0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s 0.10/0.32 % Computer : n013.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 02:40:00 EDT 2022 0.10/0.32 % CPUTime : 0.16/0.37 0.16/0.37 No.of.Axioms: 0 0.16/0.37 0.16/0.37 Length.of.Defs: 0 0.16/0.37 0.16/0.37 Contains.Choice.Funs: false 0.16/0.41 (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)......................... 0.46/0.98 0.46/0.98 ******************************** 0.46/0.98 * All subproblems solved! * 0.46/0.98 ******************************** 0.46/0.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:140,loop_count:0,foatp_calls:1,translation:fof_full) 0.46/1.00 0.46/1.00 %**** Beginning of derivation protocol **** 0.46/1.00 % SZS output start CNFRefutation 0.46/1.00 thf(tp_a,type,(a: $tType)). 0.46/1.00 thf(tp_sK1_JOIN,type,(sK1_JOIN: (a>(a>a)))). 0.46/1.00 thf(tp_sK2_SY35,type,(sK2_SY35: (a>(a>a)))). 0.46/1.00 thf(tp_sK3_SY69,type,(sK3_SY69: a)). 0.46/1.00 thf(tp_sK4_SY102,type,(sK4_SY102: a)). 0.46/1.00 thf(tp_sK5_SY134,type,(sK5_SY134: a)). 0.46/1.00 thf(tp_sK6_SY165,type,(sK6_SY165: a)). 0.46/1.00 thf(tp_sK7_SY167,type,(sK7_SY167: a)). 0.46/1.00 thf(tp_sK8_SY147,type,(sK8_SY147: (a>a))). 0.46/1.00 thf(1,conjecture,(![JOIN:(a>(a>a)),MEET:(a>(a>a)),TOP:a,BOTTOM:a]: ((![Xx:a,Xy:a,Xz:a]: (((((((JOIN@Xx)@Xy) = TOP) & (((MEET@Xx)@Xy) = BOTTOM)) & (((MEET@Xx)@Xz) = BOTTOM)) & (((JOIN@Xx)@Xz) = TOP)) => (Xy = Xz))) <= (((((((((((((((![Xx:a]: (((MEET@Xx)@Xx) = Xx)) & (![Xx:a,Xy:a,Xz:a]: (((MEET@((MEET@Xx)@Xy))@Xz) = ((MEET@Xx)@((MEET@Xy)@Xz))))) & (![Xx:a,Xy:a]: (((MEET@((JOIN@Xx)@Xy))@Xy) = Xy))) & (![Xx:a]: (((MEET@TOP)@Xx) = Xx))) & (![Xx:a]: (((MEET@BOTTOM)@Xx) = BOTTOM))) & (![Xx:a]: (((JOIN@BOTTOM)@Xx) = Xx))) & (![Xx:a]: (?[Xy:a]: ((((MEET@Xx)@Xy) = BOTTOM) & (((JOIN@Xx)@Xy) = TOP))))) & (![Xx:a]: (((JOIN@TOP)@Xx) = TOP))) & (![Xx:a,Xy:a,Xz:a]: (((JOIN@Xx)@((MEET@Xy)@Xz)) = ((MEET@((JOIN@Xx)@Xy))@((JOIN@Xx)@Xz))))) & (![Xx:a,Xy:a,Xz:a]: (((MEET@Xx)@((JOIN@Xy)@Xz)) = ((JOIN@((MEET@Xx)@Xy))@((MEET@Xx)@Xz))))) & (![Xx:a,Xy:a]: (((JOIN@((MEET@Xx)@Xy))@Xy) = Xy))) & (![Xx:a,Xy:a]: (((MEET@Xx)@Xy) = ((MEET@Xy)@Xx)))) & (![Xx:a,Xy:a]: (((JOIN@Xx)@Xy) = ((JOIN@Xy)@Xx)))) & (![Xx:a,Xy:a,Xz:a]: (((JOIN@((JOIN@Xx)@Xy))@Xz) = ((JOIN@Xx)@((JOIN@Xy)@Xz))))) & (![Xx:a]: (((JOIN@Xx)@Xx) = Xx))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCD_LATTICE_THM_pme)). 0.46/1.00 thf(2,negated_conjecture,(((![JOIN:(a>(a>a)),MEET:(a>(a>a)),TOP:a,BOTTOM:a]: ((![Xx:a,Xy:a,Xz:a]: (((((((JOIN@Xx)@Xy) = TOP) & (((MEET@Xx)@Xy) = BOTTOM)) & (((MEET@Xx)@Xz) = BOTTOM)) & (((JOIN@Xx)@Xz) = TOP)) => (Xy = Xz))) <= (((((((((((((((![Xx:a]: (((MEET@Xx)@Xx) = Xx)) & (![Xx:a,Xy:a,Xz:a]: (((MEET@((MEET@Xx)@Xy))@Xz) = ((MEET@Xx)@((MEET@Xy)@Xz))))) & (![Xx:a,Xy:a]: (((MEET@((JOIN@Xx)@Xy))@Xy) = Xy))) & (![Xx:a]: (((MEET@TOP)@Xx) = Xx))) & (![Xx:a]: (((MEET@BOTTOM)@Xx) = BOTTOM))) & (![Xx:a]: (((JOIN@BOTTOM)@Xx) = Xx))) & (![Xx:a]: (?