0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
0.03/0.23	% Computer   : n135.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sun Jul 15 13:31:10 CDT 2018
0.03/0.23	% CPUTime    : 
0.03/0.23	
0.03/0.23	 No.of.Axioms: 0
0.03/0.23	
0.03/0.23	 Length.of.Defs: 911
0.03/0.23	
0.03/0.23	 Contains.Choice.Funs: false
0.03/0.24	(rf:0,axioms:0,ps:3,u:6,ude:true,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:2,loop_count:0,foatp_calls:0,translation:fof_full)........eprover: CPU time limit exceeded, terminating
25.06/25.33	..eprover: CPU time limit exceeded, terminating
50.28/50.52	.
50.28/50.52	
50.28/50.52	 Prim_subst applied to clause 
50.28/50.52	 
50.28/50.52	94:[ 0:<(in@SV29)@((dsetconstr@SV28)@(^[SX0:$i]: (SV27@SX0))) = $false>-w(1)-i() 1:<SV27@SV29 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 23)-o(AXIOM)-fv([ SV27 SV28 SV29 ])
51.19/51.41	............eprover: CPU time limit exceeded, terminating
74.45/74.73	....
74.94/75.15	(rf:0,axioms:0,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)......eprover: CPU time limit exceeded, terminating
99.92/100.22	..eprover: CPU time limit exceeded, terminating
125.08/125.35	
125.08/125.35	
125.08/125.35	 Prim_subst applied to clause 
125.08/125.35	 
125.08/125.35	75:[ 0:<(in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0))) = $false>-w(1)-i() 1:<SV23@SV25 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 25)-o(AXIOM)-fv([ SV23 SV24 SV25 ])
125.32/125.59	.......
127.06/127.27	
127.06/127.27	 Prim_subst applied to clause 
127.06/127.27	 
127.06/127.27	173:[ 0:<SV79@SV78 = $false>-w(1)-i() 1:<(in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0)))) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 72)-o(AXIOM)-fv([ SV77 SV78 SV79 ])
127.13/127.36	....
130.66/130.95	
130.66/130.95	********************************
130.66/130.95	*   All subproblems solved!    *
130.66/130.95	********************************
130.66/130.95	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:249,loop_count:10,foatp_calls:3,translation:fof_full)
130.76/130.97	
130.76/130.97	%**** Beginning of derivation protocol ****
130.76/130.97	% SZS output start CNFRefutation
130.76/130.97	 thf(tp_cartprod,type,(cartprod: ($i>($i>$i)))).
130.76/130.97	 thf(tp_dpsetconstr,type,(dpsetconstr: ($i>($i>(($i>($i>$o))>$i))))).
130.76/130.97	 thf(tp_dsetconstr,type,(dsetconstr: ($i>(($i>$o)>$i)))).
130.76/130.97	 thf(tp_dsetconstrER,type,(dsetconstrER: $o)).
130.76/130.97	 thf(tp_in,type,(in: ($i>($i>$o)))).
130.76/130.97	 thf(tp_kpair,type,(kpair: ($i>($i>$i)))).
130.76/130.97	 thf(tp_sK10_E,type,(sK10_E: (($i>$o)>$i))).
130.76/130.97	 thf(tp_sK11_SY203,type,(sK11_SY203: (($i>$o)>$i))).
130.76/130.97	 thf(tp_sK12_SY210,type,(sK12_SY210: (($i>$o)>$i))).
130.76/130.97	 thf(tp_sK13_E,type,(sK13_E: $i)).
130.76/130.97	 thf(tp_sK1_A,type,(sK1_A: $i)).
130.76/130.97	 thf(tp_sK2_SY122,type,(sK2_SY122: $i)).
130.76/130.97	 thf(tp_sK3_SY128,type,(sK3_SY128: ($i>($i>$o)))).
130.76/130.97	 thf(tp_sK4_SY133,type,(sK4_SY133: $i)).
130.76/130.97	 thf(tp_sK5_SY137,type,(sK5_SY137: $i)).
130.76/130.97	 thf(tp_sK6_E,type,(sK6_E: (($i>$o)>$i))).
130.76/130.97	 thf(tp_sK7_SY181,type,(sK7_SY181: (($i>$o)>$i))).
130.76/130.97	 thf(tp_sK8_SY184,type,(sK8_SY184: (($i>$o)>$i))).
130.76/130.97	 thf(tp_sK9_E,type,(sK9_E: $i)).
130.76/130.97	 thf(tp_setukpairinjL,type,(setukpairinjL: $o)).
130.76/130.97	 thf(tp_setukpairinjR,type,(setukpairinjR: $o)).
130.76/130.97	 thf(dpsetconstr,definition,(dpsetconstr = (^[A:$i,B:$i,Xphi:($i>($i>$o))]: ((dsetconstr@((cartprod@A)@B))@(^[Xu:$i]: (?[Xx:$i]: (((in@Xx)@A) & (?[Xy:$i]: ((((in@Xy)@B) & ((Xphi@Xx)@Xy)) & (Xu = ((kpair@Xx)@Xy)))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstr)).
130.76/130.97	 thf(dsetconstrER,definition,(dsetconstrER = (![A:$i,Xphi:($i>$o),Xx:$i]: (((in@Xx)@((dsetconstr@A)@(^[Xy:$i]: (Xphi@Xy)))) => (Xphi@Xx)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER)).
130.76/130.97	 thf(setukpairinjL,definition,(setukpairinjL = (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: ((((kpair@Xx)@Xy) = ((kpair@Xz)@Xu)) => (Xx = Xz)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjL)).
130.76/130.97	 thf(setukpairinjR,definition,(setukpairinjR = (![Xx:$i,Xy:$i,Xz:$i,Xu:$i]: ((((kpair@Xx)@Xy) = ((kpair@Xz)@Xu)) => (Xy = Xu)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjR)).
130.76/130.97	 thf(1,conjecture,(dsetconstrER => ((setukpairinjR => (![A:$i,B:$i,Xphi:($i>($i>$o)),Xx:$i]: (((in@Xx)@A) => (![Xy:$i]: ((((Xphi@Xx)@Xy) <= ((in@((kpair@Xx)@Xy))@(((dpsetconstr@A)@B)@(^[Xz:$i,Xu:$i]: ((Xphi@Xz)@Xu))))) <= ((in@Xy)@B)))))) <= setukpairinjL)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstrERa)).
130.76/130.97	 thf(2,negated_conjecture,(((dsetconstrER => ((setukpairinjR => (![A:$i,B:$i,Xphi:($i>($i>$o)),Xx:$i]: (((in@Xx)@A) => (![Xy:$i]: ((((Xphi@Xx)@Xy) <= ((in@((kpair@Xx)@Xy))@(((dpsetconstr@A)@B)@(^[Xz:$i,Xu:$i]: ((Xphi@Xz)@Xu))))) <= ((in@Xy)@B)))))) <= setukpairinjL))=$false)),inference(negate_conjecture,[status(cth)],[1])).
130.76/130.97	 thf(3,plain,(((dsetconstrER)=$true)),inference(standard_cnf,[status(thm)],[2])).
130.76/130.97	 thf(4,plain,((((setukpairinjR => (![A:$i,B:$i,Xphi:($i>($i>$o)),Xx:$i]: (((in@Xx)@A) => (![Xy:$i]: ((((Xphi@Xx)@Xy) <= ((in@((kpair@Xx)@Xy))@(((dpsetconstr@A)@B)@(^[Xz:$i,Xu:$i]: ((Xphi@Xz)@Xu))))) <= ((in@Xy)@B)))))) <= setukpairinjL)=$false)),inference(standard_cnf,[status(thm)],[2])).
