0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.12/0.34 % Computer : n012.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:03:44 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.35 0.12/0.35 No.of.Axioms: 5 0.12/0.35 0.12/0.35 Length.of.Defs: 1574 0.12/0.35 0.12/0.35 Contains.Choice.Funs: false 0.12/0.35 (rf:0,axioms:5,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:7,loop_count:0,foatp_calls:0,translation:fof_full).... 0.20/0.41 0.20/0.41 ******************************** 0.20/0.41 * All subproblems solved! * 0.20/0.41 ******************************** 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:83,loop_count:0,foatp_calls:1,translation:fof_full) 0.20/0.42 0.20/0.42 %**** Beginning of derivation protocol **** 0.20/0.42 % SZS output start CNFRefutation 0.20/0.42 thf(tp_mworld,type,(mworld: $tType)). 0.20/0.42 thf(tp_bomb,type,(bomb: ($i>(mworld>$o)))). 0.20/0.42 thf(tp_defused,type,(defused: ($i>(mworld>$o)))). 0.20/0.42 thf(tp_h,type,(h: ($i>(mworld>$o)))). 0.20/0.42 thf(tp_mactual,type,(mactual: mworld)). 0.20/0.42 thf(tp_mand,type,(mand: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.20/0.42 thf(tp_mbox,type,(mbox: ((mworld>$o)>(mworld>$o)))). 0.20/0.42 thf(tp_mdia,type,(mdia: ((mworld>$o)>(mworld>$o)))). 0.20/0.42 thf(tp_mequiv,type,(mequiv: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.20/0.42 thf(tp_mexists_di,type,(mexists_di: (($i>(mworld>$o))>(mworld>$o)))). 0.20/0.42 thf(tp_mforall_di,type,(mforall_di: (($i>(mworld>$o))>(mworld>$o)))). 0.20/0.42 thf(tp_mimplies,type,(mimplies: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.20/0.42 thf(tp_mlocal,type,(mlocal: ((mworld>$o)>$o))). 0.20/0.42 thf(tp_mnot,type,(mnot: ((mworld>$o)>(mworld>$o)))). 0.20/0.42 thf(tp_mor,type,(mor: ((mworld>$o)>((mworld>$o)>(mworld>$o))))). 0.20/0.42 thf(tp_mrel,type,(mrel: (mworld>(mworld>$o)))). 0.20/0.42 thf(tp_sK1_SX0,type,(sK1_SX0: $i)). 0.20/0.42 thf(tp_sK2_SX0,type,(sK2_SX0: mworld)). 0.20/0.42 thf(tp_sK3_SY10,type,(sK3_SY10: $i)). 0.20/0.42 thf(tp_sK4_SY5,type,(sK4_SY5: (mworld>$i))). 0.20/0.42 thf(tp_sK5_SY14,type,(sK5_SY14: ($i>(mworld>$i)))). 0.20/0.42 thf(mand,definition,(mand = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) & (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)). 0.20/0.42 thf(mbox,definition,(mbox = (^[Phi:(mworld>$o),W:mworld]: (![V:mworld]: (((mrel@W)@V) => (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)). 0.20/0.42 thf(mdia,definition,(mdia = (^[Phi:(mworld>$o),W:mworld]: (?[V:mworld]: (((mrel@W)@V) & (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)). 0.20/0.42 thf(mequiv,definition,(mequiv = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) <=> (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)). 0.20/0.42 thf(mexists_di,definition,(mexists_di = (^[A:($i>(mworld>$o)),W:mworld]: (?[X:$i]: ((A@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di)). 0.20/0.42 thf(mforall_di,definition,(mforall_di = (^[A:($i>(mworld>$o)),W:mworld]: (![X:$i]: ((A@X)@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di)). 