[Xy:a]: ((((MEET@Xx)@Xy) = BOTTOM) & (((JOIN@Xx)@Xy) = TOP))))) & (![Xx:a]: (((JOIN@TOP)@Xx) = TOP))) & (![Xx:a,Xy:a,Xz:a]: (((JOIN@Xx)@((MEET@Xy)@Xz)) = ((MEET@((JOIN@Xx)@Xy))@((JOIN@Xx)@Xz))))) & (![Xx:a,Xy:a,Xz:a]: (((MEET@Xx)@((JOIN@Xy)@Xz)) = ((JOIN@((MEET@Xx)@Xy))@((MEET@Xx)@Xz))))) & (![Xx:a,Xy:a]: (((JOIN@((MEET@Xx)@Xy))@Xy) = Xy))) & (![Xx:a,Xy:a]: (((MEET@Xx)@Xy) = ((MEET@Xy)@Xx)))) & (![Xx:a,Xy:a]: (((JOIN@Xx)@Xy) = ((JOIN@Xy)@Xx)))) & (![Xx:a,Xy:a,Xz:a]: (((JOIN@((JOIN@Xx)@Xy))@Xz) = ((JOIN@Xx)@((JOIN@Xy)@Xz))))) & (![Xx:a]: (((JOIN@Xx)@Xx) = Xx)))))=$false)),inference(negate_conjecture,[status(cth)],[1])). 0.46/1.00 thf(3,plain,(((![JOIN:(a>(a>a)),MEET:(a>(a>a)),TOP:a,BOTTOM:a]: ((![Xx:a,Xy:a,Xz:a]: (((((((JOIN@Xx)@Xy) = TOP) & (((MEET@Xx)@Xy) = BOTTOM)) & (((MEET@Xx)@Xz) = BOTTOM)) & (((JOIN@Xx)@Xz) = TOP)) => (Xy = Xz))) <= (((((((((((((((![Xx:a]: (((MEET@Xx)@Xx) = Xx)) & (![Xx:a,Xy:a,Xz:a]: (((MEET@((MEET@Xx)@Xy))@Xz) = ((MEET@Xx)@((MEET@Xy)@Xz))))) & (![Xx:a,Xy:a]: (((MEET@((JOIN@Xx)@Xy))@Xy) = Xy))) & (![Xx:a]: (((MEET@TOP)@Xx) = Xx))) & (![Xx:a]: (((MEET@BOTTOM)@Xx) = BOTTOM))) & (![Xx:a]: (((JOIN@BOTTOM)@Xx) = Xx))) & (![Xx:a]: (?[Xy:a]: ((((MEET@Xx)@Xy) = BOTTOM) & (((JOIN@Xx)@Xy) = TOP))))) & (![Xx:a]: (((JOIN@TOP)@Xx) = TOP))) & (![Xx:a,Xy:a,Xz:a]: (((JOIN@Xx)@((MEET@Xy)@Xz)) = ((MEET@((JOIN@Xx)@Xy))@((JOIN@Xx)@Xz))))) & (![Xx:a,Xy:a,Xz:a]: (((MEET@Xx)@((JOIN@Xy)@Xz)) = ((JOIN@((MEET@Xx)@Xy))@((MEET@Xx)@Xz))))) & (![Xx:a,Xy:a]: (((JOIN@((MEET@Xx)@Xy))@Xy) = Xy))) & (![Xx:a,Xy:a]: (((MEET@Xx)@Xy) = ((MEET@Xy)@Xx)))) & (![Xx:a,Xy:a]: (((JOIN@Xx)@Xy) = ((JOIN@Xy)@Xx)))) & (![Xx:a,Xy:a,Xz:a]: (((JOIN@((JOIN@Xx)@Xy))@Xz) = ((JOIN@Xx)@((JOIN@Xy)@Xz))))) & (![Xx:a]: (((JOIN@Xx)@Xx) = Xx)))))=$false)),inference(unfold_def,[status(thm)],[2])). 0.46/1.00 thf(4,plain,(((![SY35:(a>(a>a)),SY36:a,SY37:a]: ((![SY38:a,SY39:a,SY40:a]: (((((((sK1_JOIN@SY38)@SY39) = SY36) & (((SY35@SY38)@SY39) = SY37)) & (((SY35@SY38)@SY40) = SY37)) & (((sK1_JOIN@SY38)@SY40) = SY36)) => (SY39 = SY40))) <= (((((((((((((((![Xx:a]: (((SY35@Xx)@Xx) = Xx)) & (![Xx:a,Xy:a,Xz:a]: (((SY35@((SY35@Xx)@Xy))@Xz) = ((SY35@Xx)@((SY35@Xy)@Xz))))) & (![SY45:a,SY46:a]: (((SY35@((sK1_JOIN@SY45)@SY46))@SY46) = SY46))) & (![Xx:a]: (((SY35@SY36)@Xx) = Xx))) & (![Xx:a]: (((SY35@SY37)@Xx) = SY37))) & (![SY49:a]: (((sK1_JOIN@SY37)@SY49) = SY49))) & (![SY50:a]: (?[SY51:a]: ((((SY35@SY50)@SY51) = SY37) & (((sK1_JOIN@SY50)@SY51) = SY36))))) & (![SY52:a]: (((sK1_JOIN@SY36)@SY52) = SY36))) & (![SY53:a,SY54:a,SY55:a]: (((sK1_JOIN@SY53)@((SY35@SY54)@SY55)) = ((SY35@((sK1_JOIN@SY53)@SY54))@((sK1_JOIN@SY53)@SY55))))) & (![SY56:a,SY57:a,SY58:a]: (((SY35@SY56)@((sK1_JOIN@SY57)@SY58)) = ((sK1_JOIN@((SY35@SY56)@SY57))@((SY35@SY56)@SY58))))) & (![SY59:a,SY60:a]: (((sK1_JOIN@((SY35@SY59)@SY60))@SY60) = SY60))) & (![Xx:a,Xy:a]: (((SY35@Xx)@Xy) = ((SY35@Xy)@Xx)))) & (![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63)))) & (![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67))))) & (![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[3])). 