130.76/130.97	 thf(5,plain,(((~ ((setukpairinjR => (![A:$i,B:$i,Xphi:($i>($i>$o)),Xx:$i]: (((in@Xx)@A) => (![Xy:$i]: ((((Xphi@Xx)@Xy) <= ((in@((kpair@Xx)@Xy))@(((dpsetconstr@A)@B)@(^[Xz:$i,Xu:$i]: ((Xphi@Xz)@Xu))))) <= ((in@Xy)@B)))))) <= setukpairinjL))=$true)),inference(polarity_switch,[status(thm)],[4])).
130.76/130.97	 thf(6,plain,(((setukpairinjL & (setukpairinjR & (((in@sK4_SY133)@sK1_A) & (((in@sK5_SY137)@sK2_SY122) & (((in@((kpair@sK4_SY133)@sK5_SY137))@(((dpsetconstr@sK1_A)@sK2_SY122)@(^[SY135:$i,SY136:$i]: ((sK3_SY128@SY135)@SY136)))) & (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))=$true)),inference(extcnf_combined,[status(esa)],[5])).
130.76/130.97	 thf(7,plain,(((dsetconstrER)=$true)),inference(copy,[status(thm)],[3])).
130.76/130.97	 thf(8,plain,(((setukpairinjL & (setukpairinjR & (((in@sK4_SY133)@sK1_A) & (((in@sK5_SY137)@sK2_SY122) & (((in@((kpair@sK4_SY133)@sK5_SY137))@(((dpsetconstr@sK1_A)@sK2_SY122)@(^[SY135:$i,SY136:$i]: ((sK3_SY128@SY135)@SY136)))) & (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))=$true)),inference(copy,[status(thm)],[6])).
130.76/130.97	 thf(9,plain,(((~ ((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX0 = SX2)))) | (~ (~ ((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3)))) | (~ (~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))))))))))))=$true)),inference(unfold_def,[status(thm)],[8,dpsetconstr,dsetconstrER,setukpairinjL,setukpairinjR])).
130.76/130.97	 thf(10,plain,(((![SX0:$i,SX1:($i>$o),SX2:$i]: ((~ ((in@SX2)@((dsetconstr@SX0)@(^[SX3:$i]: (SX1@SX3))))) | (SX1@SX2)))=$true)),inference(unfold_def,[status(thm)],[7,dpsetconstr,dsetconstrER,setukpairinjL,setukpairinjR])).
130.76/130.97	 thf(11,plain,((((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX0 = SX2)))) | (~ (~ ((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3)))) | (~ (~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))))))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[9])).
130.76/130.97	 thf(12,plain,(![SV1:$i]: (((![SY142:($i>$o),SY143:$i]: ((~ ((in@SY143)@((dsetconstr@SV1)@(^[SX3:$i]: (SY142@SX3))))) | (SY142@SY143)))=$true))),inference(extcnf_forall_pos,[status(thm)],[10])).
130.76/130.97	 thf(13,plain,(((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX0 = SX2))))=$false)),inference(extcnf_or_neg,[status(thm)],[11])).
130.76/130.97	 thf(14,plain,(((~ (~ ((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3)))) | (~ (~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[11])).
130.76/130.98	 thf(15,plain,(![SV2:($i>$o),SV1:$i]: (((![SY145:$i]: ((~ ((in@SY145)@((dsetconstr@SV1)@(^[SY146:$i]: (SV2@SY146))))) | (SV2@SY145)))=$true))),inference(extcnf_forall_pos,[status(thm)],[12])).
130.76/130.98	 thf(16,plain,(((![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX0 = SX2)))=$true)),inference(extcnf_not_neg,[status(thm)],[13])).
130.76/130.98	 thf(17,plain,(((~ ((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3)))) | (~ (~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))))))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[14])).
130.76/130.98	 thf(18,plain,(![SV2:($i>$o),SV1:$i,SV3:$i]: ((((~ ((in@SV3)@((dsetconstr@SV1)@(^[SY146:$i]: (SV2@SY146))))) | (SV2@SV3))=$true))),inference(extcnf_forall_pos,[status(thm)],[15])).
130.76/130.98	 thf(19,plain,(![SV4:$i]: (((![SY148:$i,SY149:$i,SY150:$i]: ((~ (((kpair@SV4)@SY148) = ((kpair@SY149)@SY150))) | (SV4 = SY149)))=$true))),inference(extcnf_forall_pos,[status(thm)],[16])).
130.76/130.98	 thf(20,plain,((((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3)))) | (~ (~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[17])).
130.76/130.98	 thf(21,plain,(![SV2:($i>$o),SV1:$i,SV3:$i]: (((~ ((in@SV3)@((dsetconstr@SV1)@(^[SY146:$i]: (SV2@SY146)))))=$true) | ((SV2@SV3)=$true))),inference(extcnf_or_pos,[status(thm)],[18])).
130.76/130.98	 thf(22,plain,(![SV5:$i,SV4:$i]: (((![SY151:$i,SY152:$i]: ((~ (((kpair@SV4)@SV5) = ((kpair@SY151)@SY152))) | (SV4 = SY151)))=$true))),inference(extcnf_forall_pos,[status(thm)],[19])).
130.76/130.98	 thf(23,plain,(((~ (![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3))))=$false)),inference(extcnf_or_neg,[status(thm)],[20])).
130.76/130.98	 thf(24,plain,(((~ (~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[20])).
130.76/130.98	 thf(25,plain,(![SV2:($i>$o),SV1:$i,SV3:$i]: ((((in@SV3)@((dsetconstr@SV1)@(^[SY146:$i]: (SV2@SY146))))=$false) | ((SV2@SV3)=$true))),inference(extcnf_not_pos,[status(thm)],[21])).
130.76/130.98	 thf(26,plain,(![SV6:$i,SV5:$i,SV4:$i]: (((![SY153:$i]: ((~ (((kpair@SV4)@SV5) = ((kpair@SV6)@SY153))) | (SV4 = SV6)))=$true))),inference(extcnf_forall_pos,[status(thm)],[22])).
130.76/130.98	 thf(27,plain,(((![SX0:$i,SX1:$i,SX2:$i,SX3:$i]: ((~ (((kpair@SX0)@SX1) = ((kpair@SX2)@SX3))) | (SX1 = SX3)))=$true)),inference(extcnf_not_neg,[status(thm)],[23])).
130.76/130.98	 thf(28,plain,(((~ ((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[24])).
130.76/130.98	 thf(29,plain,(![SV7:$i,SV6:$i,SV5:$i,SV4:$i]: ((((~ (((kpair@SV4)@SV5) = ((kpair@SV6)@SV7))) | (SV4 = SV6))=$true))),inference(extcnf_forall_pos,[status(thm)],[26])).
130.76/130.98	 thf(30,plain,(![SV8:$i]: (((![SY154:$i,SY155:$i,SY156:$i]: ((~ (((kpair@SV8)@SY154) = ((kpair@SY155)@SY156))) | (SY154 = SY156)))=$true))),inference(extcnf_forall_pos,[status(thm)],[27])).
130.76/130.98	 thf(31,plain,((((~ ((in@sK4_SY133)@sK1_A)) | (~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[28])).