0.20/0.42 thf(mimplies,definition,(mimplies = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) => (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)). 0.20/0.42 thf(mlocal,definition,(mlocal = (^[Phi:(mworld>$o)]: (Phi@mactual))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal)). 0.20/0.42 thf(mnot,definition,(mnot = (^[A:(mworld>$o),W:mworld]: (~ (A@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)). 0.20/0.42 thf(mor,definition,(mor = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) | (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)). 0.20/0.42 thf(1,axiom,(![W:mworld]: ((mrel@W)@W)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)). 0.20/0.42 thf(2,axiom,(mlocal@(mexists_di@(^[A:$i]: (mbox@(mforall_di@(^[X:$i]: ((mimplies@((mand@(bomb@X))@(h@A)))@(mbox@(bomb@X))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)). 0.20/0.42 thf(3,axiom,(mlocal@(mbox@(mforall_di@(^[X:$i]: (mexists_di@(^[D:$i]: (mbox@((mimplies@((mand@(bomb@X))@(h@D)))@(defused@X))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)). 0.20/0.42 thf(4,axiom,(mlocal@(mbox@(mexists_di@(^[B:$i]: (bomb@B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)). 0.20/0.42 thf(5,axiom,(![W:mworld,V:mworld,U:mworld]: (((mrel@W)@U) <= (((mrel@W)@V) & ((mrel@V)@U)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive)). 0.20/0.42 thf(6,conjecture,(mlocal@(mbox@(mforall_di@(^[X:$i]: (mexists_di@(^[D:$i]: ((mimplies@((mand@(bomb@X))@(h@D)))@(defused@X)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)). 0.20/0.42 thf(7,negated_conjecture,(((mlocal@(mbox@(mforall_di@(^[X:$i]: (mexists_di@(^[D:$i]: ((mimplies@((mand@(bomb@X))@(h@D)))@(defused@X))))))))=$false)),inference(negate_conjecture,[status(cth)],[6])). 0.20/0.42 thf(8,plain,(((~ (mlocal@(mbox@(mforall_di@(^[X:$i]: (mexists_di@(^[D:$i]: ((mimplies@((mand@(bomb@X))@(h@D)))@(defused@X)))))))))=$true)),inference(polarity_switch,[status(thm)],[7])). 0.20/0.42 thf(9,plain,(((![W:mworld,V:mworld,U:mworld]: (((~ ((mrel@W)@V)) | (~ ((mrel@V)@U))) | ((mrel@W)@U)))=$true)),inference(extcnf_combined,[status(esa)],[5])). 0.20/0.42 thf(10,plain,(((![W:mworld,V:mworld,U:mworld]: (((~ ((mrel@W)@V)) | (~ ((mrel@V)@U))) | ((mrel@W)@U)))=$true)),inference(copy,[status(thm)],[9])). 0.20/0.42 thf(11,plain,(((mlocal@(mbox@(mexists_di@(^[B:$i]: (bomb@B)))))=$true)),inference(copy,[status(thm)],[4])). 0.20/0.42 thf(12,plain,(((mlocal@(mbox@(mforall_di@(^[X:$i]: (mexists_di@(^[D:$i]: (mbox@((mimplies@((mand@(bomb@X))@(h@D)))@(defused@X)))))))))=$true)),inference(copy,[status(thm)],[3])). 0.20/0.42 thf(13,plain,(((mlocal@(mexists_di@(^[A:$i]: (mbox@(mforall_di@(^[X:$i]: ((mimplies@((mand@(bomb@X))@(h@A)))@(mbox@(bomb@X)))))))))=$true)),inference(copy,[status(thm)],[2])). 0.20/0.42 thf(14,plain,(((![W:mworld]: ((mrel@W)@W))=$true)),inference(copy,[status(thm)],[1])). 0.20/0.42 thf(15,plain,(((~ (mlocal@(mbox@(mforall_di@(^[X:$i]: (mexists_di@(^[D:$i]: ((mimplies@((mand@(bomb@X))@(h@D)))@(defused@X)))))))))=$true)),inference(copy,[status(thm)],[8])). 