0.46/1.00 thf(5,plain,(((![SY69:a,SY70:a]: ((![SY71:a,SY72:a,SY73:a]: (((((((sK1_JOIN@SY71)@SY72) = SY69) & (((sK2_SY35@SY71)@SY72) = SY70)) & (((sK2_SY35@SY71)@SY73) = SY70)) & (((sK1_JOIN@SY71)@SY73) = SY69)) => (SY72 = SY73))) <= (((((((((((((((![SY74:a]: (((sK2_SY35@SY74)@SY74) = SY74)) & (![SY75:a,SY76:a,SY77:a]: (((sK2_SY35@((sK2_SY35@SY75)@SY76))@SY77) = ((sK2_SY35@SY75)@((sK2_SY35@SY76)@SY77))))) & (![SY78:a,SY79:a]: (((sK2_SY35@((sK1_JOIN@SY78)@SY79))@SY79) = SY79))) & (![SY80:a]: (((sK2_SY35@SY69)@SY80) = SY80))) & (![SY81:a]: (((sK2_SY35@SY70)@SY81) = SY70))) & (![SY49:a]: (((sK1_JOIN@SY70)@SY49) = SY49))) & (![SY83:a]: (?[SY84:a]: ((((sK2_SY35@SY83)@SY84) = SY70) & (((sK1_JOIN@SY83)@SY84) = SY69))))) & (![SY52:a]: (((sK1_JOIN@SY69)@SY52) = SY69))) & (![SY86:a,SY87:a,SY88:a]: (((sK1_JOIN@SY86)@((sK2_SY35@SY87)@SY88)) = ((sK2_SY35@((sK1_JOIN@SY86)@SY87))@((sK1_JOIN@SY86)@SY88))))) & (![SY89:a,SY90:a,SY91:a]: (((sK2_SY35@SY89)@((sK1_JOIN@SY90)@SY91)) = ((sK1_JOIN@((sK2_SY35@SY89)@SY90))@((sK2_SY35@SY89)@SY91))))) & (![SY92:a,SY93:a]: (((sK1_JOIN@((sK2_SY35@SY92)@SY93))@SY93) = SY93))) & (![SY94:a,SY95:a]: (((sK2_SY35@SY94)@SY95) = ((sK2_SY35@SY95)@SY94)))) & (![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63)))) & (![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67))))) & (![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[4])). 0.46/1.00 thf(6,plain,(((![SY102:a]: ((![SY103:a,SY104:a,SY105:a]: (((((((sK1_JOIN@SY103)@SY104) = sK3_SY69) & (((sK2_SY35@SY103)@SY104) = SY102)) & (((sK2_SY35@SY103)@SY105) = SY102)) & (((sK1_JOIN@SY103)@SY105) = sK3_SY69)) => (SY104 = SY105))) <= (((((((((((((((![SY74:a]: (((sK2_SY35@SY74)@SY74) = SY74)) & (![SY75:a,SY76:a,SY77:a]: (((sK2_SY35@((sK2_SY35@SY75)@SY76))@SY77) = ((sK2_SY35@SY75)@((sK2_SY35@SY76)@SY77))))) & (![SY78:a,SY79:a]: (((sK2_SY35@((sK1_JOIN@SY78)@SY79))@SY79) = SY79))) & (![SY112:a]: (((sK2_SY35@sK3_SY69)@SY112) = SY112))) & (![SY81:a]: (((sK2_SY35@SY102)@SY81) = SY102))) & (![SY49:a]: (((sK1_JOIN@SY102)@SY49) = SY49))) & (![SY115:a]: (?[SY116:a]: ((((sK2_SY35@SY115)@SY116) = SY102) & (((sK1_JOIN@SY115)@SY116) = sK3_SY69))))) & (![SY117:a]: (((sK1_JOIN@sK3_SY69)@SY117) = sK3_SY69))) & (![SY86:a,SY87:a,SY88:a]: (((sK1_JOIN@SY86)@((sK2_SY35@SY87)@SY88)) = ((sK2_SY35@((sK1_JOIN@SY86)@SY87))@((sK1_JOIN@SY86)@SY88))))) & (![SY89:a,SY90:a,SY91:a]: (((sK2_SY35@SY89)@((sK1_JOIN@SY90)@SY91)) = ((sK1_JOIN@((sK2_SY35@SY89)@SY90))@((sK2_SY35@SY89)@SY91))))) & (![SY92:a,SY93:a]: (((sK1_JOIN@((sK2_SY35@SY92)@SY93))@SY93) = SY93))) & (![SY94:a,SY95:a]: (((sK2_SY35@SY94)@SY95) = ((sK2_SY35@SY95)@SY94)))) & (![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63)))) & (![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67))))) & (![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68)))))=$false)),inference(extcnf_forall_neg,[status(esa)],[5])). 0.46/1.00 thf(7,plain,((((![SY134:a,SY135:a,SY136:a]: (((((((sK1_JOIN@SY134)@SY135) = sK3_SY69) & (((sK2_SY35@SY134)@SY135) = sK4_SY102)) & (((sK2_SY35@SY134)@SY136) = sK4_SY102)) & (((sK1_JOIN@SY134)@SY136) = sK3_SY69)) => (SY135 = SY136))) <= (((((((((((((((![SY74:a]: (((sK2_SY35@SY74)@SY74) = SY74)) & (![SY75:a,SY76:a,SY77:a]: (((sK2_SY35@((sK2_SY35@SY75)@SY76))@SY77) = ((sK2_SY35@SY75)@((sK2_SY35@SY76)@SY77))))) & (![SY78:a,SY79:a]: (((sK2_SY35@((sK1_JOIN@SY78)@SY79))@SY79) = SY79))) & (![SY112:a]: (((sK2_SY35@sK3_SY69)@SY112) = SY112))) & (![SY144:a]: (((sK2_SY35@sK4_SY102)@SY144) = sK4_SY102))) & (![SY145:a]: (((sK1_JOIN@sK4_SY102)@SY145) = SY145))) & (![SY146:a]: (?