TSTP Solution File: PUZ025-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:14:18 EDT 2022
% Result : Unsatisfiable 4.56s 4.73s
% Output : Refutation 4.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 06:55:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.56/4.73 GeoParameters:
% 4.56/4.73
% 4.56/4.73 tptp_input = 1
% 4.56/4.73 tptp_output = 0
% 4.56/4.73 nonempty = 1
% 4.56/4.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.56/4.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.56/4.73
% 4.56/4.73
% 4.56/4.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.56/4.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.56/4.73
% 4.56/4.73 RuleSystem INPUT:
% 4.56/4.73
% 4.56/4.73 Initial Rules:
% 4.56/4.73 #0: input, references = 30, size of lhs = 2:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2) | a_truth-{T}(V1), a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1: input, references = 22, size of lhs = 4:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), a_truth-{F}(V1), a_truth-{F}(V2) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #2: input, references = 26, size of lhs = 4:
% 4.56/4.73 P_truthteller-{F}(V1,V2), P_says-{F}(V1,V0,V3), a_truth-{F}(V2), a_truth-{F}(V3) | a_truth-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #3: input, references = 21, size of lhs = 5:
% 4.56/4.73 P_liar-{F}(V0,V1), a_truth-{F}(V1), P_says-{F}(V0,V2,V3), a_truth-{F}(V3), a_truth-{F}(V2) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #4: input, references = 10, size of lhs = 4:
% 4.56/4.73 a_truth-{F}(V0), P_says-{F}(V1,V0,V2), P_truthteller-{F}(V1,V3), a_truth-{F}(V2) | a_truth-{T}(V3)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #5: input, references = 3, size of lhs = 3:
% 4.56/4.73 P_liar-{F}(V0,V1), P_says-{F}(V0,V2,V3), a_truth-{F}(V3) | a_truth-{T}(V1), a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #6: input, references = 7, size of lhs = 6:
% 4.56/4.73 P_liar-{F}(V0,V1), a_truth-{F}(V1), P_liar-{F}(V2,V3), P_equal_type-{F}(V2,V0,V4), a_truth-{F}(V3), people-{F}(V2,V0,V5) | a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #7: input, references = 5, size of lhs = 6:
% 4.56/4.73 P_truthteller-{F}(V0,V1), a_truth-{F}(V1), P_truthteller-{F}(V2,V3), P_equal_type-{F}(V2,V0,V4), a_truth-{F}(V3), people-{F}(V2,V0,V5) | a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #8: input, references = 8, size of lhs = 5:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_equal_type-{F}(V2,V0,V3), P_truthteller-{F}(V2,V4), a_truth-{F}(V3), a_truth-{F}(V4) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #9: input, references = 7, size of lhs = 5:
% 4.56/4.73 P_liar-{F}(V0,V1), P_equal_type-{F}(V2,V0,V3), P_liar-{F}(V2,V4), a_truth-{F}(V3), a_truth-{F}(V4) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #10: input, references = 4, size of lhs = 4:
% 4.56/4.73 P_liar-{F}(V0,V1), P_truthteller-{F}(V2,V3), P_equal_type-{F}(V2,V0,V4), a_truth-{F}(V3) | a_truth-{T}(V1), a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #11: input, references = 4, size of lhs = 4:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V2,V3), P_equal_type-{F}(V2,V0,V4), a_truth-{F}(V3) | a_truth-{T}(V1), a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #12: input, references = 7, size of lhs = 3:
% 4.56/4.73 P_equal_type-{F}(V0,V1,V2), P_equal_type-{F}(V1,V0,V3), a_truth-{F}(V2) | a_truth-{T}(V3)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #13: input, references = 4, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), a_truth-{F}(V1), P_truthteller-{F}(V2,V3), ask_1_if_2-{F}(V2,V1), a_truth-{F}(V3) | answer-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #14: input, references = 3, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_truthteller-{F}(V3,V4), ask_1_if_2-{F}(V3,V2), a_truth-{F}(V4) | answer-{T}(V1), a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #15: input, references = 4, size of lhs = 6:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), a_truth-{F}(V2), P_liar-{F}(V3,V4), ask_1_if_2-{F}(V3,V2), a_truth-{F}(V4) | answer-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #16: input, references = 6, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_liar-{F}(V3,V4), ask_1_if_2-{F}(V3,V2), a_truth-{F}(V4) | answer-{T}(V0), a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #17: input, references = 5, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V2,V3,V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #18: input, references = 4, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V4,V2,V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #19: input, references = 4, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V4,V3,V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #20: input, references = 3, size of lhs = 5:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V3,V2,V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #21: input, references = 11, size of lhs = 7:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), P_says-{F}(V4,V5,V6) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #22: input, references = 13, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), P_says-{F}(V4,V5,V6), P_equal_type-{F}(V4,V2,V7) | ask_1_if_2-{T}(V3,V7)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #23: input, references = 7, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), P_says-{F}(V4,V5,V6), P_equal_type-{F}(V4,V2,V7), answer-{F}(V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #24: input, references = 14, size of lhs = 1:
% 4.56/4.73 #-{F} V0 | EXISTS V1: P_truthteller-{T}(V0,V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #25: input, references = 36, size of lhs = 1:
% 4.56/4.73 #-{F} V0 | EXISTS V1: P_liar-{T}(V0,V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #26: input, references = 13, size of lhs = 2:
% 4.56/4.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_says-{T}(V0,V1,V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #27: input, references = 12, size of lhs = 2:
% 4.56/4.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_equal_type-{T}(V0,V1,V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #28: input, references = 4, size of lhs = 0:
% 4.56/4.73 FALSE | EXISTS V0: P_yes-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #29: input, references = 4, size of lhs = 0:
% 4.56/4.73 FALSE | EXISTS V0: P_no-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #30: input, references = 4, size of lhs = 0:
% 4.56/4.73 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #31: input, references = 4, size of lhs = 0:
% 4.56/4.73 FALSE | EXISTS V0: P_c-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #32: input, references = 5, size of lhs = 0:
% 4.56/4.73 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 number of initial rules = 33
% 4.56/4.73
% 4.56/4.73 Simplifiers:
% 4.56/4.73 #33: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 ask_1_if_2-{F}(V0,V1), ask_1_if_2-{F}(V2,V3), V0 == V2 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #34: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_truthteller-{F}(V0,V3), V1 == V3 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #35: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_liar-{F}(V0,V1), P_liar-{F}(V0,V3), V1 == V3 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #36: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_says-{F}(V0,V1,V2), P_says-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #37: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_equal_type-{F}(V0,V1,V2), P_equal_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #38: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_yes-{F}(V0), P_yes-{F}(V1), V0 == V1 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #39: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_no-{F}(V0), P_no-{F}(V1), V0 == V1 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #40: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #41: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #42: unsound, references = 3, size of lhs = 3:
% 4.56/4.73 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 number of simplifiers = 10
% 4.56/4.73
% 4.56/4.73 Learnt:
% 4.56/4.73 #45: disj( #0, input ), references = 1, size of lhs = 4:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_liar-{F}(V3,V1) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #46: disj( #0, input ), references = 1, size of lhs = 4:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V1), P_says-{F}(V3,V1,V1) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #56: disj( #0, #2+#1 ), references = 1, size of lhs = 6:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_liar-{F}(V4,V1), P_truthteller-{F}(V4,V5), P_says-{F}(V3,V5,V1) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #60: disj( #0, input ), references = 14, size of lhs = 5:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), P_liar-{F}(V1,V2), P_truthteller-{F}(V3,V2), P_liar-{F}(V3,V4) | a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #64: disj( #0, input ), references = 6, size of lhs = 6:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5) | a_truth-{T}(V5)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #69: disj( #0, input ), references = 5, size of lhs = 5:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_liar-{F}(V3,V2), P_truthteller-{F}(V3,V4) | a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #70: disj( #0, input ), references = 1, size of lhs = 5:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), P_says-{F}(V1,V2,V2), P_liar-{F}(V3,V2), P_truthteller-{F}(V3,V4) | a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #81: exists( #26, #79 ), references = 6, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), a_truth-{F}(V5), a_truth-{F}(V6), P_liar-{F}(V4,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #84: exists( #27, #82 ), references = 5, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_truthteller-{F}(V4,V1), P_c-{F}(V5), P_truthteller-{F}(V5,V0), people-{F}(V4,V5,V6), P_a-{F}(V7), a_truth-{F}(V8), P_liar-{F}(V7,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #96: disj( #10, input ), references = 3, size of lhs = 7:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), a_truth-{F}(V2), P_truthteller-{F}(V3,V2), P_liar-{F}(V3,V4), P_liar-{F}(V5,V4), P_equal_type-{F}(V1,V5,V6) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #97: disj( #10, input ), references = 1, size of lhs = 8:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), a_truth-{F}(V2), a_truth-{F}(V3), P_says-{F}(V4,V3,V2), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_equal_type-{F}(V1,V6,V7) | a_truth-{T}(V7)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #98: disj( #10, exists( #26, #79 ) ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_a-{F}(V6), P_equal_type-{F}(V4,V5,V7), a_truth-{F}(V7), P_liar-{F}(V6,V8), P_liar-{F}(V9,V8), P_equal_type-{F}(V1,V9,V10) | a_truth-{T}(V10)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #108: disj( #0, exists( #26, #79 ) ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7) | a_truth-{T}(V7)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #121: disj( #0, #69+#84 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_liar-{F}(V8,V7), P_truthteller-{F}(V8,V9), P_c-{F}(V10), P_truthteller-{F}(V10,V3), people-{F}(V2,V10,V11), P_a-{F}(V12), P_liar-{F}(V12,V7) | a_truth-{T}(V9)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #122: disj( #0, #9+#1 ), references = 1, size of lhs = 7:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_equal_type-{F}(V3,V4,V2), P_liar-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V2) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #169: disj( #0, #6+#1 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_liar-{F}(V4,V2), P_equal_type-{F}(V4,V3,V5), people-{F}(V4,V3,V6), P_truthteller-{F}(V7,V5), P_liar-{F}(V7,V2) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #170: disj( #0, #6+#3 ), references = 1, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V3,V2), P_truthteller-{F}(V4,V5), P_liar-{F}(V4,V6), P_liar-{F}(V7,V6), P_liar-{F}(V8,V6), P_equal_type-{F}(V8,V7,V3), people-{F}(V8,V7,V9) | a_truth-{T}(V5)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #171: disj( #0, #6+#81 ), references = 4, size of lhs = 14:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_equal_type-{F}(V2,V3,V4), P_a-{F}(V5), a_truth-{F}(V6), P_liar-{F}(V5,V6), P_truthteller-{F}(V7,V8), P_liar-{F}(V7,V9), P_liar-{F}(V10,V9), P_liar-{F}(V11,V9), P_equal_type-{F}(V11,V10,V4), people-{F}(V11,V10,V12) | a_truth-{T}(V8)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #191: disj( #0, #96+#1 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_truthteller-{F}(V4,V1), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_equal_type-{F}(V3,V6,V7), P_liar-{F}(V8,V7), P_truthteller-{F}(V8,V1) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #192: disj( #0, #96+#3 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_truthteller-{F}(V4,V1), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_equal_type-{F}(V3,V6,V7), P_liar-{F}(V8,V7), P_says-{F}(V8,V1,V1) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #205: exists( #27, #201 ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V1), P_c-{F}(V5), P_liar-{F}(V5,V0), people-{F}(V4,V5,V6), P_a-{F}(V7), a_truth-{F}(V8), P_liar-{F}(V7,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #206: exists( #27, #199 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), a_truth-{F}(V5), P_liar-{F}(V4,V5), a_truth-{F}(V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), P_liar-{F}(V9,V10), P_liar-{F}(V3,V10), P_liar-{F}(V2,V10), people-{F}(V2,V3,V11) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #207: exists( #27, #200 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), a_truth-{F}(V5), P_liar-{F}(V4,V5), a_truth-{F}(V6), P_liar-{F}(V7,V6), P_liar-{F}(V3,V8), P_liar-{F}(V2,V8), P_liar-{F}(V9,V8), P_truthteller-{F}(V9,V10), P_says-{F}(V7,V10,V10), people-{F}(V2,V3,V11) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #219: mergings( V3 == V7, V4 == V8, V0 == V9, V1 == V14, V5 == V16, V6 == V17; #212 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_liar-{F}(V2,V5), P_c-{F}(V6), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V3), people-{F}(V2,V6,V7), people-{F}(V2,V6,V8), P_a-{F}(V9), a_truth-{F}(V10), P_liar-{F}(V9,V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #227: mergings( V2 == V6, V3 == V7, V0 == V8, V8 == V11, V4 == V13, V5 == V14; #220 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), people-{F}(V2,V2,V3), P_truthteller-{F}(V2,V4), people-{F}(V2,V2,V5), P_a-{F}(V6), a_truth-{F}(V7), P_liar-{F}(V6,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #233: mergings( V2 == V6, V3 == V7, V4 == V10, V5 == V11; #228 ), references = 2, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), people-{F}(V2,V2,V3), people-{F}(V2,V2,V4), P_a-{F}(V5), a_truth-{F}(V6), P_liar-{F}(V5,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #281: mergings( V3 == V8, V8 == V10, V4 == V11, V5 == V12, V7 == V14, V6 == V13; #274 ), references = 2, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_truthteller-{F}(V5,V1), P_equal_type-{F}(V4,V5,V6), P_a-{F}(V7), P_equal_type-{F}(V7,V4,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #288: disj( #0, mergings( V2 == V6, V3 == V7, V4 == V10, V5 == V11; #228 ) ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), people-{F}(V2,V2,V3), people-{F}(V2,V2,V4), P_a-{F}(V5), P_liar-{F}(V5,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8) | a_truth-{T}(V8)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #293: exists( #27, #281 ), references = 5, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_truthteller-{F}(V5,V1), P_a-{F}(V6), P_equal_type-{F}(V6,V4,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #296: exists( #27, #294 ), references = 4, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), a_truth-{F}(V2), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_truthteller-{F}(V5,V0), P_c-{F}(V6), P_truthteller-{F}(V6,V2), P_a-{F}(V7), P_truthteller-{F}(V7,V1), people-{F}(V7,V5,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #317: disj( #16, input ), references = 2, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), a_truth-{F}(V2), P_liar-{F}(V3,V2), ask_1_if_2-{F}(V3,V4), a_truth-{F}(V5), P_liar-{F}(V6,V5), a_truth-{F}(V7), P_says-{F}(V6,V7,V4) | answer-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #335: disj( #16, input ), references = 2, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), a_truth-{F}(V2), P_liar-{F}(V3,V2), ask_1_if_2-{F}(V3,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), a_truth-{F}(V6) | answer-{T}(V0)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #355: mergings( V0 == V5, V1 == V6; #352 ), references = 8, size of lhs = 11:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), ask_1_if_2-{F}(V1,V2), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_a-{F}(V7), P_equal_type-{F}(V5,V6,V8), P_says-{F}(V7,V8,V9), P_equal_type-{F}(V7,V5,V10) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #377: disj( #11, input ), references = 7, size of lhs = 7:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_liar-{F}(V3,V2), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_equal_type-{F}(V1,V5,V6) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #378: disj( #11, input ), references = 1, size of lhs = 8:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_liar-{F}(V3,V2), a_truth-{F}(V4), P_says-{F}(V3,V4,V5), P_truthteller-{F}(V6,V5), P_equal_type-{F}(V1,V6,V7) | a_truth-{T}(V7)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #416: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #408 ), references = 2, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), a_truth-{F}(V8), P_liar-{F}(V9,V8), a_truth-{F}(V10), P_says-{F}(V9,V10,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #424: mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15, V5 == V16, V7 == V18, V6 == V17; #409 ), references = 2, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), a_truth-{F}(V3), P_says-{F}(V2,V3,V4), P_yes-{F}(V5), P_no-{F}(V6), P_b-{F}(V7), P_c-{F}(V8), P_liar-{F}(V8,V0), P_equal_type-{F}(V7,V8,V9), P_a-{F}(V10), P_equal_type-{F}(V10,V7,V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #455: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #447 ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), a_truth-{F}(V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #497: mergings( V5 == V6; #493 ), references = 1, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V5,V3), P_truthteller-{F}(V5,V6), a_truth-{F}(V7), P_liar-{F}(V8,V7), P_says-{F}(V8,V6,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #499: mergings( V5 == V6; #494 ), references = 1, size of lhs = 19:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V5,V3), P_truthteller-{F}(V5,V6), a_truth-{F}(V7), P_yes-{F}(V8), P_no-{F}(V9), P_b-{F}(V10), P_c-{F}(V11), P_liar-{F}(V11,V7), P_equal_type-{F}(V10,V11,V12), P_a-{F}(V13), P_equal_type-{F}(V13,V10,V14), a_truth-{F}(V15), P_liar-{F}(V16,V15), P_says-{F}(V16,V6,V14) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #501: mergings( V5 == V6; #495 ), references = 1, size of lhs = 19:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V5,V3), P_truthteller-{F}(V5,V6), a_truth-{F}(V7), a_truth-{F}(V8), P_liar-{F}(V9,V8), P_says-{F}(V9,V6,V10), P_yes-{F}(V11), P_no-{F}(V12), P_b-{F}(V13), P_c-{F}(V14), P_liar-{F}(V14,V7), P_equal_type-{F}(V13,V14,V15), P_a-{F}(V16), P_equal_type-{F}(V16,V13,V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #518: disj( #0, input ), references = 1, size of lhs = 5:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), P_says-{F}(V1,V2,V2), P_truthteller-{F}(V3,V2), P_liar-{F}(V3,V4) | a_truth-{T}(V4)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #519: disj( #0, mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #408 ) ), references = 1, size of lhs = 14:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), a_truth-{F}(V8), P_liar-{F}(V9,V8), P_says-{F}(V9,V10,V7), P_truthteller-{F}(V11,V10), P_liar-{F}(V11,V12) | a_truth-{T}(V12)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #520: disj( #0, mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15, V5 == V16, V7 == V18, V6 == V17; #409 ) ), references = 1, size of lhs = 14:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_liar-{F}(V6,V0), P_equal_type-{F}(V5,V6,V7), P_a-{F}(V8), P_equal_type-{F}(V8,V5,V9), P_says-{F}(V2,V10,V9), P_truthteller-{F}(V11,V10), P_liar-{F}(V11,V12) | a_truth-{T}(V12)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #539: disj( #0, mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #447 ) ), references = 1, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_liar-{F}(V10,V9), P_truthteller-{F}(V10,V11) | a_truth-{T}(V11)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #540: disj( #0, input ), references = 5, size of lhs = 6:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5) | a_truth-{T}(V5)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #551: mergings( V9 == V10; #547 ), references = 1, size of lhs = 17:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), P_truthteller-{F}(V8,V7), a_truth-{F}(V9), P_truthteller-{F}(V10,V9), P_equal_type-{F}(V10,V11,V7), P_truthteller-{F}(V11,V12), P_liar-{F}(V13,V12), P_truthteller-{F}(V13,V14), a_truth-{F}(V14) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #559: mergings( V9 == V10, V3 == V15, V4 == V16, V5 == V17, V6 == V18, V7 == V20, V8 == V19; #548 ), references = 1, size of lhs = 16:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_truthteller-{F}(V2,V1), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_liar-{F}(V6,V0), P_a-{F}(V7), P_equal_type-{F}(V7,V5,V8), P_truthteller-{F}(V9,V8), P_equal_type-{F}(V2,V10,V8), P_truthteller-{F}(V10,V11), P_liar-{F}(V7,V11), P_equal_type-{F}(V5,V6,V12), a_truth-{F}(V12) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #566: mergings( V9 == V10, V3 == V15, V4 == V16, V5 == V17, V6 == V17, V8 == V20; #549 ), references = 1, size of lhs = 17:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_truthteller-{F}(V2,V1), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_liar-{F}(V5,V0), P_c-{F}(V5), P_equal_type-{F}(V5,V5,V6), people-{F}(V5,V5,V7), people-{F}(V5,V5,V8), P_a-{F}(V9), P_equal_type-{F}(V9,V5,V10), P_truthteller-{F}(V11,V10), P_equal_type-{F}(V2,V12,V10), P_truthteller-{F}(V12,V13), P_liar-{F}(V9,V13) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #616: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #608 ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), P_liar-{F}(V8,V7), P_truthteller-{F}(V8,V9), a_truth-{F}(V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #624: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V15, V7 == V17, V6 == V16; #609 ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_truthteller-{F}(V2,V1), P_liar-{F}(V2,V3), P_yes-{F}(V4), P_no-{F}(V5), P_b-{F}(V6), P_c-{F}(V7), P_liar-{F}(V7,V0), P_equal_type-{F}(V6,V7,V8), P_a-{F}(V9), P_equal_type-{F}(V9,V6,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #651: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #645 ), references = 1, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), a_truth-{F}(V8), P_liar-{F}(V9,V8), P_says-{F}(V9,V7,V10), a_truth-{F}(V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #678: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #670 ), references = 1, size of lhs = 16:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), a_truth-{F}(V8), P_truthteller-{F}(V9,V8), P_equal_type-{F}(V9,V10,V7), P_truthteller-{F}(V10,V11), P_liar-{F}(V12,V11), P_truthteller-{F}(V12,V13), a_truth-{F}(V13) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #692: mergings( V8 == V16, V3 == V9, V9 == V14, V14 == V17, V4 == V10, V10 == V15, V15 == V18, V5 == V11, V7 == V13, V11 == V19, V13 == V21, V6 == V12, V12 == V20; #671 ), references = 1, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #698: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V13, V6 == V12; #672 ), references = 1, size of lhs = 17:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_equal_type-{F}(V6,V3,V7), a_truth-{F}(V8), P_truthteller-{F}(V9,V8), P_equal_type-{F}(V9,V10,V7), P_truthteller-{F}(V10,V11), P_liar-{F}(V12,V11), a_truth-{F}(V13), a_truth-{F}(V14), P_says-{F}(V12,V14,V13) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #705: mergings( V9 == V10, V3 == V6, V4 == V7; #699 ), references = 1, size of lhs = 15:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_a-{F}(V5), P_equal_type-{F}(V5,V3,V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_equal_type-{F}(V8,V9,V6), P_truthteller-{F}(V9,V10), P_liar-{F}(V11,V10), P_truthteller-{F}(V11,V12), a_truth-{F}(V12) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #715: mergings( V5 == V10, V14 == V15, V15 == V16, V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12; #700 ), references = 1, size of lhs = 8:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_a-{F}(V5), P_equal_type-{F}(V5,V3,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #719: mergings( V9 == V10, V3 == V6, V4 == V7; #701 ), references = 1, size of lhs = 16:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_a-{F}(V5), P_equal_type-{F}(V5,V3,V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_equal_type-{F}(V8,V9,V6), P_truthteller-{F}(V9,V10), P_liar-{F}(V11,V10), a_truth-{F}(V12), a_truth-{F}(V13), P_says-{F}(V11,V13,V12) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #725: mergings( V3 == V6, V4 == V7; #720 ), references = 1, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_a-{F}(V5), a_truth-{F}(V6), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V3,V7), P_liar-{F}(V8,V7), P_truthteller-{F}(V8,V9), a_truth-{F}(V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #733: mergings( V5 == V10, V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12; #721 ), references = 4, size of lhs = 7:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_liar-{F}(V4,V0), P_a-{F}(V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #746: mergings( V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12; #737 ), references = 1, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), P_liar-{F}(V1,V2), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_truthteller-{F}(V6,V2), P_a-{F}(V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #749: mergings( V5 == V7, V6 == V8; #738 ), references = 1, size of lhs = 15:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), P_liar-{F}(V1,V2), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_truthteller-{F}(V6,V2), P_a-{F}(V7), a_truth-{F}(V8), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V5,V9), P_liar-{F}(V10,V9), P_truthteller-{F}(V10,V11), a_truth-{F}(V11) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #752: mergings( V5 == V7, V6 == V8; #739 ), references = 1, size of lhs = 16:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V0), P_liar-{F}(V1,V2), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_truthteller-{F}(V6,V2), P_a-{F}(V7), a_truth-{F}(V8), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V5,V9), P_liar-{F}(V10,V9), a_truth-{F}(V11), a_truth-{F}(V12), P_says-{F}(V10,V12,V11) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #787: exists( #26, #782 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), P_liar-{F}(V4,V5), a_truth-{F}(V6), P_truthteller-{F}(V4,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #788: exists( #26, #781 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), a_truth-{F}(V6), P_truthteller-{F}(V4,V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #794: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V0 == V12; #786 ), references = 1, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_equal_type-{F}(V3,V4,V5), P_a-{F}(V6), P_truthteller-{F}(V6,V0), P_liar-{F}(V6,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #804: disj( #0, exists( #27, #294 ) ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_c-{F}(V7), P_truthteller-{F}(V7,V4), P_a-{F}(V8), P_truthteller-{F}(V8,V0), people-{F}(V8,V3,V9) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #812: mergings( V3 == V10, V4 == V11, V5 == V12, V7 == V0, V8 == V13; #806 ), references = 2, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_c-{F}(V5), P_truthteller-{F}(V5,V4), P_a-{F}(V6), P_truthteller-{F}(V6,V0), people-{F}(V6,V3,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #818: mergings( V3 == V7, V4 == V8, V0 == V9, V5 == V10; #813 ), references = 1, size of lhs = 8:
% 4.56/4.73 a_truth-{F}(V0), P_c-{F}(V1), P_b-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V4,V0), people-{F}(V4,V1,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #829: mergings( V2 == V8, V8 == V13, V3 == V9, V9 == V14, V4 == V10, V10 == V15, V0 == V11, V11 == V16; #820 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_c-{F}(V0), P_b-{F}(V0), people-{F}(V0,V0,V1), people-{F}(V0,V0,V2), P_yes-{F}(V3), P_no-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), people-{F}(V5,V0,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #838: mergings( V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13, V0 == V14; #830 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_c-{F}(V0), P_b-{F}(V0), people-{F}(V0,V0,V1), people-{F}(V0,V0,V2), P_yes-{F}(V3), P_no-{F}(V4), P_a-{F}(V5), people-{F}(V5,V0,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #853: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V12, V2 == V4, V4 == V7, V7 == V10, V10 == V13, V5 == V8, V8 == V11, V11 == V14; #841 ), references = 1, size of lhs = 4:
% 4.56/4.73 P_c-{F}(V0), P_b-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #867: exists( #25, #863 ), references = 2, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_yes-{F}(V4), P_no-{F}(V5), P_b-{F}(V6), P_c-{F}(V7), P_truthteller-{F}(V7,V3), P_a-{F}(V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #904: disj( #0, mergings( V5 == V10, V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12; #721 ) ), references = 40, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_a-{F}(V7) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #905: disj( #0, mergings( V5 == V10, V14 == V15, V15 == V16, V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12; #700 ) ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_a-{F}(V7), P_equal_type-{F}(V7,V2,V8) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #906: disj( #0, input ), references = 2, size of lhs = 5:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V2), P_liar-{F}(V1,V3), P_liar-{F}(V4,V3), P_says-{F}(V4,V0,V3) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #916: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12, V6 == V13; #909 ), references = 4, size of lhs = 11:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_a-{F}(V7), P_truthteller-{F}(V7,V1), people-{F}(V7,V4,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #922: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11; #917 ), references = 10, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_a-{F}(V6), P_truthteller-{F}(V6,V1), people-{F}(V6,V4,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #940: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V10, V6 == V11; #932 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V3), P_a-{F}(V5), P_truthteller-{F}(V5,V3), people-{F}(V5,V2,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #947: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V11, V5 == V10, V6 == V12; #933 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V3), P_a-{F}(V5), P_truthteller-{F}(V5,V3), people-{F}(V5,V2,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #954: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V10, V5 == V11, V6 == V12; #934 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V3), P_a-{F}(V5), P_truthteller-{F}(V5,V3), people-{F}(V5,V2,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #965: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V10, V6 == V11; #959 ), references = 1, size of lhs = 7:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_equal_type-{F}(V5,V2,V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #980: mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V12, V6 == V13; #972 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_says-{F}(V6,V3,V5), P_a-{F}(V7), P_truthteller-{F}(V7,V3), people-{F}(V7,V2,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #987: mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V12, V5 == V13, V6 == V14; #973 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_says-{F}(V6,V3,V5), P_a-{F}(V7), P_truthteller-{F}(V7,V3), people-{F}(V7,V2,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #993: mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V12, V6 == V13; #974 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_says-{F}(V6,V3,V5), P_a-{F}(V7), P_truthteller-{F}(V7,V3), people-{F}(V7,V2,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1004: disj( #0, #2+#922 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V3), people-{F}(V5,V2,V6), P_truthteller-{F}(V7,V8), P_liar-{F}(V7,V9), P_truthteller-{F}(V10,V8), P_says-{F}(V10,V3,V8) | a_truth-{T}(V9)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1012: exists( #27, #1010 ), references = 3, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), P_truthteller-{F}(V2,V3), a_truth-{F}(V4), P_yes-{F}(V5), P_no-{F}(V6), P_b-{F}(V7), P_truthteller-{F}(V7,V3), P_c-{F}(V8), P_truthteller-{F}(V8,V4), P_a-{F}(V9), P_liar-{F}(V9,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1031: mergings( V2 == V11, V3 == V12, V4 == V13, V0 == V14, V6 == V15; #1024 ), references = 2, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), P_truthteller-{F}(V2,V3), P_yes-{F}(V4), P_no-{F}(V5), P_b-{F}(V6), P_truthteller-{F}(V6,V3), P_c-{F}(V7), P_truthteller-{F}(V7,V8), P_a-{F}(V9), P_liar-{F}(V9,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1037: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13; #1032 ), references = 4, size of lhs = 11:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), P_truthteller-{F}(V2,V3), P_yes-{F}(V4), P_no-{F}(V5), P_b-{F}(V6), P_truthteller-{F}(V6,V3), P_c-{F}(V7), P_a-{F}(V8), P_liar-{F}(V8,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1072: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12, V6 == V13; #1064 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_c-{F}(V6), P_truthteller-{F}(V6,V5), P_a-{F}(V7), P_liar-{F}(V7,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1079: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12, V5 == V13, V6 == V14; #1065 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_c-{F}(V6), P_truthteller-{F}(V6,V5), P_a-{F}(V7), P_liar-{F}(V7,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1085: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12, V6 == V13; #1066 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_c-{F}(V6), P_truthteller-{F}(V6,V5), P_a-{F}(V7), P_liar-{F}(V7,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1101: exists( #25, #1099 ), references = 1, size of lhs = 13:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_liar-{F}(V6,V4), P_liar-{F}(V7,V4), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), P_equal_type-{F}(V6,V9,V10), P_liar-{F}(V11,V4), P_says-{F}(V11,V4,V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1122: disj( #0, #377+#3 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_liar-{F}(V4,V2), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_equal_type-{F}(V3,V6,V7), P_liar-{F}(V8,V2), P_says-{F}(V8,V2,V7) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1123: disj( #0, #4+#1 ), references = 1, size of lhs = 6:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_says-{F}(V3,V2,V2), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V2) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1140: mergings( V2 == V11, V3 == V12, V4 == V13, V0 == V14, V6 == V15; #1134 ), references = 1, size of lhs = 13:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_c-{F}(V6), P_truthteller-{F}(V6,V7), P_liar-{F}(V8,V7), P_says-{F}(V8,V7,V5), P_a-{F}(V9), P_truthteller-{F}(V9,V3), people-{F}(V9,V2,V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1156: disj( #0, #540+#1 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_says-{F}(V3,V2,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V2) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1157: disj( #0, #540+#922 ), references = 1, size of lhs = 14:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_c-{F}(V6), P_a-{F}(V7), P_truthteller-{F}(V7,V3), people-{F}(V7,V2,V8), P_truthteller-{F}(V9,V10), P_liar-{F}(V9,V11), P_liar-{F}(V12,V11), P_says-{F}(V12,V11,V5) | a_truth-{T}(V10)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1158: disj( #0, #377+#540+#3 ), references = 1, size of lhs = 13:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_liar-{F}(V4,V2), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_equal_type-{F}(V3,V6,V7), P_liar-{F}(V8,V2), P_says-{F}(V8,V2,V9), P_liar-{F}(V10,V9), P_truthteller-{F}(V10,V11), P_liar-{F}(V12,V2), P_says-{F}(V12,V7,V11) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1184: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V11, V6 == V12; #1176 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_a-{F}(V6), P_truthteller-{F}(V6,V3), people-{F}(V6,V2,V7), P_equal_type-{F}(V8,V9,V5), P_equal_type-{F}(V9,V8,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1191: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V11, V5 == V12, V6 == V13; #1177 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_a-{F}(V6), P_truthteller-{F}(V6,V3), people-{F}(V6,V2,V7), P_equal_type-{F}(V8,V9,V5), P_equal_type-{F}(V9,V8,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1197: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V11, V6 == V12; #1178 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_a-{F}(V6), P_truthteller-{F}(V6,V3), people-{F}(V6,V2,V7), P_equal_type-{F}(V8,V9,V5), P_equal_type-{F}(V9,V8,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1214: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V10, V6 == V11; #1208 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_equal_type-{F}(V5,V2,V6), P_equal_type-{F}(V7,V8,V4), P_equal_type-{F}(V8,V7,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1234: disj( #0, #64+#1037 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_c-{F}(V8), P_a-{F}(V9), P_liar-{F}(V9,V5), P_truthteller-{F}(V10,V11), P_liar-{F}(V10,V12), P_liar-{F}(V13,V12), P_says-{F}(V13,V12,V7) | a_truth-{T}(V11)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1259: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V14, V6 == V15; #1253 ), references = 1, size of lhs = 13:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_c-{F}(V7), P_truthteller-{F}(V7,V8), P_says-{F}(V6,V8,V5), P_a-{F}(V9), P_truthteller-{F}(V9,V3), people-{F}(V9,V2,V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1266: disj( #0, mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11; #917 ) ), references = 2, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_c-{F}(V6), P_a-{F}(V7), P_truthteller-{F}(V7,V3), people-{F}(V7,V2,V8) | a_truth-{T}(V5)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1278: mergings( V5 == V9, V2 == V10, V3 == V11, V4 == V12, V6 == V13, V7 == V0; #1271 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V3), people-{F}(V5,V2,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1283: mergings( V2 == V6, V3 == V7, V4 == V8; #1279 ), references = 1, size of lhs = 6:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_a-{F}(V2), people-{F}(V2,V2,V3), P_c-{F}(V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1335: exists( #25, #1329 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_says-{F}(V6,V4,V4), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_truthteller-{F}(V9,V7), P_liar-{F}(V9,V10), P_says-{F}(V8,V10,V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1336: exists( #25, #1330 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_says-{F}(V6,V4,V4), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_says-{F}(V9,V4,V4), P_liar-{F}(V9,V10), P_says-{F}(V8,V10,V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1343: mergings( V2 == V10, V3 == V11, V4 == V12, V0 == V13, V5 == V14, V6 == V17; #1334 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_says-{F}(V5,V4,V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_says-{F}(V8,V4,V4), P_liar-{F}(V8,V9), P_says-{F}(V7,V9,V4), P_a-{F}(V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1356: exists( #25, #1350 ), references = 1, size of lhs = 14:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_truthteller-{F}(V6,V4), P_liar-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_truthteller-{F}(V10,V4), P_truthteller-{F}(V11,V4), P_liar-{F}(V11,V12), P_says-{F}(V10,V12,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1357: exists( #25, #1351 ), references = 1, size of lhs = 14:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_truthteller-{F}(V6,V4), P_liar-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_truthteller-{F}(V10,V4), P_says-{F}(V10,V11,V9), P_liar-{F}(V12,V11), P_says-{F}(V12,V11,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1363: mergings( V2 == V12, V3 == V13, V4 == V14, V0 == V16, V6 == V17; #1355 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_truthteller-{F}(V10,V5), P_says-{F}(V10,V3,V9), P_a-{F}(V11), P_truthteller-{F}(V11,V5), people-{F}(V11,V2,V12) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1389: disj( #0, #60+#2+#3 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_liar-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_truthteller-{F}(V7,V1), P_says-{F}(V7,V8,V6), P_liar-{F}(V9,V8), P_says-{F}(V9,V8,V6) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1390: disj( #0, #60+#2+#1 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_liar-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_truthteller-{F}(V7,V1), P_truthteller-{F}(V8,V1), P_liar-{F}(V8,V9), P_says-{F}(V7,V9,V6) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1391: disj( #0, #60+#2+#922 ), references = 1, size of lhs = 16:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_truthteller-{F}(V9,V6), P_liar-{F}(V9,V10), P_truthteller-{F}(V11,V10), P_liar-{F}(V11,V12), P_truthteller-{F}(V13,V6), P_says-{F}(V13,V3,V12), people-{F}(V5,V2,V14) | a_truth-{T}(V8)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1419: disj( #0, exists( #25, #863 ) ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), P_truthteller-{F}(V6,V7), P_liar-{F}(V6,V8), P_liar-{F}(V9,V8), P_says-{F}(V9,V8,V4) | a_truth-{T}(V7)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1420: disj( #0, input ), references = 1, size of lhs = 5:
% 4.56/4.73 a_truth-{F}(V0), P_truthteller-{F}(V1,V2), P_liar-{F}(V1,V3), P_liar-{F}(V4,V3), P_says-{F}(V4,V3,V0) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1432: exists( #25, #1428 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), P_says-{F}(V7,V8,V4), P_liar-{F}(V9,V8), P_says-{F}(V9,V8,V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1433: exists( #25, #1427 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_a-{F}(V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), a_truth-{F}(V8), P_truthteller-{F}(V9,V8), P_liar-{F}(V9,V10), P_says-{F}(V7,V10,V4) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1469: exists( #26, #1467 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), a_truth-{F}(V6), P_truthteller-{F}(V4,V6), a_truth-{F}(V7), P_liar-{F}(V8,V7), a_truth-{F}(V9), P_says-{F}(V8,V9,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1522: exists( #26, #1517 ), references = 1, size of lhs = 13:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), a_truth-{F}(V6), P_truthteller-{F}(V4,V6), a_truth-{F}(V7), P_liar-{F}(V8,V7), P_equal_type-{F}(V8,V9,V5), P_liar-{F}(V9,V10), P_liar-{F}(V4,V10) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1523: exists( #26, #1516 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_equal_type-{F}(V2,V3,V5), a_truth-{F}(V6), P_truthteller-{F}(V4,V6), a_truth-{F}(V7), P_liar-{F}(V8,V7), a_truth-{F}(V9), P_truthteller-{F}(V10,V9), P_liar-{F}(V10,V11), P_liar-{F}(V12,V11), P_equal_type-{F}(V8,V12,V5) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1529: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V0 == V16; #1521 ), references = 1, size of lhs = 13:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), P_yes-{F}(V3), P_no-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_equal_type-{F}(V5,V6,V7), P_liar-{F}(V6,V8), P_liar-{F}(V9,V8), P_equal_type-{F}(V2,V9,V7), P_a-{F}(V10), P_truthteller-{F}(V10,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1533: exists( #27, #1519 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V4,V5), a_truth-{F}(V6), P_liar-{F}(V2,V6), P_liar-{F}(V3,V7), P_liar-{F}(V4,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1534: exists( #27, #1520 ), references = 3, size of lhs = 13:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V4,V5), a_truth-{F}(V6), P_liar-{F}(V2,V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_liar-{F}(V3,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1540: mergings( V3 == V8, V4 == V9, V0 == V10, V1 == V11, V5 == V13; #1532 ), references = 5, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V1), P_c-{F}(V5), P_liar-{F}(V5,V6), P_a-{F}(V7), P_truthteller-{F}(V7,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1553: mergings( V2 == V11, V3 == V12, V4 == V13, V6 == V14; #1547 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_c-{F}(V8), P_truthteller-{F}(V8,V7), P_a-{F}(V9), P_truthteller-{F}(V9,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1562: mergings( V2 == V11, V11 == V15, V3 == V12, V12 == V16, V4 == V13, V13 == V17, V6 == V14, V14 == V18; #1548 ), references = 1, size of lhs = 12:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_c-{F}(V8), P_truthteller-{F}(V8,V7), P_a-{F}(V9), P_truthteller-{F}(V9,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1580: disj( #0, #60+#1540 ), references = 1, size of lhs = 14:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_c-{F}(V10), P_liar-{F}(V10,V11), P_a-{F}(V12), P_truthteller-{F}(V12,V7) | a_truth-{T}(V9)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1581: disj( #0, #60+#1534 ), references = 1, size of lhs = 17:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_c-{F}(V10), P_a-{F}(V11), P_truthteller-{F}(V11,V7), a_truth-{F}(V12), P_truthteller-{F}(V13,V12), P_liar-{F}(V13,V14), P_liar-{F}(V10,V14) | a_truth-{T}(V9)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1597: mergings( V2 == V7, V7 == V18, V3 == V8, V8 == V19, V4 == V9, V9 == V20, V0 == V21, V6 == V17, V17 == V23; #1586 ), references = 1, size of lhs = 17:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_truthteller-{F}(V2,V9), P_c-{F}(V10), P_truthteller-{F}(V10,V11), people-{F}(V2,V10,V12), P_a-{F}(V13), P_truthteller-{F}(V13,V7), P_liar-{F}(V13,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1607: mergings( V2 == V7, V7 == V18, V3 == V8, V8 == V19, V4 == V9, V9 == V20, V0 == V21, V6 == V17, V17 == V22; #1587 ), references = 1, size of lhs = 15:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_c-{F}(V10), P_truthteller-{F}(V10,V11), P_a-{F}(V12), P_truthteller-{F}(V12,V7), P_equal_type-{F}(V12,V2,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1618: mergings( V2 == V6, V6 == V17, V3 == V7, V7 == V18, V4 == V8, V8 == V19, V5 == V16, V16 == V21; #1608 ), references = 1, size of lhs = 16:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_truthteller-{F}(V2,V9), P_c-{F}(V10), people-{F}(V2,V10,V11), P_a-{F}(V12), P_truthteller-{F}(V12,V7), P_liar-{F}(V12,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1629: mergings( V2 == V6, V6 == V14, V3 == V7, V7 == V15, V4 == V0, V0 == V16, V8 == V12, V5 == V13, V13 == V19; #1619 ), references = 1, size of lhs = 13:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V3), P_c-{F}(V7), people-{F}(V2,V7,V8), P_a-{F}(V9), P_truthteller-{F}(V9,V5), P_liar-{F}(V9,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1632: exists( #25, #1540 ), references = 5, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), a_truth-{F}(V1), P_yes-{F}(V2), P_no-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V1), P_c-{F}(V5), P_a-{F}(V6), P_truthteller-{F}(V6,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1644: mergings( V2 == V7, V3 == V8, V4 == V9, V6 == V10; #1638 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V3), P_a-{F}(V5), P_truthteller-{F}(V5,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1649: mergings( V2 == V7, V3 == V8, V4 == V9, V6 == V10; #1639 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V3), P_a-{F}(V5), P_truthteller-{F}(V5,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1655: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V10, V6 == V11; #1637 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V3), P_a-{F}(V5), P_truthteller-{F}(V5,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1673: disj( #0, #377+#1 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V1), P_liar-{F}(V4,V1), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_equal_type-{F}(V3,V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V1) | a_truth-{T}(V2)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1703: disj( #0, #377+#1 ), references = 1, size of lhs = 9:
% 4.56/4.73 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_liar-{F}(V4,V2), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_equal_type-{F}(V3,V6,V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V2) | a_truth-{T}(V1)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1715: mergings( V2 == V8, V3 == V9, V4 == V10, V6 == V11; #1710 ), references = 1, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V4), P_c-{F}(V5), P_truthteller-{F}(V5,V4), P_a-{F}(V6), P_truthteller-{F}(V6,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1721: mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V11, V6 == V12; #1709 ), references = 1, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V4), P_c-{F}(V5), P_truthteller-{F}(V5,V4), P_a-{F}(V6), P_truthteller-{F}(V6,V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1748: disj( #0, mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11; #917 ) ), references = 1, size of lhs = 11:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_c-{F}(V7), P_a-{F}(V8), P_truthteller-{F}(V8,V0), people-{F}(V8,V3,V9) | a_truth-{T}(V6)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1757: mergings( V3 == V11, V4 == V12, V5 == V0, V7 == V13, V8 == V14, V2 == V10; #1750 ), references = 2, size of lhs = 9:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_c-{F}(V5), P_a-{F}(V6), P_truthteller-{F}(V6,V0), people-{F}(V6,V3,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1764: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V2 == V8; #1758 ), references = 3, size of lhs = 8:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V0), people-{F}(V5,V3,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1779: mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V11, V6 == V13; #1773 ), references = 1, size of lhs = 11:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V0), P_c-{F}(V4), P_truthteller-{F}(V4,V5), people-{F}(V3,V4,V6), P_a-{F}(V7), a_truth-{F}(V8), P_liar-{F}(V7,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1785: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V11; #1780 ), references = 2, size of lhs = 10:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V0), P_c-{F}(V4), people-{F}(V3,V4,V5), P_a-{F}(V6), a_truth-{F}(V7), P_liar-{F}(V6,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1829: disj( #0, mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13; #1032 ) ), references = 1, size of lhs = 12:
% 4.56/4.73 a_truth-{F}(V0), P_yes-{F}(V1), P_no-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8), P_c-{F}(V9), P_a-{F}(V10), P_liar-{F}(V10,V0) | a_truth-{T}(V8)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1839: mergings( V6 == V7, V3 == V10, V4 == V11, V5 == V12, V8 == V13, V9 == V15, V2 == V16; #1831 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_c-{F}(V5), people-{F}(V2,V5,V6), P_a-{F}(V7), a_truth-{F}(V8), P_liar-{F}(V7,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1846: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V11, V2 == V12; #1840 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), people-{F}(V2,V3,V4), P_a-{F}(V5), a_truth-{F}(V6), P_liar-{F}(V5,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1872: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12, V6 == V13; #1864 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_truthteller-{F}(V3,V4), P_says-{F}(V5,V4,V4), P_truthteller-{F}(V5,V6), P_a-{F}(V7), P_truthteller-{F}(V7,V6), people-{F}(V7,V2,V8) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1878: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V13, V6 == V14; #1865 ), references = 1, size of lhs = 11:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_says-{F}(V6,V5,V5), P_truthteller-{F}(V6,V7), P_a-{F}(V8), P_truthteller-{F}(V8,V7), people-{F}(V8,V2,V9) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1884: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12, V6 == V13; #1866 ), references = 1, size of lhs = 10:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_says-{F}(V4,V6,V6), P_a-{F}(V7), P_truthteller-{F}(V7,V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1890: disj( #0, mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V11, V2 == V12; #1840 ) ), references = 1, size of lhs = 9:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), people-{F}(V2,V3,V4), P_a-{F}(V5), P_liar-{F}(V5,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8) | a_truth-{T}(V8)
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1898: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11, V0 == V12; #1892 ), references = 1, size of lhs = 8:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), people-{F}(V2,V3,V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), people-{F}(V5,V2,V7) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1904: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10; #1899 ), references = 1, size of lhs = 7:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), people-{F}(V2,V3,V4), P_a-{F}(V5), people-{F}(V5,V2,V6) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1917: mergings( V1 == V3, V3 == V6, V6 == V10, V2 == V4, V4 == V7, V7 == V11, V8 == V12, V5 == V9, V9 == V13; #1907 ), references = 1, size of lhs = 4:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1926: mergings( V1 == V3, V3 == V5, V5 == V8, V2 == V4, V4 == V6, V6 == V9, V7 == V10; #1918 ), references = 1, size of lhs = 3:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1), P_b-{F}(V2) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1934: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #1927 ), references = 1, size of lhs = 2:
% 4.56/4.73 P_yes-{F}(V0), P_no-{F}(V1) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1939: mergings( V1 == V2, V2 == V3, V3 == V4; #1935 ), references = 1, size of lhs = 1:
% 4.56/4.73 P_yes-{F}(V0) | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 #1941: exists( #28, #1935 ), references = 1, size of lhs = 0:
% 4.56/4.73 FALSE | FALSE
% 4.56/4.73 (used 0 times, uses = {})
% 4.56/4.73
% 4.56/4.73 number of learnt formulas = 163
% 4.56/4.73
% 4.56/4.73
% 4.56/4.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.56/4.73
% 4.56/4.73 randbase = 1
%------------------------------------------------------------------------------