0.20/0.42 thf(16,plain,(((~ (![SX0:$i]: (~ (![SX1:mworld]: ((~ ((mrel@mactual)@SX1)) | (![SX2:$i]: ((~ (~ ((~ ((bomb@SX2)@SX1)) | (~ ((h@SX0)@SX1))))) | (![SX3:mworld]: ((~ ((mrel@SX1)@SX3)) | ((bomb@SX2)@SX3))))))))))=$true)),inference(unfold_def,[status(thm)],[13,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])). 0.20/0.42 thf(17,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (![SX1:$i]: (~ (![SX2:$i]: (~ (![SX3:mworld]: ((~ ((mrel@SX0)@SX3)) | ((~ (~ ((~ ((bomb@SX1)@SX3)) | (~ ((h@SX2)@SX3))))) | ((defused@SX1)@SX3))))))))))=$true)),inference(unfold_def,[status(thm)],[12,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])). 0.20/0.42 thf(18,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (~ (![SX1:$i]: (~ ((bomb@SX1)@SX0))))))=$true)),inference(unfold_def,[status(thm)],[11,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])). 0.20/0.42 thf(19,plain,(((~ (![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (![SX1:$i]: (~ (![SX2:$i]: (~ ((~ (~ ((~ ((bomb@SX1)@SX0)) | (~ ((h@SX2)@SX0))))) | ((defused@SX1)@SX0)))))))))=$true)),inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor])). 0.20/0.42 thf(20,plain,(![SV1:mworld]: (((![SY0:mworld,SY1:mworld]: (((~ ((mrel@SV1)@SY0)) | (~ ((mrel@SY0)@SY1))) | ((mrel@SV1)@SY1)))=$true))),inference(extcnf_forall_pos,[status(thm)],[10])). 0.20/0.42 thf(21,plain,(![SV2:mworld]: ((((mrel@SV2)@SV2)=$true))),inference(extcnf_forall_pos,[status(thm)],[14])). 0.20/0.42 thf(22,plain,(((![SX0:$i]: (~ (![SX1:mworld]: ((~ ((mrel@mactual)@SX1)) | (![SX2:$i]: ((~ (~ ((~ ((bomb@SX2)@SX1)) | (~ ((h@SX0)@SX1))))) | (![SX3:mworld]: ((~ ((mrel@SX1)@SX3)) | ((bomb@SX2)@SX3)))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[16])). 0.20/0.42 thf(23,plain,(![SV3:mworld]: ((((~ ((mrel@mactual)@SV3)) | (![SY2:$i]: (~ (![SY3:$i]: (~ (![SY4:mworld]: ((~ ((mrel@SV3)@SY4)) | ((~ (~ ((~ ((bomb@SY2)@SY4)) | (~ ((h@SY3)@SY4))))) | ((defused@SY2)@SY4)))))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[17])). 0.20/0.42 thf(24,plain,(![SV4:mworld]: ((((~ ((mrel@mactual)@SV4)) | (~ (![SY5:$i]: (~ ((bomb@SY5)@SV4)))))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])). 0.20/0.42 thf(25,plain,(((![SX0:mworld]: ((~ ((mrel@mactual)@SX0)) | (![SX1:$i]: (~ (![SX2:$i]: (~ ((~ (~ ((~ ((bomb@SX1)@SX0)) | (~ ((h@SX2)@SX0))))) | ((defused@SX1)@SX0))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[19])). 0.20/0.42 thf(26,plain,(![SV5:mworld,SV1:mworld]: (((![SY6:mworld]: (((~ ((mrel@SV1)@SV5)) | (~ ((mrel@SV5)@SY6))) | ((mrel@SV1)@SY6)))=$true))),inference(extcnf_forall_pos,[status(thm)],[20])). 0.20/0.42 thf(27,plain,(((~ (![SY7:mworld]: ((~ ((mrel@mactual)@SY7)) | (![SY8:$i]: ((~ (~ ((~ ((bomb@SY8)@SY7)) | (~ ((h@sK1_SX0)@SY7))))) | (![SX3:mworld]: ((~ ((mrel@SY7)@SX3)) | ((bomb@SY8)@SX3))))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[22])). 0.20/0.42 thf(28,plain,(![SV3:mworld]: (((~ ((mrel@mactual)@SV3))=$true) | ((![SY2:$i]: (~ (![SY3:$i]: (~ (![SY4:mworld]: ((~ ((mrel@SV3)@SY4)) | ((~ (~ ((~ ((bomb@SY2)@SY4)) | (~ ((h@SY3)@SY4))))) | ((defused@SY2)@SY4))))))))=$true))),inference(extcnf_or_pos,[status(thm)],[23])). 