[SY147:a]: ((((sK2_SY35@SY146)@SY147) = sK4_SY102) & (((sK1_JOIN@SY146)@SY147) = sK3_SY69))))) & (![SY117:a]: (((sK1_JOIN@sK3_SY69)@SY117) = sK3_SY69))) & (![SY86:a,SY87:a,SY88:a]: (((sK1_JOIN@SY86)@((sK2_SY35@SY87)@SY88)) = ((sK2_SY35@((sK1_JOIN@SY86)@SY87))@((sK1_JOIN@SY86)@SY88))))) & (![SY89:a,SY90:a,SY91:a]: (((sK2_SY35@SY89)@((sK1_JOIN@SY90)@SY91)) = ((sK1_JOIN@((sK2_SY35@SY89)@SY90))@((sK2_SY35@SY89)@SY91))))) & (![SY92:a,SY93:a]: (((sK1_JOIN@((sK2_SY35@SY92)@SY93))@SY93) = SY93))) & (![SY94:a,SY95:a]: (((sK2_SY35@SY94)@SY95) = ((sK2_SY35@SY95)@SY94)))) & (![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63)))) & (![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67))))) & (![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68))))=$false)),inference(extcnf_forall_neg,[status(esa)],[6])). 0.46/1.00 thf(8,plain,(((~ ((![SY134:a,SY135:a,SY136:a]: (((((((sK1_JOIN@SY134)@SY135) = sK3_SY69) & (((sK2_SY35@SY134)@SY135) = sK4_SY102)) & (((sK2_SY35@SY134)@SY136) = sK4_SY102)) & (((sK1_JOIN@SY134)@SY136) = sK3_SY69)) => (SY135 = SY136))) <= (((((((((((((((![SY74:a]: (((sK2_SY35@SY74)@SY74) = SY74)) & (![SY75:a,SY76:a,SY77:a]: (((sK2_SY35@((sK2_SY35@SY75)@SY76))@SY77) = ((sK2_SY35@SY75)@((sK2_SY35@SY76)@SY77))))) & (![SY78:a,SY79:a]: (((sK2_SY35@((sK1_JOIN@SY78)@SY79))@SY79) = SY79))) & (![SY112:a]: (((sK2_SY35@sK3_SY69)@SY112) = SY112))) & (![SY144:a]: (((sK2_SY35@sK4_SY102)@SY144) = sK4_SY102))) & (![SY145:a]: (((sK1_JOIN@sK4_SY102)@SY145) = SY145))) & (![SY146:a]: (?[SY147:a]: ((((sK2_SY35@SY146)@SY147) = sK4_SY102) & (((sK1_JOIN@SY146)@SY147) = sK3_SY69))))) & (![SY117:a]: (((sK1_JOIN@sK3_SY69)@SY117) = sK3_SY69))) & (![SY86:a,SY87:a,SY88:a]: (((sK1_JOIN@SY86)@((sK2_SY35@SY87)@SY88)) = ((sK2_SY35@((sK1_JOIN@SY86)@SY87))@((sK1_JOIN@SY86)@SY88))))) & (![SY89:a,SY90:a,SY91:a]: (((sK2_SY35@SY89)@((sK1_JOIN@SY90)@SY91)) = ((sK1_JOIN@((sK2_SY35@SY89)@SY90))@((sK2_SY35@SY89)@SY91))))) & (![SY92:a,SY93:a]: (((sK1_JOIN@((sK2_SY35@SY92)@SY93))@SY93) = SY93))) & (![SY94:a,SY95:a]: (((sK2_SY35@SY94)@SY95) = ((sK2_SY35@SY95)@SY94)))) & (![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63)))) & (![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67))))) & (![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68)))))=$true)),inference(polarity_switch,[status(thm)],[7])). 0.46/1.00 thf(9,plain,(((((![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68)) & ((![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67)))) & ((![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63))) & ((![SY94:a,SY95:a]: (((sK2_SY35@SY94)@SY95) = ((sK2_SY35@SY95)@SY94))) & ((![SY92:a,SY93:a]: (((sK1_JOIN@((sK2_SY35@SY92)@SY93))@SY93) = SY93)) & ((![SY89:a,SY90:a,SY91:a]: (((sK2_SY35@SY89)@((sK1_JOIN@SY90)@SY91)) = ((sK1_JOIN@((sK2_SY35@SY89)@SY90))@((sK2_SY35@SY89)@SY91)))) & ((![SY86:a,SY87:a,SY88:a]: (((sK1_JOIN@SY86)@((sK2_SY35@SY87)@SY88)) = ((sK2_SY35@((sK1_JOIN@SY86)@SY87))@((sK1_JOIN@SY86)@SY88)))) & ((![SY117:a]: (((sK1_JOIN@sK3_SY69)@SY117) = sK3_SY69)) & ((![SY146:a]: ((((sK2_SY35@SY146)@(sK8_SY147@SY146)) = sK4_SY102) & (((sK1_JOIN@SY146)@(sK8_SY147@SY146)) = sK3_SY69))) & ((![SY145:a]: (((sK1_JOIN@sK4_SY102)@SY145) = SY145)) & ((![SY144:a]: (((sK2_SY35@sK4_SY102)@SY144) = sK4_SY102)) & ((![SY112:a]: (((sK2_SY35@sK3_SY69)@SY112) = SY112)) & ((![SY78:a,SY79:a]: (((sK2_SY35@((sK1_JOIN@SY78)@SY79))@SY79) = SY79)) & ((![SY74:a]: (((sK2_SY35@SY74)@SY74) = SY74)) & (![SY75:a,SY76:a,SY77:a]: (((sK2_SY35@((sK2_SY35@SY75)@SY76))@SY77) = ((sK2_SY35@SY75)@((sK2_SY35@SY76)@SY77)))))))))))))))))) & (((((((sK1_JOIN@sK5_SY134)@sK6_SY165) = sK3_SY69) & (((sK2_SY35@sK5_SY134)@sK6_SY165) = sK4_SY102)) & (((sK2_SY35@sK5_SY134)@sK7_SY167) = sK4_SY102)) & (((sK1_JOIN@sK5_SY134)@sK7_SY167) = sK3_SY69)) & (~ (sK6_SY165 = sK7_SY167))))=$true)),inference(extcnf_combined,[status(esa)],[8])). 0.46/1.00 thf(10,plain,(((((![SY68:a]: (((sK1_JOIN@SY68)@SY68) = SY68)) & ((![SY65:a,SY66:a,SY67:a]: (((sK1_JOIN@((sK1_JOIN@SY65)@SY66))@SY67) = ((sK1_JOIN@SY65)@((sK1_JOIN@SY66)@SY67)))) & ((![SY63:a,SY64:a]: (((sK1_JOIN@SY63)@SY64) = ((sK1_JOIN@SY64)@SY63))) & ((![SY94:a,SY95:a]: (((sK2_SY35@SY94)@SY95) = ((sK2_SY35@SY95)@SY94))) & ((![SY92:a,SY93:a]: (((sK1_JOIN@((sK2_SY35@SY92)@SY93))@SY93) = SY93)) & ((![SY89:a,SY90:a,SY91:a]: (((sK2_SY35@SY89)@((sK1_JOIN@SY90)@SY91)) = ((sK1_JOIN@((sK2_SY35@SY89)@SY90))@((sK2_SY35@SY89)@SY91)))) & ((![SY86:a,SY87:a,SY88:a]: (((sK1_JOIN@SY86)@((sK2_SY35@SY87)@SY88)) = ((sK2_SY35@((sK1_JOIN@SY86)@SY87))@((sK1_JOIN@SY86)@SY88)))) & ((![SY117:a]: (((sK1_JOIN@sK3_SY69)@SY117) = sK3_SY69)) & ((![SY146:a]: ((((sK2_SY35@SY146)@(sK8_SY147@SY146)) = sK4_SY102) & (((sK1_JOIN@SY146)@(sK8_SY147@SY146)) = sK3_SY69))) & ((![SY145:a]: (((sK1_JOIN@sK4_SY102)@SY145) = SY145)) & ((![SY144:a]: (((sK2_SY35@sK4_SY102)@SY144) = sK4_SY102)) & ((![SY112:a]: (((sK2_SY35@sK3_SY69)@SY112) = SY112)) & ((![SY78:a,SY79:a]: (((sK2_SY35@((sK1_JOIN@SY78)@SY79))@SY79) = SY79)) & ((![SY74:a]: (((sK2_SY35@SY74)@SY74) = SY74)) & (![SY75:a,SY76:a,SY77:a]: (((sK2_SY35@((sK2_SY35@SY75)@SY76))@SY77) = ((sK2_SY35@SY75)@((sK2_SY35@SY76)@SY77)))))))))))))))))) & (((((((sK1_JOIN@sK5_SY134)@sK6_SY165) = sK3_SY69) & (((sK2_SY35@sK5_SY134)@sK6_SY165) = sK4_SY102)) & (((sK2_SY35@sK5_SY134)@sK7_SY167) = sK4_SY102)) & (((sK1_JOIN@sK5_SY134)@sK7_SY167) = sK3_SY69)) & (~ (sK6_SY165 = sK7_SY167))))=$true)),inference(copy,[status(thm)],[9])). 0.46/1.00 thf(11,plain,(((~ ((~ (~ ((~ (![SX0:a]: (((sK1_JOIN@SX0)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@((sK1_JOIN@SX0)@SX1))@SX2) = ((sK1_JOIN@SX0)@((sK1_JOIN@SX1)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@SX0)@SX1) = ((sK1_JOIN@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@SX0)@SX1) = ((sK2_SY35@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@((sK2_SY35@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@SX0)@((sK1_JOIN@SX1)@SX2)) = ((sK1_JOIN@((sK2_SY35@SX0)@SX1))@((sK2_SY35@SX0)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@SX0)@((sK2_SY35@SX1)@SX2)) = ((sK2_SY35@((sK1_JOIN@SX0)@SX1))@((sK1_JOIN@SX0)@SX2))))) | (~ (~ ((~ (![SX0:a]: (((sK1_JOIN@sK3_SY69)@SX0) = sK3_SY69))) | (~ (~ ((~ (![SX0:a]: (~ ((~ (((sK2_SY35@SX0)@(sK8_SY147@SX0)) = sK4_SY102)) | (~ (((sK1_JOIN@SX0)@(sK8_SY147@SX0)) = sK3_SY69)))))) | (~ (~ ((~ (![SX0:a]: (((sK1_JOIN@sK4_SY102)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK4_SY102)@SX0) = sK4_SY102))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))))))))))))))))))))))))))))))))))))))))))) | (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (((sK1_JOIN@sK5_SY134)@sK6_SY165) = sK3_SY69)) | (~ (((sK2_SY35@sK5_SY134)@sK6_SY165) = sK4_SY102))))) | (~ (((sK2_SY35@sK5_SY134)@sK7_SY167) = sK4_SY102))))) | (~ (((sK1_JOIN@sK5_SY134)@sK7_SY167) = sK3_SY69))))) | (~ (~ (sK6_SY165 = sK7_SY167))))))))=$true)),inference(unfold_def,[status(thm)],[10])). 0.46/1.00 thf(12,plain,((((~ (~ ((~ (![SX0:a]: (((sK1_JOIN@SX0)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@((sK1_JOIN@SX0)@SX1))@SX2) = ((sK1_JOIN@SX0)@((sK1_JOIN@SX1)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@SX0)@SX1) = ((sK1_JOIN@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@SX0)@SX1) = ((sK2_SY35@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@((sK2_SY35@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@SX0)@((sK1_JOIN@SX1)@SX2)) = ((sK1_JOIN@((sK2_SY35@SX0)@SX1))@((sK2_SY35@SX0)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@SX0)@((sK2_SY35@SX1)@SX2)) = ((sK2_SY35@((sK1_JOIN@SX0)@SX1))@((sK1_JOIN@SX0)@SX2))))) | (~ (~ ((~ (![SX0:a]: (((sK1_JOIN@sK3_SY69)@SX0) = sK3_SY69))) | (~ (~ ((~ (![SX0:a]: (~ ((~ (((sK2_SY35@SX0)@(sK8_SY147@SX0)) = sK4_SY102)) | (~ (((sK1_JOIN@SX0)@(sK8_SY147@SX0)) = sK3_SY69)))))) | (~ (~ ((~ (![SX0:a]: (((sK1_JOIN@sK4_SY102)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK4_SY102)@SX0) = sK4_SY102))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))))))))))))))))))))))))))))))))))))))))))) | (~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (((sK1_JOIN@sK5_SY134)@sK6_SY165) = sK3_SY69)) | (~ (((sK2_SY35@sK5_SY134)@sK6_SY165) = sK4_SY102))))) | (~ (((sK2_SY35@sK5_SY134)@sK7_SY167) = sK4_SY102))))) | (~ (((sK1_JOIN@sK5_SY134)@sK7_SY167) = sK3_SY69))))) | (~ (~ (sK6_SY165 = sK7_SY167)))))))=$false)),inference(extcnf_not_pos,[status(thm)],[11])). 0.46/1.00 thf(13,plain,(((~ (~ ((~ (![SX0:a]: (((sK1_JOIN@SX0)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@((sK1_JOIN@SX0)@SX1))@SX2) = ((sK1_JOIN@SX0)@((sK1_JOIN@SX1)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@SX0)@SX1) = ((sK1_JOIN@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@SX0)@SX1) = ((sK2_SY35@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@((sK2_SY35@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@SX0)@((sK1_JOIN@SX1)@SX2)) = ((sK1_JOIN@((sK2_SY35@SX0)@SX1))@((sK2_SY35@SX0)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@SX0)@((sK2_SY35@SX1)@SX2)) = ((sK2_SY35@((sK1_JOIN@SX0)@SX1))@((sK1_JOIN@SX0)@SX2))))) | (~ (~ ((~ (![SX0:a]: (((sK1_JOIN@sK3_SY69)@SX0) = sK3_SY69))) | (~ (~ ((~ (![SX0:a]: (~ ((~ (((sK2_SY35@SX0)@(sK8_SY147@SX0)) = sK4_SY102)) | (~ (((sK1_JOIN@SX0)@(sK8_SY147@SX0)) = sK3_SY69)))))) | (~ (~ ((~ (![SX0:a]: (((sK1_JOIN@sK4_SY102)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK4_SY102)@SX0) = sK4_SY102))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))))))))))))))))))))))))))))))))))))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[12])). 