0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.10/0.30 % Computer : n027.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 02:09:06 EDT 2022 0.10/0.30 % CPUTime : 0.15/0.31 0.15/0.31 No.of.Axioms: 3 0.15/0.31 0.15/0.31 Length.of.Defs: 1613 0.15/0.31 0.15/0.31 Contains.Choice.Funs: false 0.15/0.31 (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full).. 0.15/0.35 0.15/0.35 ******************************** 0.15/0.35 * All subproblems solved! * 0.15/0.35 ******************************** 0.15/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:55,loop_count:0,foatp_calls:1,translation:fof_full) 0.15/0.35 0.15/0.35 %**** Beginning of derivation protocol **** 0.15/0.35 % SZS output start CNFRefutation 0.15/0.35 thf(tp_mworld,type,(mworld: $tType)). 0.15/0.35 thf(tp_cs,type,(cs: $i)). 0.15/0.35 thf(tp_eiw_di,type,(eiw_di: ($i>(mworld>$o)))). 0.15/0.35 thf(tp_john,type,(john: $i)). 0.15/0.35 thf(tp_mactual,type,(mactual: mworld)). 0.15/0.35 thf(tp_mand,type,(mand: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.15/0.35 thf(tp_mary,type,(mary: $i)). 0.15/0.35 thf(tp_math,type,(math: $i)). 0.15/0.35 thf(tp_mbox,type,(mbox: ((mworld>$o)>(mworld>$o)))). 0.15/0.35 thf(tp_mdia,type,(mdia: ((mworld>$o)>(mworld>$o)))). 0.15/0.35 thf(tp_mequiv,type,(mequiv: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.15/0.35 thf(tp_mexists_di,type,(mexists_di: (($i>(mworld>$o))>(mworld>$o)))). 0.15/0.35 thf(tp_mforall_di,type,(mforall_di: (($i>(mworld>$o))>(mworld>$o)))). 0.15/0.35 thf(tp_mimplies,type,(mimplies: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.15/0.35 thf(tp_mlocal,type,(mlocal: ((mworld>$o)>$o))). 0.15/0.35 thf(tp_mnot,type,(mnot: ((mworld>$o)>(mworld>$o)))). 0.15/0.35 thf(tp_mor,type,(mor: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.15/0.35 thf(tp_mrel,type,(mrel: (mworld>(mworld>$o)))). 0.15/0.35 thf(tp_psych,type,(psych: $i)). 0.15/0.35 thf(tp_sK1_X,type,(sK1_X: (mworld>$i))). 0.15/0.35 thf(tp_sK2_SX0,type,(sK2_SX0: mworld)). 0.15/0.35 thf(tp_sK3_SY1,type,(sK3_SY1: (mworld>$i))). 0.15/0.35 thf(tp_sue,type,(sue: $i)). 0.15/0.35 thf(tp_teach,type,(teach: ($i>($i>(mworld>$o))))). 0.15/0.35 thf(mand,definition,(mand = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) & (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)). 0.15/0.35 thf(mbox,definition,(mbox = (^[Phi:(mworld>$o),W:mworld]: (![V:mworld]: (((mrel@W)@V) => (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)). 0.15/0.35 thf(mdia,definition,(mdia = (^[Phi:(mworld>$o),W:mworld]: (?[V:mworld]: (((mrel@W)@V) & (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)). 0.15/0.35 thf(mequiv,definition,(mequiv = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) <=> (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)). 0.15/0.35 thf(mexists_di,definition,(mexists_di = (^[A:($i>(mworld>$o)),W:mworld]: (?[X:$i]: (((eiw_di@X)@W) & ((A@X)@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di)). 0.15/0.35 thf(mforall_di,definition,(mforall_di = (^[A:($i>(mworld>$o)),W:mworld]: (![X:$i]: (((eiw_di@X)@W) => ((A@X)@W))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di)). 0.15/0.35 thf(mimplies,definition,(mimplies = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) => (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)). 0.15/0.35 thf(mlocal,definition,(mlocal = (^[Phi:(mworld>$o)]: (Phi@mactual))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal)). 0.15/0.35 thf(mnot,definition,(mnot = (^[A:(mworld>$o),W:mworld]: (~ (A@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)). 0.15/0.35 thf(mor,definition,(mor = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) | (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)). 0.15/0.35 thf(1,axiom,(mlocal@(mbox@((mand@((teach@john)@math))@((mand@(mexists_di@(^[X:$i]: ((teach@X)@cs))))@((mand@((teach@mary)@psych))@((teach@sue)@psych)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',db)). 0.15/0.35 thf(2,axiom,(![W:mworld]: (?[X:$i]: ((eiw_di@X)@W))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty)). 0.15/0.35 thf(3,axiom,(![W:mworld,V:mworld]: ((mrel@W)@V)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal)). 