0.20/0.42 thf(29,plain,(![SV4:mworld]: (((~ ((mrel@mactual)@SV4))=$true) | ((~ (![SY5:$i]: (~ ((bomb@SY5)@SV4))))=$true))),inference(extcnf_or_pos,[status(thm)],[24])). 0.20/0.42 thf(30,plain,((((~ ((mrel@mactual)@sK2_SX0)) | (![SY10:$i]: (~ (![SY11:$i]: (~ ((~ (~ ((~ ((bomb@SY10)@sK2_SX0)) | (~ ((h@SY11)@sK2_SX0))))) | ((defused@SY10)@sK2_SX0)))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[25])). 0.20/0.42 thf(31,plain,(![SV6:mworld,SV5:mworld,SV1:mworld]: (((((~ ((mrel@SV1)@SV5)) | (~ ((mrel@SV5)@SV6))) | ((mrel@SV1)@SV6))=$true))),inference(extcnf_forall_pos,[status(thm)],[26])). 0.20/0.42 thf(32,plain,(((![SY7:mworld]: ((~ ((mrel@mactual)@SY7)) | (![SY8:$i]: ((~ (~ ((~ ((bomb@SY8)@SY7)) | (~ ((h@sK1_SX0)@SY7))))) | (![SX3:mworld]: ((~ ((mrel@SY7)@SX3)) | ((bomb@SY8)@SX3)))))))=$true)),inference(extcnf_not_neg,[status(thm)],[27])). 0.20/0.42 thf(33,plain,(![SV3:mworld]: ((((mrel@mactual)@SV3)=$false) | ((![SY2:$i]: (~ (![SY3:$i]: (~ (![SY4:mworld]: ((~ ((mrel@SV3)@SY4)) | ((~ (~ ((~ ((bomb@SY2)@SY4)) | (~ ((h@SY3)@SY4))))) | ((defused@SY2)@SY4))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[28])). 0.20/0.42 thf(34,plain,(![SV4:mworld]: ((((mrel@mactual)@SV4)=$false) | ((~ (![SY5:$i]: (~ ((bomb@SY5)@SV4))))=$true))),inference(extcnf_not_pos,[status(thm)],[29])). 0.20/0.42 thf(35,plain,(((~ ((mrel@mactual)@sK2_SX0))=$false)),inference(extcnf_or_neg,[status(thm)],[30])). 0.20/0.42 thf(36,plain,(((![SY10:$i]: (~ (![SY11:$i]: (~ ((~ (~ ((~ ((bomb@SY10)@sK2_SX0)) | (~ ((h@SY11)@sK2_SX0))))) | ((defused@SY10)@sK2_SX0))))))=$false)),inference(extcnf_or_neg,[status(thm)],[30])). 0.20/0.42 thf(37,plain,(![SV6:mworld,SV5:mworld,SV1:mworld]: ((((~ ((mrel@SV1)@SV5)) | (~ ((mrel@SV5)@SV6)))=$true) | (((mrel@SV1)@SV6)=$true))),inference(extcnf_or_pos,[status(thm)],[31])). 0.20/0.42 thf(38,plain,(![SV7:mworld]: ((((~ ((mrel@mactual)@SV7)) | (![SY12:$i]: ((~ (~ ((~ ((bomb@SY12)@SV7)) | (~ ((h@sK1_SX0)@SV7))))) | (![SY13:mworld]: ((~ ((mrel@SV7)@SY13)) | ((bomb@SY12)@SY13))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[32])). 0.20/0.42 thf(39,plain,(![SV8:$i,SV3:mworld]: (((~ (![SY14:$i]: (~ (![SY15:mworld]: ((~ ((mrel@SV3)@SY15)) | ((~ (~ ((~ ((bomb@SV8)@SY15)) | (~ ((h@SY14)@SY15))))) | ((defused@SV8)@SY15)))))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_forall_pos,[status(thm)],[33])). 0.20/0.42 thf(40,plain,(![SV4:mworld]: (((![SY5:$i]: (~ ((bomb@SY5)@SV4)))=$false) | (((mrel@mactual)@SV4)=$false))),inference(extcnf_not_pos,[status(thm)],[34])). 0.20/0.42 thf(41,plain,((((mrel@mactual)@sK2_SX0)=$true)),inference(extcnf_not_neg,[status(thm)],[35])). 0.20/0.42 thf(42,plain,(((~ (![SY16:$i]: (~ ((~ (~ ((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SY16)@sK2_SX0))))) | ((defused@sK3_SY10)@sK2_SX0)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[36])). 0.20/0.42 thf(43,plain,(![SV6:mworld,SV5:mworld,SV1:mworld]: (((~ ((mrel@SV1)@SV5))=$true) | ((~ ((mrel@SV5)@SV6))=$true) | (((mrel@SV1)@SV6)=$true))),inference(extcnf_or_pos,[status(thm)],[37])). 