0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.12/0.34	% Computer : n016.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 03:42:42 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: 3487
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)........
0.19/0.42	
0.19/0.42	********************************
0.19/0.42	*   All subproblems solved!    *
0.19/0.42	********************************
0.19/0.42	% SZS status Theorem for /export/starexec/sandbox2/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:130,loop_count:0,foatp_calls:1,translation:fof_full)
0.19/0.43	
0.19/0.43	%**** Beginning of derivation protocol ****
0.19/0.43	% SZS output start CNFRefutation
0.19/0.43	 thf(tp_individuals,type,(individuals: $tType)).
0.19/0.43	 thf(tp_cs4_all,type,(cs4_all: ((individuals>($i>$o))>($i>$o)))).
0.19/0.43	 thf(tp_cs4_and,type,(cs4_and: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_cs4_atom,type,(cs4_atom: (($i>$o)>($i>$o)))).
0.19/0.43	 thf(tp_cs4_box,type,(cs4_box: (($i>$o)>($i>$o)))).
0.19/0.43	 thf(tp_cs4_false,type,(cs4_false: ($i>$o))).
0.19/0.43	 thf(tp_cs4_impl,type,(cs4_impl: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_cs4_or,type,(cs4_or: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_cs4_true,type,(cs4_true: ($i>$o))).
0.19/0.43	 thf(tp_cs4_valid,type,(cs4_valid: (($i>$o)>$o))).
0.19/0.43	 thf(tp_current_world,type,(current_world: $i)).
0.19/0.43	 thf(tp_mall,type,(mall: ((individuals>($i>$o))>($i>$o)))).
0.19/0.43	 thf(tp_mand,type,(mand: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_mbox,type,(mbox: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_mcountersatisfiable,type,(mcountersatisfiable: (($i>$o)>$o))).
0.19/0.43	 thf(tp_mdia,type,(mdia: (($i>($i>$o))>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_mexists,type,(mexists: ((individuals>($i>$o))>($i>$o)))).
0.19/0.43	 thf(tp_mfalse,type,(mfalse: ($i>$o))).
0.19/0.43	 thf(tp_miff,type,(miff: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_mimpl,type,(mimpl: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_minvalid,type,(minvalid: (($i>$o)>$o))).
0.19/0.43	 thf(tp_mnot,type,(mnot: (($i>$o)>($i>$o)))).
0.19/0.43	 thf(tp_mor,type,(mor: (($i>$o)>(($i>$o)>($i>$o))))).
0.19/0.43	 thf(tp_msatisfiable,type,(msatisfiable: (($i>$o)>$o))).
0.19/0.43	 thf(tp_mtrue,type,(mtrue: ($i>$o))).
0.19/0.43	 thf(tp_mvalid,type,(mvalid: (($i>$o)>$o))).
0.19/0.43	 thf(tp_prop_a,type,(prop_a: ($i>$o))).
0.19/0.43	 thf(tp_prop_b,type,(prop_b: ($i>$o))).
0.19/0.43	 thf(tp_prop_c,type,(prop_c: ($i>$o))).
0.19/0.43	 thf(tp_reli,type,(reli: ($i>($i>$o)))).
0.19/0.43	 thf(tp_relr,type,(relr: ($i>($i>$o)))).
0.19/0.43	 thf(tp_sK10_SY38,type,(sK10_SY38: ($i>(($i>$o)>$i)))).
0.19/0.43	 thf(tp_sK1_A,type,(sK1_A: ($i>$o))).
0.19/0.43	 thf(tp_sK2_SX0,type,(sK2_SX0: $i)).
0.19/0.43	 thf(tp_sK3_SY29,type,(sK3_SY29: $i)).
0.19/0.43	 thf(tp_sK4_SY17,type,(sK4_SY17: (($i>$o)>($i>$i)))).
0.19/0.43	 thf(tp_sK5_SY20,type,(sK5_SY20: (($i>$o)>($i>$i)))).
0.19/0.43	 thf(tp_sK6_SY21,type,(sK6_SY21: (($i>$o)>($i>$i)))).
0.19/0.43	 thf(tp_sK7_SY24,type,(sK7_SY24: (($i>$o)>($i>$i)))).
0.19/0.43	 thf(tp_sK8_SY28,type,(sK8_SY28: (($i>$o)>($i>$i)))).
0.19/0.43	 thf(tp_sK9_SY37,type,(sK9_SY37: $i)).
0.19/0.43	 thf(cs4_all,definition,(cs4_all = (^[A:(individuals>($i>$o))]: ((mbox@reli)@(mall@A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_all)).
0.19/0.43	 thf(cs4_and,definition,(cs4_and = (^[A:($i>$o),B:($i>$o)]: ((mand@A)@B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_and)).
0.19/0.43	 thf(cs4_atom,definition,(cs4_atom = (^[P:($i>$o)]: ((mbox@reli)@P))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_atom)).
0.19/0.43	 thf(cs4_box,definition,(cs4_box = (^[A:($i>$o)]: ((mbox@reli)@((mbox@relr)@A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_box)).
0.19/0.43	 thf(cs4_false,definition,(cs4_false = (mfalse)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_false)).
0.19/0.43	 thf(cs4_impl,definition,(cs4_impl = (^[A:($i>$o),B:($i>$o)]: ((mbox@reli)@((mimpl@A)@B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_impl)).
0.19/0.43	 thf(cs4_or,definition,(cs4_or = (^[A:($i>$o),B:($i>$o)]: ((mor@A)@B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_or)).
0.19/0.43	 thf(cs4_true,definition,(cs4_true = (mtrue)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_true)).
0.19/0.43	 thf(cs4_valid,definition,(cs4_valid = (^[A:($i>$o)]: (mvalid@A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_valid)).
0.19/0.43	 thf(mall,definition,(mall = (^[P:(individuals>($i>$o)),W:$i]: (![X:individuals]: ((P@X)@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mall)).
0.19/0.43	 thf(mand,definition,(mand = (^[X:($i>$o),Y:($i>$o),U:$i]: ((X@U) & (Y@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
0.19/0.43	 thf(mbox,definition,(mbox = (^[R:($i>($i>$o)),P:($i>$o),X:$i]: (![Y:$i]: (((R@X)@Y) => (P@Y))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
0.19/0.43	 thf(mcountersatisfiable,definition,(mcountersatisfiable = (^[P:($i>$o)]: (?[W:$i]: (~ (P@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable)).