0.15/0.35 thf(4,conjecture,(mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',query)). 0.15/0.35 thf(5,negated_conjecture,(((mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs)))))=$false)),inference(negate_conjecture,[status(cth)],[4])). 0.15/0.35 thf(6,plain,(((~ (mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs))))))=$true)),inference(polarity_switch,[status(thm)],[5])). 0.15/0.35 thf(7,plain,(((![W:mworld]: ((eiw_di@(sK1_X@W))@W))=$true)),inference(extcnf_combined,[status(esa)],[2])). 0.15/0.35 thf(8,plain,(((![W:mworld,V:mworld]: ((mrel@W)@V))=$true)),inference(copy,[status(thm)],[3])). 0.15/0.35 thf(9,plain,(((![W:mworld]: ((eiw_di@(sK1_X@W))@W))=$true)),inference(copy,[status(thm)],[7])). 0.15/0.35 thf(10,plain,(((mlocal@(mbox@((mand@((teach@john)@math))@((mand@(mexists_di@(^[X:$i]: ((teach@X)@cs))))@((mand@((teach@mary)@psych))@((teach@sue)@psych))))))=$true)),inference(copy,[status(thm)],[1])). 0.15/0.35 thf(11,plain,(((~ (mlocal@(mbox@(mexists_di@(^[X:$i]: ((teach@X)@cs))))))=$true)),inference(copy,[status(thm)],[6])). 0.15/0.35 thf(12,plain,(((~ (![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ (![SX1:$i]: (~ (~ ((~ ((eiw_di@SX1)@SX0)) | (~ (((teach@SX1)@cs)@SX0))))))))))=$true)),inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])). 0.15/0.35 thf(13,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ ((~ (((teach@john)@math)@SX0)) | (~ (~ ((~ (~ (![SX1:$i]: (~ (~ ((~ ((eiw_di@SX1)@SX0)) | (~ (((teach@SX1)@cs)@SX0)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SX0)) | (~ (((teach@sue)@psych)@SX0))))))))))))=$true)),inference(unfold_def,[status(thm)],[10,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])). 0.15/0.35 thf(14,plain,(![SV1:mworld]: (((![SY0:mworld]: ((mrel@SV1)@SY0))=$true))),inference(extcnf_forall_pos,[status(thm)],[8])). 0.15/0.35 thf(15,plain,(![SV2:mworld]: ((((eiw_di@(sK1_X@SV2))@SV2)=$true))),inference(extcnf_forall_pos,[status(thm)],[9])). 0.15/0.35 thf(16,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ (![SX1:$i]: (~ (~ ((~ ((eiw_di@SX1)@SX0)) | (~ (((teach@SX1)@cs)@SX0)))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[12])). 0.15/0.35 thf(17,plain,(![SV3:mworld]: ((((~ ((mrel@mactual)@SV3)) | (~ ((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[13])). 0.15/0.35 thf(18,plain,(![SV4:mworld,SV1:mworld]: ((((mrel@SV1)@SV4)=$true))),inference(extcnf_forall_pos,[status(thm)],[14])). 0.15/0.35 thf(19,plain,((((~ ((mrel@mactual)@sK2_SX0)) | (~ (![SY2:$i]: (~ (~ ((~ ((eiw_di@SY2)@sK2_SX0)) | (~ (((teach@SY2)@cs)@sK2_SX0))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[16])). 0.15/0.35 thf(20,plain,(![SV3:mworld]: (((~ ((mrel@mactual)@SV3))=$true) | ((~ ((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[17])). 0.15/0.35 thf(21,plain,(((~ ((mrel@mactual)@sK2_SX0))=$false)),inference(extcnf_or_neg,[status(thm)],[19])). 0.15/0.35 thf(22,plain,(((~ (![SY2:$i]: (~ (~ ((~ ((eiw_di@SY2)@sK2_SX0)) | (~ (((teach@SY2)@cs)@sK2_SX0)))))))=$false)),inference(extcnf_or_neg,[status(thm)],[19])). 0.15/0.35 thf(23,plain,(![SV3:mworld]: ((((mrel@mactual)@SV3)=$false) | ((~ ((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[20])). 0.15/0.35 thf(24,plain,((((mrel@mactual)@sK2_SX0)=$true)),inference(extcnf_not_neg,[status(thm)],[21])). 0.15/0.35 thf(25,plain,(((![SY2:$i]: (~ (~ ((~ ((eiw_di@SY2)@sK2_SX0)) | (~ (((teach@SY2)@cs)@sK2_SX0))))))=$true)),inference(extcnf_not_neg,[status(thm)],[22])). 0.15/0.35 thf(26,plain,(![SV3:mworld]: ((((~ (((teach@john)@math)@SV3)) | (~ (~ ((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[23])). 0.15/0.35 thf(27,plain,(![SV5:$i]: (((~ (~ ((~ ((eiw_di@SV5)@sK2_SX0)) | (~ (((teach@SV5)@cs)@sK2_SX0)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[25])). 0.15/0.35 thf(28,plain,(![SV3:mworld]: (((~ (((teach@john)@math)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[26])). 0.15/0.35 thf(29,plain,(![SV3:mworld]: (((~ (~ ((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[26])). 