130.76/130.98	 thf(32,plain,(![SV7:$i,SV6:$i,SV5:$i,SV4:$i]: (((~ (((kpair@SV4)@SV5) = ((kpair@SV6)@SV7)))=$true) | ((SV4 = SV6)=$true))),inference(extcnf_or_pos,[status(thm)],[29])).
130.76/130.98	 thf(33,plain,(![SV9:$i,SV8:$i]: (((![SY157:$i,SY158:$i]: ((~ (((kpair@SV8)@SV9) = ((kpair@SY157)@SY158))) | (SV9 = SY158)))=$true))),inference(extcnf_forall_pos,[status(thm)],[30])).
130.76/130.98	 thf(34,plain,(((~ ((in@sK4_SY133)@sK1_A))=$false)),inference(extcnf_or_neg,[status(thm)],[31])).
130.76/130.98	 thf(35,plain,(((~ (~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[31])).
130.76/130.98	 thf(36,plain,(![SV7:$i,SV6:$i,SV5:$i,SV4:$i]: (((((kpair@SV4)@SV5) = ((kpair@SV6)@SV7))=$false) | ((SV4 = SV6)=$true))),inference(extcnf_not_pos,[status(thm)],[32])).
130.76/130.98	 thf(37,plain,(![SV10:$i,SV9:$i,SV8:$i]: (((![SY159:$i]: ((~ (((kpair@SV8)@SV9) = ((kpair@SV10)@SY159))) | (SV9 = SY159)))=$true))),inference(extcnf_forall_pos,[status(thm)],[33])).
130.76/130.98	 thf(38,plain,((((in@sK4_SY133)@sK1_A)=$true)),inference(extcnf_not_neg,[status(thm)],[34])).
130.76/130.98	 thf(39,plain,(((~ ((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[35])).
130.76/130.98	 thf(40,plain,(![SV11:$i,SV10:$i,SV9:$i,SV8:$i]: ((((~ (((kpair@SV8)@SV9) = ((kpair@SV10)@SV11))) | (SV9 = SV11))=$true))),inference(extcnf_forall_pos,[status(thm)],[37])).
130.76/130.98	 thf(41,plain,((((~ ((in@sK5_SY137)@sK2_SY122)) | (~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))))=$false)),inference(extcnf_not_pos,[status(thm)],[39])).
130.76/130.98	 thf(42,plain,(![SV11:$i,SV10:$i,SV9:$i,SV8:$i]: (((~ (((kpair@SV8)@SV9) = ((kpair@SV10)@SV11)))=$true) | ((SV9 = SV11)=$true))),inference(extcnf_or_pos,[status(thm)],[40])).
130.76/130.98	 thf(43,plain,(((~ ((in@sK5_SY137)@sK2_SY122))=$false)),inference(extcnf_or_neg,[status(thm)],[41])).
130.76/130.98	 thf(44,plain,(((~ (~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))))=$false)),inference(extcnf_or_neg,[status(thm)],[41])).
130.76/130.98	 thf(45,plain,(![SV11:$i,SV10:$i,SV9:$i,SV8:$i]: (((((kpair@SV8)@SV9) = ((kpair@SV10)@SV11))=$false) | ((SV9 = SV11)=$true))),inference(extcnf_not_pos,[status(thm)],[42])).
130.76/130.98	 thf(46,plain,((((in@sK5_SY137)@sK2_SY122)=$true)),inference(extcnf_not_neg,[status(thm)],[43])).
130.76/130.98	 thf(47,plain,(((~ ((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))))=$true)),inference(extcnf_not_neg,[status(thm)],[44])).
130.76/130.98	 thf(48,plain,((((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))) | (~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137))))=$false)),inference(extcnf_not_pos,[status(thm)],[47])).
130.76/130.98	 thf(49,plain,(((~ ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2))))))))))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[48])).
130.76/130.98	 thf(50,plain,(((~ (~ ((sK3_SY128@sK4_SY133)@sK5_SY137)))=$false)),inference(extcnf_or_neg,[status(thm)],[48])).
130.76/130.98	 thf(51,plain,((((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[49])).
130.76/130.98	 thf(52,plain,(((~ ((sK3_SY128@sK4_SY133)@sK5_SY137))=$true)),inference(extcnf_not_neg,[status(thm)],[50])).
130.76/130.98	 thf(53,plain,((((sK3_SY128@sK4_SY133)@sK5_SY137)=$false)),inference(extcnf_not_pos,[status(thm)],[52])).
130.76/130.98	 thf(55,plain,(![SV1:$i,SV3:$i]: ((((in@SV3)@((dsetconstr@SV1)@(^[SX0:$i]: $false)))=$false) | (($false)=$true))),inference(prim_subst,[status(thm)],[25:[bind(SV2,$thf(^[SV14:$i]: $false))]])).
130.76/130.98	 thf(56,plain,(![SV13:($i>$o),SV1:$i,SV3:$i]: ((((in@SV3)@((dsetconstr@SV1)@(^[SX0:$i]: (~ (SV13@SX0)))))=$false) | ((~ (SV13@SV3))=$true))),inference(prim_subst,[status(thm)],[25:[bind(SV2,$thf(^[SV12:$i]: (~ (SV13@SV12))))]])).
130.76/130.98	 thf(72,plain,(![SV1:$i,SV3:$i,SV13:($i>$o)]: (((SV13@SV3)=$false) | (((in@SV3)@((dsetconstr@SV1)@(^[SX0:$i]: (~ (SV13@SX0)))))=$false))),inference(extcnf_not_pos,[status(thm)],[56])).
130.76/130.98	 thf(74,plain,(![SV1:$i,SV3:$i]: ((((in@SV3)@((dsetconstr@SV1)@(^[SX0:$i]: $false)))=$false))),inference(sim,[status(thm)],[55])).
130.76/130.98	 thf(75,plain,(![SV23:($i>$o),SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0))))=$false) | ((SV23@SV25)=$true))),inference(rename,[status(thm)],[25])).
130.76/130.98	 thf(79,plain,(![SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: $false)))=$false) | (($false)=$true))),inference(prim_subst,[status(thm)],[75:[bind(SV23, $thf(^[SV28:$i]: $false))]])).
130.76/130.98	 thf(80,plain,(![SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: $false)))=$false))),inference(sim,[status(thm)],[79])).
130.76/130.98	 thf(81,plain,(![SV27:($i>$o),SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (~ (SV27@SX0)))))=$false) | ((~ (SV27@SV25))=$true))),inference(prim_subst,[status(thm)],[75:[bind(SV23, $thf(^[SV26:$i]: (~ (SV27@SV26))))]])).
130.76/130.98	 thf(82,plain,(![SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SX0 = sK5_SY137))))=$false) | ((SV25 = sK5_SY137)=$true))),inference(prim_subst,[status(thm)],[75:[bind(SV23, $thf(^[SV30:$i]: (SV30 = sK5_SY137)))]])).
130.76/130.98	 thf(83,plain,(![SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SX0 = sK1_A))))=$false) | ((SV25 = sK1_A)=$true))),inference(prim_subst,[status(thm)],[75:[bind(SV23, $thf(^[SV31:$i]: (SV31 = sK1_A)))]])).
130.76/130.98	 thf(84,plain,(![SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SX0 = sK4_SY133))))=$false) | ((SV25 = sK4_SY133)=$true))),inference(prim_subst,[status(thm)],[75:[bind(SV23, $thf(^[SV32:$i]: (SV32 = sK4_SY133)))]])).