0.19/0.43	 thf(mdia,definition,(mdia = (^[R:($i>($i>$o)),P:($i>$o),X:$i]: (?[Y:$i]: (((R@X)@Y) & (P@Y))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
0.19/0.43	 thf(mexists,definition,(mexists = (^[P:(individuals>($i>$o)),W:$i]: (?[X:individuals]: ((P@X)@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists)).
0.19/0.43	 thf(mfalse,definition,(mfalse = (^[X:$i]: $false)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse)).
0.19/0.43	 thf(miff,definition,(miff = (^[U:($i>$o),V:($i>$o)]: ((mand@((mimpl@U)@V))@((mimpl@V)@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miff)).
0.19/0.43	 thf(mimpl,definition,(mimpl = (^[U:($i>$o),V:($i>$o)]: ((mor@(mnot@U))@V))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimpl)).
0.19/0.43	 thf(minvalid,definition,(minvalid = (^[P:($i>$o)]: (![W:$i]: (~ (P@W))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid)).
0.19/0.43	 thf(mnot,definition,(mnot = (^[X:($i>$o),U:$i]: (~ (X@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
0.19/0.43	 thf(mor,definition,(mor = (^[X:($i>$o),Y:($i>$o),U:$i]: ((X@U) | (Y@U)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
0.19/0.43	 thf(msatisfiable,definition,(msatisfiable = (^[P:($i>$o)]: (?[W:$i]: (P@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable)).
0.19/0.43	 thf(mtrue,definition,(mtrue = (^[X:$i]: $true)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue)).
0.19/0.43	 thf(mvalid,definition,(mvalid = (^[P:($i>$o)]: (![W:$i]: (P@W)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
0.19/0.43	 thf(1,axiom,(![A:($i>$o)]: (mvalid@((mimpl@((mbox@relr)@A))@((mbox@relr)@((mbox@relr)@A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom_r)).
0.19/0.43	 thf(2,axiom,(![A:($i>$o)]: (mvalid@((mimpl@((mbox@reli)@A))@A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom_i)).
0.19/0.43	 thf(3,axiom,(![A:($i>$o)]: (mvalid@((mimpl@((mbox@reli)@A))@((mbox@reli)@((mbox@reli)@A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom_i)).
0.19/0.43	 thf(4,axiom,(![A:($i>$o)]: (mvalid@((mimpl@((mbox@reli)@((mbox@relr)@A)))@((mbox@relr)@((mbox@reli)@A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_i_r_commute)).
0.19/0.43	 thf(5,axiom,(![A:($i>$o)]: (mvalid@((mimpl@((mbox@relr)@A))@A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom_r)).
0.19/0.43	 thf(6,conjecture,(![A:($i>$o)]: (cs4_valid@((cs4_impl@(cs4_box@(cs4_atom@A)))@(cs4_atom@A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cs4_refl)).
0.19/0.43	 thf(7,negated_conjecture,(((![A:($i>$o)]: (cs4_valid@((cs4_impl@(cs4_box@(cs4_atom@A)))@(cs4_atom@A))))=$false)),inference(negate_conjecture,[status(cth)],[6])).
0.19/0.43	 thf(8,plain,(((cs4_valid@((cs4_impl@(cs4_box@(cs4_atom@sK1_A)))@(cs4_atom@sK1_A)))=$false)),inference(extcnf_forall_neg,[status(esa)],[7])).
0.19/0.43	 thf(9,plain,(((~ (cs4_valid@((cs4_impl@(cs4_box@(cs4_atom@sK1_A)))@(cs4_atom@sK1_A))))=$true)),inference(polarity_switch,[status(thm)],[8])).
0.19/0.43	 thf(10,plain,(((![A:($i>$o)]: (mvalid@((mimpl@((mbox@relr)@A))@A)))=$true)),inference(copy,[status(thm)],[5])).
0.19/0.43	 thf(11,plain,(((![A:($i>$o)]: (mvalid@((mimpl@((mbox@reli)@((mbox@relr)@A)))@((mbox@relr)@((mbox@reli)@A)))))=$true)),inference(copy,[status(thm)],[4])).
0.19/0.43	 thf(12,plain,(((![A:($i>$o)]: (mvalid@((mimpl@((mbox@reli)@A))@((mbox@reli)@((mbox@reli)@A)))))=$true)),inference(copy,[status(thm)],[3])).
0.19/0.43	 thf(13,plain,(((![A:($i>$o)]: (mvalid@((mimpl@((mbox@reli)@A))@A)))=$true)),inference(copy,[status(thm)],[2])).
0.19/0.43	 thf(14,plain,(((![A:($i>$o)]: (mvalid@((mimpl@((mbox@relr)@A))@((mbox@relr)@((mbox@relr)@A)))))=$true)),inference(copy,[status(thm)],[1])).
0.19/0.43	 thf(15,plain,(((~ (cs4_valid@((cs4_impl@(cs4_box@(cs4_atom@sK1_A)))@(cs4_atom@sK1_A))))=$true)),inference(copy,[status(thm)],[9])).
0.19/0.43	 thf(16,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((relr@SX1)@SX2)) | (SX0@SX2)))) | (![SX2:$i]: ((~ ((relr@SX1)@SX2)) | (![SX3:$i]: ((~ ((relr@SX2)@SX3)) | (SX0@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[14,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.19/0.43	 thf(17,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (SX0@SX2)))) | (SX0@SX1)))=$true)),inference(unfold_def,[status(thm)],[13,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.19/0.43	 thf(18,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (SX0@SX2)))) | (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (![SX3:$i]: ((~ ((reli@SX2)@SX3)) | (SX0@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[12,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.19/0.43	 thf(19,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (![SX3:$i]: ((~ ((relr@SX2)@SX3)) | (SX0@SX3)))))) | (![SX2:$i]: ((~ ((relr@SX1)@SX2)) | (![SX3:$i]: ((~ ((reli@SX2)@SX3)) | (SX0@SX3)))))))=$true)),inference(unfold_def,[status(thm)],[11,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.19/0.43	 thf(20,plain,(((![SX0:($i>$o),SX1:$i]: ((~ (![SX2:$i]: ((~ ((relr@SX1)@SX2)) | (SX0@SX2)))) | (SX0@SX1)))=$true)),inference(unfold_def,[status(thm)],[10,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.19/0.43	 thf(21,plain,(((~ (![SX0:$i,SX1:$i]: ((~ ((reli@SX0)@SX1)) | ((~ (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (![SX3:$i]: ((~ ((relr@SX2)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4)))))))) | (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (sK1_A@SX2)))))))=$true)),inference(unfold_def,[status(thm)],[15,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid])).
