TSTP Solution File: PUZ024-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ024-1 : 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 0.71s 0.90s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:02:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.71/0.90 GeoParameters:
% 0.71/0.90
% 0.71/0.90 tptp_input = 1
% 0.71/0.90 tptp_output = 0
% 0.71/0.90 nonempty = 1
% 0.71/0.90 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.90 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.71/0.90
% 0.71/0.90
% 0.71/0.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.90
% 0.71/0.90 RuleSystem INPUT:
% 0.71/0.90
% 0.71/0.90 Initial Rules:
% 0.71/0.90 #0: input, references = 9, size of lhs = 2:
% 0.71/0.90 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2) | a_truth-{T}(V1), a_truth-{T}(V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #1: input, references = 4, size of lhs = 4:
% 0.71/0.90 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), a_truth-{F}(V1), a_truth-{F}(V2) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #2: input, references = 3, size of lhs = 4:
% 0.71/0.90 P_truthteller-{F}(V1,V2), P_says-{F}(V1,V0,V3), a_truth-{F}(V2), a_truth-{F}(V3) | a_truth-{T}(V0)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #3: input, references = 6, size of lhs = 5:
% 0.71/0.90 P_liar-{F}(V0,V1), a_truth-{F}(V1), P_says-{F}(V0,V2,V3), a_truth-{F}(V3), a_truth-{F}(V2) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #4: input, references = 3, size of lhs = 4:
% 0.71/0.90 a_truth-{F}(V0), P_says-{F}(V1,V0,V2), P_truthteller-{F}(V1,V3), a_truth-{F}(V2) | a_truth-{T}(V3)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #5: input, references = 3, size of lhs = 3:
% 0.71/0.90 P_liar-{F}(V0,V1), P_says-{F}(V0,V2,V3), a_truth-{F}(V3) | a_truth-{T}(V1), a_truth-{T}(V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #6: input, references = 3, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_says-{F}(V1,V0,V2), P_truthteller-{F}(V1,V3), a_truth-{F}(V2), a_truth-{F}(V3), P_truthteller-{F}(V4,V5), a_truth-{F}(V5), P_truthteller-{F}(V6,V7), people-{F}(V1,V6,V4), a_truth-{F}(V7) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #7: input, references = 3, size of lhs = 6:
% 0.71/0.90 P_one_truthteller-{F}(V0), a_truth-{F}(V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V6), people-{F}(V5,V3,V1) | a_truth-{T}(V2), a_truth-{T}(V4), a_truth-{T}(V6)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #8: input, references = 3, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), a_truth-{F}(V0), P_truthteller-{F}(V1,V2), a_truth-{F}(V2), P_truthteller-{F}(V3,V4), a_truth-{F}(V4), P_truthteller-{F}(V5,V6), people-{F}(V5,V3,V1), a_truth-{F}(V6) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #9: input, references = 3, size of lhs = 8:
% 0.71/0.90 P_one_truthteller-{F}(V0), a_truth-{F}(V0), P_liar-{F}(V1,V2), P_truthteller-{F}(V3,V4), a_truth-{F}(V4), P_liar-{F}(V5,V6), people-{F}(V5,V3,V1), a_truth-{F}(V6) | a_truth-{T}(V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #10: input, references = 3, size of lhs = 7:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V4), a_truth-{F}(V4), P_liar-{F}(V5,V6), people-{F}(V5,V3,V1), a_truth-{F}(V6) | a_truth-{T}(V0), a_truth-{T}(V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #11: input, references = 3, size of lhs = 7:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_liar-{F}(V1,V2), P_liar-{F}(V3,V4), a_truth-{F}(V4), P_liar-{F}(V5,V6), people-{F}(V5,V3,V1), a_truth-{F}(V6) | a_truth-{T}(V0), a_truth-{T}(V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #12: input, references = 5, size of lhs = 7:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_says-{F}(V2,V1,V3), P_truthteller-{F}(V2,V4), a_truth-{F}(V3), a_truth-{F}(V4), people-{F}(V2,V6,V5) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #13: input, references = 8, size of lhs = 6:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V7), people-{F}(V6,V4,V2) | a_truth-{T}(V1), a_truth-{T}(V3), a_truth-{T}(V5), a_truth-{T}(V7)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #14: input, references = 4, size of lhs = 5:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V2,V3,V4)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #15: input, references = 5, size of lhs = 5:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V4,V3,V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #16: input, references = 3, size of lhs = 5:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4) | people-{T}(V3,V2,V4)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #17: input, references = 11, size of lhs = 6:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5) | a_truth-{T}(V5)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #18: input, references = 6, size of lhs = 7:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_says-{F}(V2,V0,V6) | a_truth-{T}(V6)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #19: input, references = 7, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_says-{F}(V2,V0,V6), P_truthteller-{F}(V7,V8), a_truth-{F}(V8) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #20: input, references = 12, size of lhs = 1:
% 0.71/0.90 #-{F} V0 | EXISTS V1: P_truthteller-{T}(V0,V1)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #21: input, references = 5, size of lhs = 1:
% 0.71/0.90 #-{F} V0 | EXISTS V1: P_liar-{T}(V0,V1)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #22: input, references = 14, size of lhs = 2:
% 0.71/0.90 #-{F} V0, #-{F} V1 | EXISTS V2: P_says-{T}(V0,V1,V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #23: input, references = 4, size of lhs = 0:
% 0.71/0.90 FALSE | EXISTS V0: P_one_truthteller-{T}(V0)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #24: input, references = 4, size of lhs = 0:
% 0.71/0.90 FALSE | EXISTS V0: P_all_are_liars-{T}(V0)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #25: input, references = 4, size of lhs = 0:
% 0.71/0.90 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #26: input, references = 4, size of lhs = 0:
% 0.71/0.90 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #27: input, references = 5, size of lhs = 0:
% 0.71/0.90 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 number of initial rules = 28
% 0.71/0.90
% 0.71/0.90 Simplifiers:
% 0.71/0.90 #28: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_truthteller-{F}(V0,V1), P_truthteller-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #29: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_liar-{F}(V0,V1), P_liar-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #30: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_says-{F}(V0,V1,V2), P_says-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #31: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_one_truthteller-{F}(V1), V0 == V1 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #32: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_all_are_liars-{F}(V1), V0 == V1 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #33: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #34: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #35: unsound, references = 3, size of lhs = 3:
% 0.71/0.90 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 number of simplifiers = 8
% 0.71/0.90
% 0.71/0.90 Learnt:
% 0.71/0.90 #42: disj( #0, input ), references = 1, size of lhs = 4:
% 0.71/0.90 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_liar-{F}(V3,V1) | a_truth-{T}(V2)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #43: disj( #0, input ), references = 1, size of lhs = 4:
% 0.71/0.90 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)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #71: mergings( V0 == V8, V8 == V16, V16 == V22, V1 == V9, V9 == V17, V17 == V23; #56 ), references = 4, size of lhs = 20:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), a_truth-{F}(V3), P_one_truthteller-{F}(V4), P_says-{F}(V0,V4,V5), P_all_are_liars-{F}(V6), P_says-{F}(V2,V6,V7), P_truthteller-{F}(V8,V6), P_says-{F}(V9,V6,V3), P_truthteller-{F}(V9,V10), a_truth-{F}(V11), P_says-{F}(V12,V6,V11), P_truthteller-{F}(V12,V13), P_truthteller-{F}(V14,V13), P_truthteller-{F}(V15,V10), people-{F}(V16,V14,V15), P_truthteller-{F}(V16,V17), people-{F}(V9,V18,V19), people-{F}(V12,V20,V21) | a_truth-{T}(V17)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #77: mergings( V0 == V8, V8 == V16, V16 == V22, V1 == V9, V9 == V17; #57 ), references = 1, size of lhs = 22:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), P_all_are_liars-{F}(V3), P_says-{F}(V2,V3,V4), P_truthteller-{F}(V5,V3), a_truth-{F}(V6), P_says-{F}(V7,V3,V6), P_truthteller-{F}(V7,V8), P_one_truthteller-{F}(V9), P_says-{F}(V0,V9,V10), a_truth-{F}(V11), P_says-{F}(V12,V9,V11), P_truthteller-{F}(V12,V13), P_truthteller-{F}(V14,V13), P_truthteller-{F}(V15,V13), people-{F}(V12,V15,V16), P_truthteller-{F}(V16,V13), P_truthteller-{F}(V17,V8), people-{F}(V18,V14,V17), P_truthteller-{F}(V18,V19), people-{F}(V7,V20,V21) | a_truth-{T}(V19)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #83: mergings( V0 == V8, V8 == V16, V16 == V21, V1 == V9, V9 == V22; #59 ), references = 1, size of lhs = 22:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), a_truth-{F}(V3), P_one_truthteller-{F}(V4), P_says-{F}(V0,V4,V5), P_says-{F}(V6,V4,V3), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), people-{F}(V6,V8,V9), P_truthteller-{F}(V9,V7), P_all_are_liars-{F}(V10), P_says-{F}(V2,V10,V11), P_truthteller-{F}(V12,V10), a_truth-{F}(V13), P_says-{F}(V14,V10,V13), P_truthteller-{F}(V14,V15), P_truthteller-{F}(V16,V15), P_truthteller-{F}(V17,V7), people-{F}(V18,V16,V17), P_truthteller-{F}(V18,V19), people-{F}(V14,V20,V21) | a_truth-{T}(V19)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #88: disj( #0, input ), references = 3, size of lhs = 5:
% 0.71/0.90 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)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #98: disj( #0, input ), references = 3, size of lhs = 8:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), a_truth-{F}(V2), P_says-{F}(V3,V1,V2), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), people-{F}(V3,V7,V8) | a_truth-{T}(V6)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #99: disj( #0, input ), references = 1, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), a_truth-{F}(V1), P_says-{F}(V2,V0,V1), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_truthteller-{F}(V6,V3), people-{F}(V2,V6,V7), P_truthteller-{F}(V7,V3) | a_truth-{T}(V5)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #136: mergings( V0 == V8, V8 == V14, V14 == V20, V1 == V9, V9 == V15, V15 == V21; #103 ), references = 2, size of lhs = 18:
% 0.71/0.90 a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_all_are_liars-{F}(V3), P_says-{F}(V4,V3,V0), P_truthteller-{F}(V4,V5), P_says-{F}(V6,V3,V1), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), a_truth-{F}(V9), P_says-{F}(V10,V3,V9), P_truthteller-{F}(V10,V11), P_truthteller-{F}(V12,V11), people-{F}(V12,V8,V13), P_truthteller-{F}(V13,V5), people-{F}(V4,V14,V15), people-{F}(V6,V16,V17), people-{F}(V10,V18,V19) | a_truth-{T}(V3)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #142: mergings( V0 == V8, V8 == V14, V14 == V20, V1 == V9, V9 == V15; #104 ), references = 1, size of lhs = 20:
% 0.71/0.90 a_truth-{F}(V0), P_all_are_liars-{F}(V1), P_says-{F}(V2,V1,V0), P_truthteller-{F}(V2,V3), a_truth-{F}(V4), P_says-{F}(V5,V1,V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_one_truthteller-{F}(V8), a_truth-{F}(V9), P_says-{F}(V10,V8,V9), P_truthteller-{F}(V10,V11), P_truthteller-{F}(V12,V11), people-{F}(V12,V7,V13), P_truthteller-{F}(V13,V3), P_truthteller-{F}(V14,V11), people-{F}(V10,V14,V15), P_truthteller-{F}(V15,V11), people-{F}(V2,V16,V17), people-{F}(V5,V18,V19) | a_truth-{T}(V1)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #148: mergings( V0 == V8, V8 == V14, V14 == V19, V1 == V9, V9 == V20; #106 ), references = 1, size of lhs = 20:
% 0.71/0.90 a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_says-{F}(V3,V2,V1), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_truthteller-{F}(V6,V4), people-{F}(V3,V6,V7), P_truthteller-{F}(V7,V4), P_all_are_liars-{F}(V8), P_says-{F}(V9,V8,V0), P_truthteller-{F}(V9,V10), a_truth-{F}(V11), P_says-{F}(V12,V8,V11), P_truthteller-{F}(V12,V13), P_truthteller-{F}(V14,V13), people-{F}(V14,V5,V15), P_truthteller-{F}(V15,V10), people-{F}(V9,V16,V17), people-{F}(V12,V18,V19) | a_truth-{T}(V8)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #161: mergings( V7 == V12, V12 == V14, V14 == V17, V3 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V16; #152 ), references = 1, size of lhs = 17:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V2,V5), P_truthteller-{F}(V6,V5), P_one_truthteller-{F}(V7), P_all_are_liars-{F}(V8), P_truthteller-{F}(V9,V5), people-{F}(V9,V6,V10), P_truthteller-{F}(V10,V5), people-{F}(V2,V11,V12), people-{F}(V2,V13,V14), people-{F}(V2,V15,V16), people-{F}(V2,V17,V18) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #171: exists( #22, #19 ), references = 6, size of lhs = 8:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #179: mergings( V3 == V6, V6 == V10, V4 == V11, V5 == V12; #174 ), references = 1, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_truthteller-{F}(V8,V7), people-{F}(V4,V9,V10) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #198: mergings( V11 == V13, V1 == V8, V8 == V3; #192 ), references = 2, size of lhs = 21:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V0,V4), a_truth-{F}(V5), P_says-{F}(V6,V0,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V1,V8), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V8), people-{F}(V10,V9,V11), P_truthteller-{F}(V11,V7), a_truth-{F}(V12), P_liar-{F}(V13,V12), P_says-{F}(V13,V0,V14), a_truth-{F}(V14), people-{F}(V6,V15,V16), people-{F}(V1,V17,V18), people-{F}(V1,V19,V20) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #201: mergings( V1 == V7, V7 == V3; #193 ), references = 1, size of lhs = 11:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_liar-{F}(V1,V0), P_c-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V0,V4), P_truthteller-{F}(V1,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V0), people-{F}(V1,V7,V8) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #208: mergings( V1 == V7, V3 == V8, V0 == V9, V4 == V10, V5 == V11, V6 == V12; #194 ), references = 1, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V0), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_liar-{F}(V6,V0), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #214: mergings( V3 == V6, V6 == V1; #210 ), references = 1, size of lhs = 10:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_liar-{F}(V1,V0), P_c-{F}(V2), P_a-{F}(V3), P_truthteller-{F}(V1,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V0), people-{F}(V1,V6,V7) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #218: mergings( V3 == V6, V4 == V7, V5 == V8; #211 ), references = 1, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V0), P_c-{F}(V3), P_a-{F}(V4), P_liar-{F}(V5,V0), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #236: mergings( V7 == V12, V3 == V6, V6 == V1, V4 == V10, V5 == V11; #230 ), references = 1, size of lhs = 18:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V3,V6), P_truthteller-{F}(V1,V7), P_truthteller-{F}(V8,V7), P_truthteller-{F}(V9,V7), people-{F}(V9,V8,V10), P_truthteller-{F}(V10,V6), people-{F}(V3,V11,V12), people-{F}(V3,V13,V14), people-{F}(V1,V15,V16), people-{F}(V1,V17,V18) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #243: mergings( V9 == V12, V2 == V5, V5 == V6, V3 == V0, V4 == V7; #237 ), references = 1, size of lhs = 15:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V3,V6), people-{F}(V1,V1,V7), P_truthteller-{F}(V7,V6), people-{F}(V3,V8,V9), people-{F}(V3,V10,V11), people-{F}(V1,V12,V13), people-{F}(V1,V14,V15) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #250: mergings( V9 == V10, V2 == V5, V5 == V6, V3 == V7, V4 == V8; #244 ), references = 1, size of lhs = 12:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_truthteller-{F}(V3,V4), people-{F}(V1,V1,V5), P_truthteller-{F}(V5,V4), people-{F}(V3,V6,V7), people-{F}(V3,V8,V9), people-{F}(V1,V10,V11), people-{F}(V1,V12,V13) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #256: mergings( V2 == V5, V5 == V6, V3 == V7, V4 == V8; #251 ), references = 1, size of lhs = 10:
% 0.71/0.90 P_all_are_liars-{F}(V0), P_one_truthteller-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), people-{F}(V1,V1,V3), people-{F}(V3,V4,V5), people-{F}(V3,V6,V7), people-{F}(V1,V8,V9), people-{F}(V1,V10,V11) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #271: mergings( V1 == V4, V4 == V8, V8 == V11, V11 == V12, V2 == V5, V5 == V12, V3 == V6, V6 == V9, V9 == V7, V7 == V10, V10 == V13; #259 ), references = 1, size of lhs = 4:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V0), P_all_are_liars-{F}(V1), P_one_truthteller-{F}(V1) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #274: disj( #0, exists( #22, #19 ) ), references = 6, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_truthteller-{F}(V6,V7), P_liar-{F}(V6,V8), P_truthteller-{F}(V9,V7) | a_truth-{T}(V8)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #275: disj( #0, input ), references = 1, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_says-{F}(V2,V0,V6), P_truthteller-{F}(V7,V8), P_liar-{F}(V7,V9), P_truthteller-{F}(V10,V8) | a_truth-{T}(V9)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #301: mergings( V8 == V9, V3 == V1, V4 == V0, V5 == V6, V6 == V11; #294 ), references = 1, size of lhs = 14:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V0), P_truthteller-{F}(V1,V0), P_b-{F}(V2), P_a-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_c-{F}(V5), P_truthteller-{F}(V6,V3), people-{F}(V7,V4,V6), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), people-{F}(V2,V10,V11), people-{F}(V2,V12,V13) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #309: mergings( V8 == V9, V3 == V1, V1 == V11, V4 == V0, V0 == V12, V5 == V6, V6 == V13; #293 ), references = 1, size of lhs = 14:
% 0.71/0.90 P_a-{F}(V0), P_b-{F}(V0), P_all_are_liars-{F}(V1), P_one_truthteller-{F}(V1), P_truthteller-{F}(V2,V1), P_truthteller-{F}(V0,V3), P_truthteller-{F}(V4,V3), P_c-{F}(V5), P_truthteller-{F}(V6,V3), people-{F}(V7,V4,V6), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), people-{F}(V0,V10,V11), people-{F}(V0,V12,V13) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #317: mergings( V11 == V12, V3 == V6, V6 == V1, V4 == V7, V7 == V0, V5 == V8, V8 == V9; #295 ), references = 1, size of lhs = 18:
% 0.71/0.90 P_b-{F}(V0), P_a-{F}(V0), P_c-{F}(V1), P_one_truthteller-{F}(V2), P_all_are_liars-{F}(V2), P_truthteller-{F}(V3,V2), P_truthteller-{F}(V0,V4), P_truthteller-{F}(V5,V4), P_truthteller-{F}(V6,V4), people-{F}(V7,V5,V6), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), P_liar-{F}(V9,V10), P_liar-{F}(V11,V10), P_truthteller-{F}(V11,V12), P_truthteller-{F}(V13,V12), people-{F}(V0,V14,V15), people-{F}(V0,V16,V17) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #325: mergings( V9 == V10, V2 == V6, V3 == V8, V4 == V5, V5 == V12; #318 ), references = 1, size of lhs = 12:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V0), P_truthteller-{F}(V1,V0), P_b-{F}(V2), P_a-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_c-{F}(V5), P_truthteller-{F}(V6,V3), people-{F}(V7,V4,V6), people-{F}(V2,V8,V9), people-{F}(V2,V10,V11) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #333: mergings( V9 == V10, V2 == V7, V7 == V12, V3 == V5, V5 == V13, V4 == V6, V6 == V14; #319 ), references = 1, size of lhs = 12:
% 0.71/0.90 P_a-{F}(V0), P_b-{F}(V0), P_all_are_liars-{F}(V1), P_one_truthteller-{F}(V1), P_truthteller-{F}(V2,V1), P_truthteller-{F}(V0,V3), P_truthteller-{F}(V4,V3), P_c-{F}(V5), P_truthteller-{F}(V6,V3), people-{F}(V7,V4,V6), people-{F}(V0,V8,V9), people-{F}(V0,V10,V11) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #336: disj( #0, exists( #22, #19 ) ), references = 1, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_truthteller-{F}(V6,V7), P_liar-{F}(V6,V8), P_truthteller-{F}(V9,V7) | a_truth-{T}(V8)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #337: disj( #0, input ), references = 1, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_says-{F}(V4,V1,V5), P_says-{F}(V2,V0,V6), P_truthteller-{F}(V7,V8), P_liar-{F}(V7,V9), P_truthteller-{F}(V10,V8) | a_truth-{T}(V9)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #345: mergings( V3 == V6, V4 == V7, V5 == V8; #340 ), references = 1, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V5,V6), P_liar-{F}(V5,V7), P_truthteller-{F}(V8,V6), P_truthteller-{F}(V9,V7) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #349: mergings( V3 == V1, V4 == V0, V5 == V6; #341 ), references = 1, size of lhs = 9:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V0), P_b-{F}(V1), P_a-{F}(V1), P_c-{F}(V2), P_truthteller-{F}(V3,V4), P_liar-{F}(V3,V5), P_truthteller-{F}(V6,V4), P_truthteller-{F}(V7,V5) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #353: disj( #13, input, input ), references = 1, size of lhs = 14:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), a_truth-{F}(V2), P_liar-{F}(V3,V2), a_truth-{F}(V4), P_says-{F}(V3,V4,V1), a_truth-{F}(V5), P_liar-{F}(V6,V5), a_truth-{F}(V7), P_says-{F}(V6,V7,V8), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V11), people-{F}(V10,V9,V12), P_truthteller-{F}(V12,V13) | a_truth-{T}(V13), a_truth-{T}(V11)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #359: mergings( V0 == V14, V1 == V15; #354 ), references = 1, size of lhs = 18:
% 0.71/0.90 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_all_are_liars-{F}(V3), a_truth-{F}(V4), P_liar-{F}(V5,V4), a_truth-{F}(V6), P_says-{F}(V5,V6,V7), P_truthteller-{F}(V8,V7), P_one_truthteller-{F}(V9), a_truth-{F}(V10), P_says-{F}(V11,V3,V10), P_truthteller-{F}(V11,V12), P_truthteller-{F}(V13,V12), people-{F}(V14,V8,V13), P_truthteller-{F}(V14,V15), people-{F}(V11,V16,V17) | a_truth-{T}(V15)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #362: mergings( V0 == V14, V1 == V15; #355 ), references = 1, size of lhs = 19:
% 0.71/0.90 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_all_are_liars-{F}(V3), a_truth-{F}(V4), P_liar-{F}(V5,V4), a_truth-{F}(V6), P_says-{F}(V5,V6,V7), P_truthteller-{F}(V8,V7), P_one_truthteller-{F}(V9), P_b-{F}(V10), P_c-{F}(V11), P_a-{F}(V12), P_says-{F}(V12,V3,V13), P_truthteller-{F}(V14,V15), people-{F}(V14,V8,V16), P_truthteller-{F}(V16,V17), P_truthteller-{F}(V18,V17) | a_truth-{T}(V15)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #365: mergings( V0 == V14, V1 == V15; #356 ), references = 1, size of lhs = 20:
% 0.71/0.90 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_all_are_liars-{F}(V3), a_truth-{F}(V4), P_liar-{F}(V5,V4), a_truth-{F}(V6), P_says-{F}(V5,V6,V7), P_truthteller-{F}(V8,V7), P_one_truthteller-{F}(V9), P_b-{F}(V10), P_c-{F}(V11), P_a-{F}(V12), P_says-{F}(V12,V3,V13), P_says-{F}(V10,V9,V14), P_truthteller-{F}(V15,V16), people-{F}(V15,V8,V17), P_truthteller-{F}(V17,V18), P_truthteller-{F}(V19,V18) | a_truth-{T}(V16)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #380: mergings( V0 == V11, V11 == V17, V1 == V12, V12 == V18; #370 ), references = 1, size of lhs = 19:
% 0.71/0.90 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_all_are_liars-{F}(V3), a_truth-{F}(V4), P_says-{F}(V5,V3,V4), P_truthteller-{F}(V5,V6), P_one_truthteller-{F}(V7), P_b-{F}(V8), P_c-{F}(V9), P_a-{F}(V10), P_says-{F}(V10,V3,V11), P_truthteller-{F}(V12,V6), P_truthteller-{F}(V13,V14), people-{F}(V15,V13,V12), P_truthteller-{F}(V15,V16), P_truthteller-{F}(V17,V14), people-{F}(V5,V18,V19) | a_truth-{T}(V16)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #385: mergings( V0 == V11, V11 == V17, V1 == V12, V12 == V18; #371 ), references = 1, size of lhs = 20:
% 0.71/0.90 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_all_are_liars-{F}(V3), a_truth-{F}(V4), P_says-{F}(V5,V3,V4), P_truthteller-{F}(V5,V6), P_one_truthteller-{F}(V7), P_b-{F}(V8), P_c-{F}(V9), P_a-{F}(V10), P_says-{F}(V10,V3,V11), P_says-{F}(V8,V7,V12), P_truthteller-{F}(V13,V6), P_truthteller-{F}(V14,V15), people-{F}(V16,V14,V13), P_truthteller-{F}(V16,V17), P_truthteller-{F}(V18,V15), people-{F}(V5,V19,V20) | a_truth-{T}(V17)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #394: mergings( V0 == V11, V11 == V18, V1 == V12, V12 == V19, V13 == V20, V14 == V21, V15 == V22, V16 == V23; #372 ), references = 4, size of lhs = 16:
% 0.71/0.90 a_truth-{F}(V0), P_liar-{F}(V1,V0), a_truth-{F}(V2), P_says-{F}(V1,V2,V3), P_all_are_liars-{F}(V3), P_one_truthteller-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_a-{F}(V7), P_says-{F}(V7,V3,V8), P_truthteller-{F}(V9,V10), P_truthteller-{F}(V11,V10), P_truthteller-{F}(V12,V13), people-{F}(V12,V9,V14), P_truthteller-{F}(V14,V15), P_truthteller-{F}(V16,V15) | a_truth-{T}(V13)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #423: mergings( V3 == V6, V6 == V9, V4 == V7, V7 == V10, V5 == V8, V8 == V11; #414 ), references = 1, size of lhs = 17:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V5,V6), P_liar-{F}(V5,V7), P_truthteller-{F}(V8,V6), P_liar-{F}(V9,V7), P_says-{F}(V9,V7,V1), P_truthteller-{F}(V10,V11), P_truthteller-{F}(V12,V11), P_truthteller-{F}(V13,V14), people-{F}(V13,V10,V15), P_truthteller-{F}(V15,V16), P_truthteller-{F}(V17,V16), P_truthteller-{F}(V18,V14) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #430: mergings( V3 == V6, V6 == V1, V4 == V7, V7 == V0, V5 == V8, V8 == V9; #415 ), references = 1, size of lhs = 17:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V0), P_b-{F}(V1), P_a-{F}(V1), P_c-{F}(V2), P_truthteller-{F}(V3,V4), P_liar-{F}(V3,V5), P_truthteller-{F}(V6,V4), P_liar-{F}(V7,V5), P_says-{F}(V7,V5,V0), P_truthteller-{F}(V8,V9), P_truthteller-{F}(V10,V9), P_truthteller-{F}(V11,V12), people-{F}(V11,V8,V13), P_truthteller-{F}(V13,V14), P_truthteller-{F}(V15,V14), P_truthteller-{F}(V16,V12) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #438: mergings( V3 == V6, V6 == V9, V9 == V12, V4 == V7, V7 == V10, V5 == V8, V8 == V11; #416 ), references = 1, size of lhs = 18:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), P_one_truthteller-{F}(V3), P_all_are_liars-{F}(V4), P_truthteller-{F}(V2,V5), P_truthteller-{F}(V6,V5), P_truthteller-{F}(V7,V8), P_liar-{F}(V7,V9), P_truthteller-{F}(V10,V8), P_liar-{F}(V11,V9), P_says-{F}(V11,V9,V4), P_truthteller-{F}(V12,V13), P_truthteller-{F}(V14,V13), people-{F}(V6,V12,V15), P_truthteller-{F}(V15,V16), P_truthteller-{F}(V17,V16), people-{F}(V2,V18,V19) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #448: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V10, V4 == V7, V7 == V11; #439 ), references = 1, size of lhs = 15:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V5,V6), P_liar-{F}(V5,V7), P_truthteller-{F}(V8,V6), P_liar-{F}(V9,V7), P_says-{F}(V9,V7,V1), P_truthteller-{F}(V10,V11), P_truthteller-{F}(V12,V11), people-{F}(V10,V13,V14), P_truthteller-{F}(V14,V15), P_truthteller-{F}(V16,V15) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #455: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #440 ), references = 1, size of lhs = 15:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V0), P_b-{F}(V1), P_a-{F}(V1), P_c-{F}(V2), P_truthteller-{F}(V3,V4), P_liar-{F}(V3,V5), P_truthteller-{F}(V6,V4), P_liar-{F}(V7,V5), P_says-{F}(V7,V5,V0), P_truthteller-{F}(V8,V9), P_truthteller-{F}(V10,V9), people-{F}(V8,V11,V12), P_truthteller-{F}(V12,V13), P_truthteller-{F}(V14,V13) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #463: mergings( V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #441 ), references = 1, size of lhs = 16:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), P_one_truthteller-{F}(V3), P_all_are_liars-{F}(V4), P_truthteller-{F}(V2,V5), P_truthteller-{F}(V6,V5), P_truthteller-{F}(V7,V8), P_liar-{F}(V7,V9), P_truthteller-{F}(V10,V8), P_liar-{F}(V11,V9), P_says-{F}(V11,V9,V4), people-{F}(V6,V12,V13), P_truthteller-{F}(V13,V14), P_truthteller-{F}(V15,V14), people-{F}(V2,V16,V17) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #473: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V10, V4 == V7, V7 == V11; #464 ), references = 1, size of lhs = 11:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V5,V6), P_liar-{F}(V5,V7), P_truthteller-{F}(V8,V6), P_liar-{F}(V9,V7), P_says-{F}(V9,V7,V1), people-{F}(V10,V11,V10) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #480: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #465 ), references = 1, size of lhs = 11:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V0), P_b-{F}(V1), P_a-{F}(V1), P_c-{F}(V2), P_truthteller-{F}(V3,V4), P_liar-{F}(V3,V5), P_truthteller-{F}(V6,V4), P_liar-{F}(V7,V5), P_says-{F}(V7,V5,V0), people-{F}(V8,V9,V8) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #488: mergings( V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #466 ), references = 1, size of lhs = 12:
% 0.71/0.90 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), P_one_truthteller-{F}(V3), P_all_are_liars-{F}(V4), people-{F}(V2,V5,V2), P_truthteller-{F}(V6,V7), P_liar-{F}(V6,V8), P_truthteller-{F}(V9,V7), P_liar-{F}(V10,V8), P_says-{F}(V10,V8,V4), people-{F}(V2,V11,V12) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #490: disj( #0, input ), references = 1, size of lhs = 4:
% 0.71/0.90 P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_liar-{F}(V3,V2), P_says-{F}(V3,V2,V2) | a_truth-{T}(V1)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #493: exists( #22, #171 ), references = 1, size of lhs = 7:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V6,V5) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #530: mergings( V0 == V8, V8 == V14, V14 == V20, V1 == V9, V9 == V15, V15 == V21, V10 == V16, V16 == V22, V11 == V17, V17 == V23, V12 == V18, V18 == V24; #500 ), references = 1, size of lhs = 12:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_truthteller-{F}(V8,V9), people-{F}(V8,V5,V10), P_truthteller-{F}(V10,V11), P_truthteller-{F}(V12,V11), P_truthteller-{F}(V13,V9) | a_truth-{T}(V1)
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #542: mergings( V3 == V6, V4 == V7, V5 == V8; #538 ), references = 1, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), a_truth-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #564: mergings( V2 == V3, V3 == V8, V8 == V13, V13 == V18, V18 == V21, V4 == V9, V9 == V14, V14 == V22, V5 == V10, V10 == V15, V15 == V19, V19 == V23, V6 == V11, V11 == V16, V16 == V20, V20 == V24, V7 == V12, V12 == V17, V17 == V25; #544 ), references = 1, size of lhs = 14:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), P_truthteller-{F}(V9,V10), P_truthteller-{F}(V11,V10), people-{F}(V9,V12,V13), P_truthteller-{F}(V13,V14), P_truthteller-{F}(V15,V14) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #585: mergings( V2 == V3, V3 == V8, V8 == V13, V13 == V18, V18 == V21, V4 == V9, V9 == V14, V14 == V22, V5 == V10, V10 == V15, V15 == V19, V19 == V23, V6 == V11, V11 == V16, V16 == V20, V20 == V24, V7 == V12, V12 == V17, V17 == V0; #565 ), references = 2, size of lhs = 12:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), people-{F}(V7,V10,V11), P_truthteller-{F}(V11,V12), P_truthteller-{F}(V13,V12) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #606: mergings( V2 == V3, V3 == V8, V8 == V13, V13 == V18, V18 == V21, V4 == V9, V9 == V14, V14 == V22, V5 == V10, V10 == V15, V15 == V19, V19 == V23, V6 == V11, V11 == V16, V16 == V20, V20 == V24, V7 == V12, V12 == V17, V17 == V0; #586 ), references = 1, size of lhs = 6:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), people-{F}(V4,V5,V4) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #611: exists( #20, #585 ), references = 1, size of lhs = 10:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), people-{F}(V7,V10,V11) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #613: exists( #20, #610 ), references = 1, size of lhs = 6:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), people-{F}(V4,V5,V6) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #620: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8; #615 ), references = 1, size of lhs = 4:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #625: mergings( V1 == V4, V2 == V5, V3 == V6; #621 ), references = 1, size of lhs = 3:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1), P_b-{F}(V2) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #629: mergings( V1 == V3, V2 == V4; #626 ), references = 1, size of lhs = 2:
% 0.71/0.90 P_one_truthteller-{F}(V0), P_all_are_liars-{F}(V1) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #632: mergings( V1 == V2; #630 ), references = 1, size of lhs = 1:
% 0.71/0.90 P_one_truthteller-{F}(V0) | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 #634: exists( #23, #630 ), references = 1, size of lhs = 0:
% 0.71/0.90 FALSE | FALSE
% 0.71/0.90 (used 0 times, uses = {})
% 0.71/0.90
% 0.71/0.90 number of learnt formulas = 65
% 0.71/0.90
% 0.71/0.90
% 0.71/0.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.90
% 0.71/0.90 randbase = 1
%------------------------------------------------------------------------------