0.15/0.35 thf(30,plain,(![SV5:$i]: (((~ ((~ ((eiw_di@SV5)@sK2_SX0)) | (~ (((teach@SV5)@cs)@sK2_SX0))))=$false))),inference(extcnf_not_pos,[status(thm)],[27])). 0.15/0.35 thf(31,plain,(![SV3:mworld]: (((((teach@john)@math)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[28])). 0.15/0.35 thf(32,plain,(![SV3:mworld]: (((~ ((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[29])). 0.15/0.35 thf(33,plain,(![SV5:$i]: ((((~ ((eiw_di@SV5)@sK2_SX0)) | (~ (((teach@SV5)@cs)@sK2_SX0)))=$true))),inference(extcnf_not_neg,[status(thm)],[30])). 0.15/0.35 thf(34,plain,(![SV3:mworld]: ((((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))) | (~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[32])). 0.15/0.35 thf(35,plain,(![SV5:$i]: (((~ ((eiw_di@SV5)@sK2_SX0))=$true) | ((~ (((teach@SV5)@cs)@sK2_SX0))=$true))),inference(extcnf_or_pos,[status(thm)],[33])). 0.15/0.35 thf(36,plain,(![SV3:mworld]: (((~ (~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3))))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[34])). 0.15/0.35 thf(37,plain,(![SV3:mworld]: (((~ (~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[34])). 0.15/0.35 thf(38,plain,(![SV5:$i]: ((((eiw_di@SV5)@sK2_SX0)=$false) | ((~ (((teach@SV5)@cs)@sK2_SX0))=$true))),inference(extcnf_not_pos,[status(thm)],[35])). 0.15/0.35 thf(39,plain,(![SV3:mworld]: (((~ (![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3)))))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[36])). 0.15/0.35 thf(40,plain,(![SV3:mworld]: (((~ ((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[37])). 0.15/0.35 thf(41,plain,(![SV5:$i]: (((((teach@SV5)@cs)@sK2_SX0)=$false) | (((eiw_di@SV5)@sK2_SX0)=$false))),inference(extcnf_not_pos,[status(thm)],[38])). 0.15/0.35 thf(42,plain,(![SV3:mworld]: (((![SY1:$i]: (~ (~ ((~ ((eiw_di@SY1)@SV3)) | (~ (((teach@SY1)@cs)@SV3))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[39])). 0.15/0.35 thf(43,plain,(![SV3:mworld]: ((((~ (((teach@mary)@psych)@SV3)) | (~ (((teach@sue)@psych)@SV3)))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[40])). 0.15/0.35 thf(44,plain,(![SV3:mworld]: (((~ (~ ((~ ((eiw_di@(sK3_SY1@SV3))@SV3)) | (~ (((teach@(sK3_SY1@SV3))@cs)@SV3)))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_forall_neg,[status(esa)],[42])). 0.15/0.35 thf(45,plain,(![SV3:mworld]: (((~ (((teach@mary)@psych)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[43])). 0.15/0.35 thf(46,plain,(![SV3:mworld]: (((~ (((teach@sue)@psych)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[43])). 0.15/0.35 thf(47,plain,(![SV3:mworld]: (((~ ((~ ((eiw_di@(sK3_SY1@SV3))@SV3)) | (~ (((teach@(sK3_SY1@SV3))@cs)@SV3))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[44])). 0.15/0.35 thf(48,plain,(![SV3:mworld]: (((((teach@mary)@psych)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[45])). 0.15/0.35 thf(49,plain,(![SV3:mworld]: (((((teach@sue)@psych)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[46])). 0.15/0.35 thf(50,plain,(![SV3:mworld]: ((((~ ((eiw_di@(sK3_SY1@SV3))@SV3)) | (~ (((teach@(sK3_SY1@SV3))@cs)@SV3)))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[47])). 0.15/0.35 thf(51,plain,(![SV3:mworld]: (((~ ((eiw_di@(sK3_SY1@SV3))@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[50])). 0.15/0.35 thf(52,plain,(![SV3:mworld]: (((~ (((teach@(sK3_SY1@SV3))@cs)@SV3))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_neg,[status(thm)],[50])). 0.15/0.35 thf(53,plain,(![SV3:mworld]: ((((eiw_di@(sK3_SY1@SV3))@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[51])). 0.15/0.35 thf(54,plain,(![SV3:mworld]: (((((teach@(sK3_SY1@SV3))@cs)@SV3)=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[52])). 0.15/0.35 thf(55,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[15,54,53,49,48,41,31,24,18])). 0.15/0.35 thf(56,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[55])). 0.15/0.35 % SZS output end CNFRefutation 0.15/0.35 0.15/0.35 %**** End of derivation protocol **** 0.15/0.35 %**** no. of clauses in derivation: 56 **** 0.15/0.35 %**** clause counter: 55 **** 0.15/0.35 0.15/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:55,loop_count:0,foatp_calls:1,translation:fof_full) 0.15/0.35 EOF