0.19/0.43	 thf(22,plain,(![SV1:($i>$o)]: (((![SY0:$i]: ((~ (![SY1:$i]: ((~ ((relr@SY0)@SY1)) | (SV1@SY1)))) | (![SY2:$i]: ((~ ((relr@SY0)@SY2)) | (![SY3:$i]: ((~ ((relr@SY2)@SY3)) | (SV1@SY3)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[16])).
0.19/0.43	 thf(23,plain,(![SV2:($i>$o)]: (((![SY4:$i]: ((~ (![SY5:$i]: ((~ ((reli@SY4)@SY5)) | (SV2@SY5)))) | (SV2@SY4)))=$true))),inference(extcnf_forall_pos,[status(thm)],[17])).
0.19/0.43	 thf(24,plain,(![SV3:($i>$o)]: (((![SY6:$i]: ((~ (![SY7:$i]: ((~ ((reli@SY6)@SY7)) | (SV3@SY7)))) | (![SY8:$i]: ((~ ((reli@SY6)@SY8)) | (![SY9:$i]: ((~ ((reli@SY8)@SY9)) | (SV3@SY9)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[18])).
0.19/0.43	 thf(25,plain,(![SV4:($i>$o)]: (((![SY10:$i]: ((~ (![SY11:$i]: ((~ ((reli@SY10)@SY11)) | (![SY12:$i]: ((~ ((relr@SY11)@SY12)) | (SV4@SY12)))))) | (![SY13:$i]: ((~ ((relr@SY10)@SY13)) | (![SY14:$i]: ((~ ((reli@SY13)@SY14)) | (SV4@SY14)))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[19])).
0.19/0.43	 thf(26,plain,(![SV5:($i>$o)]: (((![SY15:$i]: ((~ (![SY16:$i]: ((~ ((relr@SY15)@SY16)) | (SV5@SY16)))) | (SV5@SY15)))=$true))),inference(extcnf_forall_pos,[status(thm)],[20])).
0.19/0.43	 thf(27,plain,(((![SX0:$i,SX1:$i]: ((~ ((reli@SX0)@SX1)) | ((~ (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (![SX3:$i]: ((~ ((relr@SX2)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4)))))))) | (![SX2:$i]: ((~ ((reli@SX1)@SX2)) | (sK1_A@SX2))))))=$false)),inference(extcnf_not_pos,[status(thm)],[21])).
0.19/0.43	 thf(28,plain,(![SV1:($i>$o),SV6:$i]: ((((~ (![SY17:$i]: ((~ ((relr@SV6)@SY17)) | (SV1@SY17)))) | (![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[22])).
0.19/0.43	 thf(29,plain,(![SV2:($i>$o),SV7:$i]: ((((~ (![SY20:$i]: ((~ ((reli@SV7)@SY20)) | (SV2@SY20)))) | (SV2@SV7))=$true))),inference(extcnf_forall_pos,[status(thm)],[23])).
0.19/0.43	 thf(30,plain,(![SV3:($i>$o),SV8:$i]: ((((~ (![SY21:$i]: ((~ ((reli@SV8)@SY21)) | (SV3@SY21)))) | (![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[24])).
0.19/0.43	 thf(31,plain,(![SV4:($i>$o),SV9:$i]: ((((~ (![SY24:$i]: ((~ ((reli@SV9)@SY24)) | (![SY12:$i]: ((~ ((relr@SY24)@SY12)) | (SV4@SY12)))))) | (![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[25])).
0.19/0.43	 thf(32,plain,(![SV5:($i>$o),SV10:$i]: ((((~ (![SY28:$i]: ((~ ((relr@SV10)@SY28)) | (SV5@SY28)))) | (SV5@SV10))=$true))),inference(extcnf_forall_pos,[status(thm)],[26])).
0.19/0.43	 thf(33,plain,(((![SY29:$i]: ((~ ((reli@sK2_SX0)@SY29)) | ((~ (![SX2:$i]: ((~ ((reli@SY29)@SX2)) | (![SX3:$i]: ((~ ((relr@SX2)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4)))))))) | (![SX2:$i]: ((~ ((reli@SY29)@SX2)) | (sK1_A@SX2))))))=$false)),inference(extcnf_forall_neg,[status(esa)],[27])).
0.19/0.43	 thf(34,plain,(![SV1:($i>$o),SV6:$i]: (((~ (![SY17:$i]: ((~ ((relr@SV6)@SY17)) | (SV1@SY17))))=$true) | ((![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3)))))=$true))),inference(extcnf_or_pos,[status(thm)],[28])).
0.19/0.43	 thf(35,plain,(![SV2:($i>$o),SV7:$i]: (((~ (![SY20:$i]: ((~ ((reli@SV7)@SY20)) | (SV2@SY20))))=$true) | ((SV2@SV7)=$true))),inference(extcnf_or_pos,[status(thm)],[29])).
0.19/0.43	 thf(36,plain,(![SV3:($i>$o),SV8:$i]: (((~ (![SY21:$i]: ((~ ((reli@SV8)@SY21)) | (SV3@SY21))))=$true) | ((![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9)))))=$true))),inference(extcnf_or_pos,[status(thm)],[30])).
0.19/0.43	 thf(37,plain,(![SV4:($i>$o),SV9:$i]: (((~ (![SY24:$i]: ((~ ((reli@SV9)@SY24)) | (![SY12:$i]: ((~ ((relr@SY24)@SY12)) | (SV4@SY12))))))=$true) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_or_pos,[status(thm)],[31])).