0.46/1.00 thf(14,plain,(((~ (~ ((~ (~ ((~ (~ ((~ (~ ((~ (((sK1_JOIN@sK5_SY134)@sK6_SY165) = sK3_SY69)) | (~ (((sK2_SY35@sK5_SY134)@sK6_SY165) = sK4_SY102))))) | (~ (((sK2_SY35@sK5_SY134)@sK7_SY167) = sK4_SY102))))) | (~ (((sK1_JOIN@sK5_SY134)@sK7_SY167) = sK3_SY69))))) | (~ (~ (sK6_SY165 = sK7_SY167))))))=$false)),inference(extcnf_or_neg,[status(thm)],[12])). 0.46/1.00 thf(15,plain,(((~ ((~ (![SX0:a]: (((sK1_JOIN@SX0)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK1_JOIN@((sK1_JOIN@SX0)@SX1))@SX2) = ((sK1_JOIN@SX0)@((sK1_JOIN@SX1)@SX2))))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@SX0)@SX1) = ((sK1_JOIN@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@SX0)@SX1) = ((sK2_SY35@SX1)@SX0)))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK1_JOIN@((sK2_SY35@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@SX0)@((sK1_JOIN@SX1)@SX2)) = 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thf(109,plain,(![SV18:a]: (((((sK2_SY35@SV18)@(sK8_SY147@SV18)) = sK4_SY102)=$true))),inference(extcnf_not_neg,[status(thm)],[105])). 0.46/1.00 thf(110,plain,(![SV18:a]: (((((sK1_JOIN@SV18)@(sK8_SY147@SV18)) = sK3_SY69)=$true))),inference(extcnf_not_neg,[status(thm)],[106])). 0.46/1.00 thf(111,plain,(![SV19:a]: (((((sK1_JOIN@sK4_SY102)@SV19) = SV19)=$true))),inference(extcnf_forall_pos,[status(thm)],[107])). 0.46/1.00 thf(112,plain,((((~ (![SX0:a]: (((sK2_SY35@sK4_SY102)@SX0) = sK4_SY102))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[108])). 0.46/1.00 thf(113,plain,(((~ (![SX0:a]: (((sK2_SY35@sK4_SY102)@SX0) = sK4_SY102)))=$false)),inference(extcnf_or_neg,[status(thm)],[112])). 0.46/1.00 thf(114,plain,(((~ (~ ((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[112])). 0.46/1.00 thf(115,plain,(((![SX0:a]: (((sK2_SY35@sK4_SY102)@SX0) = sK4_SY102))=$true)),inference(extcnf_not_neg,[status(thm)],[113])). 0.46/1.00 thf(116,plain,(((~ ((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[114])). 0.46/1.00 thf(117,plain,(![SV20:a]: (((((sK2_SY35@sK4_SY102)@SV20) = sK4_SY102)=$true))),inference(extcnf_forall_pos,[status(thm)],[115])). 0.46/1.00 thf(118,plain,((((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))) | (~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[116])). 0.46/1.00 thf(119,plain,(((~ (![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0)))=$false)),inference(extcnf_or_neg,[status(thm)],[118])). 0.46/1.00 thf(120,plain,(((~ (~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[118])). 0.46/1.00 thf(121,plain,(((![SX0:a]: (((sK2_SY35@sK3_SY69)@SX0) = SX0))=$true)),inference(extcnf_not_neg,[status(thm)],[119])). 0.46/1.00 thf(122,plain,(((~ ((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))))))=$true)),inference(extcnf_not_neg,[status(thm)],[120])). 0.46/1.00 thf(123,plain,(![SV21:a]: (((((sK2_SY35@sK3_SY69)@SV21) = SV21)=$true))),inference(extcnf_forall_pos,[status(thm)],[121])). 