%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX200-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 : Tue May 5 07:01:13 PM UTC 2026
% Result : Unsatisfiable 59.06s 59.36s
% Output : Refutation 59.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX200-1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.17/0.34 % Computer : n015.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 11:16:16 EDT 2026
% 0.17/0.34 % CPUTime :
% 59.06/59.36 GeoParameters:
% 59.06/59.36
% 59.06/59.36 tptp_input = 1
% 59.06/59.36 tptp_output = 0
% 59.06/59.36 nonempty = 1
% 59.06/59.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.06/59.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 59.06/59.36
% 59.06/59.36
% 59.06/59.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.06/59.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.06/59.36
% 59.06/59.36 RuleSystem INPUT:
% 59.06/59.36
% 59.06/59.36 Initial Rules:
% 59.06/59.36 #0: input, references = 5, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_aux-{F}(V1,V2,V3,V4,V0,V5), P_cons-{F}(V3,V4,V6), P_merge-{F}(V2,V6,V7), P_cons-{F}(V1,V7,V8), V5 == V8 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #1: input, references = 5, size of lhs = 7:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_aux-{F}(V2,V3,V4,V5,V1,V6), P_cons-{F}(V2,V3,V7), P_merge-{F}(V7,V5,V8), P_cons-{F}(V4,V8,V9), V6 == V9 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #2: input, references = 5, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_aux2-{F}(V4,V3,V2,V0,V5), P_cons-{F}(V3,V2,V6), P_ord-{F}(V6,V7), V5 == V7 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #3: input, references = 4, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_aux2-{F}(V4,V3,V2,V1,V5), V5 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #4: input, references = 4, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_leqNat-{F}(V2,V3,V4), V4 == V0 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #5: input, references = 4, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_s-{F}(V3,V4), P_leqNat-{F}(V4,V2,V5), V5 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #6: input, references = 5, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_s-{F}(V3,V5), P_s-{F}(V4,V6), P_leqNat-{F}(V5,V6,V7), P_leqNat-{F}(V3,V4,V8), V7 == V8 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #7: input, references = 4, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_merge-{F}(V3,V4,V5), V5 == V4 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #8: input, references = 4, size of lhs = 7:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_cons-{F}(V4,V5,V6), P_merge-{F}(V6,V3,V7), V7 == V6 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #9: input, references = 5, size of lhs = 10:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_cons-{F}(V4,V5,V8), P_cons-{F}(V6,V7,V9), P_merge-{F}(V8,V9,V10), P_leqNat-{F}(V4,V6,V11), P_aux-{F}(V4,V5,V6,V7,V11,V12), V10 == V12 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #10: input, references = 4, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), V4 == V0 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #11: input, references = 4, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_cons-{F}(V5,V3,V6), P_ord-{F}(V6,V7), V7 == V0 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #12: input, references = 6, size of lhs = 11:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_cons-{F}(V6,V5,V8), P_cons-{F}(V7,V8,V9), P_ord-{F}(V9,V10), P_leqNat-{F}(V7,V6,V11), P_aux2-{F}(V7,V6,V5,V11,V12), V10 == V12 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #13: input, references = 5, size of lhs = 7:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_impl-{F}(V0,V5,V6), V6 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #14: input, references = 4, size of lhs = 7:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_impl-{F}(V1,V5,V6), V6 == V0 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #15: input, references = 5, size of lhs = 16:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_prop_merge_ord_not3-{F}(V6,V5,V7), P_ord-{F}(V6,V8), P_eq2-{F}(V8,V0,V9), P_ord-{F}(V5,V10), P_eq2-{F}(V10,V1,V11), P_merge-{F}(V6,V5,V12), P_ord-{F}(V12,V13), P_eq2-{F}(V13,V0,V14), P_impl-{F}(V11,V14,V15), P_impl-{F}(V9,V15,V16), V7 == V16 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #16: input, references = 4, size of lhs = 7:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), V5 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #17: input, references = 4, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), V6 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #18: input, references = 4, size of lhs = 12:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_s-{F}(V8,V9), P_s-{F}(V7,V10), P_eq-{F}(V9,V10,V11), P_eq-{F}(V8,V7,V12), V11 == V12 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #19: input, references = 4, size of lhs = 10:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_s-{F}(V7,V8), P_eq-{F}(V2,V8,V9), V9 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #20: input, references = 4, size of lhs = 10:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_s-{F}(V7,V8), P_eq-{F}(V8,V2,V9), V9 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #21: input, references = 4, size of lhs = 9:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_eq-{F}(V7,V7,V8), V8 == V0 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #22: input, references = 4, size of lhs = 9:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_eq2-{F}(V7,V7,V8), V8 == V0 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #23: input, references = 4, size of lhs = 9:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_prop_merge_ord_not3-{F}(V8,V7,V9), P_eq2-{F}(V9,V1,V0) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #24: input, references = 7, size of lhs = 5:
% 59.06/59.36 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_aux-{T}(V0,V1,V2,V3,V4,V5)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #25: input, references = 4, size of lhs = 0:
% 59.06/59.36 FALSE | EXISTS V0: P_btrue-{T}(V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #26: input, references = 8, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #27: input, references = 5, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_merge-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #28: input, references = 4, size of lhs = 0:
% 59.06/59.36 FALSE | EXISTS V0: P_bfalse-{T}(V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #29: input, references = 7, size of lhs = 4:
% 59.06/59.36 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_aux2-{T}(V0,V1,V2,V3,V4)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #30: input, references = 6, size of lhs = 1:
% 59.06/59.36 #-{F} V0 | EXISTS V1: P_ord-{T}(V0,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #31: input, references = 7, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_leqNat-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #32: input, references = 5, size of lhs = 0:
% 59.06/59.36 FALSE | EXISTS V0: P_z-{T}(V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #33: input, references = 4, size of lhs = 1:
% 59.06/59.36 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #34: input, references = 5, size of lhs = 0:
% 59.06/59.36 FALSE | EXISTS V0: P_nil-{T}(V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #35: input, references = 4, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_impl-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #36: input, references = 5, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_prop_merge_ord_not3-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #37: input, references = 6, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq2-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #38: input, references = 7, size of lhs = 2:
% 59.06/59.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq-{T}(V0,V1,V2)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 number of initial rules = 39
% 59.06/59.36
% 59.06/59.36 Simplifiers:
% 59.06/59.36 #39: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_aux-{F}(V0,V1,V2,V3,V4,V5), P_aux-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #40: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_btrue-{F}(V0), P_btrue-{F}(V1), V0 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #41: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #42: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_merge-{F}(V0,V1,V2), P_merge-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #43: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_bfalse-{F}(V0), P_bfalse-{F}(V1), V0 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #44: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_aux2-{F}(V0,V1,V2,V3,V4), P_aux2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #45: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_ord-{F}(V0,V1), P_ord-{F}(V0,V3), V1 == V3 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #46: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_leqNat-{F}(V0,V1,V2), P_leqNat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #47: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #48: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #49: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #50: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_impl-{F}(V0,V1,V2), P_impl-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #51: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_prop_merge_ord_not3-{F}(V0,V1,V2), P_prop_merge_ord_not3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #52: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_eq2-{F}(V0,V1,V2), P_eq2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #53: unsound, references = 3, size of lhs = 3:
% 59.06/59.36 P_eq-{F}(V0,V1,V2), P_eq-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 number of simplifiers = 15
% 59.06/59.36
% 59.06/59.36 Learnt:
% 59.06/59.36 #55: exists( #31, #5 ), references = 2, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_s-{F}(V3,V4) | P_leqNat-{T}(V4,V2,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #58: exists( #27, #7 ), references = 2, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), #-{F} V4 | P_merge-{T}(V3,V4,V4)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #59: exists( #27, #8 ), references = 2, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_cons-{F}(V4,V5,V6) | P_merge-{T}(V6,V3,V6)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #61: exists( #30, #10 ), references = 2, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3) | P_ord-{T}(V3,V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #64: exists( #35, #13 ), references = 2, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), #-{F} V5 | P_impl-{T}(V0,V5,V5)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #65: exists( #35, #14 ), references = 2, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), #-{F} V5 | P_impl-{T}(V1,V5,V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #78: mergings( V1 == V4, V4 == V5, V2 == V5, V5 == V7, V3 == V6, V6 == V8; #70 ), references = 1, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V0), P_z-{F}(V1), #-{F} V2, V0 == V2 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #87: mergings( V1 == V3, V3 == V4, V2 == V4, V4 == V5; #81 ), references = 1, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V0), #-{F} V1, V0 == V1 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #91: exists( #31, #4 ), references = 1, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), #-{F} V3 | P_leqNat-{T}(V2,V3,V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #93: exists( #27, #9 ), references = 2, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_cons-{F}(V4,V5,V6), P_leqNat-{F}(V4,V7,V8), P_cons-{F}(V7,V9,V10), P_aux-{F}(V4,V5,V7,V9,V8,V11) | P_merge-{T}(V6,V10,V11)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #95: exists( #24, #0 ), references = 2, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_cons-{F}(V1,V2,V3), P_merge-{F}(V4,V3,V5), P_cons-{F}(V6,V5,V7) | P_aux-{T}(V6,V4,V1,V2,V0,V7)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #97: exists( #29, #2 ), references = 1, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_ord-{F}(V2,V3), P_cons-{F}(V4,V5,V2), #-{F} V6 | P_aux2-{T}(V6,V4,V5,V0,V3)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #100: exists( #29, #12 ), references = 1, size of lhs = 9:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_ord-{F}(V5,V6), P_cons-{F}(V7,V8,V5), P_cons-{F}(V9,V10,V8), P_leqNat-{F}(V7,V9,V11) | P_aux2-{T}(V7,V9,V10,V11,V6)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #103: exists( #24, #9 ), references = 2, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_cons-{F}(V4,V5,V6), P_leqNat-{F}(V4,V7,V8), P_cons-{F}(V7,V9,V10), P_merge-{F}(V6,V10,V11) | P_aux-{T}(V4,V5,V7,V9,V8,V11)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #106: exists( #26, #0 ), references = 2, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_cons-{F}(V1,V2,V3), P_merge-{F}(V4,V3,V5), P_aux-{F}(V6,V4,V1,V2,V0,V7) | P_cons-{T}(V6,V5,V7)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #111: exists( #29, #3 ), references = 2, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), #-{F} V2, #-{F} V3, #-{F} V4 | P_aux2-{T}(V2,V3,V4,V1,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #114: exists( #30, #12 ), references = 3, size of lhs = 9:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_cons-{F}(V5,V6,V7), P_cons-{F}(V8,V7,V9), P_leqNat-{F}(V8,V5,V10), P_aux2-{F}(V8,V5,V6,V10,V11) | P_ord-{T}(V9,V11)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #117: exists( #24, #1 ), references = 1, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_cons-{F}(V7,V6,V8) | P_aux-{T}(V2,V3,V7,V5,V1,V8)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #122: exists( #37, #16 ), references = 1, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4) | P_eq2-{T}(V1,V0,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #125: exists( #31, #6 ), references = 1, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_s-{F}(V3,V4), P_s-{F}(V5,V6), P_leqNat-{F}(V3,V5,V7) | P_leqNat-{T}(V4,V6,V7)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #128: exists( #31, #6 ), references = 1, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_s-{F}(V3,V4), P_s-{F}(V5,V6), P_leqNat-{F}(V4,V6,V7) | P_leqNat-{T}(V3,V5,V7)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #137: exists( #30, #2 ), references = 1, size of lhs = 4:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_cons-{F}(V2,V3,V4), P_aux2-{F}(V5,V2,V3,V0,V6) | P_ord-{T}(V4,V6)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #142: mergings( V3 == V6, V5 == V7; #139 ), references = 1, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_cons-{F}(V5,V3,V6), P_cons-{F}(V7,V8,V6), #-{F} V9 | P_aux2-{T}(V9,V7,V8,V0,V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #147: exists( #26, #1 ), references = 2, size of lhs = 5:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_cons-{F}(V2,V3,V4), P_merge-{F}(V4,V5,V6), P_aux-{F}(V2,V3,V7,V5,V1,V8) | P_cons-{T}(V7,V6,V8)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #183: mergings( V3 == V4, V4 == V9, V9 == V13, V13 == V17, V17 == V18, V30 == V31, V31 == V33, V5 == V10, V10 == V14, V14 == V19, V6 == V11, V11 == V15, V15 == V20, V7 == V12, V12 == V16, V16 == V21, V8 == V22; #165 ), references = 1, size of lhs = 20:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_leqNat-{F}(V5,V6,V0), P_cons-{F}(V5,V7,V8), P_cons-{F}(V9,V10,V8), P_leqNat-{F}(V9,V11,V0), P_cons-{F}(V11,V12,V13), P_merge-{F}(V10,V13,V14), P_cons-{F}(V6,V15,V13), P_merge-{F}(V7,V13,V16), P_cons-{F}(V17,V18,V16), P_leqNat-{F}(V5,V17,V19), P_aux2-{F}(V5,V17,V18,V19,V20), P_cons-{F}(V21,V22,V14), P_leqNat-{F}(V9,V21,V23), P_aux2-{F}(V9,V21,V22,V23,V24), V24 == V20 | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #189: exists( #37, #17 ), references = 1, size of lhs = 6:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5) | P_eq2-{T}(V0,V1,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #191: exists( #38, #21 ), references = 1, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), #-{F} V7 | P_eq-{T}(V7,V7,V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #193: exists( #37, #22 ), references = 3, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), #-{F} V7 | P_eq2-{T}(V7,V7,V0)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #195: exists( #36, #15 ), references = 2, size of lhs = 14:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_ord-{F}(V5,V6), P_eq2-{F}(V6,V0,V7), P_ord-{F}(V8,V9), P_eq2-{F}(V9,V1,V10), P_merge-{F}(V5,V8,V11), P_ord-{F}(V11,V12), P_eq2-{F}(V12,V0,V13), P_impl-{F}(V10,V13,V14), P_impl-{F}(V7,V14,V15) | P_prop_merge_ord_not3-{T}(V5,V8,V15)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #197: exists( #38, #18 ), references = 1, size of lhs = 10:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_s-{F}(V7,V8), P_s-{F}(V9,V10), P_eq-{F}(V8,V10,V11) | P_eq-{T}(V7,V9,V11)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #213: exists( #38, #20 ), references = 1, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_s-{F}(V7,V8) | P_eq-{T}(V8,V2,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #226: exists( #38, #19 ), references = 1, size of lhs = 8:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_eq2-{F}(V1,V0,V5), P_eq2-{F}(V0,V1,V6), P_s-{F}(V7,V8) | P_eq-{T}(V2,V8,V1)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #229: exists( #36, #15 ), references = 1, size of lhs = 14:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_ord-{F}(V3,V4), P_ord-{F}(V5,V6), P_eq2-{F}(V6,V0,V7), P_ord-{F}(V8,V9), P_eq2-{F}(V9,V1,V10), P_merge-{F}(V5,V8,V11), P_ord-{F}(V11,V12), P_eq2-{F}(V12,V0,V13), P_impl-{F}(V10,V13,V14), P_impl-{F}(V7,V14,V15) | P_prop_merge_ord_not3-{T}(V5,V8,V15)
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #268: mergings( V6 == V10, V10 == V11, V11 == V16, V16 == V21, V7 == V4, V4 == V12, V12 == V17, V17 == V22, V8 == V13, V13 == V18, V18 == V23, V9 == V14, V15 == V28, V14 == V19, V20 == V28, V19 == V24, V25 == V28; #250 ), references = 1, size of lhs = 18:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_eq2-{F}(V1,V0,V4), P_eq2-{F}(V0,V1,V5), P_ord-{F}(V3,V6), P_eq2-{F}(V6,V0,V7), P_eq2-{F}(V8,V1,V0), P_impl-{F}(V7,V9,V8), P_eq2-{F}(V10,V1,V11), P_eq2-{F}(V10,V0,V12), P_impl-{F}(V11,V12,V9), P_cons-{F}(V13,V14,V15), P_merge-{F}(V15,V16,V17), P_cons-{F}(V18,V19,V17), P_leqNat-{F}(V20,V18,V21), P_aux2-{F}(V20,V18,V19,V21,V10) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #287: mergings( V3 == V7, V7 == V9, V9 == V14, V14 == V19, V4 == V8, V8 == V10, V10 == V15, V15 == V20, V5 == V11, V11 == V16, V16 == V21, V6 == V12, V13 == V26, V12 == V17, V18 == V26, V17 == V22, V23 == V26; #269 ), references = 1, size of lhs = 18:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_eq2-{F}(V1,V0,V4), P_eq2-{F}(V0,V1,V5), P_ord-{F}(V3,V6), P_eq2-{F}(V6,V0,V7), P_eq2-{F}(V8,V1,V0), P_impl-{F}(V7,V9,V8), P_eq2-{F}(V10,V1,V11), P_eq2-{F}(V10,V0,V12), P_impl-{F}(V11,V12,V9), P_cons-{F}(V13,V14,V15), P_merge-{F}(V15,V16,V17), P_cons-{F}(V18,V19,V17), P_leqNat-{F}(V20,V18,V21), P_aux2-{F}(V20,V18,V19,V21,V10) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #311: mergings( V3 == V7, V7 == V11, V11 == V13, V13 == V18, V18 == V23, V4 == V8, V8 == V12, V12 == V14, V14 == V19, V19 == V24, V5 == V9, V9 == V15, V15 == V20, V20 == V25, V6 == V10, V10 == V16, V17 == V30, V16 == V21, V22 == V30, V21 == V26, V27 == V30; #289 ), references = 2, size of lhs = 15:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_eq2-{F}(V1,V0,V4), P_eq2-{F}(V0,V1,V5), P_ord-{F}(V3,V6), P_eq2-{F}(V6,V0,V7), P_eq2-{F}(V8,V1,V0), P_impl-{F}(V7,V9,V8), P_eq2-{F}(V10,V1,V11), P_eq2-{F}(V10,V0,V12), P_impl-{F}(V11,V12,V9), P_leqNat-{F}(V13,V14,V15), P_aux2-{F}(V13,V14,V16,V15,V10) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #321: mergings( V2 == V4, V4 == V6, V5 == V7, V3 == V8, V10 == V15; #315 ), references = 1, size of lhs = 12:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2), P_nil-{F}(V3), P_eq2-{F}(V0,V1,V4), P_ord-{F}(V3,V5), P_eq2-{F}(V5,V0,V6), P_eq2-{F}(V1,V1,V7), P_eq2-{F}(V1,V0,V8), P_impl-{F}(V7,V8,V9), P_impl-{F}(V6,V9,V10), P_eq2-{F}(V10,V1,V0) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #340: mergings( V9 == V11, V11 == V12, V1 == V3, V3 == V13, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V14; #328 ), references = 1, size of lhs = 3:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_z-{F}(V2) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #346: mergings( V3 == V4, V4 == V5, V1 == V2, V2 == V6; #341 ), references = 1, size of lhs = 2:
% 59.06/59.36 P_btrue-{F}(V0), P_bfalse-{F}(V1) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #350: mergings( V1 == V2, V2 == V3; #347 ), references = 1, size of lhs = 1:
% 59.06/59.36 P_btrue-{F}(V0) | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 #352: exists( #25, #347 ), references = 1, size of lhs = 0:
% 59.06/59.36 FALSE | FALSE
% 59.06/59.36 (used 0 times, uses = {})
% 59.06/59.36
% 59.06/59.36 number of learnt formulas = 41
% 59.06/59.36
% 59.06/59.36
% 59.06/59.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.06/59.36
% 59.06/59.36 randbase = 1
%------------------------------------------------------------------------------