0.19/0.43	 thf(38,plain,(![SV5:($i>$o),SV10:$i]: (((~ (![SY28:$i]: ((~ ((relr@SV10)@SY28)) | (SV5@SY28))))=$true) | ((SV5@SV10)=$true))),inference(extcnf_or_pos,[status(thm)],[32])).
0.19/0.43	 thf(39,plain,((((~ ((reli@sK2_SX0)@sK3_SY29)) | ((~ (![SY34:$i]: ((~ ((reli@sK3_SY29)@SY34)) | (![SX3:$i]: ((~ ((relr@SY34)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4)))))))) | (![SY37:$i]: ((~ ((reli@sK3_SY29)@SY37)) | (sK1_A@SY37)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[33])).
0.19/0.43	 thf(40,plain,(![SV1:($i>$o),SV6:$i]: (((![SY17:$i]: ((~ ((relr@SV6)@SY17)) | (SV1@SY17)))=$false) | ((![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3)))))=$true))),inference(extcnf_not_pos,[status(thm)],[34])).
0.19/0.43	 thf(41,plain,(![SV2:($i>$o),SV7:$i]: (((![SY20:$i]: ((~ ((reli@SV7)@SY20)) | (SV2@SY20)))=$false) | ((SV2@SV7)=$true))),inference(extcnf_not_pos,[status(thm)],[35])).
0.19/0.43	 thf(42,plain,(![SV3:($i>$o),SV8:$i]: (((![SY21:$i]: ((~ ((reli@SV8)@SY21)) | (SV3@SY21)))=$false) | ((![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9)))))=$true))),inference(extcnf_not_pos,[status(thm)],[36])).
0.19/0.43	 thf(43,plain,(![SV4:($i>$o),SV9:$i]: (((![SY24:$i]: ((~ ((reli@SV9)@SY24)) | (![SY12:$i]: ((~ ((relr@SY24)@SY12)) | (SV4@SY12)))))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_not_pos,[status(thm)],[37])).
0.19/0.43	 thf(44,plain,(![SV5:($i>$o),SV10:$i]: (((![SY28:$i]: ((~ ((relr@SV10)@SY28)) | (SV5@SY28)))=$false) | ((SV5@SV10)=$true))),inference(extcnf_not_pos,[status(thm)],[38])).
0.19/0.43	 thf(45,plain,(((~ ((reli@sK2_SX0)@sK3_SY29))=$false)),inference(extcnf_or_neg,[status(thm)],[39])).
0.19/0.43	 thf(46,plain,((((~ (![SY34:$i]: ((~ ((reli@sK3_SY29)@SY34)) | (![SX3:$i]: ((~ ((relr@SY34)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4)))))))) | (![SY37:$i]: ((~ ((reli@sK3_SY29)@SY37)) | (sK1_A@SY37))))=$false)),inference(extcnf_or_neg,[status(thm)],[39])).
0.19/0.43	 thf(47,plain,(![SV1:($i>$o),SV6:$i]: ((((~ ((relr@SV6)@((sK4_SY17@SV1)@SV6))) | (SV1@((sK4_SY17@SV1)@SV6)))=$false) | ((![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[40])).
0.19/0.43	 thf(48,plain,(![SV2:($i>$o),SV7:$i]: ((((~ ((reli@SV7)@((sK5_SY20@SV2)@SV7))) | (SV2@((sK5_SY20@SV2)@SV7)))=$false) | ((SV2@SV7)=$true))),inference(extcnf_forall_neg,[status(esa)],[41])).
0.19/0.43	 thf(49,plain,(![SV3:($i>$o),SV8:$i]: ((((~ ((reli@SV8)@((sK6_SY21@SV3)@SV8))) | (SV3@((sK6_SY21@SV3)@SV8)))=$false) | ((![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[42])).
0.19/0.43	 thf(50,plain,(![SV4:($i>$o),SV9:$i]: ((((~ ((reli@SV9)@((sK7_SY24@SV4)@SV9))) | (![SY38:$i]: ((~ ((relr@((sK7_SY24@SV4)@SV9))@SY38)) | (SV4@SY38))))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[43])).
0.19/0.43	 thf(51,plain,(![SV5:($i>$o),SV10:$i]: ((((~ ((relr@SV10)@((sK8_SY28@SV5)@SV10))) | (SV5@((sK8_SY28@SV5)@SV10)))=$false) | ((SV5@SV10)=$true))),inference(extcnf_forall_neg,[status(esa)],[44])).
0.19/0.43	 thf(52,plain,((((reli@sK2_SX0)@sK3_SY29)=$true)),inference(extcnf_not_neg,[status(thm)],[45])).
0.19/0.43	 thf(53,plain,(((~ (![SY34:$i]: ((~ ((reli@sK3_SY29)@SY34)) | (![SX3:$i]: ((~ ((relr@SY34)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[46])).
0.19/0.43	 thf(54,plain,(((![SY37:$i]: ((~ ((reli@sK3_SY29)@SY37)) | (sK1_A@SY37)))=$false)),inference(extcnf_or_neg,[status(thm)],[46])).
0.19/0.43	 thf(55,plain,(![SV1:($i>$o),SV6:$i]: (((~ ((relr@SV6)@((sK4_SY17@SV1)@SV6)))=$false) | ((![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3)))))=$true))),inference(extcnf_or_neg,[status(thm)],[47])).
0.19/0.43	 thf(56,plain,(![SV6:$i,SV1:($i>$o)]: (((SV1@((sK4_SY17@SV1)@SV6))=$false) | ((![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3)))))=$true))),inference(extcnf_or_neg,[status(thm)],[47])).
0.19/0.43	 thf(57,plain,(![SV2:($i>$o),SV7:$i]: (((~ ((reli@SV7)@((sK5_SY20@SV2)@SV7)))=$false) | ((SV2@SV7)=$true))),inference(extcnf_or_neg,[status(thm)],[48])).
0.19/0.43	 thf(58,plain,(![SV7:$i,SV2:($i>$o)]: (((SV2@((sK5_SY20@SV2)@SV7))=$false) | ((SV2@SV7)=$true))),inference(extcnf_or_neg,[status(thm)],[48])).
0.19/0.43	 thf(59,plain,(![SV3:($i>$o),SV8:$i]: (((~ ((reli@SV8)@((sK6_SY21@SV3)@SV8)))=$false) | ((![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9)))))=$true))),inference(extcnf_or_neg,[status(thm)],[49])).