130.76/130.98	 thf(85,plain,(![SV24:$i,SV25:$i]: ((((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SX0 = sK2_SY122))))=$false) | ((SV25 = sK2_SY122)=$true))),inference(prim_subst,[status(thm)],[75:[bind(SV23, $thf(^[SV33:$i]: (SV33 = sK2_SY122)))]])).
130.76/130.98	 thf(87,plain,(![SV24:$i,SV25:$i,SV27:($i>$o)]: (((SV27@SV25)=$false) | (((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (~ (SV27@SX0)))))=$false))),inference(extcnf_not_pos,[status(thm)],[81])).
130.76/130.98	 thf(88,plain,(![SV67:$i,SV68:$i,SV69:$i,SV70:$i]: (((((kpair@SV70)@SV69) = ((kpair@SV68)@SV67))=$false) | ((SV70 = SV68)=$true))),inference(rename,[status(thm)],[36])).
130.76/130.98	 thf(95,plain,(![SV23:($i>$o),SV24:$i,SV25:$i]: (((((in@sK4_SY133)@sK1_A) = ((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0)))))=$false) | ((SV23@SV25)=$true))),inference(res,[status(thm)],[38,75])).
130.76/130.98	 thf(96,plain,(![SV24:$i,SV23:($i>$o)]: (((SV23@sK4_SY133)=$true) | ((sK1_A = ((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0))))=$false))),inference(extuni,[status(esa)],[95:[bind(SV25,$thf(sK4_SY133))]])).
130.76/130.98	 thf(97,plain,(![SV71:$i,SV72:$i,SV73:$i,SV74:$i]: (((((kpair@SV74)@SV73) = ((kpair@SV72)@SV71))=$false) | ((SV73 = SV71)=$true))),inference(rename,[status(thm)],[45])).
130.76/130.98	 thf(100,plain,(![SV71:$i,SV72:$i,SV73:$i,SV74:$i,SV67:$i,SV68:$i,SV69:$i,SV70:$i]: ((((((kpair@SV74)@SV73) = ((kpair@SV72)@SV71)) = (SV70 = SV68))=$false) | ((SV73 = SV71)=$true) | ((((kpair@SV70)@SV69) = ((kpair@SV68)@SV67))=$false))),inference(res,[status(thm)],[97,88])).
130.76/130.98	 thf(101,plain,(![SV71:$i,SV72:$i,SV73:$i,SV74:$i,SV67:$i,SV68:$i,SV69:$i,SV70:$i]: ((((SV73 = SV71) = (((kpair@SV70)@SV69) = ((kpair@SV68)@SV67)))=$false) | ((((kpair@SV74)@SV73) = ((kpair@SV72)@SV71))=$false) | ((SV70 = SV68)=$true))),inference(res,[status(thm)],[97,88])).
130.76/130.98	 thf(106,plain,(![SV69:$i,SV67:$i,SV68:$i,SV70:$i]: (((SV70 = SV68)=$true) | ((((kpair@SV68)@SV67) = ((kpair@SV70)@SV69))=$false))),inference(extuni,[status(esa)],[101:[bind(SV74,$thf(SV72)),bind(SV73,$thf((kpair@SV68)@SV67)),bind(SV71,$thf((kpair@SV70)@SV69))]])).
130.76/130.98	 thf(107,plain,(![SV69:$i,SV72:$i,SV67:$i,SV74:$i,SV68:$i,SV70:$i]: (((SV70 = SV68)=$true) | ((((kpair@SV74)@((kpair@SV68)@SV67)) = ((kpair@SV72)@((kpair@SV70)@SV69)))=$false))),inference(extuni,[status(esa)],[101:[bind(SV73,$thf((kpair@SV68)@SV67)),bind(SV71,$thf((kpair@SV70)@SV69))]])).
130.76/130.98	 thf(109,plain,(![SV67:$i,SV69:$i,SV68:$i,SV70:$i]: (((SV70 = SV68)=$true) | ((((kpair@SV70)@SV69) = ((kpair@SV68)@SV67))=$false))),inference(extuni,[status(esa)],[101:[bind(SV74,$thf(SV72)),bind(SV71,$thf((kpair@SV68)@SV67)),bind(SV73,$thf((kpair@SV70)@SV69))]])).
130.76/130.98	 thf(110,plain,(![SV67:$i,SV72:$i,SV69:$i,SV74:$i,SV68:$i,SV70:$i]: (((SV70 = SV68)=$true) | ((((kpair@SV74)@((kpair@SV70)@SV69)) = ((kpair@SV72)@((kpair@SV68)@SV67)))=$false))),inference(extuni,[status(esa)],[101:[bind(SV71,$thf((kpair@SV68)@SV67)),bind(SV73,$thf((kpair@SV70)@SV69))]])).
130.76/130.98	 thf(112,plain,(![SV73:$i,SV74:$i,SV71:$i,SV72:$i]: (((((kpair@SV72)@SV71) = ((kpair@SV74)@SV73))=$false) | ((SV73 = SV71)=$true))),inference(extuni,[status(esa)],[100:[bind(SV69,$thf(SV67)),bind(SV68,$thf((kpair@SV74)@SV73)),bind(SV70,$thf((kpair@SV72)@SV71))]])).
130.76/130.98	 thf(113,plain,(![SV67:$i,SV73:$i,SV74:$i,SV69:$i,SV71:$i,SV72:$i]: (((((kpair@((kpair@SV72)@SV71))@SV69) = ((kpair@((kpair@SV74)@SV73))@SV67))=$false) | ((SV73 = SV71)=$true))),inference(extuni,[status(esa)],[100:[bind(SV68,$thf((kpair@SV74)@SV73)),bind(SV70,$thf((kpair@SV72)@SV71))]])).
130.76/130.98	 thf(115,plain,(![SV71:$i,SV72:$i,SV73:$i,SV74:$i]: (((((kpair@SV74)@SV73) = ((kpair@SV72)@SV71))=$false) | ((SV73 = SV71)=$true))),inference(extuni,[status(esa)],[100:[bind(SV69,$thf(SV67)),bind(SV68,$thf((kpair@SV72)@SV71)),bind(SV70,$thf((kpair@SV74)@SV73))]])).
130.76/130.98	 thf(116,plain,(![SV67:$i,SV71:$i,SV72:$i,SV69:$i,SV73:$i,SV74:$i]: (((((kpair@((kpair@SV74)@SV73))@SV69) = ((kpair@((kpair@SV72)@SV71))@SV67))=$false) | ((SV73 = SV71)=$true))),inference(extuni,[status(esa)],[100:[bind(SV68,$thf((kpair@SV72)@SV71)),bind(SV70,$thf((kpair@SV74)@SV73))]])).
130.76/130.98	 thf(120,plain,(![SV23:($i>$o),SV24:$i,SV25:$i]: (((((in@sK5_SY137)@sK2_SY122) = ((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0)))))=$false) | ((SV23@SV25)=$true))),inference(res,[status(thm)],[46,75])).
130.76/130.98	 thf(121,plain,(![SV24:$i,SV23:($i>$o)]: (((SV23@sK5_SY137)=$true) | ((sK2_SY122 = ((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0))))=$false))),inference(extuni,[status(esa)],[120:[bind(SV25,$thf(sK5_SY137))]])).
130.76/130.98	 thf(124,plain,(![SV23:($i>$o),SV24:$i,SV25:$i]: (((((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2))))))))))))))))) = ((in@SV25)@((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0)))))=$false) | ((SV23@SV25)=$true))),inference(res,[status(thm)],[51,75])).
