%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 07:01:14 PM UTC 2026
% Result : Theorem 1.64s 1.88s
% Output : Refutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 11:35:30 EDT 2026
% 0.15/0.33 % CPUTime :
% 1.64/1.88 GeoParameters:
% 1.64/1.88
% 1.64/1.88 tptp_input = 1
% 1.64/1.88 tptp_output = 0
% 1.64/1.88 nonempty = 1
% 1.64/1.88 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.88 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.64/1.88
% 1.64/1.88
% 1.64/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.88
% 1.64/1.88 RuleSystem INPUT:
% 1.64/1.88
% 1.64/1.88 Initial Rules:
% 1.64/1.88 #0: input, references = 5, size of lhs = 3:
% 1.64/1.88 P_cons-{F}(V0,V1,V2), P_head-{F}(V2,V3), V3 == V0 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #1: input, references = 5, size of lhs = 3:
% 1.64/1.88 P_cons-{F}(V0,V1,V2), P_tail-{F}(V2,V3), V3 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #2: input, references = 4, size of lhs = 2:
% 1.64/1.88 P_nil-{F}(V3), P_cons-{F}(V1,V2,V3) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #3: input, references = 3, size of lhs = 3:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #4: input, references = 3, size of lhs = 6:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_aP-{F}(V3,V4), P_proj1AP-{F}(V4,V5), V5 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #5: input, references = 3, size of lhs = 6:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bP-{F}(V3,V4), P_proj1BP-{F}(V4,V5), V5 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #6: input, references = 3, size of lhs = 5:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_aP-{F}(V3,V6), P_bP-{F}(V4,V6) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #7: input, references = 3, size of lhs = 5:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_aP-{F}(V4,V3) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #8: input, references = 3, size of lhs = 6:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_aP-{F}(V5,V4) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #9: input, references = 3, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_aP-{F}(V6,V5) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #10: input, references = 3, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_bP-{F}(V6,V3) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #11: input, references = 3, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_bP-{F}(V6,V4) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #12: input, references = 3, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_bP-{F}(V6,V5) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #13: input, references = 4, size of lhs = 6:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V4), P_pB-{F}(V4), P_pE-{F}(V5) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #14: input, references = 4, size of lhs = 6:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V5), P_pB-{F}(V4), P_pE-{F}(V5) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #15: input, references = 3, size of lhs = 6:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V5), P_pE-{F}(V5) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #16: input, references = 5, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_c2-{F}(V6,V7,V8), P_proj1C-{F}(V8,V9), V9 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #17: input, references = 5, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_c2-{F}(V6,V7,V8), P_proj2C-{F}(V8,V9), V9 == V7 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #18: input, references = 4, size of lhs = 8:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_append-{F}(V0,V6,V7), V7 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #19: input, references = 4, size of lhs = 11:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V7,V8,V9), P_append-{F}(V9,V6,V10), P_append-{F}(V8,V6,V11), P_cons-{F}(V7,V11,V12), V10 == V12 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #20: input, references = 3, size of lhs = 13:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_aP-{F}(V7,V8), P_linP-{F}(V8,V9), P_linP-{F}(V7,V10), P_append-{F}(V10,V6,V11), P_append-{F}(V6,V11,V12), V9 == V12 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #21: input, references = 3, size of lhs = 14:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_bP-{F}(V8,V9), P_linP-{F}(V9,V10), P_linP-{F}(V8,V11), P_append-{F}(V11,V7,V12), P_append-{F}(V7,V12,V13), V10 == V13 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #22: input, references = 4, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), V8 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #23: input, references = 4, size of lhs = 11:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9), V9 == V7 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #24: input, references = 4, size of lhs = 12:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9), P_linP-{F}(V5,V10), V10 == V0 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #25: input, references = 4, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9), P_linP-{F}(V5,V10), P_c2-{F}(V11,V12,V13), P_linC-{F}(V13,V14), P_linP-{F}(V11,V15), P_linP-{F}(V12,V16), P_append-{F}(V15,V16,V17), V14 == V17 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #26: input, references = 5, size of lhs = 14:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9), P_linP-{F}(V5,V10), P_linC-{F}(V11,V14), P_linC-{F}(V12,V14), V11 == V12 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #27: input, references = 4, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_head-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #28: input, references = 10, size of lhs = 2:
% 1.64/1.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #29: input, references = 4, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_tail-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #30: input, references = 4, size of lhs = 0:
% 1.64/1.88 FALSE | EXISTS V0: P_nil-{T}(V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #31: input, references = 4, size of lhs = 0:
% 1.64/1.88 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #32: input, references = 4, size of lhs = 0:
% 1.64/1.88 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #33: input, references = 3, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_proj1AP-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #34: input, references = 3, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_aP-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #35: input, references = 3, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_proj1BP-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #36: input, references = 3, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_bP-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #37: input, references = 4, size of lhs = 0:
% 1.64/1.88 FALSE | EXISTS V0: P_pA-{T}(V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #38: input, references = 4, size of lhs = 0:
% 1.64/1.88 FALSE | EXISTS V0: P_pB-{T}(V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #39: input, references = 5, size of lhs = 0:
% 1.64/1.88 FALSE | EXISTS V0: P_pE-{T}(V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #40: input, references = 4, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_proj1C-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #41: input, references = 5, size of lhs = 2:
% 1.64/1.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_c2-{T}(V0,V1,V2)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #42: input, references = 4, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_proj2C-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #43: input, references = 7, size of lhs = 2:
% 1.64/1.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_append-{T}(V0,V1,V2)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #44: input, references = 10, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_linP-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #45: input, references = 4, size of lhs = 1:
% 1.64/1.88 #-{F} V0 | EXISTS V1: P_linC-{T}(V0,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 number of initial rules = 46
% 1.64/1.88
% 1.64/1.88 Simplifiers:
% 1.64/1.88 #46: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_head-{F}(V0,V1), P_head-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #47: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #48: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_tail-{F}(V0,V1), P_tail-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #49: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #50: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #51: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #52: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_proj1AP-{F}(V0,V1), P_proj1AP-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #53: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_aP-{F}(V0,V1), P_aP-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #54: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_proj1BP-{F}(V0,V1), P_proj1BP-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #55: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_bP-{F}(V0,V1), P_bP-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #56: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_pA-{F}(V0), P_pA-{F}(V1), V0 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #57: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_pB-{F}(V0), P_pB-{F}(V1), V0 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #58: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_pE-{F}(V0), P_pE-{F}(V1), V0 == V1 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #59: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_proj1C-{F}(V0,V1), P_proj1C-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #60: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_c2-{F}(V0,V1,V2), P_c2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #61: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_proj2C-{F}(V0,V1), P_proj2C-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #62: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_append-{F}(V0,V1,V2), P_append-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #63: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_linP-{F}(V0,V1), P_linP-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #64: unsound, references = 3, size of lhs = 3:
% 1.64/1.88 P_linC-{F}(V0,V1), P_linC-{F}(V0,V3), V1 == V3 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 number of simplifiers = 19
% 1.64/1.88
% 1.64/1.88 Learnt:
% 1.64/1.88 #66: exists( #39, #13 ), references = 1, size of lhs = 5:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V3) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #68: exists( #43, #18 ), references = 3, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), #-{F} V6 | P_append-{T}(V0,V6,V6)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #70: exists( #28, #23 ), references = 11, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_linP-{F}(V3,V7), P_linP-{F}(V4,V8) | P_cons-{T}(V2,V0,V8)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #76: mergings( V2 == V8; #73 ), references = 1, size of lhs = 8:
% 1.64/1.88 P_a-{F}(V0), P_b-{F}(V1), P_pA-{F}(V2), P_pB-{F}(V3), P_pE-{F}(V4), P_linP-{F}(V3,V5), P_nil-{F}(V5), P_cons-{F}(V0,V5,V6) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #77: exists( #44, #72 ), references = 1, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_linP-{F}(V4,V7), P_tail-{F}(V7,V8), V8 == V0 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #81: mergings( V1 == V7; #78 ), references = 1, size of lhs = 7:
% 1.64/1.88 P_a-{F}(V0), P_b-{F}(V1), P_pA-{F}(V2), P_pB-{F}(V3), P_pE-{F}(V4), P_linP-{F}(V3,V5), P_nil-{F}(V5) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #82: exists( #28, #74 ), references = 1, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_linP-{F}(V4,V6), P_tail-{F}(V6,V7), V7 == V0 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #84: exists( #27, #0 ), references = 1, size of lhs = 1:
% 1.64/1.88 P_cons-{F}(V0,V1,V2) | P_head-{T}(V2,V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #86: exists( #29, #1 ), references = 1, size of lhs = 1:
% 1.64/1.88 P_cons-{F}(V0,V1,V2) | P_tail-{T}(V2,V1)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #88: exists( #40, #16 ), references = 3, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_c2-{F}(V6,V7,V8) | P_proj1C-{T}(V8,V6)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #93: exists( #44, #90 ), references = 1, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_linP-{F}(V4,V7), P_head-{F}(V7,V8), V8 == V2 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #95: exists( #28, #92 ), references = 1, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_linP-{F}(V4,V6), P_head-{F}(V6,V7), V7 == V2 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #103: mergings( V2 == V8, V7 == V12, V3 == V10, V4 == V11; #98 ), references = 9, size of lhs = 8:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), P_cons-{F}(V1,V0,V7) | P_linP-{T}(V3,V7)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #105: exists( #43, #19 ), references = 4, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V6,V7,V8), P_append-{F}(V7,V9,V10), P_cons-{F}(V6,V10,V11) | P_append-{T}(V8,V9,V11)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #109: exists( #42, #17 ), references = 2, size of lhs = 7:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_c2-{F}(V6,V7,V8) | P_proj2C-{T}(V8,V7)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #114: exists( #44, #24 ), references = 7, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9) | P_linP-{T}(V5,V0)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #116: exists( #45, #25 ), references = 5, size of lhs = 15:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9), P_linP-{F}(V5,V10), P_linP-{F}(V11,V12), P_c2-{F}(V11,V13,V14), P_linP-{F}(V13,V15), P_append-{F}(V12,V15,V16) | P_linC-{T}(V14,V16)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #130: mergings( V3 == V14, V4 == V15, V9 == V20, V5 == V16, V10 == V21, V6 == V17, V7 == V18, V8 == V19, V11 == V22, V12 == V23, V13 == V24; #118 ), references = 1, size of lhs = 15:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_cons-{F}(V1,V0,V6), P_cons-{F}(V2,V0,V7), P_linP-{F}(V3,V8), P_linP-{F}(V4,V9), P_linP-{F}(V5,V10), P_linP-{F}(V11,V12), P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_linC-{F}(V16,V15) | P_c2-{T}(V11,V13,V16)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #152: mergings( V3 == V14, V14 == V25, V4 == V15, V9 == V20, V15 == V26, V5 == V16, V10 == V21, V16 == V27, V6 == V17, V17 == V28, V7 == V18, V18 == V29, V8 == V19, V19 == V30, V11 == V22, V12 == V23, V13 == V24; #133 ), references = 2, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_linC-{F}(V16,V15), P_proj1C-{F}(V16,V17), V17 == V11 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #170: mergings( V3 == V14, V14 == V25, V4 == V15, V9 == V20, V15 == V26, V5 == V16, V10 == V21, V16 == V27, V6 == V17, V17 == V28, V7 == V18, V18 == V29, V8 == V19, V19 == V30, V11 == V22, V12 == V23, V13 == V24; #134 ), references = 2, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_linC-{F}(V16,V15), P_proj2C-{F}(V16,V17), V17 == V13 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #196: mergings( V1 == V19, V0 == V20, V3 == V14, V14 == V21, V15 == V22, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V23, V6 == V8, V8 == V17, V17 == V24, V5 == V9, V9 == V11, V11 == V13, V13 == V18; #177 ), references = 1, size of lhs = 11:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), P_append-{F}(V0,V0,V7), P_linC-{F}(V8,V7), P_proj1C-{F}(V8,V9), V9 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #214: mergings( V1 == V19, V0 == V20, V3 == V14, V14 == V21, V15 == V22, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V23, V6 == V8, V8 == V17, V17 == V24, V5 == V9, V9 == V11, V11 == V13, V13 == V18; #178 ), references = 1, size of lhs = 11:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), P_append-{F}(V0,V0,V7), P_linC-{F}(V8,V7), P_proj2C-{F}(V8,V9), V9 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #226: mergings( V5 == V10, V6 == V11, V2 == V7, V7 == V12, V8 == V13, V0 == V14, V3 == V4, V4 == V9, V9 == V15; #215 ), references = 1, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_append-{F}(V0,V0,V6), P_linC-{F}(V7,V6), P_proj1C-{F}(V7,V8), V8 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #236: mergings( V5 == V10, V6 == V11, V2 == V7, V7 == V12, V8 == V13, V0 == V14, V3 == V4, V4 == V9, V9 == V15; #216 ), references = 1, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_append-{F}(V0,V0,V6), P_linC-{F}(V7,V6), P_proj2C-{F}(V7,V8), V8 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #260: mergings( V3 == V12, V4 == V7, V7 == V10, V10 == V14, V6 == V8, V8 == V16, V5 == V9, V9 == V11, V11 == V15; #248 ), references = 2, size of lhs = 12:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), P_linP-{F}(V7,V8), P_append-{F}(V0,V8,V9), P_linC-{F}(V10,V9), P_proj1C-{F}(V10,V11), V11 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #270: mergings( V3 == V12, V4 == V7, V7 == V10, V10 == V14, V6 == V8, V8 == V16, V5 == V9, V9 == V11, V11 == V15; #249 ), references = 1, size of lhs = 12:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), P_linP-{F}(V7,V8), P_append-{F}(V0,V8,V9), P_linC-{F}(V10,V9), P_proj2C-{F}(V10,V11), V11 == V7 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #276: mergings( V2 == V7, V3 == V4, V4 == V9; #271 ), references = 2, size of lhs = 11:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_linP-{F}(V6,V7), P_append-{F}(V0,V7,V8), P_linC-{F}(V9,V8), P_proj1C-{F}(V9,V10), V10 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #280: mergings( V2 == V7, V3 == V4, V4 == V9; #272 ), references = 2, size of lhs = 11:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_linP-{F}(V6,V7), P_append-{F}(V0,V7,V8), P_linC-{F}(V9,V8), P_proj2C-{F}(V9,V10), V10 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #296: mergings( V3 == V12, V4 == V7, V7 == V10, V10 == V14, V6 == V8, V8 == V15, V5 == V9, V9 == V11, V11 == V16; #286 ), references = 1, size of lhs = 10:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), P_linP-{F}(V4,V6), P_linC-{F}(V7,V8), P_linC-{F}(V9,V8), V7 == V9 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #335: mergings( V3 == V9, V9 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V25; #320 ), references = 1, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), V11 == V9, P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_append-{F}(V0,V16,V15), P_linP-{F}(V17,V16) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #348: mergings( V3 == V9, V9 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V25; #321 ), references = 1, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_append-{F}(V0,V16,V15), P_linP-{F}(V17,V16), V13 == V17 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #362: mergings( V3 == V9, V9 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V26, V18 == V25; #322 ), references = 1, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), V11 == V9, P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_append-{F}(V0,V16,V15), P_linP-{F}(V17,V16) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #378: mergings( V3 == V9, V9 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V25; #363 ), references = 1, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), V11 == V9, P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_append-{F}(V0,V16,V15), P_linP-{F}(V17,V16) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #391: mergings( V3 == V9, V9 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V25; #364 ), references = 1, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_append-{F}(V0,V16,V15), P_linP-{F}(V17,V16), V13 == V17 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #405: mergings( V3 == V9, V9 == V20, V4 == V10, V10 == V21, V5 == V11, V11 == V22, V6 == V12, V12 == V23, V7 == V13, V13 == V24, V8 == V14, V14 == V26, V18 == V25; #365 ), references = 1, size of lhs = 17:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_cons-{F}(V1,V0,V2), P_b-{F}(V3), P_cons-{F}(V3,V0,V4), P_pA-{F}(V5), P_linP-{F}(V5,V6), P_pB-{F}(V7), P_linP-{F}(V7,V8), P_pE-{F}(V9), P_linP-{F}(V9,V10), P_linP-{F}(V11,V12), V11 == V9, P_linP-{F}(V13,V14), P_append-{F}(V12,V14,V15), P_append-{F}(V0,V16,V15), P_linP-{F}(V17,V16) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #450: mergings( V10 == V18, V18 == V1, V1 == V29, V11 == V19, V19 == V0, V0 == V30, V3 == V12, V12 == V20, V20 == V24, V24 == V31, V13 == V21, V21 == V25, V25 == V32, V4 == V7, V7 == V14, V14 == V16, V16 == V22, V22 == V26, V26 == V33, V6 == V8, V8 == V15, V15 == V23, V23 == V27, V27 == V34, V5 == V9, V9 == V17, V17 == V28; #420 ), references = 1, size of lhs = 12:
% 1.64/1.88 P_nil-{F}(V0), P_append-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), P_linP-{F}(V7,V5), P_append-{F}(V0,V8,V5), P_linP-{F}(V9,V8), V6 == V9 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #483: mergings( V8 == V23, V23 == V1, V1 == V34, V3 == V9, V9 == V24, V24 == V0, V0 == V35, V4 == V10, V10 == V14, V14 == V25, V25 == V29, V29 == V36, V5 == V11, V11 == V26, V26 == V30, V30 == V37, V6 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V27, V27 == V31, V31 == V38, V7 == V13, V13 == V17, V17 == V19, V19 == V28, V28 == V32, V32 == V39, V16 == V20, V20 == V22, V22 == V33; #421 ), references = 1, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_append-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), V3 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #517: mergings( V8 == V23, V23 == V1, V1 == V34, V3 == V9, V9 == V24, V24 == V0, V0 == V35, V4 == V10, V10 == V14, V14 == V25, V25 == V29, V29 == V36, V5 == V11, V11 == V26, V26 == V30, V30 == V37, V6 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V27, V27 == V31, V31 == V38, V7 == V13, V13 == V17, V17 == V19, V19 == V28, V28 == V32, V32 == V40, V16 == V20, V20 == V22, V22 == V33, V33 == V39; #422 ), references = 1, size of lhs = 9:
% 1.64/1.88 P_nil-{F}(V0), P_append-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_linP-{F}(V4,V5), P_pE-{F}(V6), V3 == V6 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #545: mergings( V7 == V16, V16 == V22, V22 == V27, V2 == V8, V8 == V17, V17 == V23, V23 == V28, V3 == V9, V9 == V13, V13 == V18, V18 == V24, V24 == V29, V4 == V10, V10 == V19, V19 == V25, V25 == V30, V5 == V11, V11 == V20, V20 == V0, V6 == V12, V12 == V14, V14 == V15, V15 == V21, V21 == V26, V26 == V31; #519 ), references = 1, size of lhs = 8:
% 1.64/1.88 P_nil-{F}(V0), P_append-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), V3 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #572: mergings( V7 == V16, V16 == V22, V22 == V27, V2 == V8, V8 == V17, V17 == V23, V23 == V28, V3 == V9, V9 == V13, V13 == V18, V18 == V24, V24 == V29, V4 == V10, V10 == V19, V19 == V25, V25 == V30, V5 == V11, V11 == V20, V20 == V0, V0 == V31, V6 == V12, V12 == V14, V14 == V15, V15 == V21, V21 == V26, V26 == V32; #518 ), references = 1, size of lhs = 8:
% 1.64/1.88 P_nil-{F}(V0), P_append-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4), P_pE-{F}(V5), V3 == V5 | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #600: mergings( V9 == V15, V15 == V20, V20 == V24, V1 == V5, V5 == V10, V10 == V16, V16 == V21, V21 == V25, V2 == V6, V6 == V11, V11 == V14, V14 == V17, V17 == V22, V22 == V26, V3 == V7, V7 == V12, V12 == V18, V18 == V23, V23 == V27, V4 == V8, V8 == V13, V13 == V19, V19 == V28; #575 ), references = 1, size of lhs = 5:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3), P_pB-{F}(V4) | P_pE-{T}(V3)
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #625: mergings( V7 == V12, V12 == V16, V16 == V19, V19 == V23, V1 == V4, V4 == V8, V8 == V13, V13 == V17, V17 == V20, V20 == V24, V2 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V25, V3 == V6, V6 == V10, V10 == V15, V15 == V22, V22 == V26; #602 ), references = 1, size of lhs = 4:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_pA-{F}(V3) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #644: mergings( V5 == V9, V9 == V12, V12 == V15, V15 == V18, V1 == V3, V3 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V19, V2 == V4, V4 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20; #626 ), references = 1, size of lhs = 3:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #656: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #645 ), references = 1, size of lhs = 2:
% 1.64/1.88 P_nil-{F}(V0), P_a-{F}(V1) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #662: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #657 ), references = 1, size of lhs = 1:
% 1.64/1.88 P_nil-{F}(V0) | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 #664: exists( #30, #657 ), references = 1, size of lhs = 0:
% 1.64/1.88 FALSE | FALSE
% 1.64/1.88 (used 0 times, uses = {})
% 1.64/1.88
% 1.64/1.88 number of learnt formulas = 46
% 1.64/1.88
% 1.64/1.88
% 1.64/1.88 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.88
% 1.64/1.88 randbase = 1
%------------------------------------------------------------------------------