0.19/0.43	 thf(60,plain,(![SV8:$i,SV3:($i>$o)]: (((SV3@((sK6_SY21@SV3)@SV8))=$false) | ((![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9)))))=$true))),inference(extcnf_or_neg,[status(thm)],[49])).
0.19/0.43	 thf(61,plain,(![SV4:($i>$o),SV9:$i]: (((~ ((reli@SV9)@((sK7_SY24@SV4)@SV9)))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_or_neg,[status(thm)],[50])).
0.19/0.43	 thf(62,plain,(![SV9:$i,SV4:($i>$o)]: (((![SY38:$i]: ((~ ((relr@((sK7_SY24@SV4)@SV9))@SY38)) | (SV4@SY38)))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_or_neg,[status(thm)],[50])).
0.19/0.43	 thf(63,plain,(![SV5:($i>$o),SV10:$i]: (((~ ((relr@SV10)@((sK8_SY28@SV5)@SV10)))=$false) | ((SV5@SV10)=$true))),inference(extcnf_or_neg,[status(thm)],[51])).
0.19/0.43	 thf(64,plain,(![SV10:$i,SV5:($i>$o)]: (((SV5@((sK8_SY28@SV5)@SV10))=$false) | ((SV5@SV10)=$true))),inference(extcnf_or_neg,[status(thm)],[51])).
0.19/0.43	 thf(65,plain,(((![SY34:$i]: ((~ ((reli@sK3_SY29)@SY34)) | (![SX3:$i]: ((~ ((relr@SY34)@SX3)) | (![SX4:$i]: ((~ ((reli@SX3)@SX4)) | (sK1_A@SX4)))))))=$true)),inference(extcnf_not_neg,[status(thm)],[53])).
0.19/0.43	 thf(66,plain,((((~ ((reli@sK3_SY29)@sK9_SY37)) | (sK1_A@sK9_SY37))=$false)),inference(extcnf_forall_neg,[status(esa)],[54])).
0.19/0.43	 thf(67,plain,(![SV1:($i>$o),SV6:$i]: ((((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true) | ((![SY18:$i]: ((~ ((relr@SV6)@SY18)) | (![SY3:$i]: ((~ ((relr@SY18)@SY3)) | (SV1@SY3)))))=$true))),inference(extcnf_not_neg,[status(thm)],[55])).
0.19/0.43	 thf(68,plain,(![SV1:($i>$o),SV11:$i,SV6:$i]: ((((~ ((relr@SV6)@SV11)) | (![SY39:$i]: ((~ ((relr@SV11)@SY39)) | (SV1@SY39))))=$true) | ((SV1@((sK4_SY17@SV1)@SV6))=$false))),inference(extcnf_forall_pos,[status(thm)],[56])).
0.19/0.43	 thf(69,plain,(![SV2:($i>$o),SV7:$i]: ((((reli@SV7)@((sK5_SY20@SV2)@SV7))=$true) | ((SV2@SV7)=$true))),inference(extcnf_not_neg,[status(thm)],[57])).
0.19/0.43	 thf(70,plain,(![SV3:($i>$o),SV8:$i]: ((((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true) | ((![SY22:$i]: ((~ ((reli@SV8)@SY22)) | (![SY9:$i]: ((~ ((reli@SY22)@SY9)) | (SV3@SY9)))))=$true))),inference(extcnf_not_neg,[status(thm)],[59])).
0.19/0.43	 thf(71,plain,(![SV3:($i>$o),SV12:$i,SV8:$i]: ((((~ ((reli@SV8)@SV12)) | (![SY40:$i]: ((~ ((reli@SV12)@SY40)) | (SV3@SY40))))=$true) | ((SV3@((sK6_SY21@SV3)@SV8))=$false))),inference(extcnf_forall_pos,[status(thm)],[60])).
0.19/0.43	 thf(72,plain,(![SV4:($i>$o),SV9:$i]: ((((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_not_neg,[status(thm)],[61])).
0.19/0.43	 thf(73,plain,(![SV9:$i,SV4:($i>$o)]: ((((~ ((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))) | (SV4@((sK10_SY38@SV9)@SV4)))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_forall_neg,[status(esa)],[62])).
0.19/0.43	 thf(74,plain,(![SV5:($i>$o),SV10:$i]: ((((relr@SV10)@((sK8_SY28@SV5)@SV10))=$true) | ((SV5@SV10)=$true))),inference(extcnf_not_neg,[status(thm)],[63])).
0.19/0.43	 thf(75,plain,(![SV13:$i]: ((((~ ((reli@sK3_SY29)@SV13)) | (![SY41:$i]: ((~ ((relr@SV13)@SY41)) | (![SX4:$i]: ((~ ((reli@SY41)@SX4)) | (sK1_A@SX4))))))=$true))),inference(extcnf_forall_pos,[status(thm)],[65])).
0.19/0.43	 thf(76,plain,(((~ ((reli@sK3_SY29)@sK9_SY37))=$false)),inference(extcnf_or_neg,[status(thm)],[66])).
0.19/0.43	 thf(77,plain,(((sK1_A@sK9_SY37)=$false)),inference(extcnf_or_neg,[status(thm)],[66])).
0.19/0.43	 thf(78,plain,(![SV1:($i>$o),SV14:$i,SV6:$i]: ((((~ ((relr@SV6)@SV14)) | (![SY43:$i]: ((~ ((relr@SV14)@SY43)) | (SV1@SY43))))=$true) | (((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true))),inference(extcnf_forall_pos,[status(thm)],[67])).
0.19/0.43	 thf(79,plain,(![SV1:($i>$o),SV11:$i,SV6:$i]: (((~ ((relr@SV6)@SV11))=$true) | ((![SY39:$i]: ((~ ((relr@SV11)@SY39)) | (SV1@SY39)))=$true) | ((SV1@((sK4_SY17@SV1)@SV6))=$false))),inference(extcnf_or_pos,[status(thm)],[68])).
0.19/0.43	 thf(80,plain,(![SV3:($i>$o),SV15:$i,SV8:$i]: ((((~ ((reli@SV8)@SV15)) | (![SY44:$i]: ((~ ((reli@SV15)@SY44)) | (SV3@SY44))))=$true) | (((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true))),inference(extcnf_forall_pos,[status(thm)],[70])).