130.76/130.98	 thf(125,plain,(![SV23:($i>$o)]: (((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((~ (![SY181:$i]: (~ (~ ((~ ((in@SY181)@sK1_A)) | (~ (~ (![SY182:$i]: (~ (~ ((~ (~ ((~ ((in@SY182)@sK2_SY122)) | (~ ((sK3_SY128@SY181)@SY182))))) | (~ ((sK6_E@SV23) = ((kpair@SY181)@SY182))))))))))))))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extuni,[status(esa)],[124:[bind(SV24,$thf((cartprod@sK1_A)@sK2_SY122)),bind(SV25,$thf((kpair@sK4_SY133)@sK5_SY137))]])).
130.76/130.98	 thf(126,plain,(![SV23:($i>$o)]: (((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((~ (![SY181:$i]: (~ (~ ((~ ((in@SY181)@sK1_A)) | (~ (~ (![SY182:$i]: (~ (~ ((~ (~ ((~ ((in@SY182)@sK2_SY122)) | (~ ((sK3_SY128@SY181)@SY182))))) | (~ ((sK6_E@SV23) = ((kpair@SY181)@SY182))))))))))))))=$false) | ((SV23@(sK6_E@SV23))=$false))),inference(extuni,[status(esa)],[124:[bind(SV24,$thf((cartprod@sK1_A)@sK2_SY122)),bind(SV25,$thf((kpair@sK4_SY133)@sK5_SY137))]])).
130.76/130.98	 thf(127,plain,(![SV24:$i,SV23:($i>$o)]: (((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))) = ((dsetconstr@SV24)@(^[SX0:$i]: (SV23@SX0))))=$false))),inference(extuni,[status(esa)],[124:[bind(SV25,$thf((kpair@sK4_SY133)@sK5_SY137))]])).
130.76/130.98	 thf(128,plain,(![SV23:($i>$o)]: (((![SY181:$i]: (~ (~ ((~ ((in@SY181)@sK1_A)) | (~ (~ (![SY182:$i]: (~ (~ ((~ (~ ((~ ((in@SY182)@sK2_SY122)) | (~ ((sK3_SY128@SY181)@SY182))))) | (~ ((sK6_E@SV23) = ((kpair@SY181)@SY182)))))))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[126])).
130.76/130.98	 thf(129,plain,(![SV23:($i>$o)]: (((![SY181:$i]: (~ (~ ((~ ((in@SY181)@sK1_A)) | (~ (~ (![SY182:$i]: (~ (~ ((~ (~ ((~ ((in@SY182)@sK2_SY122)) | (~ ((sK3_SY128@SY181)@SY182))))) | (~ ((sK6_E@SV23) = ((kpair@SY181)@SY182)))))))))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[125])).
130.76/130.98	 thf(130,plain,(![SV23:($i>$o),SV75:$i]: (((~ (~ ((~ ((in@SV75)@sK1_A)) | (~ (~ (![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183))))))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_forall_pos,[status(thm)],[128])).
130.76/130.98	 thf(131,plain,(![SV23:($i>$o)]: (((~ (~ ((~ ((in@(sK7_SY181@SV23))@sK1_A)) | (~ (~ (![SY184:$i]: (~ (~ ((~ (~ ((~ ((in@SY184)@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@SY184))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@SY184))))))))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_forall_neg,[status(esa)],[129])).
130.76/130.98	 thf(132,plain,(![SV23:($i>$o),SV75:$i]: (((~ ((~ ((in@SV75)@sK1_A)) | (~ (~ (![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183)))))))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[130])).
130.76/130.98	 thf(133,plain,(![SV23:($i>$o)]: (((~ ((~ ((in@(sK7_SY181@SV23))@sK1_A)) | (~ (~ (![SY184:$i]: (~ (~ ((~ (~ ((~ ((in@SY184)@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@SY184))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@SY184)))))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[131])).
130.76/130.98	 thf(134,plain,(![SV23:($i>$o),SV75:$i]: ((((~ ((in@SV75)@sK1_A)) | (~ (~ (![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183))))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[132])).
130.76/130.98	 thf(135,plain,(![SV23:($i>$o)]: ((((~ ((in@(sK7_SY181@SV23))@sK1_A)) | (~ (~ (![SY184:$i]: (~ (~ ((~ (~ ((~ ((in@SY184)@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@SY184))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@SY184))))))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[133])).
130.76/130.98	 thf(136,plain,(![SV23:($i>$o),SV75:$i]: (((~ ((in@SV75)@sK1_A))=$true) | ((~ (~ (![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183)))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_or_pos,[status(thm)],[134])).
130.76/130.98	 thf(137,plain,(![SV23:($i>$o)]: (((~ ((in@(sK7_SY181@SV23))@sK1_A))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_or_neg,[status(thm)],[135])).
130.76/130.98	 thf(138,plain,(![SV23:($i>$o)]: (((~ (~ (![SY184:$i]: (~ (~ ((~ (~ ((~ ((in@SY184)@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@SY184))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@SY184)))))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_or_neg,[status(thm)],[135])).
130.76/130.98	 thf(139,plain,(![SV23:($i>$o),SV75:$i]: ((((in@SV75)@sK1_A)=$false) | ((~ (~ (![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183)))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[136])).
130.76/130.98	 thf(140,plain,(![SV23:($i>$o)]: ((((in@(sK7_SY181@SV23))@sK1_A)=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[137])).
130.76/130.98	 thf(141,plain,(![SV23:($i>$o)]: (((~ (![SY184:$i]: (~ (~ ((~ (~ ((~ ((in@SY184)@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@SY184))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@SY184))))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[138])).
130.76/130.98	 thf(142,plain,(![SV23:($i>$o),SV75:$i]: (((~ (![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183))))))))=$false) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[139])).
130.76/130.98	 thf(143,plain,(![SV23:($i>$o)]: (((![SY184:$i]: (~ (~ ((~ (~ ((~ ((in@SY184)@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@SY184))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@SY184)))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[141])).
130.76/130.98	 thf(144,plain,(![SV23:($i>$o),SV75:$i]: (((![SY183:$i]: (~ (~ ((~ (~ ((~ ((in@SY183)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SY183))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SY183)))))))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[142])).
130.76/130.98	 thf(145,plain,(![SV23:($i>$o)]: (((~ (~ ((~ (~ ((~ ((in@(sK8_SY184@SV23))@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23)))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@(sK8_SY184@SV23)))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_forall_neg,[status(esa)],[143])).
130.76/130.98	 thf(146,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: (((~ (~ ((~ (~ ((~ ((in@SV76)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SV76))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SV76))))))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_forall_pos,[status(thm)],[144])).
130.76/130.98	 thf(147,plain,(![SV23:($i>$o)]: (((~ ((~ (~ ((~ ((in@(sK8_SY184@SV23))@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23)))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@(sK8_SY184@SV23))))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[145])).
130.76/130.98	 thf(148,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: (((~ ((~ (~ ((~ ((in@SV76)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SV76))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))))=$false) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[146])).
130.76/130.98	 thf(149,plain,(![SV23:($i>$o)]: ((((~ (~ ((~ ((in@(sK8_SY184@SV23))@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23)))))) | (~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@(sK8_SY184@SV23)))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[147])).
130.76/130.98	 thf(150,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: ((((~ (~ ((~ ((in@SV76)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SV76))))) | (~ ((sK6_E@SV23) = ((kpair@SV75)@SV76))))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[148])).