0.46/1.00 thf(124,plain,((((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))) | (~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))))))=$false)),inference(extcnf_not_pos,[status(thm)],[122])). 0.46/1.00 thf(125,plain,(((~ (![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1)))=$false)),inference(extcnf_or_neg,[status(thm)],[124])). 0.46/1.00 thf(126,plain,(((~ (~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))))=$false)),inference(extcnf_or_neg,[status(thm)],[124])). 0.46/1.00 thf(127,plain,(((![SX0:a,SX1:a]: (((sK2_SY35@((sK1_JOIN@SX0)@SX1))@SX1) = SX1))=$true)),inference(extcnf_not_neg,[status(thm)],[125])). 0.46/1.00 thf(128,plain,(((~ ((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))))=$true)),inference(extcnf_not_neg,[status(thm)],[126])). 0.46/1.00 thf(129,plain,(![SV22:a]: (((![SY180:a]: (((sK2_SY35@((sK1_JOIN@SV22)@SY180))@SY180) = SY180))=$true))),inference(extcnf_forall_pos,[status(thm)],[127])). 0.46/1.00 thf(130,plain,((((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))) | (~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))))=$false)),inference(extcnf_not_pos,[status(thm)],[128])). 0.46/1.00 thf(131,plain,(![SV23:a,SV22:a]: (((((sK2_SY35@((sK1_JOIN@SV22)@SV23))@SV23) = SV23)=$true))),inference(extcnf_forall_pos,[status(thm)],[129])). 0.46/1.00 thf(132,plain,(((~ (![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0)))=$false)),inference(extcnf_or_neg,[status(thm)],[130])). 0.46/1.00 thf(133,plain,(((~ (![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2)))))=$false)),inference(extcnf_or_neg,[status(thm)],[130])). 0.46/1.00 thf(134,plain,(((![SX0:a]: (((sK2_SY35@SX0)@SX0) = SX0))=$true)),inference(extcnf_not_neg,[status(thm)],[132])). 0.46/1.00 thf(135,plain,(((![SX0:a,SX1:a,SX2:a]: (((sK2_SY35@((sK2_SY35@SX0)@SX1))@SX2) = ((sK2_SY35@SX0)@((sK2_SY35@SX1)@SX2))))=$true)),inference(extcnf_not_neg,[status(thm)],[133])). 0.46/1.00 thf(136,plain,(![SV24:a]: (((((sK2_SY35@SV24)@SV24) = SV24)=$true))),inference(extcnf_forall_pos,[status(thm)],[134])). 0.46/1.00 thf(137,plain,(![SV25:a]: (((![SY181:a,SY182:a]: (((sK2_SY35@((sK2_SY35@SV25)@SY181))@SY182) = ((sK2_SY35@SV25)@((sK2_SY35@SY181)@SY182))))=$true))),inference(extcnf_forall_pos,[status(thm)],[135])). 0.46/1.00 thf(138,plain,(![SV26:a,SV25:a]: (((![SY183:a]: (((sK2_SY35@((sK2_SY35@SV25)@SV26))@SY183) = ((sK2_SY35@SV25)@((sK2_SY35@SV26)@SY183))))=$true))),inference(extcnf_forall_pos,[status(thm)],[137])). 0.46/1.00 thf(139,plain,(![SV27:a,SV26:a,SV25:a]: (((((sK2_SY35@((sK2_SY35@SV25)@SV26))@SV27) = ((sK2_SY35@SV25)@((sK2_SY35@SV26)@SV27)))=$true))),inference(extcnf_forall_pos,[status(thm)],[138])). 0.46/1.00 thf(140,plain,((($false)=$true)),inference(fo_atp_e,[status(thm)],[27,139,136,131,123,117,111,110,109,94,91,83,73,66,63,62,55,51,47,38,30])). 0.46/1.00 thf(141,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[140])). 0.46/1.00 % SZS output end CNFRefutation 0.46/1.00 0.46/1.00 %**** End of derivation protocol **** 0.46/1.00 %**** no. of clauses in derivation: 141 **** 0.46/1.00 %**** clause counter: 140 **** 0.46/1.00 0.46/1.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:140,loop_count:0,foatp_calls:1,translation:fof_full) 0.46/1.00 EOF