0.19/0.43	 thf(81,plain,(![SV3:($i>$o),SV12:$i,SV8:$i]: (((~ ((reli@SV8)@SV12))=$true) | ((![SY40:$i]: ((~ ((reli@SV12)@SY40)) | (SV3@SY40)))=$true) | ((SV3@((sK6_SY21@SV3)@SV8))=$false))),inference(extcnf_or_pos,[status(thm)],[71])).
0.19/0.43	 thf(82,plain,(![SV4:($i>$o),SV16:$i,SV9:$i]: ((((~ ((relr@SV9)@SV16)) | (![SY45:$i]: ((~ ((reli@SV16)@SY45)) | (SV4@SY45))))=$true) | (((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true))),inference(extcnf_forall_pos,[status(thm)],[72])).
0.19/0.43	 thf(83,plain,(![SV9:$i,SV4:($i>$o)]: (((~ ((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4)))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_or_neg,[status(thm)],[73])).
0.19/0.43	 thf(84,plain,(![SV9:$i,SV4:($i>$o)]: (((SV4@((sK10_SY38@SV9)@SV4))=$false) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_or_neg,[status(thm)],[73])).
0.19/0.43	 thf(85,plain,(![SV13:$i]: (((~ ((reli@sK3_SY29)@SV13))=$true) | ((![SY41:$i]: ((~ ((relr@SV13)@SY41)) | (![SX4:$i]: ((~ ((reli@SY41)@SX4)) | (sK1_A@SX4)))))=$true))),inference(extcnf_or_pos,[status(thm)],[75])).
0.19/0.43	 thf(86,plain,((((reli@sK3_SY29)@sK9_SY37)=$true)),inference(extcnf_not_neg,[status(thm)],[76])).
0.19/0.43	 thf(87,plain,(![SV1:($i>$o),SV14:$i,SV6:$i]: (((~ ((relr@SV6)@SV14))=$true) | ((![SY43:$i]: ((~ ((relr@SV14)@SY43)) | (SV1@SY43)))=$true) | (((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true))),inference(extcnf_or_pos,[status(thm)],[78])).
0.19/0.43	 thf(88,plain,(![SV1:($i>$o),SV11:$i,SV6:$i]: ((((relr@SV6)@SV11)=$false) | ((![SY39:$i]: ((~ ((relr@SV11)@SY39)) | (SV1@SY39)))=$true) | ((SV1@((sK4_SY17@SV1)@SV6))=$false))),inference(extcnf_not_pos,[status(thm)],[79])).
0.19/0.43	 thf(89,plain,(![SV3:($i>$o),SV15:$i,SV8:$i]: (((~ ((reli@SV8)@SV15))=$true) | ((![SY44:$i]: ((~ ((reli@SV15)@SY44)) | (SV3@SY44)))=$true) | (((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true))),inference(extcnf_or_pos,[status(thm)],[80])).
0.19/0.43	 thf(90,plain,(![SV3:($i>$o),SV12:$i,SV8:$i]: ((((reli@SV8)@SV12)=$false) | ((![SY40:$i]: ((~ ((reli@SV12)@SY40)) | (SV3@SY40)))=$true) | ((SV3@((sK6_SY21@SV3)@SV8))=$false))),inference(extcnf_not_pos,[status(thm)],[81])).
0.19/0.43	 thf(91,plain,(![SV4:($i>$o),SV16:$i,SV9:$i]: (((~ ((relr@SV9)@SV16))=$true) | ((![SY45:$i]: ((~ ((reli@SV16)@SY45)) | (SV4@SY45)))=$true) | (((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true))),inference(extcnf_or_pos,[status(thm)],[82])).
0.19/0.43	 thf(92,plain,(![SV9:$i,SV4:($i>$o)]: ((((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true) | ((![SY26:$i]: ((~ ((relr@SV9)@SY26)) | (![SY14:$i]: ((~ ((reli@SY26)@SY14)) | (SV4@SY14)))))=$true))),inference(extcnf_not_neg,[status(thm)],[83])).
0.19/0.43	 thf(93,plain,(![SV4:($i>$o),SV17:$i,SV9:$i]: ((((~ ((relr@SV9)@SV17)) | (![SY46:$i]: ((~ ((reli@SV17)@SY46)) | (SV4@SY46))))=$true) | ((SV4@((sK10_SY38@SV9)@SV4))=$false))),inference(extcnf_forall_pos,[status(thm)],[84])).
0.19/0.43	 thf(94,plain,(![SV13:$i]: ((((reli@sK3_SY29)@SV13)=$false) | ((![SY41:$i]: ((~ ((relr@SV13)@SY41)) | (![SX4:$i]: ((~ ((reli@SY41)@SX4)) | (sK1_A@SX4)))))=$true))),inference(extcnf_not_pos,[status(thm)],[85])).
0.19/0.43	 thf(95,plain,(![SV1:($i>$o),SV14:$i,SV6:$i]: ((((relr@SV6)@SV14)=$false) | ((![SY43:$i]: ((~ ((relr@SV14)@SY43)) | (SV1@SY43)))=$true) | (((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true))),inference(extcnf_not_pos,[status(thm)],[87])).
0.19/0.43	 thf(96,plain,(![SV6:$i,SV1:($i>$o),SV18:$i,SV11:$i]: ((((~ ((relr@SV11)@SV18)) | (SV1@SV18))=$true) | (((relr@SV6)@SV11)=$false) | ((SV1@((sK4_SY17@SV1)@SV6))=$false))),inference(extcnf_forall_pos,[status(thm)],[88])).
0.19/0.43	 thf(97,plain,(![SV3:($i>$o),SV15:$i,SV8:$i]: ((((reli@SV8)@SV15)=$false) | ((![SY44:$i]: ((~ ((reli@SV15)@SY44)) | (SV3@SY44)))=$true) | (((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true))),inference(extcnf_not_pos,[status(thm)],[89])).
0.19/0.43	 thf(98,plain,(![SV8:$i,SV3:($i>$o),SV19:$i,SV12:$i]: ((((~ ((reli@SV12)@SV19)) | (SV3@SV19))=$true) | (((reli@SV8)@SV12)=$false) | ((SV3@((sK6_SY21@SV3)@SV8))=$false))),inference(extcnf_forall_pos,[status(thm)],[90])).