0.20/0.42 thf(44,plain,(![SV7:mworld]: (((~ ((mrel@mactual)@SV7))=$true) | ((![SY12:$i]: ((~ (~ ((~ ((bomb@SY12)@SV7)) | (~ ((h@sK1_SX0)@SV7))))) | (![SY13:mworld]: ((~ ((mrel@SV7)@SY13)) | ((bomb@SY12)@SY13)))))=$true))),inference(extcnf_or_pos,[status(thm)],[38])). 0.20/0.42 thf(45,plain,(![SV8:$i,SV3:mworld]: (((![SY14:$i]: (~ (![SY15:mworld]: ((~ ((mrel@SV3)@SY15)) | ((~ (~ ((~ ((bomb@SV8)@SY15)) | (~ ((h@SY14)@SY15))))) | ((defused@SV8)@SY15))))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[39])). 0.20/0.42 thf(46,plain,(![SV4:mworld]: (((~ ((bomb@(sK4_SY5@SV4))@SV4))=$false) | (((mrel@mactual)@SV4)=$false))),inference(extcnf_forall_neg,[status(esa)],[40])). 0.20/0.42 thf(47,plain,(((![SY16:$i]: (~ ((~ (~ ((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SY16)@sK2_SX0))))) | ((defused@sK3_SY10)@sK2_SX0))))=$true)),inference(extcnf_not_neg,[status(thm)],[42])). 0.20/0.42 thf(48,plain,(![SV6:mworld,SV5:mworld,SV1:mworld]: ((((mrel@SV1)@SV5)=$false) | ((~ ((mrel@SV5)@SV6))=$true) | (((mrel@SV1)@SV6)=$true))),inference(extcnf_not_pos,[status(thm)],[43])). 0.20/0.42 thf(49,plain,(![SV7:mworld]: ((((mrel@mactual)@SV7)=$false) | ((![SY12:$i]: ((~ (~ ((~ ((bomb@SY12)@SV7)) | (~ ((h@sK1_SX0)@SV7))))) | (![SY13:mworld]: ((~ ((mrel@SV7)@SY13)) | ((bomb@SY12)@SY13)))))=$true))),inference(extcnf_not_pos,[status(thm)],[44])). 0.20/0.42 thf(50,plain,(![SV8:$i,SV3:mworld]: (((~ (![SY17:mworld]: ((~ ((mrel@SV3)@SY17)) | ((~ (~ ((~ ((bomb@SV8)@SY17)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SY17))))) | ((defused@SV8)@SY17)))))=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_forall_neg,[status(esa)],[45])). 0.20/0.42 thf(51,plain,(![SV4:mworld]: ((((bomb@(sK4_SY5@SV4))@SV4)=$true) | (((mrel@mactual)@SV4)=$false))),inference(extcnf_not_neg,[status(thm)],[46])). 0.20/0.42 thf(52,plain,(![SV9:$i]: (((~ ((~ (~ ((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SV9)@sK2_SX0))))) | ((defused@sK3_SY10)@sK2_SX0)))=$true))),inference(extcnf_forall_pos,[status(thm)],[47])). 0.20/0.42 thf(53,plain,(![SV1:mworld,SV6:mworld,SV5:mworld]: ((((mrel@SV5)@SV6)=$false) | (((mrel@SV1)@SV5)=$false) | (((mrel@SV1)@SV6)=$true))),inference(extcnf_not_pos,[status(thm)],[48])). 0.20/0.42 thf(54,plain,(![SV7:mworld,SV10:$i]: ((((~ (~ ((~ ((bomb@SV10)@SV7)) | (~ ((h@sK1_SX0)@SV7))))) | (![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18))))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_forall_pos,[status(thm)],[49])). 0.20/0.42 thf(55,plain,(![SV8:$i,SV3:mworld]: (((![SY17:mworld]: ((~ ((mrel@SV3)@SY17)) | ((~ (~ ((~ ((bomb@SV8)@SY17)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SY17))))) | ((defused@SV8)@SY17))))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[50])). 0.20/0.42 thf(56,plain,(![SV9:$i]: ((((~ (~ ((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SV9)@sK2_SX0))))) | ((defused@sK3_SY10)@sK2_SX0))=$false))),inference(extcnf_not_pos,[status(thm)],[52])). 0.20/0.42 thf(57,plain,(![SV7:mworld,SV10:$i]: (((~ (~ ((~ ((bomb@SV10)@SV7)) | (~ ((h@sK1_SX0)@SV7)))))=$true) | ((![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18)))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_or_pos,[status(thm)],[54])). 