|~elem(m_Down(X4),queue(host(X2)))|~epred1_4(X5,X6,X7,X8)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.63/0.75 cnf(c_0_15, negated_conjecture, (elem(m_Down(esk11_0),queue(host(esk12_0)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.75 cnf(c_0_16, negated_conjecture, (host(esk11_0)=host(esk7_0)), inference(rw,[status(thm)],[c_0_9, c_0_10])). 0.63/0.75 cnf(c_0_17, negated_conjecture, (setIn(esk12_0,alive)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.76 cnf(c_0_18, plain, (elem(X1,cons(X3,X2))|~elem(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.63/0.76 cnf(c_0_19, negated_conjecture, (cons(m_Ack(esk6_0,esk8_0),esk5_0)=queue(host(esk7_0))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.63/0.76 fof(c_0_20, plain, ![X210, X211, X212]:(((~elem(X210,X212)|elem(X210,snoc(X212,X211)))&(X210!=X211|elem(X210,snoc(X212,X211))))&(~elem(X210,snoc(X212,X211))|(elem(X210,X212)|X210=X211))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])). 0.63/0.76 fof(c_0_21, plain, ![X238, X239]:m_Ldr(X239)!=m_Down(X238), inference(variable_rename,[status(thm)],[axiom_18])). 0.63/0.76 cnf(c_0_22, negated_conjecture, (host(X1)=host(esk12_0)|host(esk12_0)!=host(X2)|host(X1)!=host(esk7_0)|~epred1_4(X3,X4,X5,X6)|~elem(m_Down(X2),queue(host(X1)))|~setIn(X1,alive)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])])). 0.63/0.76 cnf(c_0_23, negated_conjecture, (elem(X1,queue(host(esk7_0)))|~elem(X1,esk5_0)), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.63/0.76 cnf(c_0_24, negated_conjecture, (setIn(esk7_0,alive)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.76 cnf(c_0_25, negated_conjecture, (host(esk12_0)!=host(esk7_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.76 cnf(c_0_26, plain, (elem(X1,X2)|X1=X3|~elem(X1,snoc(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.63/0.76 cnf(c_0_27, negated_conjecture, (elem(m_Down(esk13_0),snoc(esk5_0,m_Ldr(esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.76 cnf(c_0_28, plain, (m_Ldr(X1)!=m_Down(X2)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.63/0.76 cnf(c_0_29, negated_conjecture, (host(esk12_0)!=host(X1)|~epred1_4(X2,X3,X4,X5)|~elem(m_Down(X1),esk5_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), c_0_25])). 0.63/0.76 cnf(c_0_30, negated_conjecture, (elem(m_Down(esk13_0),esk5_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])). 0.63/0.76 cnf(c_0_31, negated_conjecture, (host(esk13_0)=host(esk12_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.63/0.76 cnf(c_0_32, negated_conjecture, (~epred1_4(X1,X2,X3,X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])). 0.63/0.76 cnf(c_0_33, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_13, c_0_32]), ['proof']). 0.63/0.76 % SZS output end Proof 0.63/0.76 % Total time : 0.070000 s 0.72/0.76 EOF