0.19/0.43	 thf(99,plain,(![SV4:($i>$o),SV16:$i,SV9:$i]: ((((relr@SV9)@SV16)=$false) | ((![SY45:$i]: ((~ ((reli@SV16)@SY45)) | (SV4@SY45)))=$true) | (((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true))),inference(extcnf_not_pos,[status(thm)],[91])).
0.19/0.43	 thf(100,plain,(![SV4:($i>$o),SV20:$i,SV9:$i]: ((((~ ((relr@SV9)@SV20)) | (![SY47:$i]: ((~ ((reli@SV20)@SY47)) | (SV4@SY47))))=$true) | (((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true))),inference(extcnf_forall_pos,[status(thm)],[92])).
0.19/0.43	 thf(101,plain,(![SV4:($i>$o),SV17:$i,SV9:$i]: (((~ ((relr@SV9)@SV17))=$true) | ((![SY46:$i]: ((~ ((reli@SV17)@SY46)) | (SV4@SY46)))=$true) | ((SV4@((sK10_SY38@SV9)@SV4))=$false))),inference(extcnf_or_pos,[status(thm)],[93])).
0.19/0.43	 thf(102,plain,(![SV21:$i,SV13:$i]: ((((~ ((relr@SV13)@SV21)) | (![SY48:$i]: ((~ ((reli@SV21)@SY48)) | (sK1_A@SY48))))=$true) | (((reli@sK3_SY29)@SV13)=$false))),inference(extcnf_forall_pos,[status(thm)],[94])).
0.19/0.43	 thf(103,plain,(![SV6:$i,SV1:($i>$o),SV22:$i,SV14:$i]: ((((~ ((relr@SV14)@SV22)) | (SV1@SV22))=$true) | (((relr@SV6)@SV14)=$false) | (((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true))),inference(extcnf_forall_pos,[status(thm)],[95])).
0.19/0.43	 thf(104,plain,(![SV6:$i,SV1:($i>$o),SV18:$i,SV11:$i]: (((~ ((relr@SV11)@SV18))=$true) | ((SV1@SV18)=$true) | (((relr@SV6)@SV11)=$false) | ((SV1@((sK4_SY17@SV1)@SV6))=$false))),inference(extcnf_or_pos,[status(thm)],[96])).
0.19/0.43	 thf(105,plain,(![SV8:$i,SV3:($i>$o),SV23:$i,SV15:$i]: ((((~ ((reli@SV15)@SV23)) | (SV3@SV23))=$true) | (((reli@SV8)@SV15)=$false) | (((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true))),inference(extcnf_forall_pos,[status(thm)],[97])).
0.19/0.43	 thf(106,plain,(![SV8:$i,SV3:($i>$o),SV19:$i,SV12:$i]: (((~ ((reli@SV12)@SV19))=$true) | ((SV3@SV19)=$true) | (((reli@SV8)@SV12)=$false) | ((SV3@((sK6_SY21@SV3)@SV8))=$false))),inference(extcnf_or_pos,[status(thm)],[98])).
0.19/0.43	 thf(107,plain,(![SV9:$i,SV4:($i>$o),SV24:$i,SV16:$i]: ((((~ ((reli@SV16)@SV24)) | (SV4@SV24))=$true) | (((relr@SV9)@SV16)=$false) | (((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true))),inference(extcnf_forall_pos,[status(thm)],[99])).
0.19/0.43	 thf(108,plain,(![SV4:($i>$o),SV20:$i,SV9:$i]: (((~ ((relr@SV9)@SV20))=$true) | ((![SY47:$i]: ((~ ((reli@SV20)@SY47)) | (SV4@SY47)))=$true) | (((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true))),inference(extcnf_or_pos,[status(thm)],[100])).
0.19/0.43	 thf(109,plain,(![SV4:($i>$o),SV17:$i,SV9:$i]: ((((relr@SV9)@SV17)=$false) | ((![SY46:$i]: ((~ ((reli@SV17)@SY46)) | (SV4@SY46)))=$true) | ((SV4@((sK10_SY38@SV9)@SV4))=$false))),inference(extcnf_not_pos,[status(thm)],[101])).
0.19/0.43	 thf(110,plain,(![SV21:$i,SV13:$i]: (((~ ((relr@SV13)@SV21))=$true) | ((![SY48:$i]: ((~ ((reli@SV21)@SY48)) | (sK1_A@SY48)))=$true) | (((reli@sK3_SY29)@SV13)=$false))),inference(extcnf_or_pos,[status(thm)],[102])).
0.19/0.43	 thf(111,plain,(![SV6:$i,SV1:($i>$o),SV22:$i,SV14:$i]: (((~ ((relr@SV14)@SV22))=$true) | ((SV1@SV22)=$true) | (((relr@SV6)@SV14)=$false) | (((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true))),inference(extcnf_or_pos,[status(thm)],[103])).
0.19/0.43	 thf(112,plain,(![SV6:$i,SV1:($i>$o),SV18:$i,SV11:$i]: ((((relr@SV11)@SV18)=$false) | ((SV1@SV18)=$true) | (((relr@SV6)@SV11)=$false) | ((SV1@((sK4_SY17@SV1)@SV6))=$false))),inference(extcnf_not_pos,[status(thm)],[104])).
0.19/0.43	 thf(113,plain,(![SV8:$i,SV3:($i>$o),SV23:$i,SV15:$i]: (((~ ((reli@SV15)@SV23))=$true) | ((SV3@SV23)=$true) | (((reli@SV8)@SV15)=$false) | (((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true))),inference(extcnf_or_pos,[status(thm)],[105])).
0.19/0.43	 thf(114,plain,(![SV8:$i,SV3:($i>$o),SV19:$i,SV12:$i]: ((((reli@SV12)@SV19)=$false) | ((SV3@SV19)=$true) | (((reli@SV8)@SV12)=$false) | ((SV3@((sK6_SY21@SV3)@SV8))=$false))),inference(extcnf_not_pos,[status(thm)],[106])).