0.20/0.42 thf(58,plain,(![SV8:$i,SV11:mworld,SV3:mworld]: ((((~ ((mrel@SV3)@SV11)) | ((~ (~ ((~ ((bomb@SV8)@SV11)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SV11))))) | ((defused@SV8)@SV11)))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_forall_pos,[status(thm)],[55])). 0.20/0.42 thf(59,plain,(![SV9:$i]: (((~ (~ ((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SV9)@sK2_SX0)))))=$false))),inference(extcnf_or_neg,[status(thm)],[56])). 0.20/0.42 thf(60,plain,((((defused@sK3_SY10)@sK2_SX0)=$false)),inference(extcnf_or_neg,[status(thm)],[56])). 0.20/0.42 thf(61,plain,(![SV7:mworld,SV10:$i]: (((~ ((~ ((bomb@SV10)@SV7)) | (~ ((h@sK1_SX0)@SV7))))=$false) | ((![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18)))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_not_pos,[status(thm)],[57])). 0.20/0.42 thf(62,plain,(![SV8:$i,SV11:mworld,SV3:mworld]: (((~ ((mrel@SV3)@SV11))=$true) | (((~ (~ ((~ ((bomb@SV8)@SV11)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SV11))))) | ((defused@SV8)@SV11))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_pos,[status(thm)],[58])). 0.20/0.42 thf(63,plain,(![SV9:$i]: (((~ ((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SV9)@sK2_SX0))))=$true))),inference(extcnf_not_neg,[status(thm)],[59])). 0.20/0.42 thf(64,plain,(![SV7:mworld,SV10:$i]: ((((~ ((bomb@SV10)@SV7)) | (~ ((h@sK1_SX0)@SV7)))=$true) | ((![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18)))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_not_neg,[status(thm)],[61])). 0.20/0.42 thf(65,plain,(![SV8:$i,SV11:mworld,SV3:mworld]: ((((mrel@SV3)@SV11)=$false) | (((~ (~ ((~ ((bomb@SV8)@SV11)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SV11))))) | ((defused@SV8)@SV11))=$true) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[62])). 0.20/0.42 thf(66,plain,(![SV9:$i]: ((((~ ((bomb@sK3_SY10)@sK2_SX0)) | (~ ((h@SV9)@sK2_SX0)))=$false))),inference(extcnf_not_pos,[status(thm)],[63])). 0.20/0.42 thf(67,plain,(![SV7:mworld,SV10:$i]: (((~ ((bomb@SV10)@SV7))=$true) | ((~ ((h@sK1_SX0)@SV7))=$true) | ((![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18)))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_or_pos,[status(thm)],[64])). 0.20/0.42 thf(68,plain,(![SV3:mworld,SV11:mworld,SV8:$i]: (((~ (~ ((~ ((bomb@SV8)@SV11)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SV11)))))=$true) | (((defused@SV8)@SV11)=$true) | (((mrel@SV3)@SV11)=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_pos,[status(thm)],[65])). 0.20/0.42 thf(69,plain,(((~ ((bomb@sK3_SY10)@sK2_SX0))=$false)),inference(extcnf_or_neg,[status(thm)],[66])). 0.20/0.42 thf(70,plain,(![SV9:$i]: (((~ ((h@SV9)@sK2_SX0))=$false))),inference(extcnf_or_neg,[status(thm)],[66])). 0.20/0.42 thf(71,plain,(![SV7:mworld,SV10:$i]: ((((bomb@SV10)@SV7)=$false) | ((~ ((h@sK1_SX0)@SV7))=$true) | ((![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18)))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_not_pos,[status(thm)],[67])). 