130.76/130.98	 thf(151,plain,(![SV23:($i>$o)]: (((~ (~ ((~ ((in@(sK8_SY184@SV23))@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23))))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_or_neg,[status(thm)],[149])).
130.76/130.98	 thf(152,plain,(![SV23:($i>$o)]: (((~ ((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@(sK8_SY184@SV23))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_or_neg,[status(thm)],[149])).
130.76/130.98	 thf(153,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: (((~ (~ ((~ ((in@SV76)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SV76)))))=$true) | ((~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_or_pos,[status(thm)],[150])).
130.76/130.98	 thf(154,plain,(![SV23:($i>$o)]: (((~ ((~ ((in@(sK8_SY184@SV23))@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23)))))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[151])).
130.76/130.98	 thf(155,plain,(![SV23:($i>$o)]: ((((sK6_E@SV23) = ((kpair@(sK7_SY181@SV23))@(sK8_SY184@SV23)))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[152])).
130.76/130.98	 thf(156,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: (((~ ((~ ((in@SV76)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SV76))))=$false) | ((~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[153])).
130.76/130.98	 thf(157,plain,(![SV23:($i>$o)]: ((((~ ((in@(sK8_SY184@SV23))@sK2_SY122)) | (~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23))))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_pos,[status(thm)],[154])).
130.76/130.98	 thf(158,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: ((((~ ((in@SV76)@sK2_SY122)) | (~ ((sK3_SY128@SV75)@SV76)))=$true) | ((~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_neg,[status(thm)],[156])).
130.76/130.98	 thf(159,plain,(![SV23:($i>$o)]: (((~ ((in@(sK8_SY184@SV23))@sK2_SY122))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_or_neg,[status(thm)],[157])).
130.76/130.98	 thf(160,plain,(![SV23:($i>$o)]: (((~ ((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23)))=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_or_neg,[status(thm)],[157])).
130.76/130.98	 thf(161,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: (((~ ((in@SV76)@sK2_SY122))=$true) | ((~ ((sK3_SY128@SV75)@SV76))=$true) | ((~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_or_pos,[status(thm)],[158])).
130.76/130.98	 thf(162,plain,(![SV23:($i>$o)]: ((((in@(sK8_SY184@SV23))@sK2_SY122)=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[159])).
130.76/130.98	 thf(163,plain,(![SV23:($i>$o)]: ((((sK3_SY128@(sK7_SY181@SV23))@(sK8_SY184@SV23))=$true) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$true))),inference(extcnf_not_neg,[status(thm)],[160])).
130.76/130.98	 thf(164,plain,(![SV23:($i>$o),SV75:$i,SV76:$i]: ((((in@SV76)@sK2_SY122)=$false) | ((~ ((sK3_SY128@SV75)@SV76))=$true) | ((~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[161])).
130.76/130.98	 thf(165,plain,(![SV23:($i>$o),SV76:$i,SV75:$i]: ((((sK3_SY128@SV75)@SV76)=$false) | (((in@SV76)@sK2_SY122)=$false) | ((~ ((sK6_E@SV23) = ((kpair@SV75)@SV76)))=$true) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[164])).
130.76/130.98	 thf(166,plain,(![SV76:$i,SV75:$i,SV23:($i>$o)]: ((((sK6_E@SV23) = ((kpair@SV75)@SV76))=$false) | (((in@SV76)@sK2_SY122)=$false) | (((sK3_SY128@SV75)@SV76)=$false) | (((in@SV75)@sK1_A)=$false) | ((SV23@((kpair@sK4_SY133)@sK5_SY137))=$true) | ((SV23@(sK6_E@SV23))=$false))),inference(extcnf_not_pos,[status(thm)],[165])).
130.76/130.98	 thf(173,plain,(![SV77:$i,SV78:$i,SV79:($i>$o)]: (((SV79@SV78)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0)))))=$false))),inference(rename,[status(thm)],[72])).
130.76/130.98	 thf(180,plain,(![SV77:$i,SV78:$i,SV79:($i>$o)]: (((((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0))))) = ((in@((kpair@sK4_SY133)@sK5_SY137))@((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2))))))))))))))))))=$false) | ((SV79@SV78)=$false))),inference(res,[status(thm)],[173,51])).
130.76/130.98	 thf(182,plain,(![SV77:$i,SV78:$i,SV79:($i>$o)]: (((((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0))))) = ((in@sK5_SY137)@sK2_SY122))=$false) | ((SV79@SV78)=$false))),inference(res,[status(thm)],[173,46])).
130.76/130.98	 thf(184,plain,(![SV77:$i,SV78:$i,SV79:($i>$o)]: (((((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0))))) = ((in@sK4_SY133)@sK1_A))=$false) | ((SV79@SV78)=$false))),inference(res,[status(thm)],[173,38])).
130.76/130.98	 thf(186,plain,(![SV77:$i,SV78:$i]: ((($true)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ ($true)))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV83:$i]: $true))]])).
130.76/130.98	 thf(187,plain,(![SV77:$i,SV78:$i]: ((((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ ($true)))))=$false))),inference(sim,[status(thm)],[186])).
130.76/130.98	 thf(189,plain,(![SV77:$i,SV78:$i,SV81:($i>$o)]: (((~ (SV81@SV78))=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (~ (SV81@SX0))))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV80:$i]: (~ (SV81@SV80))))]])).
130.76/130.98	 thf(190,plain,(![SV77:$i,SV78:$i]: (((SV78 = sK9_E)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK9_E)))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV84:$i]: (SV84 = sK9_E)))]])).
130.76/130.98	 thf(191,plain,(![SV77:$i,SV78:$i]: (((SV78 = sK5_SY137)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK5_SY137)))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV85:$i]: (SV85 = sK5_SY137)))]])).
130.76/130.98	 thf(192,plain,(![SV77:$i,SV78:$i]: (((SV78 = sK1_A)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK1_A)))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV86:$i]: (SV86 = sK1_A)))]])).
130.76/130.98	 thf(193,plain,(![SV77:$i,SV78:$i]: (((SV78 = sK4_SY133)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK4_SY133)))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV87:$i]: (SV87 = sK4_SY133)))]])).
130.76/130.98	 thf(194,plain,(![SV77:$i,SV78:$i]: (((SV78 = sK2_SY122)=$false) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK2_SY122)))))=$false))),inference(prim_subst,[status(thm)],[173:[bind(SV79, $thf(^[SV88:$i]: (SV88 = sK2_SY122)))]])).
130.76/130.98	 thf(196,plain,(![SV77:$i,SV79:($i>$o)]: (((SV79@sK4_SY133)=$false) | ((((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0)))) = sK1_A)=$false))),inference(extuni,[status(esa)],[184:[bind(SV78,$thf(sK4_SY133))]])).
130.76/130.98	 thf(197,plain,(![SV77:$i,SV79:($i>$o)]: (((SV79@sK5_SY137)=$false) | ((((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0)))) = sK2_SY122)=$false))),inference(extuni,[status(esa)],[182:[bind(SV78,$thf(sK5_SY137))]])).
