%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 07:01:12 PM UTC 2026
% Result : Unsatisfiable 0.53s 0.70s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 09:39:21 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.53/0.70 GeoParameters:
% 0.53/0.70
% 0.53/0.70 tptp_input = 1
% 0.53/0.70 tptp_output = 0
% 0.53/0.70 nonempty = 1
% 0.53/0.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.53/0.70
% 0.53/0.70
% 0.53/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70
% 0.53/0.70 RuleSystem INPUT:
% 0.53/0.70
% 0.53/0.70 Initial Rules:
% 0.53/0.70 #0: input, references = 4, size of lhs = 3:
% 0.53/0.70 P_btrue-{F}(V0), P_impl-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #1: input, references = 4, size of lhs = 4:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_impl-{F}(V1,V2,V3), V3 == V0 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #2: input, references = 4, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_s-{F}(V3,V4), P_drop-{F}(V4,V2,V5), V5 == V2 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #3: input, references = 6, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_s-{F}(V3,V6), P_cons-{F}(V4,V5,V7), P_drop-{F}(V6,V7,V8), P_drop-{F}(V3,V5,V9), V8 == V9 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #4: input, references = 5, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_drop-{F}(V3,V4,V5), V5 == V4 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #5: input, references = 5, size of lhs = 11:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_prop_drop_inj2-{F}(V6,V5,V4,V7), P_drop-{F}(V6,V5,V8), P_drop-{F}(V6,V4,V9), P_eq-{F}(V8,V9,V10), P_eq-{F}(V5,V4,V11), P_impl-{F}(V10,V11,V12), V7 == V12 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #6: input, references = 4, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), V4 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #7: input, references = 4, size of lhs = 7:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), V5 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #8: input, references = 4, size of lhs = 11:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_s-{F}(V7,V8), P_s-{F}(V6,V9), P_eq2-{F}(V8,V9,V10), P_eq2-{F}(V7,V6,V11), V10 == V11 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #9: input, references = 3, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_s-{F}(V6,V7), P_eq2-{F}(V7,V3,V8), V8 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #10: input, references = 3, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_s-{F}(V6,V7), P_eq2-{F}(V3,V7,V8), V8 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #11: input, references = 4, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq-{F}(V6,V6,V7), V7 == V0 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #12: input, references = 4, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq2-{F}(V6,V6,V7), V7 == V0 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #13: input, references = 4, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq3-{F}(V6,V6,V7), V7 == V0 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #14: input, references = 3, size of lhs = 11:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq2-{F}(V7,V6,V1), P_cons-{F}(V7,V9,V11), P_cons-{F}(V6,V10,V12), P_eq-{F}(V11,V12,V13), V13 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #15: input, references = 4, size of lhs = 12:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq2-{F}(V7,V6,V0), P_cons-{F}(V7,V9,V11), P_cons-{F}(V6,V10,V12), P_eq-{F}(V11,V12,V13), P_eq-{F}(V9,V10,V14), V13 == V14 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #16: input, references = 4, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_cons-{F}(V7,V6,V8), P_eq-{F}(V2,V8,V9), V9 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #17: input, references = 4, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_cons-{F}(V7,V6,V8), P_eq-{F}(V8,V2,V9), V9 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #18: input, references = 4, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_prop_drop_inj2-{F}(V8,V7,V6,V9), P_eq3-{F}(V9,V1,V0) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #19: input, references = 4, size of lhs = 2:
% 0.53/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_impl-{T}(V0,V1,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #20: input, references = 4, size of lhs = 0:
% 0.53/0.70 FALSE | EXISTS V0: P_btrue-{T}(V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #21: input, references = 4, size of lhs = 0:
% 0.53/0.70 FALSE | EXISTS V0: P_bfalse-{T}(V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #22: input, references = 7, size of lhs = 2:
% 0.53/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_drop-{T}(V0,V1,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #23: input, references = 5, size of lhs = 1:
% 0.53/0.70 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #24: input, references = 4, size of lhs = 0:
% 0.53/0.70 FALSE | EXISTS V0: P_nil-{T}(V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #25: input, references = 5, size of lhs = 2:
% 0.53/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #26: input, references = 4, size of lhs = 0:
% 0.53/0.70 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #27: input, references = 5, size of lhs = 3:
% 0.53/0.70 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_prop_drop_inj2-{T}(V0,V1,V2,V3)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #28: input, references = 6, size of lhs = 2:
% 0.53/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq-{T}(V0,V1,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #29: input, references = 7, size of lhs = 2:
% 0.53/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq3-{T}(V0,V1,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #30: input, references = 5, size of lhs = 2:
% 0.53/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_eq2-{T}(V0,V1,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 number of initial rules = 31
% 0.53/0.70
% 0.53/0.70 Simplifiers:
% 0.53/0.70 #31: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_impl-{F}(V0,V1,V2), P_impl-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #32: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_btrue-{F}(V0), P_btrue-{F}(V1), V0 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #33: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_bfalse-{F}(V0), P_bfalse-{F}(V1), V0 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #34: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_drop-{F}(V0,V1,V2), P_drop-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #35: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #36: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #37: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #38: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #39: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_prop_drop_inj2-{F}(V0,V1,V2,V3), P_prop_drop_inj2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #40: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_eq-{F}(V0,V1,V2), P_eq-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #41: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_eq3-{F}(V0,V1,V2), P_eq3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #42: unsound, references = 3, size of lhs = 3:
% 0.53/0.70 P_eq2-{F}(V0,V1,V2), P_eq2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 number of simplifiers = 12
% 0.53/0.70
% 0.53/0.70 Learnt:
% 0.53/0.70 #44: exists( #22, #2 ), references = 3, size of lhs = 4:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_s-{F}(V3,V4) | P_drop-{T}(V4,V2,V2)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #46: exists( #22, #3 ), references = 1, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_s-{F}(V3,V4), P_drop-{F}(V4,V5,V6), P_cons-{F}(V7,V8,V5) | P_drop-{T}(V3,V8,V6)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #56: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #49 ), references = 1, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_cons-{F}(V4,V5,V2), V2 == V5 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #58: exists( #22, #4 ), references = 3, size of lhs = 5:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), #-{F} V4 | P_drop-{T}(V3,V4,V4)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #64: mergings( V3 == V7, V4 == V8, V5 == V9; #60 ), references = 1, size of lhs = 7:
% 0.53/0.70 P_z-{F}(V0), P_btrue-{F}(V1), P_bfalse-{F}(V2), P_nil-{F}(V3), P_s-{F}(V4,V0), P_drop-{F}(V4,V5,V6), #-{F} V7 | P_cons-{T}(V7,V5,V6)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #68: exists( #19, #0 ), references = 2, size of lhs = 2:
% 0.53/0.70 P_btrue-{F}(V0), #-{F} V1 | P_impl-{T}(V0,V1,V1)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #69: exists( #19, #1 ), references = 1, size of lhs = 3:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), #-{F} V2 | P_impl-{T}(V1,V2,V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #71: exists( #29, #6 ), references = 1, size of lhs = 4:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3) | P_eq3-{T}(V1,V0,V1)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #75: exists( #29, #16 ), references = 1, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq-{F}(V2,V5,V6), V6 == V1, P_cons-{F}(V7,V8,V5) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #76: exists( #29, #17 ), references = 1, size of lhs = 8:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq-{F}(V5,V2,V6), V6 == V1, P_cons-{F}(V7,V8,V5) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #77: exists( #29, #13 ), references = 2, size of lhs = 7:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V5,V5,V6), V6 == V0 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #80: exists( #28, #72 ), references = 2, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_cons-{F}(V5,V6,V7) | P_eq-{T}(V2,V7,V1)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #81: exists( #28, #73 ), references = 1, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_cons-{F}(V5,V6,V7) | P_eq-{T}(V7,V2,V1)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #83: exists( #27, #5 ), references = 2, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_drop-{F}(V4,V5,V6), P_drop-{F}(V4,V7,V8), P_eq-{F}(V6,V8,V9), P_eq-{F}(V5,V7,V10), P_impl-{F}(V9,V10,V11) | P_prop_drop_inj2-{T}(V4,V5,V7,V11)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #85: exists( #29, #77 ), references = 1, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), #-{F} V5 | P_eq3-{T}(V5,V5,V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #90: exists( #29, #7 ), references = 1, size of lhs = 5:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4) | P_eq3-{T}(V0,V1,V1)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #91: exists( #29, #11 ), references = 2, size of lhs = 7:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq-{F}(V5,V5,V6), V6 == V0 | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #94: exists( #28, #91 ), references = 1, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), #-{F} V5 | P_eq-{T}(V5,V5,V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #96: exists( #30, #12 ), references = 1, size of lhs = 7:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), #-{F} V6 | P_eq2-{T}(V6,V6,V0)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #100: exists( #30, #8 ), references = 1, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_s-{F}(V6,V7), P_s-{F}(V8,V9), P_eq2-{F}(V7,V9,V10) | P_eq2-{T}(V6,V8,V10)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #102: exists( #27, #5 ), references = 1, size of lhs = 9:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_drop-{F}(V4,V5,V6), P_drop-{F}(V4,V7,V8), P_eq-{F}(V6,V8,V9), P_eq-{F}(V5,V7,V10), P_impl-{F}(V9,V10,V11) | P_prop_drop_inj2-{T}(V4,V5,V7,V11)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #104: exists( #28, #15 ), references = 1, size of lhs = 10:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq2-{F}(V6,V7,V0), P_cons-{F}(V6,V8,V9), P_cons-{F}(V7,V10,V11), P_eq-{F}(V9,V11,V12) | P_eq-{T}(V8,V10,V12)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #107: exists( #22, #3 ), references = 1, size of lhs = 6:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_s-{F}(V3,V4), P_drop-{F}(V3,V5,V6), P_cons-{F}(V7,V5,V8) | P_drop-{T}(V4,V8,V6)
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #124: mergings( V3 == V8, V8 == V11, V11 == V15, V4 == V9, V9 == V12, V12 == V16, V5 == V10, V10 == V13, V13 == V17, V6 == V14, V14 == V18, V7 == V19; #111 ), references = 1, size of lhs = 12:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq3-{F}(V6,V1,V0), P_impl-{F}(V7,V1,V6), P_s-{F}(V8,V9), P_drop-{F}(V9,V2,V10), P_eq-{F}(V10,V11,V7), P_drop-{F}(V8,V12,V11) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #141: mergings( V2 == V4, V4 == V9, V9 == V12, V12 == V16, V3 == V5, V5 == V10, V10 == V13, V13 == V17, V6 == V11, V11 == V14, V14 == V18, V7 == V15, V15 == V19, V8 == V20; #126 ), references = 1, size of lhs = 10:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_nil-{F}(V2), P_z-{F}(V3), P_eq3-{F}(V1,V0,V4), P_eq3-{F}(V0,V1,V5), P_eq3-{F}(V6,V1,V0), P_impl-{F}(V7,V1,V6), P_eq-{F}(V2,V8,V7), P_drop-{F}(V9,V10,V8) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #164: mergings( V1 == V8, V8 == V11, V11 == V14, V14 == V17, V2 == V9, V9 == V12, V12 == V15, V15 == V18, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19; #147 ), references = 1, size of lhs = 4:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_impl-{F}(V0,V1,V1), P_nil-{F}(V2) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #174: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V10; #165 ), references = 2, size of lhs = 3:
% 0.53/0.70 P_btrue-{F}(V0), P_bfalse-{F}(V1), P_impl-{F}(V0,V1,V1) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #177: exists( #21, #175 ), references = 1, size of lhs = 1:
% 0.53/0.70 P_btrue-{F}(V0) | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 #179: exists( #20, #176 ), references = 1, size of lhs = 0:
% 0.53/0.70 FALSE | FALSE
% 0.53/0.70 (used 0 times, uses = {})
% 0.53/0.70
% 0.53/0.70 number of learnt formulas = 29
% 0.53/0.70
% 0.53/0.70
% 0.53/0.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70
% 0.53/0.70 randbase = 1
%------------------------------------------------------------------------------