0.20/0.42 thf(72,plain,(![SV3:mworld,SV11:mworld,SV8:$i]: (((~ ((~ ((bomb@SV8)@SV11)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SV11))))=$false) | (((defused@SV8)@SV11)=$true) | (((mrel@SV3)@SV11)=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[68])). 0.20/0.42 thf(73,plain,((((bomb@sK3_SY10)@sK2_SX0)=$true)),inference(extcnf_not_neg,[status(thm)],[69])). 0.20/0.42 thf(74,plain,(![SV9:$i]: ((((h@SV9)@sK2_SX0)=$true))),inference(extcnf_not_neg,[status(thm)],[70])). 0.20/0.42 thf(75,plain,(![SV10:$i,SV7:mworld]: ((((h@sK1_SX0)@SV7)=$false) | (((bomb@SV10)@SV7)=$false) | ((![SY18:mworld]: ((~ ((mrel@SV7)@SY18)) | ((bomb@SV10)@SY18)))=$true) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_not_pos,[status(thm)],[71])). 0.20/0.42 thf(76,plain,(![SV3:mworld,SV11:mworld,SV8:$i]: ((((~ ((bomb@SV8)@SV11)) | (~ ((h@((sK5_SY14@SV8)@SV3))@SV11)))=$true) | (((defused@SV8)@SV11)=$true) | (((mrel@SV3)@SV11)=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_neg,[status(thm)],[72])). 0.20/0.42 thf(77,plain,(![SV10:$i,SV12:mworld,SV7:mworld]: ((((~ ((mrel@SV7)@SV12)) | ((bomb@SV10)@SV12))=$true) | (((bomb@SV10)@SV7)=$false) | (((h@sK1_SX0)@SV7)=$false) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_forall_pos,[status(thm)],[75])). 0.20/0.42 thf(78,plain,(![SV3:mworld,SV11:mworld,SV8:$i]: (((~ ((bomb@SV8)@SV11))=$true) | ((~ ((h@((sK5_SY14@SV8)@SV3))@SV11))=$true) | (((defused@SV8)@SV11)=$true) | (((mrel@SV3)@SV11)=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_or_pos,[status(thm)],[76])). 0.20/0.42 thf(79,plain,(![SV10:$i,SV12:mworld,SV7:mworld]: (((~ ((mrel@SV7)@SV12))=$true) | (((bomb@SV10)@SV12)=$true) | (((bomb@SV10)@SV7)=$false) | (((h@sK1_SX0)@SV7)=$false) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_or_pos,[status(thm)],[77])). 0.20/0.42 thf(80,plain,(![SV3:mworld,SV11:mworld,SV8:$i]: ((((bomb@SV8)@SV11)=$false) | ((~ ((h@((sK5_SY14@SV8)@SV3))@SV11))=$true) | (((defused@SV8)@SV11)=$true) | (((mrel@SV3)@SV11)=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[78])). 0.20/0.42 thf(81,plain,(![SV10:$i,SV12:mworld,SV7:mworld]: ((((mrel@SV7)@SV12)=$false) | (((bomb@SV10)@SV12)=$true) | (((bomb@SV10)@SV7)=$false) | (((h@sK1_SX0)@SV7)=$false) | (((mrel@mactual)@SV7)=$false))),inference(extcnf_not_pos,[status(thm)],[79])). 0.20/0.42 thf(82,plain,(![SV11:mworld,SV3:mworld,SV8:$i]: ((((h@((sK5_SY14@SV8)@SV3))@SV11)=$false) | (((bomb@SV8)@SV11)=$false) | (((defused@SV8)@SV11)=$true) | (((mrel@SV3)@SV11)=$false) | (((mrel@mactual)@SV3)=$false))),inference(extcnf_not_pos,[status(thm)],[80])). 0.20/0.42 thf(83,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[21,82,81,74,73,60,53,51,41])). 0.20/0.42 thf(84,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[83])). 0.20/0.42 % SZS output end CNFRefutation 0.20/0.42 0.20/0.42 %**** End of derivation protocol **** 0.20/0.42 %**** no. of clauses in derivation: 84 **** 0.20/0.42 %**** clause counter: 83 **** 0.20/0.42 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:83,loop_count:0,foatp_calls:1,translation:fof_full) 0.20/0.42 EOF