130.76/130.98	 thf(198,plain,(![SV79:($i>$o)]: (((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((~ (SV79@(sK10_E@SV79)))=$true) | ((~ (![SY203:$i]: (~ (~ ((~ ((in@SY203)@sK1_A)) | (~ (~ (![SY204:$i]: (~ (~ ((~ (~ ((~ ((in@SY204)@sK2_SY122)) | (~ ((sK3_SY128@SY203)@SY204))))) | (~ ((sK10_E@SV79) = ((kpair@SY203)@SY204))))))))))))))=$true))),inference(extuni,[status(esa)],[180:[bind(SV77,$thf((cartprod@sK1_A)@sK2_SY122)),bind(SV78,$thf((kpair@sK4_SY133)@sK5_SY137))]])).
130.76/130.98	 thf(199,plain,(![SV79:($i>$o)]: (((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((~ (SV79@(sK10_E@SV79)))=$false) | ((~ (![SY203:$i]: (~ (~ ((~ ((in@SY203)@sK1_A)) | (~ (~ (![SY204:$i]: (~ (~ ((~ (~ ((~ ((in@SY204)@sK2_SY122)) | (~ ((sK3_SY128@SY203)@SY204))))) | (~ ((sK10_E@SV79) = ((kpair@SY203)@SY204))))))))))))))=$false))),inference(extuni,[status(esa)],[180:[bind(SV77,$thf((cartprod@sK1_A)@sK2_SY122)),bind(SV78,$thf((kpair@sK4_SY133)@sK5_SY137))]])).
130.76/130.98	 thf(200,plain,(![SV77:$i,SV79:($i>$o)]: (((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((((dsetconstr@SV77)@(^[SX0:$i]: (~ (SV79@SX0)))) = ((dsetconstr@((cartprod@sK1_A)@sK2_SY122))@(^[SX0:$i]: (~ (![SX1:$i]: (~ (~ ((~ ((in@SX1)@sK1_A)) | (~ (~ (![SX2:$i]: (~ (~ ((~ (~ ((~ ((in@SX2)@sK2_SY122)) | (~ ((sK3_SY128@SX1)@SX2))))) | (~ (SX0 = ((kpair@SX1)@SX2)))))))))))))))))=$false))),inference(extuni,[status(esa)],[180:[bind(SV78,$thf((kpair@sK4_SY133)@sK5_SY137))]])).
130.76/130.98	 thf(201,plain,(![SV77:$i]: ((((in@sK9_E)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK9_E)))))=$false))),inference(extuni,[status(esa)],[190:[bind(SV78,$thf(sK9_E))]])).
130.76/130.98	 thf(202,plain,(![SV77:$i]: ((((in@sK5_SY137)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK5_SY137)))))=$false))),inference(extuni,[status(esa)],[191:[bind(SV78,$thf(sK5_SY137))]])).
130.76/130.98	 thf(203,plain,(![SV77:$i]: ((((in@sK1_A)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK1_A)))))=$false))),inference(extuni,[status(esa)],[192:[bind(SV78,$thf(sK1_A))]])).
130.76/130.98	 thf(204,plain,(![SV77:$i]: ((((in@sK4_SY133)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK4_SY133)))))=$false))),inference(extuni,[status(esa)],[193:[bind(SV78,$thf(sK4_SY133))]])).
130.76/130.98	 thf(205,plain,(![SV77:$i]: ((((in@sK2_SY122)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (SX0 = sK2_SY122)))))=$false))),inference(extuni,[status(esa)],[194:[bind(SV78,$thf(sK2_SY122))]])).
130.76/130.98	 thf(206,plain,(![SV79:($i>$o)]: (((SV79@(sK10_E@SV79))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((~ (![SY203:$i]: (~ (~ ((~ ((in@SY203)@sK1_A)) | (~ (~ (![SY204:$i]: (~ (~ ((~ (~ ((~ ((in@SY204)@sK2_SY122)) | (~ ((sK3_SY128@SY203)@SY204))))) | (~ ((sK10_E@SV79) = ((kpair@SY203)@SY204))))))))))))))=$false))),inference(extcnf_not_neg,[status(thm)],[199])).
130.76/130.98	 thf(207,plain,(![SV79:($i>$o)]: (((SV79@(sK10_E@SV79))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((~ (![SY203:$i]: (~ (~ ((~ ((in@SY203)@sK1_A)) | (~ (~ (![SY204:$i]: (~ (~ ((~ (~ ((~ ((in@SY204)@sK2_SY122)) | (~ ((sK3_SY128@SY203)@SY204))))) | (~ ((sK10_E@SV79) = ((kpair@SY203)@SY204))))))))))))))=$true))),inference(extcnf_not_pos,[status(thm)],[198])).
130.76/130.98	 thf(208,plain,(![SV77:$i,SV78:$i,SV81:($i>$o)]: (((SV81@SV78)=$true) | (((in@SV78)@((dsetconstr@SV77)@(^[SX0:$i]: (~ (~ (SV81@SX0))))))=$false))),inference(extcnf_not_neg,[status(thm)],[189])).
130.76/130.98	 thf(209,plain,(![SV79:($i>$o)]: (((![SY203:$i]: (~ (~ ((~ ((in@SY203)@sK1_A)) | (~ (~ (![SY204:$i]: (~ (~ ((~ (~ ((~ ((in@SY204)@sK2_SY122)) | (~ ((sK3_SY128@SY203)@SY204))))) | (~ ((sK10_E@SV79) = ((kpair@SY203)@SY204)))))))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_neg,[status(thm)],[206])).
130.76/130.98	 thf(210,plain,(![SV79:($i>$o)]: (((![SY203:$i]: (~ (~ ((~ ((in@SY203)@sK1_A)) | (~ (~ (![SY204:$i]: (~ (~ ((~ (~ ((~ ((in@SY204)@sK2_SY122)) | (~ ((sK3_SY128@SY203)@SY204))))) | (~ ((sK10_E@SV79) = ((kpair@SY203)@SY204)))))))))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_pos,[status(thm)],[207])).
130.76/130.98	 thf(211,plain,(![SV79:($i>$o),SV142:$i]: (((~ (~ ((~ ((in@SV142)@sK1_A)) | (~ (~ (![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209))))))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_forall_pos,[status(thm)],[209])).
130.76/130.98	 thf(212,plain,(![SV79:($i>$o)]: (((~ (~ ((~ ((in@(sK11_SY203@SV79))@sK1_A)) | (~ (~ (![SY210:$i]: (~ (~ ((~ (~ ((~ ((in@SY210)@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@SY210))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@SY210))))))))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_forall_neg,[status(esa)],[210])).
130.76/130.98	 thf(213,plain,(![SV79:($i>$o),SV142:$i]: (((~ ((~ ((in@SV142)@sK1_A)) | (~ (~ (![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209)))))))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[211])).
130.76/130.98	 thf(214,plain,(![SV79:($i>$o)]: (((~ ((~ ((in@(sK11_SY203@SV79))@sK1_A)) | (~ (~ (![SY210:$i]: (~ (~ ((~ (~ ((~ ((in@SY210)@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@SY210))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@SY210)))))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[212])).
130.76/130.98	 thf(215,plain,(![SV79:($i>$o),SV142:$i]: ((((~ ((in@SV142)@sK1_A)) | (~ (~ (![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209))))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_neg,[status(thm)],[213])).
130.76/130.98	 thf(216,plain,(![SV79:($i>$o)]: ((((~ ((in@(sK11_SY203@SV79))@sK1_A)) | (~ (~ (![SY210:$i]: (~ (~ ((~ (~ ((~ ((in@SY210)@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@SY210))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@SY210))))))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_pos,[status(thm)],[214])).
130.76/130.98	 thf(217,plain,(![SV79:($i>$o),SV142:$i]: (((~ ((in@SV142)@sK1_A))=$true) | ((~ (~ (![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209)))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_or_pos,[status(thm)],[215])).
