%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:39 EDT 2022
% Result : Theorem 42.62s 42.79s
% Output : Refutation 42.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:31:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 42.62/42.79 GeoParameters:
% 42.62/42.79
% 42.62/42.79 tptp_input = 1
% 42.62/42.79 tptp_output = 0
% 42.62/42.79 nonempty = 1
% 42.62/42.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.62/42.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 42.62/42.79
% 42.62/42.79
% 42.62/42.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.62/42.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.62/42.79
% 42.62/42.79 RuleSystem INPUT:
% 42.62/42.79
% 42.62/42.79 Initial Rules:
% 42.62/42.79 #0: input, references = 6, size of lhs = 1:
% 42.62/42.79 coll-{F}(V0,V1,V2) | coll-{T}(V0,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #1: input, references = 6, size of lhs = 1:
% 42.62/42.79 coll-{F}(V0,V1,V2) | coll-{T}(V1,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #2: input, references = 4, size of lhs = 2:
% 42.62/42.79 coll-{F}(V0,V3,V1), coll-{F}(V0,V3,V2) | coll-{T}(V1,V2,V0)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #3: input, references = 6, size of lhs = 1:
% 42.62/42.79 para-{F}(V0,V1,V2,V3) | para-{T}(V0,V1,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #4: input, references = 4, size of lhs = 1:
% 42.62/42.79 para-{F}(V0,V1,V2,V3) | para-{T}(V2,V3,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #5: input, references = 3, size of lhs = 2:
% 42.62/42.79 para-{F}(V0,V1,V2,V3), para-{F}(V5,V4,V0,V1) | para-{T}(V5,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #6: input, references = 4, size of lhs = 1:
% 42.62/42.79 perp-{F}(V0,V1,V2,V3) | perp-{T}(V0,V1,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #7: input, references = 5, size of lhs = 1:
% 42.62/42.79 perp-{F}(V0,V1,V2,V3) | perp-{T}(V2,V3,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #8: input, references = 5, size of lhs = 2:
% 42.62/42.79 perp-{F}(V0,V1,V2,V3), perp-{F}(V5,V4,V0,V1) | para-{T}(V5,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #9: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V0,V1,V2,V3), para-{F}(V5,V4,V0,V1) | perp-{T}(V5,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #10: input, references = 3, size of lhs = 1:
% 42.62/42.79 midp-{F}(V2,V1,V0) | midp-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #11: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V2,V0,V2,V1), cong-{F}(V2,V0,V2,V3) | circle-{T}(V2,V0,V3,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #12: input, references = 3, size of lhs = 3:
% 42.62/42.79 cong-{F}(V2,V0,V2,V1), cong-{F}(V2,V0,V2,V3), cong-{F}(V2,V0,V2,V4) | cyclic-{T}(V0,V4,V3,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #13: input, references = 10, size of lhs = 1:
% 42.62/42.79 cyclic-{F}(V0,V1,V2,V3) | cyclic-{T}(V0,V1,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #14: input, references = 9, size of lhs = 1:
% 42.62/42.79 cyclic-{F}(V0,V1,V2,V3) | cyclic-{T}(V0,V2,V1,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #15: input, references = 8, size of lhs = 1:
% 42.62/42.79 cyclic-{F}(V0,V1,V2,V3) | cyclic-{T}(V1,V0,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #16: input, references = 5, size of lhs = 2:
% 42.62/42.79 cyclic-{F}(V4,V0,V1,V2), cyclic-{F}(V4,V0,V1,V3) | cyclic-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #17: input, references = 30, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V1,V0,V2,V3,V4,V5,V6,V7)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #18: input, references = 24, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V2,V3,V0,V1,V6,V7,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #19: input, references = 27, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V4,V5,V6,V7,V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #20: input, references = 6, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V0,V1,V4,V5,V2,V3,V6,V7)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #21: input, references = 5, size of lhs = 2:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7), eqangle-{F}(V11,V10,V9,V8,V0,V1,V2,V3) | eqangle-{T}(V11,V10,V9,V8,V4,V5,V6,V7)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #22: input, references = 3, size of lhs = 1:
% 42.62/42.79 cong-{F}(V0,V1,V2,V3) | cong-{T}(V0,V1,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #23: input, references = 3, size of lhs = 1:
% 42.62/42.79 cong-{F}(V0,V1,V2,V3) | cong-{T}(V2,V3,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #24: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V0,V1,V2,V3), cong-{F}(V5,V4,V0,V1) | cong-{T}(V5,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #25: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V1,V0,V2,V3,V4,V5,V6,V7)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #26: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V2,V3,V0,V1,V6,V7,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #27: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V4,V5,V6,V7,V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #28: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V0,V1,V4,V5,V2,V3,V6,V7)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #29: input, references = 3, size of lhs = 2:
% 42.62/42.79 eqratio-{F}(V4,V5,V6,V7,V0,V1,V2,V3), eqratio-{F}(V11,V10,V9,V8,V4,V5,V6,V7) | eqratio-{T}(V11,V10,V9,V8,V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #30: input, references = 3, size of lhs = 1:
% 42.62/42.79 simtri-{F}(V0,V2,V1,V3,V5,V4) | simtri-{T}(V0,V1,V2,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #31: input, references = 3, size of lhs = 1:
% 42.62/42.79 simtri-{F}(V1,V0,V2,V4,V3,V5) | simtri-{T}(V0,V1,V2,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #32: input, references = 3, size of lhs = 1:
% 42.62/42.79 simtri-{F}(V3,V4,V5,V0,V1,V2) | simtri-{T}(V0,V1,V2,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #33: input, references = 3, size of lhs = 2:
% 42.62/42.79 simtri-{F}(V0,V1,V2,V3,V4,V5), simtri-{F}(V8,V7,V6,V0,V1,V2) | simtri-{T}(V8,V7,V6,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #34: input, references = 3, size of lhs = 1:
% 42.62/42.79 contri-{F}(V0,V2,V1,V3,V5,V4) | contri-{T}(V0,V1,V2,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #35: input, references = 3, size of lhs = 1:
% 42.62/42.79 contri-{F}(V1,V0,V2,V4,V3,V5) | contri-{T}(V0,V1,V2,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #36: input, references = 3, size of lhs = 1:
% 42.62/42.79 contri-{F}(V3,V4,V5,V0,V1,V2) | contri-{T}(V0,V1,V2,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #37: input, references = 3, size of lhs = 2:
% 42.62/42.79 contri-{F}(V0,V1,V2,V3,V4,V5), contri-{F}(V8,V7,V6,V0,V1,V2) | contri-{T}(V8,V7,V6,V3,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #38: input, references = 7, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V5,V4,V2,V3,V5,V4) | para-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #39: input, references = 8, size of lhs = 3:
% 42.62/42.79 para-{F}(V0,V1,V2,V3), #-{F} V4, #-{F} V5 | eqangle-{T}(V0,V1,V5,V4,V2,V3,V5,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #40: input, references = 4, size of lhs = 1:
% 42.62/42.79 cyclic-{F}(V0,V1,V2,V3) | eqangle-{T}(V2,V0,V2,V1,V3,V0,V3,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #41: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V1,V0,V1,V3,V2,V0,V2,V3) | coll-{T}(V1,V2,V0), cyclic-{T}(V0,V3,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #42: input, references = 8, size of lhs = 2:
% 42.62/42.79 coll-{F}(V1,V2,V0), eqangle-{F}(V1,V3,V1,V0,V2,V3,V2,V0) | cyclic-{T}(V3,V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #43: input, references = 3, size of lhs = 4:
% 42.62/42.79 cyclic-{F}(V0,V1,V4,V2), cyclic-{F}(V0,V1,V4,V3), cyclic-{F}(V0,V1,V4,V5), eqangle-{F}(V4,V0,V4,V1,V5,V2,V5,V3) | cong-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #44: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V2,V4,V0), midp-{F}(V3,V4,V1) | para-{T}(V2,V3,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #45: input, references = 3, size of lhs = 3:
% 42.62/42.79 coll-{F}(V2,V0,V1), midp-{F}(V3,V0,V4), para-{F}(V3,V2,V4,V1) | midp-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #46: input, references = 3, size of lhs = 1:
% 42.62/42.79 cong-{F}(V2,V0,V2,V1) | eqangle-{T}(V2,V0,V0,V1,V0,V1,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #47: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V2,V0,V0,V1,V0,V1,V2,V1) | coll-{T}(V2,V0,V1), cong-{T}(V2,V0,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #48: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V1,V0,V0,V2), circle-{F}(V1,V0,V4,V3) | eqangle-{T}(V0,V2,V0,V4,V3,V0,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #49: input, references = 3, size of lhs = 2:
% 42.62/42.79 circle-{F}(V1,V0,V4,V3), eqangle-{F}(V0,V2,V0,V4,V3,V0,V3,V4) | perp-{T}(V1,V0,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #50: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V2,V0,V1), circle-{F}(V3,V4,V0,V1) | eqangle-{T}(V4,V0,V4,V1,V3,V0,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #51: input, references = 3, size of lhs = 3:
% 42.62/42.79 coll-{F}(V2,V0,V1), circle-{F}(V3,V4,V0,V1), eqangle-{F}(V4,V0,V4,V1,V3,V0,V3,V2) | midp-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #52: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V2,V0,V1), perp-{F}(V0,V3,V3,V1) | cong-{T}(V0,V2,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #53: input, references = 3, size of lhs = 2:
% 42.62/42.79 coll-{F}(V2,V0,V1), circle-{F}(V2,V0,V3,V1) | perp-{T}(V0,V3,V3,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #54: input, references = 3, size of lhs = 2:
% 42.62/42.79 cyclic-{F}(V0,V1,V2,V3), para-{F}(V0,V1,V2,V3) | eqangle-{T}(V0,V3,V2,V3,V2,V3,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #55: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V3,V0,V1), perp-{F}(V2,V3,V0,V1) | cong-{T}(V2,V0,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #56: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V0,V2,V1,V2), cong-{F}(V0,V3,V1,V3) | perp-{T}(V0,V1,V3,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #57: input, references = 3, size of lhs = 3:
% 42.62/42.79 cong-{F}(V0,V1,V3,V1), cong-{F}(V0,V2,V3,V2), cyclic-{F}(V0,V3,V1,V2) | perp-{T}(V1,V0,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #58: input, references = 3, size of lhs = 2:
% 42.62/42.79 eqangle-{F}(V0,V1,V1,V2,V5,V4,V4,V3), eqangle-{F}(V0,V2,V1,V2,V5,V3,V4,V3) | coll-{T}(V0,V1,V2), simtri-{T}(V0,V1,V2,V5,V4,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #59: input, references = 3, size of lhs = 1:
% 42.62/42.79 simtri-{F}(V0,V1,V2,V3,V4,V5) | eqratio-{T}(V0,V1,V0,V2,V3,V4,V3,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #60: input, references = 3, size of lhs = 1:
% 42.62/42.79 simtri-{F}(V0,V1,V2,V3,V4,V5) | eqangle-{T}(V0,V1,V1,V2,V3,V4,V4,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #61: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V0,V1,V2,V3), simtri-{F}(V0,V1,V5,V2,V3,V4) | contri-{T}(V0,V1,V5,V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #62: input, references = 3, size of lhs = 1:
% 42.62/42.79 contri-{F}(V0,V1,V5,V2,V3,V4) | cong-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #63: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V2,V0,V1), midp-{F}(V2,V4,V3) | para-{T}(V4,V0,V3,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #64: input, references = 3, size of lhs = 3:
% 42.62/42.79 para-{F}(V0,V2,V1,V3), para-{F}(V0,V3,V1,V2), midp-{F}(V4,V0,V1) | midp-{T}(V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #65: input, references = 3, size of lhs = 3:
% 42.62/42.79 coll-{F}(V2,V0,V1), para-{F}(V4,V0,V3,V1), coll-{F}(V2,V4,V3) | eqratio-{T}(V2,V4,V4,V3,V2,V0,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #66: input, references = 7, size of lhs = 1:
% 42.62/42.79 para-{F}(V0,V1,V0,V2) | coll-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #67: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V0,V1,V0,V2), coll-{F}(V0,V1,V2) | midp-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #68: input, references = 3, size of lhs = 1:
% 42.62/42.79 midp-{F}(V0,V1,V2) | cong-{T}(V0,V1,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #69: input, references = 3, size of lhs = 1:
% 42.62/42.79 midp-{F}(V0,V1,V2) | coll-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #70: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V2,V0,V1), midp-{F}(V3,V5,V4) | eqratio-{T}(V3,V5,V5,V4,V2,V0,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #71: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V2,V3,V0,V1) | para-{T}(V0,V1,V2,V3), perp-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #72: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V1,V2,V3,V2,V3,V0,V1) | perp-{T}(V0,V1,V2,V3), para-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #73: input, references = 3, size of lhs = 2:
% 42.62/42.79 para-{F}(V0,V1,V2,V3), eqangle-{F}(V7,V6,V5,V4,V0,V1,V2,V3) | para-{T}(V7,V6,V5,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #74: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V0,V1,V2,V3), eqangle-{F}(V7,V6,V5,V4,V0,V1,V2,V3) | perp-{T}(V7,V6,V5,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #75: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V0,V1,V2,V3), eqratio-{F}(V7,V6,V5,V4,V0,V1,V2,V3) | cong-{T}(V7,V6,V5,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #76: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V2,V1,V1,V0), eqangle-{F}(V3,V2,V1,V2,V1,V2,V0,V2) | EXISTS V4: pppp0-{T}(V0,V4,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #77: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp0-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #78: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp0-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #79: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V2,V0,V2,V1), eqangle-{F}(V0,V2,V2,V3,V2,V3,V2,V1) | EXISTS V4: pppp1-{T}(V0,V1,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #80: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp1-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #81: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp1-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #82: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V2,V3,V0,V1), eqangle-{F}(V0,V2,V2,V3,V2,V3,V2,V1) | EXISTS V4: pppp2-{T}(V0,V1,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #83: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp2-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #84: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp2-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #85: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V2,V0,V2,V1), perp-{F}(V2,V3,V0,V1) | EXISTS V4: pppp3-{T}(V0,V1,V4,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #86: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp3-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #87: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp3-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #88: input, references = 3, size of lhs = 1:
% 42.62/42.79 eqangle-{F}(V0,V2,V1,V2,V0,V3,V1,V4) | coll-{T}(V0,V1,V2), pppp27-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #89: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp27-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V1,V2,V4,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #90: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp4-{F}(V0,V1,V2,V3,V4) | cyclic-{T}(V4,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #91: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp4-{F}(V0,V1,V2,V3,V4) | eqangle-{T}(V0,V2,V1,V2,V0,V3,V1,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #92: input, references = 3, size of lhs = 2:
% 42.62/42.79 midp-{F}(V2,V0,V1), midp-{F}(V3,V5,V4) | EXISTS V6: pppp5-{T}(V5,V4,V0,V1,V3,V6,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #93: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6) | para-{T}(V5,V6,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #94: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6) | para-{T}(V5,V4,V1,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #95: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6) | midp-{T}(V5,V0,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #96: input, references = 3, size of lhs = 5:
% 42.62/42.79 #-{F} V1, midp-{F}(V4,V0,V3), coll-{F}(V5,V0,V3), coll-{F}(V6,V0,V3), midp-{F}(V7,V6,V5) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #97: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp6-{F}(V0,V1,V2) | midp-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #98: input, references = 3, size of lhs = 4:
% 42.62/42.79 coll-{F}(V0,V1,V2), para-{F}(V4,V0,V2,V3), midp-{F}(V3,V4,V6), para-{F}(V4,V0,V6,V1) | EXISTS V5: pppp7-{T}(V4,V3,V1,V2,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #99: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp7-{F}(V0,V1,V2,V3,V4) | coll-{T}(V4,V1,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #100: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp7-{F}(V0,V1,V2,V3,V4) | coll-{T}(V4,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #101: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V1,V0,V1,V2), perp-{F}(V4,V3,V3,V1) | EXISTS V5: pppp8-{T}(V4,V3,V0,V1,V5)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #102: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp8-{F}(V0,V1,V2,V3,V4) | cong-{T}(V1,V2,V1,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #103: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp8-{F}(V0,V1,V2,V3,V4) | para-{T}(V4,V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #104: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp8-{F}(V0,V1,V2,V3,V4) | cong-{T}(V3,V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #105: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V0,V4,V1,V2), perp-{F}(V1,V4,V0,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #106: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V0,V4,V1,V2), perp-{F}(V1,V4,V0,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #107: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp10-{F}(V0,V1,V2,V3) | perp-{T}(V0,V3,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #108: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp10-{F}(V0,V1,V2,V3) | coll-{T}(V3,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #109: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp9-{F}(V0,V1,V2,V3) | perp-{T}(V1,V3,V2,V0)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #110: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp9-{F}(V0,V1,V2,V3) | coll-{T}(V3,V2,V0)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #111: input, references = 3, size of lhs = 1:
% 42.62/42.79 circle-{F}(V1,V0,V4,V3) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #112: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp11-{F}(V0,V1,V2) | perp-{T}(V2,V0,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #113: input, references = 3, size of lhs = 4:
% 42.62/42.79 cong-{F}(V0,V3,V0,V2), cong-{F}(V1,V3,V1,V4), circle-{F}(V0,V3,V4,V5), V0 == V1 | EXISTS V6: pppp12-{T}(V3,V4,V2,V6,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #114: input, references = 3, size of lhs = 4:
% 42.62/42.79 cong-{F}(V0,V3,V0,V2), cong-{F}(V1,V3,V1,V4), circle-{F}(V0,V3,V4,V5), V0 == V1 | EXISTS V6: pppp13-{T}(V3,V5,V6,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #115: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp13-{F}(V0,V1,V2,V3) | cong-{T}(V2,V3,V3,V0)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #116: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp13-{F}(V0,V1,V2,V3) | coll-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #117: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp12-{F}(V0,V1,V2,V3,V4) | cong-{T}(V3,V4,V4,V0)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #118: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp12-{F}(V0,V1,V2,V3,V4) | coll-{T}(V3,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #119: input, references = 3, size of lhs = 3:
% 42.62/42.79 midp-{F}(V2,V0,V1), cyclic-{F}(V0,V1,V3,V5), para-{F}(V0,V1,V3,V5) | EXISTS V4: pppp14-{T}(V0,V1,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #120: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp14-{F}(V0,V1,V2,V3) | circle-{T}(V3,V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #121: input, references = 3, size of lhs = 2:
% 42.62/42.79 perp-{F}(V0,V2,V2,V1), cyclic-{F}(V0,V1,V2,V4) | EXISTS V3: pppp15-{T}(V0,V1,V2,V3)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #122: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp15-{F}(V0,V1,V2,V3) | circle-{T}(V3,V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #123: input, references = 3, size of lhs = 2:
% 42.62/42.79 coll-{F}(V0,V1,V2), perp-{F}(V3,V5,V5,V0) | EXISTS V4: pppp16-{T}(V3,V1,V2,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #124: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp16-{F}(V0,V1,V2,V3) | perp-{T}(V3,V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #125: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp16-{F}(V0,V1,V2,V3) | coll-{T}(V3,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #126: input, references = 3, size of lhs = 3:
% 42.62/42.79 perp-{F}(V1,V0,V1,V3), perp-{F}(V0,V4,V0,V1), midp-{F}(V5,V4,V3) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #127: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp17-{F}(V0,V1,V2) | midp-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #128: input, references = 3, size of lhs = 2:
% 42.62/42.79 cong-{F}(V1,V0,V1,V3), perp-{F}(V0,V1,V1,V3) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #129: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp18-{F}(V0,V1,V2) | cong-{T}(V2,V0,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #130: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp18-{F}(V0,V1,V2) | coll-{T}(V0,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #131: input, references = 3, size of lhs = 4:
% 42.62/42.79 coll-{F}(V2,V0,V1), para-{F}(V4,V0,V3,V1), coll-{F}(V2,V4,V3), coll-{F}(V5,V4,V0) | EXISTS V6: pppp19-{T}(V3,V1,V2,V5,V6)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #132: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp19-{F}(V0,V1,V2,V3,V4) | coll-{T}(V4,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #133: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp19-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #134: input, references = 4, size of lhs = 0:
% 42.62/42.79 FALSE | EXISTS V0: pppp26-{T}(V0)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #135: input, references = 4, size of lhs = 1:
% 42.62/42.79 pppp26-{F}(V0) | EXISTS V1: pppp25-{T}(V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #136: input, references = 4, size of lhs = 1:
% 42.62/42.79 pppp25-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #137: input, references = 5, size of lhs = 1:
% 42.62/42.79 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V3,V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #138: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp24-{F}(V0,V1,V2) | coll-{T}(V2,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #139: input, references = 4, size of lhs = 1:
% 42.62/42.79 pppp23-{F}(V0,V1,V2,V3) | EXISTS V4: pppp22-{T}(V0,V1,V2,V3,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #140: input, references = 5, size of lhs = 1:
% 42.62/42.79 pppp23-{F}(V0,V1,V2,V3) | perp-{T}(V3,V0,V1,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #141: input, references = 4, size of lhs = 1:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp21-{T}(V0,V1,V2,V3,V5,V4)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #142: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4) | midp-{T}(V4,V0,V2)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #143: input, references = 4, size of lhs = 1:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5) | EXISTS V6: pppp20-{T}(V0,V1,V3,V4,V5,V6)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #144: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5) | midp-{T}(V4,V2,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #145: input, references = 4, size of lhs = 2:
% 42.62/42.79 pppp20-{F}(V0,V1,V2,V3,V4,V5), cyclic-{F}(V5,V2,V3,V4) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #146: input, references = 3, size of lhs = 1:
% 42.62/42.79 pppp20-{F}(V0,V1,V2,V3,V4,V5) | midp-{T}(V5,V0,V1)
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 number of initial rules = 147
% 42.62/42.79
% 42.62/42.79 Simplifiers:
% 42.62/42.79 #147: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #148: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #149: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #150: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #151: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #152: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6), pppp5-{F}(V0,V1,V2,V3,V4,V12,V6), V5 == V12 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #153: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #154: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #155: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #156: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #157: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #158: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #159: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #160: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #161: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #162: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #163: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #164: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #165: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #166: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #167: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp20-{F}(V0,V1,V2,V3,V4,V5), pppp20-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #168: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp20-{F}(V0,V1,V2,V3,V4,V5), pppp20-{F}(V6,V7,V8,V9,V10,V11), V1 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #169: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V0,V1,V2,V3,V10,V5), V4 == V10 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #170: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V0,V1,V2,V3,V10,V11), V5 == V11 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #171: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V1,V2,V3,V10,V11), V0 == V6 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #172: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V1,V2,V9,V10,V11), V3 == V9 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #173: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V1,V8,V9,V10,V11), V2 == V8 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #174: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp21-{F}(V0,V1,V2,V3,V4,V5), pppp21-{F}(V6,V7,V8,V9,V10,V11), V1 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #175: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #176: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #177: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V5,V1,V2,V8,V9), V3 == V8 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #178: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V5,V1,V7,V8,V9), V2 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #179: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #180: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #181: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #182: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #183: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #184: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #185: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V5), V1 == V4 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #186: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V0 == V3 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #187: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp25-{F}(V0,V1), pppp25-{F}(V0,V3), V1 == V3 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #188: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp25-{F}(V0,V1), pppp25-{F}(V2,V3), V0 == V2 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #189: unsound, references = 3, size of lhs = 3:
% 42.62/42.79 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 number of simplifiers = 43
% 42.62/42.79
% 42.62/42.79 Learnt:
% 42.62/42.79 #222: exists( #143, #220 ), references = 2, size of lhs = 3:
% 42.62/42.79 para-{F}(V0,V1,V1,V0), cyclic-{F}(V0,V1,V0,V2), pppp21-{F}(V3,V4,V5,V1,V2,V0) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #250: exists( #141, #248 ), references = 2, size of lhs = 2:
% 42.62/42.79 para-{F}(V0,V1,V1,V0), pppp22-{F}(V2,V3,V4,V1,V0) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #297: exists( #139, #295 ), references = 3, size of lhs = 3:
% 42.62/42.79 para-{F}(V0,V1,V1,V0), cyclic-{F}(V0,V1,V0,V1), pppp23-{F}(V2,V3,V4,V1) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #313: exists( #137, #311 ), references = 1, size of lhs = 2:
% 42.62/42.79 pppp24-{F}(V0,V0,V0), coll-{F}(V0,V0,V0) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #340: exists( #137, #338 ), references = 1, size of lhs = 1:
% 42.62/42.79 pppp24-{F}(V0,V1,V2) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #342: exists( #136, #339 ), references = 1, size of lhs = 1:
% 42.62/42.79 pppp25-{F}(V0,V1) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #344: exists( #135, #341 ), references = 1, size of lhs = 1:
% 42.62/42.79 pppp26-{F}(V0) | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 #346: exists( #134, #343 ), references = 1, size of lhs = 0:
% 42.62/42.79 FALSE | FALSE
% 42.62/42.79 (used 0 times, uses = {})
% 42.62/42.79
% 42.62/42.79 number of learnt formulas = 8
% 42.62/42.79
% 42.62/42.79
% 42.62/42.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.62/42.79
% 42.62/42.79 randbase = 1
%------------------------------------------------------------------------------