0.19/0.43	 thf(115,plain,(![SV9:$i,SV4:($i>$o),SV24:$i,SV16:$i]: (((~ ((reli@SV16)@SV24))=$true) | ((SV4@SV24)=$true) | (((relr@SV9)@SV16)=$false) | (((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true))),inference(extcnf_or_pos,[status(thm)],[107])).
0.19/0.43	 thf(116,plain,(![SV4:($i>$o),SV20:$i,SV9:$i]: ((((relr@SV9)@SV20)=$false) | ((![SY47:$i]: ((~ ((reli@SV20)@SY47)) | (SV4@SY47)))=$true) | (((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true))),inference(extcnf_not_pos,[status(thm)],[108])).
0.19/0.43	 thf(117,plain,(![SV9:$i,SV4:($i>$o),SV25:$i,SV17:$i]: ((((~ ((reli@SV17)@SV25)) | (SV4@SV25))=$true) | (((relr@SV9)@SV17)=$false) | ((SV4@((sK10_SY38@SV9)@SV4))=$false))),inference(extcnf_forall_pos,[status(thm)],[109])).
0.19/0.43	 thf(118,plain,(![SV21:$i,SV13:$i]: ((((relr@SV13)@SV21)=$false) | ((![SY48:$i]: ((~ ((reli@SV21)@SY48)) | (sK1_A@SY48)))=$true) | (((reli@sK3_SY29)@SV13)=$false))),inference(extcnf_not_pos,[status(thm)],[110])).
0.19/0.43	 thf(119,plain,(![SV6:$i,SV1:($i>$o),SV22:$i,SV14:$i]: ((((relr@SV14)@SV22)=$false) | ((SV1@SV22)=$true) | (((relr@SV6)@SV14)=$false) | (((relr@SV6)@((sK4_SY17@SV1)@SV6))=$true))),inference(extcnf_not_pos,[status(thm)],[111])).
0.19/0.43	 thf(120,plain,(![SV8:$i,SV3:($i>$o),SV23:$i,SV15:$i]: ((((reli@SV15)@SV23)=$false) | ((SV3@SV23)=$true) | (((reli@SV8)@SV15)=$false) | (((reli@SV8)@((sK6_SY21@SV3)@SV8))=$true))),inference(extcnf_not_pos,[status(thm)],[113])).
0.19/0.43	 thf(121,plain,(![SV9:$i,SV4:($i>$o),SV24:$i,SV16:$i]: ((((reli@SV16)@SV24)=$false) | ((SV4@SV24)=$true) | (((relr@SV9)@SV16)=$false) | (((reli@SV9)@((sK7_SY24@SV4)@SV9))=$true))),inference(extcnf_not_pos,[status(thm)],[115])).
0.19/0.43	 thf(122,plain,(![SV9:$i,SV4:($i>$o),SV26:$i,SV20:$i]: ((((~ ((reli@SV20)@SV26)) | (SV4@SV26))=$true) | (((relr@SV9)@SV20)=$false) | (((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true))),inference(extcnf_forall_pos,[status(thm)],[116])).
0.19/0.43	 thf(123,plain,(![SV9:$i,SV4:($i>$o),SV25:$i,SV17:$i]: (((~ ((reli@SV17)@SV25))=$true) | ((SV4@SV25)=$true) | (((relr@SV9)@SV17)=$false) | ((SV4@((sK10_SY38@SV9)@SV4))=$false))),inference(extcnf_or_pos,[status(thm)],[117])).
0.19/0.43	 thf(124,plain,(![SV13:$i,SV27:$i,SV21:$i]: ((((~ ((reli@SV21)@SV27)) | (sK1_A@SV27))=$true) | (((relr@SV13)@SV21)=$false) | (((reli@sK3_SY29)@SV13)=$false))),inference(extcnf_forall_pos,[status(thm)],[118])).
0.19/0.43	 thf(125,plain,(![SV9:$i,SV4:($i>$o),SV26:$i,SV20:$i]: (((~ ((reli@SV20)@SV26))=$true) | ((SV4@SV26)=$true) | (((relr@SV9)@SV20)=$false) | (((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true))),inference(extcnf_or_pos,[status(thm)],[122])).
0.19/0.43	 thf(126,plain,(![SV9:$i,SV4:($i>$o),SV25:$i,SV17:$i]: ((((reli@SV17)@SV25)=$false) | ((SV4@SV25)=$true) | (((relr@SV9)@SV17)=$false) | ((SV4@((sK10_SY38@SV9)@SV4))=$false))),inference(extcnf_not_pos,[status(thm)],[123])).
0.19/0.43	 thf(127,plain,(![SV13:$i,SV27:$i,SV21:$i]: (((~ ((reli@SV21)@SV27))=$true) | ((sK1_A@SV27)=$true) | (((relr@SV13)@SV21)=$false) | (((reli@sK3_SY29)@SV13)=$false))),inference(extcnf_or_pos,[status(thm)],[124])).
0.19/0.43	 thf(128,plain,(![SV9:$i,SV4:($i>$o),SV26:$i,SV20:$i]: ((((reli@SV20)@SV26)=$false) | ((SV4@SV26)=$true) | (((relr@SV9)@SV20)=$false) | (((relr@((sK7_SY24@SV4)@SV9))@((sK10_SY38@SV9)@SV4))=$true))),inference(extcnf_not_pos,[status(thm)],[125])).
0.19/0.43	 thf(129,plain,(![SV13:$i,SV27:$i,SV21:$i]: ((((reli@SV21)@SV27)=$false) | ((sK1_A@SV27)=$true) | (((relr@SV13)@SV21)=$false) | (((reli@sK3_SY29)@SV13)=$false))),inference(extcnf_not_pos,[status(thm)],[127])).
0.19/0.43	 thf(130,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[52,129,128,126,121,120,119,114,112,86,77,74,69,64,58])).
0.19/0.43	 thf(131,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[130])).
0.19/0.43	% SZS output end CNFRefutation
0.19/0.43	
0.19/0.43	%**** End of derivation protocol ****
0.19/0.43	%**** no. of clauses in derivation: 131 ****
0.19/0.43	%**** clause counter: 130 ****
0.19/0.43	
0.19/0.43	% SZS status Theorem for /export/starexec/sandbox2/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:130,loop_count:0,foatp_calls:1,translation:fof_full)
0.19/0.43	EOF