130.76/130.98	 thf(218,plain,(![SV79:($i>$o)]: (((~ ((in@(sK11_SY203@SV79))@sK1_A))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_or_neg,[status(thm)],[216])).
130.76/130.98	 thf(219,plain,(![SV79:($i>$o)]: (((~ (~ (![SY210:$i]: (~ (~ ((~ (~ ((~ ((in@SY210)@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@SY210))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@SY210)))))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_or_neg,[status(thm)],[216])).
130.76/130.98	 thf(220,plain,(![SV79:($i>$o),SV142:$i]: ((((in@SV142)@sK1_A)=$false) | ((~ (~ (![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209)))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[217])).
130.76/130.98	 thf(221,plain,(![SV79:($i>$o)]: ((((in@(sK11_SY203@SV79))@sK1_A)=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[218])).
130.76/130.98	 thf(222,plain,(![SV79:($i>$o)]: (((~ (![SY210:$i]: (~ (~ ((~ (~ ((~ ((in@SY210)@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@SY210))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@SY210))))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[219])).
130.76/130.98	 thf(223,plain,(![SV79:($i>$o),SV142:$i]: (((~ (![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209))))))))=$false) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[220])).
130.76/130.98	 thf(224,plain,(![SV79:($i>$o)]: (((![SY210:$i]: (~ (~ ((~ (~ ((~ ((in@SY210)@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@SY210))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@SY210)))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_pos,[status(thm)],[222])).
130.76/130.98	 thf(225,plain,(![SV79:($i>$o),SV142:$i]: (((![SY209:$i]: (~ (~ ((~ (~ ((~ ((in@SY209)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SY209))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SY209)))))))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_neg,[status(thm)],[223])).
130.76/130.98	 thf(226,plain,(![SV79:($i>$o)]: (((~ (~ ((~ (~ ((~ ((in@(sK12_SY210@SV79))@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79)))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@(sK12_SY210@SV79)))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_forall_neg,[status(esa)],[224])).
130.76/130.98	 thf(227,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: (((~ (~ ((~ (~ ((~ ((in@SV143)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SV143))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SV143))))))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_forall_pos,[status(thm)],[225])).
130.76/130.98	 thf(228,plain,(![SV79:($i>$o)]: (((~ ((~ (~ ((~ ((in@(sK12_SY210@SV79))@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79)))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@(sK12_SY210@SV79))))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[226])).
130.76/130.98	 thf(229,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: (((~ ((~ (~ ((~ ((in@SV143)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SV143))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))))=$false) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[227])).
130.76/130.98	 thf(230,plain,(![SV79:($i>$o)]: ((((~ (~ ((~ ((in@(sK12_SY210@SV79))@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79)))))) | (~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@(sK12_SY210@SV79)))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_pos,[status(thm)],[228])).
130.76/130.98	 thf(231,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: ((((~ (~ ((~ ((in@SV143)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SV143))))) | (~ ((sK10_E@SV79) = ((kpair@SV142)@SV143))))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_neg,[status(thm)],[229])).
130.76/130.98	 thf(232,plain,(![SV79:($i>$o)]: (((~ (~ ((~ ((in@(sK12_SY210@SV79))@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79))))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_or_neg,[status(thm)],[230])).
130.76/130.98	 thf(233,plain,(![SV79:($i>$o)]: (((~ ((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@(sK12_SY210@SV79))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_or_neg,[status(thm)],[230])).
130.76/130.98	 thf(234,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: (((~ (~ ((~ ((in@SV143)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SV143)))))=$true) | ((~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_or_pos,[status(thm)],[231])).
130.76/130.98	 thf(235,plain,(![SV79:($i>$o)]: (((~ ((~ ((in@(sK12_SY210@SV79))@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79)))))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[232])).
130.76/130.98	 thf(236,plain,(![SV79:($i>$o)]: ((((sK10_E@SV79) = ((kpair@(sK11_SY203@SV79))@(sK12_SY210@SV79)))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[233])).
130.76/130.98	 thf(237,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: (((~ ((~ ((in@SV143)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SV143))))=$false) | ((~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[234])).
130.76/130.98	 thf(238,plain,(![SV79:($i>$o)]: ((((~ ((in@(sK12_SY210@SV79))@sK2_SY122)) | (~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79))))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_pos,[status(thm)],[235])).
130.76/130.98	 thf(239,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: ((((~ ((in@SV143)@sK2_SY122)) | (~ ((sK3_SY128@SV142)@SV143)))=$true) | ((~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_neg,[status(thm)],[237])).
130.76/130.98	 thf(240,plain,(![SV79:($i>$o)]: (((~ ((in@(sK12_SY210@SV79))@sK2_SY122))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_or_neg,[status(thm)],[238])).
130.76/130.98	 thf(241,plain,(![SV79:($i>$o)]: (((~ ((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79)))=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_or_neg,[status(thm)],[238])).
130.76/130.98	 thf(242,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: (((~ ((in@SV143)@sK2_SY122))=$true) | ((~ ((sK3_SY128@SV142)@SV143))=$true) | ((~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_or_pos,[status(thm)],[239])).
130.76/130.98	 thf(243,plain,(![SV79:($i>$o)]: ((((in@(sK12_SY210@SV79))@sK2_SY122)=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[240])).
130.76/130.98	 thf(244,plain,(![SV79:($i>$o)]: ((((sK3_SY128@(sK11_SY203@SV79))@(sK12_SY210@SV79))=$true) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$false))),inference(extcnf_not_neg,[status(thm)],[241])).
130.76/130.98	 thf(245,plain,(![SV79:($i>$o),SV142:$i,SV143:$i]: ((((in@SV143)@sK2_SY122)=$false) | ((~ ((sK3_SY128@SV142)@SV143))=$true) | ((~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[242])).
130.76/130.98	 thf(246,plain,(![SV79:($i>$o),SV143:$i,SV142:$i]: ((((sK3_SY128@SV142)@SV143)=$false) | (((in@SV143)@sK2_SY122)=$false) | ((~ ((sK10_E@SV79) = ((kpair@SV142)@SV143)))=$true) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[245])).
130.76/130.98	 thf(247,plain,(![SV143:$i,SV142:$i,SV79:($i>$o)]: ((((sK10_E@SV79) = ((kpair@SV142)@SV143))=$false) | (((in@SV143)@sK2_SY122)=$false) | (((sK3_SY128@SV142)@SV143)=$false) | (((in@SV142)@sK1_A)=$false) | ((SV79@((kpair@sK4_SY133)@sK5_SY137))=$false) | ((SV79@(sK10_E@SV79))=$true))),inference(extcnf_not_pos,[status(thm)],[246])).
130.76/130.98	 thf(249,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[38,247,244,243,236,221,208,205,204,203,202,201,200,197,196,187,173,166,163,162,155,140,127,121,116,115,113,112,110,109,107,106,97,96,88,87,85,84,83,82,80,75,74,53,51,46])).
130.76/130.98	 thf(250,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[249])).
130.76/130.98	% SZS output end CNFRefutation
130.76/130.98	
130.76/130.98	%**** End of derivation protocol ****
130.76/130.98	%**** no. of clauses in derivation: 191 ****
130.76/130.98	%**** clause counter: 249 ****
130.76/130.98	
130.76/130.98	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:249,loop_count:10,foatp_calls:3,translation:fof_full)
130.76/130.98	EOF