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Geo-III---2018C.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n021.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 1.37s 1.55s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n021.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 06:54:11 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.37/1.55  GeoParameters:
% 1.37/1.55  
% 1.37/1.55  tptp_input =     1
% 1.37/1.55  tptp_output =    0
% 1.37/1.55  nonempty =       1
% 1.37/1.55  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.37/1.55  
% 1.37/1.55  
% 1.37/1.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55  
% 1.37/1.55  RuleSystem INPUT:
% 1.37/1.55  
% 1.37/1.55  Initial Rules:
% 1.37/1.55  #0: input, references = 18, size of lhs = 2:
% 1.37/1.55     P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2) | a_truth-{T}(V1), a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1: input, references = 13, size of lhs = 4:
% 1.37/1.55     P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), a_truth-{F}(V1), a_truth-{F}(V2) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #2: input, references = 15, size of lhs = 4:
% 1.37/1.55     P_truthteller-{F}(V1,V2), P_says-{F}(V1,V0,V3), a_truth-{F}(V2), a_truth-{F}(V3) | a_truth-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #3: input, references = 13, size of lhs = 5:
% 1.37/1.55     P_liar-{F}(V0,V1), a_truth-{F}(V1), P_says-{F}(V0,V2,V3), a_truth-{F}(V3), a_truth-{F}(V2) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #4: input, references = 3, size of lhs = 4:
% 1.37/1.55     a_truth-{F}(V0), P_says-{F}(V1,V0,V2), P_truthteller-{F}(V1,V3), a_truth-{F}(V2) | a_truth-{T}(V3)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #5: input, references = 3, size of lhs = 3:
% 1.37/1.55     P_liar-{F}(V0,V1), P_says-{F}(V0,V2,V3), a_truth-{F}(V3) | a_truth-{T}(V1), a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #6: input, references = 4, size of lhs = 6:
% 1.37/1.55     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)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #7: input, references = 11, size of lhs = 7:
% 1.37/1.55     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), people-{F}(V3,V1,V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #8: input, references = 6, size of lhs = 7:
% 1.37/1.55     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), people-{F}(V3,V5,V1) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #9: input, references = 3, size of lhs = 7:
% 1.37/1.55     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), people-{F}(V5,V3,V1) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #10: input, references = 3, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V6), people-{F}(V5,V3,V1), a_truth-{F}(V6) | a_truth-{T}(V0), a_truth-{T}(V2), a_truth-{T}(V4)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #11: input, references = 3, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V4), a_truth-{F}(V4), P_truthteller-{F}(V5,V6), people-{F}(V5,V3,V1) | a_truth-{T}(V0), a_truth-{T}(V2), a_truth-{T}(V6)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #12: input, references = 5, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_truthteller-{F}(V1,V2), a_truth-{F}(V2), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V6), people-{F}(V5,V3,V1) | a_truth-{T}(V0), a_truth-{T}(V4), a_truth-{T}(V6)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #13: input, references = 3, size of lhs = 4:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | people-{T}(V1,V2,V3)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #14: input, references = 8, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #15: input, references = 6, size of lhs = 8:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #16: input, references = 7, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), P_says-{F}(V3,V8,V9) | a_truth-{T}(V9)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #17: input, references = 4, size of lhs = 14:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), P_says-{F}(V3,V8,V9), P_liar-{F}(V3,V10), P_b_and_c_liars-{F}(V11), a_truth-{F}(V8), a_truth-{F}(V10) | an_answer-{T}(V11)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #18: input, references = 4, size of lhs = 16:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), P_says-{F}(V3,V8,V9), P_liar-{F}(V3,V10), P_b_and_c_liars-{F}(V11), P_truthteller-{F}(V3,V12), P_b_liar_and_c_truthteller-{F}(V13), a_truth-{F}(V8), a_truth-{F}(V12) | an_answer-{T}(V13)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #19: input, references = 4, size of lhs = 18:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), P_says-{F}(V3,V8,V9), P_liar-{F}(V3,V10), P_b_and_c_liars-{F}(V11), P_truthteller-{F}(V3,V12), P_b_liar_and_c_truthteller-{F}(V13), P_truthteller-{F}(V2,V14), P_b_truthteller_and_c_liar-{F}(V15), a_truth-{F}(V14), a_truth-{F}(V10) | an_answer-{T}(V15)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #20: input, references = 4, size of lhs = 19:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), P_says-{F}(V3,V8,V9), P_liar-{F}(V3,V10), P_b_and_c_liars-{F}(V11), P_truthteller-{F}(V3,V12), P_b_liar_and_c_truthteller-{F}(V13), P_truthteller-{F}(V2,V14), P_b_truthteller_and_c_liar-{F}(V15), P_b_and_c_truthtellers-{F}(V16), a_truth-{F}(V14), a_truth-{F}(V12) | an_answer-{T}(V16)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #21: input, references = 7, size of lhs = 18:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), P_says-{F}(V3,V8,V9), P_liar-{F}(V3,V10), P_b_and_c_liars-{F}(V11), P_truthteller-{F}(V3,V12), P_b_liar_and_c_truthteller-{F}(V13), P_truthteller-{F}(V2,V14), P_b_truthteller_and_c_liar-{F}(V15), P_b_and_c_truthtellers-{F}(V16), an_answer-{F}(V17) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #22: input, references = 12, size of lhs = 1:
% 1.37/1.55     #-{F} V0 | EXISTS V1: P_truthteller-{T}(V0,V1)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #23: input, references = 19, size of lhs = 1:
% 1.37/1.55     #-{F} V0 | EXISTS V1: P_liar-{T}(V0,V1)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #24: input, references = 27, size of lhs = 2:
% 1.37/1.55     #-{F} V0, #-{F} V1 | EXISTS V2: P_says-{T}(V0,V1,V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #25: input, references = 4, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_one_truthteller-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #26: input, references = 4, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_a-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #27: input, references = 4, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_b-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #28: input, references = 4, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_c-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #29: input, references = 5, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_garbage-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #30: input, references = 5, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_b_and_c_liars-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #31: input, references = 5, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_b_liar_and_c_truthteller-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #32: input, references = 5, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_b_truthteller_and_c_liar-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #33: input, references = 5, size of lhs = 0:
% 1.37/1.55     FALSE | EXISTS V0: P_b_and_c_truthtellers-{T}(V0)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  number of initial rules = 34
% 1.37/1.55  
% 1.37/1.55  Simplifiers:
% 1.37/1.55  #34: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     people-{F}(V0,V1,V2), people-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #35: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     people-{F}(V0,V1,V2), people-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #36: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     people-{F}(V0,V1,V2), people-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #37: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_truthteller-{F}(V0,V1), P_truthteller-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #38: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_liar-{F}(V0,V1), P_liar-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #39: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_says-{F}(V0,V1,V2), P_says-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #40: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_one_truthteller-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #41: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #42: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #43: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #44: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_garbage-{F}(V0), P_garbage-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #45: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_and_c_liars-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #46: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_b_liar_and_c_truthteller-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #47: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_b_truthteller_and_c_liar-{F}(V0), P_b_truthteller_and_c_liar-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #48: unsound, references = 3, size of lhs = 3:
% 1.37/1.55     P_b_and_c_truthtellers-{F}(V0), P_b_and_c_truthtellers-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  number of simplifiers = 15
% 1.37/1.55  
% 1.37/1.55  Learnt:
% 1.37/1.55  #50: disj( #0, input ), references = 1, size of lhs = 4:
% 1.37/1.55     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)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #57: exists( #24, #51 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V0,V5), P_says-{F}(V2,V5,V6), P_liar-{F}(V7,V6), P_says-{F}(V7,V6,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #58: exists( #24, #52 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V0,V5), P_says-{F}(V2,V5,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8), a_truth-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #60: mergings( V3 == V7; #56 ), references = 1, size of lhs = 12:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_one_truthteller-{F}(V4), P_says-{F}(V0,V4,V5), P_says-{F}(V1,V5,V4), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), a_truth-{F}(V8), P_truthteller-{F}(V9,V8), people-{F}(V9,V7,V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #81: mergings( V14 == V28, V8 == V22, V3 == V17, V4 == V18, V5 == V19, V12 == V26, V10 == V24, V9 == V23, V6 == V20, V7 == V21, V11 == V25, V13 == V27, V15 == V29, V16 == V30; #66 ), references = 1, size of lhs = 18:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V2,V4), P_b-{F}(V5), P_truthteller-{F}(V5,V1), P_c-{F}(V6), P_truthteller-{F}(V6,V0), P_garbage-{F}(V7), P_says-{F}(V3,V7,V8), P_liar-{F}(V5,V9), P_says-{F}(V6,V9,V10), P_liar-{F}(V6,V11), P_b_and_c_liars-{F}(V12), P_b_liar_and_c_truthteller-{F}(V13), P_b_truthteller_and_c_liar-{F}(V14), P_b_and_c_truthtellers-{F}(V15) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #94: mergings( V10 == V24, V15 == V18, V3 == V13, V4 == V17, V8 == V22, V6 == V20, V16 == V19, V7 == V21, V9 == V23, V11 == V25, V12 == V26; #82 ), references = 2, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V2,V4), P_b-{F}(V5), P_truthteller-{F}(V5,V1), P_c-{F}(V6), P_truthteller-{F}(V6,V0), P_garbage-{F}(V7), P_liar-{F}(V5,V8), P_says-{F}(V6,V8,V9), P_liar-{F}(V6,V10), P_b_and_c_liars-{F}(V11), P_b_liar_and_c_truthteller-{F}(V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #103: mergings( V5 == V14, V7 == V16, V3 == V12, V4 == V13, V6 == V15, V8 == V17, V9 == V18; #95 ), references = 1, size of lhs = 15:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_c-{F}(V3), P_truthteller-{F}(V3,V0), P_b-{F}(V4), P_liar-{F}(V4,V2), P_truthteller-{F}(V4,V1), P_garbage-{F}(V5), P_liar-{F}(V3,V6), P_b_and_c_liars-{F}(V7), P_b_liar_and_c_truthteller-{F}(V8), P_b_truthteller_and_c_liar-{F}(V9), P_b_and_c_truthtellers-{F}(V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #107: disj( #0, mergings( V5 == V14, V7 == V16, V3 == V12, V4 == V13, V6 == V15, V8 == V17, V9 == V18; #95 ) ), references = 1, size of lhs = 15:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V2), P_liar-{F}(V3,V4), P_b-{F}(V5), P_liar-{F}(V5,V0), P_truthteller-{F}(V5,V2), P_garbage-{F}(V6), P_liar-{F}(V1,V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | a_truth-{T}(V4)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #117: disj( #6, input, input ), references = 1, size of lhs = 12:
% 1.37/1.55     P_one_truthteller-{F}(V0), a_truth-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V1), P_truthteller-{F}(V2,V3), a_truth-{F}(V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_truthteller-{F}(V8,V3), people-{F}(V9,V7,V8), P_truthteller-{F}(V9,V10) | a_truth-{T}(V10)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #123: mergings( V5 == V11, V3 == V10, V1 == V12, V6 == V4, V0 == V9; #109 ), references = 7, size of lhs = 9:
% 1.37/1.55     a_truth-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V3), a_truth-{F}(V3), P_truthteller-{F}(V4,V2), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), people-{F}(V7,V5,V4) | a_truth-{T}(V6)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #130: mergings( V5 == V11, V3 == V12, V1 == V10, V2 == V4, V6 == V4, V0 == V9; #110 ), references = 1, size of lhs = 9:
% 1.37/1.55     a_truth-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V3), a_truth-{F}(V3), P_truthteller-{F}(V4,V2), P_truthteller-{F}(V5,V2), people-{F}(V5,V4,V6), P_truthteller-{F}(V6,V2) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #143: disj( #0, #123+#1 ), references = 1, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_liar-{F}(V3,V0), P_truthteller-{F}(V3,V4), P_liar-{F}(V5,V0), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_truthteller-{F}(V8,V6), people-{F}(V8,V7,V9), P_truthteller-{F}(V9,V4) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #147: mergings( V8 == V10, V6 == V9, V5 == V11; #141 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_liar-{F}(V3,V0), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V8,V7), people-{F}(V8,V6,V5) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #152: mergings( V8 == V9, V6 == V11, V5 == V10, V4 == V7; #142 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_liar-{F}(V3,V0), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_truthteller-{F}(V6,V4), people-{F}(V6,V5,V7), P_truthteller-{F}(V7,V4) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #166: exists( #24, #94 ), references = 2, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V2,V4), P_b-{F}(V5), P_truthteller-{F}(V5,V1), P_c-{F}(V6), P_truthteller-{F}(V6,V0), P_garbage-{F}(V7), P_liar-{F}(V5,V8), P_liar-{F}(V6,V9), P_b_and_c_liars-{F}(V10), P_b_liar_and_c_truthteller-{F}(V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #168: exists( #24, #164 ), references = 3, size of lhs = 15:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_truthteller-{F}(V4,V1), P_c-{F}(V5), P_truthteller-{F}(V5,V0), P_garbage-{F}(V6), P_liar-{F}(V4,V7), P_liar-{F}(V5,V8), P_b_and_c_liars-{F}(V9), P_b_liar_and_c_truthteller-{F}(V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #171: mergings( V3 == V2; #169 ), references = 1, size of lhs = 11:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), P_truthteller-{F}(V3,V0), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7), P_b_and_c_truthtellers-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #177: disj( #0, #2+#1 ), references = 1, size of lhs = 6:
% 1.37/1.55     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_says-{F}(V3,V5,V1) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #178: disj( #0, #2+#3 ), references = 1, size of lhs = 6:
% 1.37/1.55     P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_says-{F}(V3,V4,V1), P_liar-{F}(V5,V4), P_says-{F}(V5,V4,V1) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #182: disj( #0, input ), references = 1, size of lhs = 4:
% 1.37/1.55     P_truthteller-{F}(V0,V1), P_liar-{F}(V0,V2), P_truthteller-{F}(V3,V1), P_liar-{F}(V3,V1) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #183: disj( #0, mergings( V3 == V2; #169 ) ), references = 5, size of lhs = 12:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_truthteller-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_garbage-{F}(V6), P_b_and_c_liars-{F}(V7), P_b_liar_and_c_truthteller-{F}(V8), P_b_truthteller_and_c_liar-{F}(V9), P_b_and_c_truthtellers-{F}(V10) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #184: disj( #0, exists( #24, #164 ) ), references = 1, size of lhs = 15:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{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,V3), P_garbage-{F}(V7), P_liar-{F}(V2,V8), P_liar-{F}(V6,V9), P_b_and_c_liars-{F}(V10), P_b_liar_and_c_truthteller-{F}(V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #197: disj( #0, #123+#1 ), references = 1, size of lhs = 13:
% 1.37/1.55     a_truth-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), a_truth-{F}(V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V8), people-{F}(V10,V9,V11), P_truthteller-{F}(V11,V2) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #201: mergings( V9 == V11, V7 == V10, V6 == V12; #195 ), references = 1, size of lhs = 10:
% 1.37/1.55     a_truth-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V2), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), people-{F}(V9,V7,V6) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #206: mergings( V9 == V10, V7 == V12, V6 == V11, V5 == V8; #196 ), references = 1, size of lhs = 10:
% 1.37/1.55     a_truth-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V2), P_truthteller-{F}(V7,V2), people-{F}(V7,V6,V8), P_truthteller-{F}(V8,V2) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #209: exists( #24, #207 ), references = 3, size of lhs = 8:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), a_truth-{F}(V4), a_truth-{F}(V5), P_liar-{F}(V1,V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #221: mergings( V5 == V11, V11 == V15, V2 == V12, V12 == V19, V3 == V0, V4 == V20, V20 == V21, V6 == V14; #212 ), references = 1, size of lhs = 17:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_garbage-{F}(V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_one_truthteller-{F}(V6), P_a-{F}(V7), P_truthteller-{F}(V7,V8), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V8), people-{F}(V10,V9,V11), P_truthteller-{F}(V11,V8), P_b-{F}(V12), P_truthteller-{F}(V12,V8), P_c-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #229: mergings( V2 == V9, V9 == V12, V3 == V0, V0 == V13, V13 == V14, V4 == V11; #222 ), references = 1, size of lhs = 12:
% 1.37/1.55     P_a-{F}(V0), people-{F}(V0,V0,V0), P_b-{F}(V0), P_c-{F}(V0), P_b_and_c_liars-{F}(V1), P_b_liar_and_c_truthteller-{F}(V2), P_b_truthteller_and_c_liar-{F}(V3), P_b_and_c_truthtellers-{F}(V4), P_garbage-{F}(V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_one_truthteller-{F}(V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #237: disj( #0, mergings( V3 == V2; #169 ) ), references = 1, size of lhs = 12:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_truthteller-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_garbage-{F}(V6), P_b_and_c_liars-{F}(V7), P_b_liar_and_c_truthteller-{F}(V8), P_b_truthteller_and_c_liar-{F}(V9), P_b_and_c_truthtellers-{F}(V10) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #238: disj( #0, input ), references = 4, size of lhs = 5:
% 1.37/1.55     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)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #252: mergings( V2 == V11, V3 == V0, V4 == V12, V12 == V13, V6 == V14; #246 ), references = 1, size of lhs = 12:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), P_b-{F}(V7), P_truthteller-{F}(V7,V6), P_c-{F}(V7), P_garbage-{F}(V8), a_truth-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #264: exists( #24, #261 ), references = 2, size of lhs = 12:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_says-{F}(V2,V6,V7), P_liar-{F}(V2,V8), a_truth-{F}(V8), a_truth-{F}(V9), P_liar-{F}(V3,V9) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #274: mergings( V10 == V19, V3 == V12, V4 == V13, V8 == V17, V5 == V14, V9 == V18, V6 == V15, V7 == V16, V11 == V20; #263 ), references = 2, size of lhs = 18:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_liar-{F}(V5,V1), P_garbage-{F}(V6), P_says-{F}(V3,V6,V7), P_says-{F}(V3,V2,V8), P_says-{F}(V4,V8,V9), P_b_and_c_liars-{F}(V10), P_truthteller-{F}(V5,V11), P_b_liar_and_c_truthteller-{F}(V12), P_truthteller-{F}(V4,V13), P_b_truthteller_and_c_liar-{F}(V14), P_b_and_c_truthtellers-{F}(V15) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #277: exists( #24, #262 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_says-{F}(V1,V0,V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), a_truth-{F}(V5), P_liar-{F}(V2,V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #281: mergings( V5 == V9, V3 == V7, V6 == V10; #276 ), references = 1, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), P_liar-{F}(V3,V0), P_garbage-{F}(V4), P_says-{F}(V3,V2,V4), P_c-{F}(V5), P_liar-{F}(V5,V1), P_b_and_c_liars-{F}(V6), P_truthteller-{F}(V5,V7), P_b_liar_and_c_truthteller-{F}(V8), P_truthteller-{F}(V3,V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #293: exists( #24, #264 ), references = 1, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V4,V5), P_says-{F}(V1,V0,V6), P_liar-{F}(V2,V7), a_truth-{F}(V7), a_truth-{F}(V8), P_liar-{F}(V3,V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #294: exists( #24, #274 ), references = 1, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_liar-{F}(V5,V1), P_garbage-{F}(V6), P_says-{F}(V3,V6,V7), P_says-{F}(V3,V2,V8), P_b_and_c_liars-{F}(V9), P_truthteller-{F}(V5,V10), P_b_liar_and_c_truthteller-{F}(V11), P_truthteller-{F}(V4,V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #297: exists( #24, #291 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V0,V5), P_liar-{F}(V2,V6), a_truth-{F}(V6), a_truth-{F}(V7), P_liar-{F}(V3,V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #298: exists( #24, #292 ), references = 1, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_liar-{F}(V5,V1), P_garbage-{F}(V6), P_says-{F}(V3,V2,V7), P_b_and_c_liars-{F}(V8), P_truthteller-{F}(V5,V9), P_b_liar_and_c_truthteller-{F}(V10), P_truthteller-{F}(V4,V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #301: exists( #24, #295 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), a_truth-{F}(V6), P_liar-{F}(V3,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #302: exists( #24, #296 ), references = 1, size of lhs = 15:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_liar-{F}(V5,V1), P_garbage-{F}(V6), P_b_and_c_liars-{F}(V7), P_truthteller-{F}(V5,V8), P_b_liar_and_c_truthteller-{F}(V9), P_truthteller-{F}(V4,V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #311: mergings( V2 == V11, V3 == V12, V4 == V0, V6 == V13; #305 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), P_c-{F}(V6), P_truthteller-{F}(V6,V7), P_garbage-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #322: mergings( V5 == V15, V15 == V17, V2 == V11, V3 == V12, V4 == V0, V6 == V13, V7 == V14, V8 == V16, V9 == V18, V10 == V19; #306 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_garbage-{F}(V3), P_b_and_c_liars-{F}(V4), P_b_liar_and_c_truthteller-{F}(V5), P_truthteller-{F}(V2,V6), P_b_truthteller_and_c_liar-{F}(V7), P_b_and_c_truthtellers-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #328: mergings( V2 == V9, V3 == V10, V4 == V11; #323 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), P_c-{F}(V6), P_garbage-{F}(V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #336: mergings( V2 == V9, V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15; #324 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_garbage-{F}(V3), P_b_and_c_liars-{F}(V4), P_b_liar_and_c_truthteller-{F}(V5), P_b_truthteller_and_c_liar-{F}(V6), P_b_and_c_truthtellers-{F}(V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #342: mergings( V1 == V7, V2 == V8, V3 == V10; #337 ), references = 1, size of lhs = 8:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_one_truthteller-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), P_c-{F}(V5), P_garbage-{F}(V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #349: mergings( V1 == V7, V2 == V8, V3 == V10, V4 == V11, V5 == V12, V6 == V13; #338 ), references = 1, size of lhs = 8:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_garbage-{F}(V3), P_b_and_c_liars-{F}(V4), P_b_liar_and_c_truthteller-{F}(V5), P_b_truthteller_and_c_liar-{F}(V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #355: mergings( V1 == V6, V2 == V7, V3 == V9; #350 ), references = 1, size of lhs = 7:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V4), P_garbage-{F}(V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #361: mergings( V1 == V5, V2 == V6, V3 == V8; #356 ), references = 1, size of lhs = 6:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), P_garbage-{F}(V4) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #367: mergings( V1 == V4, V2 == V5, V3 == V7; #362 ), references = 1, size of lhs = 5:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_garbage-{F}(V3) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #372: mergings( V1 == V3, V2 == V4; #368 ), references = 1, size of lhs = 4:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #381: disj( #0, exists( #24, #207 ) ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), a_truth-{F}(V7), P_liar-{F}(V1,V7) | a_truth-{T}(V6)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #382: disj( #0, exists( #24, #295 ) ), references = 16, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_liar-{F}(V3,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8) | a_truth-{T}(V8)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #383: disj( #0, exists( #24, #296 ) ), references = 1, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V0), P_c-{F}(V4), P_liar-{F}(V4,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_garbage-{F}(V8), P_b_and_c_liars-{F}(V9), P_truthteller-{F}(V4,V10), P_b_liar_and_c_truthteller-{F}(V11), P_truthteller-{F}(V3,V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #387: exists( #23, #385 ), references = 2, size of lhs = 12:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_truthteller-{F}(V3,V6), a_truth-{F}(V7), P_liar-{F}(V8,V7), a_truth-{F}(V9), P_says-{F}(V8,V9,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #396: mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V11, V5 == V7; #390 ), references = 1, size of lhs = 10:
% 1.37/1.55     a_truth-{F}(V0), P_garbage-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V1), a_truth-{F}(V6), P_liar-{F}(V3,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #403: exists( #23, #398 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_truthteller-{F}(V3,V6), P_liar-{F}(V7,V6), P_says-{F}(V7,V6,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #404: exists( #23, #397 ), references = 1, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_truthteller-{F}(V3,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8), a_truth-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #412: mergings( V2 == V8, V3 == V9, V4 == V10, V6 == V13, V0 == V11, V7 == V14, V5 == V12; #402 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_truthteller-{F}(V3,V6), P_liar-{F}(V7,V6), P_says-{F}(V7,V6,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #429: disj( #12, input, input ), references = 4, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V0), P_says-{F}(V2,V0,V0), P_truthteller-{F}(V3,V1), P_truthteller-{F}(V4,V5), people-{F}(V6,V4,V3), P_truthteller-{F}(V6,V7), P_liar-{F}(V8,V5), P_says-{F}(V8,V5,V5) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #430: disj( #12, input, input ), references = 1, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V0), P_truthteller-{F}(V2,V3), a_truth-{F}(V3), P_truthteller-{F}(V4,V1), P_truthteller-{F}(V5,V6), people-{F}(V7,V5,V4), P_truthteller-{F}(V7,V8), P_liar-{F}(V9,V6), P_says-{F}(V9,V6,V6) | a_truth-{T}(V8)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #431: disj( #12, input, input ), references = 1, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V0), P_says-{F}(V2,V0,V0), a_truth-{F}(V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_truthteller-{F}(V7,V1), people-{F}(V8,V6,V7), P_truthteller-{F}(V8,V9) | a_truth-{T}(V9)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #458: mergings( V2 == V8; #454 ), references = 1, size of lhs = 18:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), P_one_truthteller-{F}(V6), P_liar-{F}(V7,V6), P_says-{F}(V7,V6,V6), P_truthteller-{F}(V8,V5), P_truthteller-{F}(V9,V10), people-{F}(V11,V9,V8), P_truthteller-{F}(V11,V12), P_liar-{F}(V13,V10), P_says-{F}(V13,V10,V10), P_liar-{F}(V14,V12), P_says-{F}(V14,V12,V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #460: mergings( V2 == V8; #455 ), references = 1, size of lhs = 19:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), P_one_truthteller-{F}(V6), P_liar-{F}(V7,V6), P_says-{F}(V7,V6,V6), a_truth-{F}(V8), P_truthteller-{F}(V9,V8), P_liar-{F}(V9,V10), P_truthteller-{F}(V11,V10), P_truthteller-{F}(V12,V5), people-{F}(V11,V13,V12), P_truthteller-{F}(V13,V14), P_liar-{F}(V15,V14), P_says-{F}(V15,V14,V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #467: mergings( V13 == V11, V12 == V16, V14 == V15, V10 == V17, V2 == V8, V8 == V17; #456 ), references = 1, size of lhs = 16:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), P_one_truthteller-{F}(V6), P_liar-{F}(V7,V6), P_says-{F}(V7,V6,V6), P_truthteller-{F}(V8,V6), P_truthteller-{F}(V9,V6), people-{F}(V8,V9,V10), P_truthteller-{F}(V10,V5), P_liar-{F}(V11,V6), P_says-{F}(V11,V6,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #472: mergings( V2 == V7; #468 ), references = 1, size of lhs = 16:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_one_truthteller-{F}(V5), P_liar-{F}(V6,V5), P_says-{F}(V6,V5,V5), P_truthteller-{F}(V7,V8), people-{F}(V9,V7,V2), P_truthteller-{F}(V9,V10), P_liar-{F}(V11,V8), P_says-{F}(V11,V8,V8), P_liar-{F}(V12,V10), P_says-{F}(V12,V10,V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #474: mergings( V2 == V7; #469 ), references = 1, size of lhs = 17:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_one_truthteller-{F}(V5), P_liar-{F}(V6,V5), P_says-{F}(V6,V5,V5), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V9), P_truthteller-{F}(V10,V9), people-{F}(V10,V11,V2), P_truthteller-{F}(V11,V12), P_liar-{F}(V13,V12), P_says-{F}(V13,V12,V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #481: mergings( V12 == V10, V11 == V14, V13 == V0, V9 == V15, V2 == V7, V7 == V15; #470 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_one_truthteller-{F}(V5), P_liar-{F}(V6,V5), P_says-{F}(V6,V5,V5), P_truthteller-{F}(V7,V5), people-{F}(V7,V8,V2), P_truthteller-{F}(V8,V5), P_liar-{F}(V9,V5), P_says-{F}(V9,V5,V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #489: disj( #0, mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V11, V5 == V7; #390 ) ), references = 4, size of lhs = 10:
% 1.37/1.55     P_garbage-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V2,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_c-{F}(V7), P_truthteller-{F}(V7,V0) | a_truth-{T}(V6)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #494: disj( #0, input ), references = 1, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V0), P_truthteller-{F}(V4,V0), people-{F}(V4,V3,V5) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #495: disj( #0, input ), references = 1, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V0), P_truthteller-{F}(V4,V0), people-{F}(V3,V5,V4) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #496: disj( #0, input ), references = 1, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_liar-{F}(V1,V0), P_truthteller-{F}(V1,V2), P_truthteller-{F}(V3,V0), P_truthteller-{F}(V4,V0), people-{F}(V5,V3,V4) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #524: exists( #23, #519 ), references = 1, size of lhs = 13:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_truthteller-{F}(V3,V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_says-{F}(V8,V9,V6), P_liar-{F}(V10,V9), P_says-{F}(V10,V9,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #525: exists( #23, #518 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), a_truth-{F}(V5), P_truthteller-{F}(V3,V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), a_truth-{F}(V9), P_truthteller-{F}(V10,V9), P_liar-{F}(V10,V11), P_says-{F}(V8,V11,V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #527: mergings( V2 == V10; #523 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), P_one_truthteller-{F}(V8), P_says-{F}(V7,V8,V5), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V8), people-{F}(V10,V9,V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #537: disj( #12, input, input ), references = 1, size of lhs = 12:
% 1.37/1.55     P_one_truthteller-{F}(V0), a_truth-{F}(V1), P_liar-{F}(V2,V0), P_truthteller-{F}(V2,V3), a_truth-{F}(V3), a_truth-{F}(V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_truthteller-{F}(V8,V1), people-{F}(V9,V7,V8), P_truthteller-{F}(V9,V10) | a_truth-{T}(V10)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #543: mergings( V8 == V5, V7 == V3, V9 == V1, V0 == V4, V4 == V6; #531 ), references = 4, size of lhs = 9:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), a_truth-{F}(V2), P_truthteller-{F}(V3,V2), P_liar-{F}(V3,V1), P_truthteller-{F}(V4,V1), P_truthteller-{F}(V5,V1), people-{F}(V5,V4,V6), P_truthteller-{F}(V6,V0) | a_truth-{T}(V1)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #549: mergings( V10 == V5, V9 == V3, V11 == V1, V4 == V6, V0 == V6; #529 ), references = 1, size of lhs = 9:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_truthteller-{F}(V2,V1), P_liar-{F}(V2,V3), P_one_truthteller-{F}(V3), P_truthteller-{F}(V4,V3), P_truthteller-{F}(V5,V3), people-{F}(V5,V4,V6), P_truthteller-{F}(V6,V0) | a_truth-{T}(V3)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #575: mergings( V2 == V8; #571 ), references = 1, size of lhs = 18:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), P_one_truthteller-{F}(V6), a_truth-{F}(V7), P_truthteller-{F}(V8,V7), P_liar-{F}(V8,V6), P_truthteller-{F}(V9,V6), P_truthteller-{F}(V10,V6), people-{F}(V10,V9,V11), P_truthteller-{F}(V11,V5), P_liar-{F}(V12,V6), P_truthteller-{F}(V12,V13), a_truth-{F}(V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #580: mergings( V12 == V15, V11 == V14, V13 == V16, V2 == V10; #572 ), references = 1, size of lhs = 15:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_one_truthteller-{F}(V8), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V8), people-{F}(V10,V9,V11), P_truthteller-{F}(V11,V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #585: mergings( V12 == V14, V11 == V16, V13 == V15, V2 == V10; #573 ), references = 1, size of lhs = 15:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_truthteller-{F}(V2,V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_one_truthteller-{F}(V8), P_truthteller-{F}(V9,V8), P_truthteller-{F}(V10,V8), people-{F}(V10,V9,V11), P_truthteller-{F}(V11,V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #592: mergings( V11 == V12, V10 == V13, V2 == V9; #588 ), references = 2, size of lhs = 13:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_one_truthteller-{F}(V7), P_truthteller-{F}(V8,V7), P_truthteller-{F}(V9,V7), people-{F}(V9,V8,V2) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #594: mergings( V2 == V7; #586 ), references = 1, size of lhs = 16:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), P_one_truthteller-{F}(V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V5), P_truthteller-{F}(V8,V5), P_truthteller-{F}(V9,V5), people-{F}(V9,V8,V2), P_liar-{F}(V10,V5), P_truthteller-{F}(V10,V11), a_truth-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #599: mergings( V11 == V13, V10 == V12, V0 == V14, V2 == V9; #587 ), references = 2, size of lhs = 13:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), P_liar-{F}(V1,V4), a_truth-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_one_truthteller-{F}(V7), P_truthteller-{F}(V8,V7), P_truthteller-{F}(V9,V7), people-{F}(V9,V8,V2) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #619: mergings( V6 == V8, V3 == V10; #614 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_garbage-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V1,V3), P_c-{F}(V4), P_truthteller-{F}(V4,V0), P_truthteller-{F}(V5,V3), P_liar-{F}(V6,V3), P_truthteller-{F}(V6,V7), P_one_truthteller-{F}(V7), P_truthteller-{F}(V8,V7), P_truthteller-{F}(V9,V7), people-{F}(V9,V8,V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #621: mergings( V6 == V8; #615 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_garbage-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V2,V4), P_c-{F}(V5), P_truthteller-{F}(V5,V0), P_truthteller-{F}(V6,V4), P_liar-{F}(V7,V4), P_truthteller-{F}(V7,V8), P_liar-{F}(V9,V8), P_truthteller-{F}(V9,V10), a_truth-{F}(V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #623: mergings( V6 == V8; #616 ), references = 1, size of lhs = 15:
% 1.37/1.55     P_garbage-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V2,V4), P_c-{F}(V5), P_truthteller-{F}(V5,V0), P_truthteller-{F}(V6,V4), P_liar-{F}(V7,V4), P_truthteller-{F}(V7,V8), P_liar-{F}(V9,V8), a_truth-{F}(V10), a_truth-{F}(V11), P_says-{F}(V9,V11,V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #627: disj( #0, input ), references = 1, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_truthteller-{F}(V1,V0), P_liar-{F}(V1,V2), P_truthteller-{F}(V3,V0), P_truthteller-{F}(V4,V0), people-{F}(V4,V3,V5) | a_truth-{T}(V2)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #628: disj( #0, input ), references = 1, size of lhs = 5:
% 1.37/1.55     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)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #629: disj( #0, input ), references = 1, size of lhs = 6:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_says-{F}(V2,V1,V0), P_liar-{F}(V2,V3), P_truthteller-{F}(V4,V3), P_liar-{F}(V4,V5) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #639: mergings( V4 == V13, V3 == V12, V5 == V7, V2 == V11; #633 ), references = 1, size of lhs = 12:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V2), P_truthteller-{F}(V7,V2), P_truthteller-{F}(V8,V2), people-{F}(V8,V7,V3) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #644: mergings( V4 == V13, V3 == V12, V5 == V7, V2 == V11; #634 ), references = 1, size of lhs = 12:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_truthteller-{F}(V1,V2), P_one_truthteller-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V2), P_truthteller-{F}(V7,V2), P_truthteller-{F}(V8,V2), people-{F}(V8,V7,V3) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #649: exists( #23, #168 ), references = 3, size of lhs = 14:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_truthteller-{F}(V4,V1), P_c-{F}(V5), P_truthteller-{F}(V5,V0), P_garbage-{F}(V6), P_liar-{F}(V4,V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #655: disj( #0, mergings( V2 == V8, V3 == V9, V4 == V10, V0 == V11, V5 == V7; #390 ) ), references = 1, size of lhs = 10:
% 1.37/1.55     P_garbage-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V4), P_liar-{F}(V2,V4), P_liar-{F}(V5,V4), P_truthteller-{F}(V5,V6), P_c-{F}(V7), P_truthteller-{F}(V7,V0) | a_truth-{T}(V6)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #656: disj( #0, exists( #23, #385 ) ), references = 1, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7), P_truthteller-{F}(V3,V8), P_liar-{F}(V9,V5), P_says-{F}(V9,V5,V8) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #683: mergings( V3 == V8, V0 == V9, V4 == V10, V5 == V11, V1 == V12; #675 ), references = 1, size of lhs = 15:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_truthteller-{F}(V3,V0), P_b-{F}(V4), P_truthteller-{F}(V4,V1), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_garbage-{F}(V6), P_liar-{F}(V4,V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #688: disj( #0, exists( #24, #295 ) ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_liar-{F}(V2,V5), P_liar-{F}(V3,V5), P_liar-{F}(V6,V5), P_truthteller-{F}(V6,V7) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #689: disj( #0, exists( #24, #296 ) ), references = 1, size of lhs = 15:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_c-{F}(V6), P_liar-{F}(V6,V3), P_garbage-{F}(V7), P_b_and_c_liars-{F}(V8), P_truthteller-{F}(V6,V9), P_b_liar_and_c_truthteller-{F}(V10), P_truthteller-{F}(V2,V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #690: disj( #0, exists( #24, #291 ) ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_says-{F}(V1,V0,V5), P_liar-{F}(V2,V6), P_liar-{F}(V3,V6), P_liar-{F}(V7,V6), P_truthteller-{F}(V7,V8) | a_truth-{T}(V8)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #713: mergings( V12 == V23, V10 == V21, V3 == V14, V4 == V15, V8 == V19, V5 == V16, V9 == V20, V6 == V17, V7 == V18, V11 == V22, V13 == V24; #701 ), references = 1, size of lhs = 18:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V1), P_garbage-{F}(V6), P_says-{F}(V3,V6,V7), P_says-{F}(V3,V2,V8), P_says-{F}(V4,V8,V9), P_liar-{F}(V5,V10), P_b_and_c_liars-{F}(V11), P_b_liar_and_c_truthteller-{F}(V12), P_truthteller-{F}(V4,V13), P_b_truthteller_and_c_liar-{F}(V14), P_b_and_c_truthtellers-{F}(V15) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #723: mergings( V9 == V19, V14 == V17, V3 == V11, V5 == V15, V4 == V12, V6 == V16, V8 == V18, V10 == V20; #714 ), references = 2, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_liar-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V1), P_garbage-{F}(V6), P_says-{F}(V3,V2,V7), P_says-{F}(V4,V7,V8), P_liar-{F}(V5,V9), P_b_and_c_liars-{F}(V10), P_b_liar_and_c_truthteller-{F}(V11), P_truthteller-{F}(V4,V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #732: mergings( V2 == V9, V3 == V10, V4 == V11, V6 == V8, V5 == V12; #726 ), references = 1, size of lhs = 15:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V0), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_garbage-{F}(V6), P_says-{F}(V2,V1,V7), P_says-{F}(V3,V7,V8), P_b_and_c_liars-{F}(V9), P_b_liar_and_c_truthteller-{F}(V10), P_truthteller-{F}(V3,V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #739: mergings( V3 == V9, V4 == V10, V5 == V0, V7 == V8, V6 == V13; #733 ), references = 2, size of lhs = 14:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V0), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_garbage-{F}(V6), P_says-{F}(V2,V1,V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_truthteller-{F}(V3,V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #765: exists( #24, #760 ), references = 2, size of lhs = 11:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V1,V5), a_truth-{F}(V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V1,V8), P_says-{F}(V7,V8,V4) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #766: exists( #24, #759 ), references = 2, size of lhs = 13:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), a_truth-{F}(V5), P_truthteller-{F}(V1,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
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #768: mergings( V3 == V9; #764 ), references = 2, size of lhs = 15:
% 1.37/1.55     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_garbage-{F}(V3), a_truth-{F}(V4), P_truthteller-{F}(V0,V4), a_truth-{F}(V5), P_truthteller-{F}(V6,V5), P_one_truthteller-{F}(V7), P_says-{F}(V6,V7,V3), a_truth-{F}(V8), P_truthteller-{F}(V9,V8), a_truth-{F}(V10), P_truthteller-{F}(V11,V10), people-{F}(V11,V9,V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #775: disj( #0, mergings( V3 == V9, V4 == V10, V5 == V0, V7 == V8, V6 == V13; #733 ) ), references = 4, size of lhs = 15:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_liar-{F}(V2,V3), P_liar-{F}(V4,V3), P_truthteller-{F}(V4,V5), P_c-{F}(V6), P_truthteller-{F}(V6,V7), P_garbage-{F}(V8), P_says-{F}(V1,V0,V9), P_b_and_c_liars-{F}(V10), P_b_liar_and_c_truthteller-{F}(V11), P_truthteller-{F}(V2,V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | a_truth-{T}(V5)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #787: mergings( V1 == V15, V0 == V16, V3 == V17, V7 == V18, V9 == V19; #779 ), references = 1, size of lhs = 18:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_b-{F}(V9), P_liar-{F}(V9,V8), P_truthteller-{F}(V9,V10), P_c-{F}(V11), P_truthteller-{F}(V11,V12), P_garbage-{F}(V13), P_truthteller-{F}(V14,V6), P_liar-{F}(V5,V15), P_says-{F}(V14,V15,V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #793: mergings( V1 == V15, V0 == V16, V3 == V17, V7 == V18, V9 == V19; #780 ), references = 1, size of lhs = 19:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_b-{F}(V9), P_liar-{F}(V9,V8), P_truthteller-{F}(V9,V10), P_c-{F}(V11), P_truthteller-{F}(V11,V12), P_garbage-{F}(V13), P_truthteller-{F}(V14,V6), P_truthteller-{F}(V15,V6), P_liar-{F}(V15,V16), P_says-{F}(V14,V16,V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #799: mergings( V1 == V20, V0 == V15, V3 == V16, V7 == V17, V9 == V18; #781 ), references = 1, size of lhs = 20:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_b-{F}(V8), P_liar-{F}(V8,V7), P_truthteller-{F}(V8,V9), P_c-{F}(V10), P_truthteller-{F}(V10,V11), P_garbage-{F}(V12), P_truthteller-{F}(V13,V5), P_one_truthteller-{F}(V14), P_says-{F}(V13,V14,V12), P_truthteller-{F}(V15,V5), P_truthteller-{F}(V16,V5), people-{F}(V16,V15,V17) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #808: mergings( V2 == V14, V3 == V15, V4 == V16, V0 == V17, V8 == V18; #800 ), references = 1, size of lhs = 17:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_b-{F}(V9), P_liar-{F}(V9,V8), P_truthteller-{F}(V9,V10), P_c-{F}(V11), P_garbage-{F}(V12), P_truthteller-{F}(V13,V6), P_liar-{F}(V5,V14), P_says-{F}(V13,V14,V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #814: mergings( V2 == V14, V3 == V15, V4 == V16, V0 == V17, V8 == V18; #801 ), references = 1, size of lhs = 18:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_one_truthteller-{F}(V4), P_a-{F}(V5), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_b-{F}(V9), P_liar-{F}(V9,V8), P_truthteller-{F}(V9,V10), P_c-{F}(V11), P_garbage-{F}(V12), P_truthteller-{F}(V13,V6), P_truthteller-{F}(V14,V6), P_liar-{F}(V14,V15), P_says-{F}(V13,V15,V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #820: mergings( V2 == V19, V3 == V14, V4 == V15, V0 == V16, V8 == V17; #802 ), references = 1, size of lhs = 19:
% 1.37/1.55     P_b_and_c_liars-{F}(V0), P_b_liar_and_c_truthteller-{F}(V1), P_b_truthteller_and_c_liar-{F}(V2), P_b_and_c_truthtellers-{F}(V3), P_a-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_b-{F}(V8), P_liar-{F}(V8,V7), P_truthteller-{F}(V8,V9), P_c-{F}(V10), P_garbage-{F}(V11), P_truthteller-{F}(V12,V5), P_one_truthteller-{F}(V13), P_says-{F}(V12,V13,V11), P_truthteller-{F}(V14,V5), P_truthteller-{F}(V15,V5), people-{F}(V15,V14,V16) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #842: mergings( V3 == V11, V4 == V12, V0 == V13, V8 == V16, V5 == V14, V6 == V15; #833 ), references = 1, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_says-{F}(V2,V1,V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_garbage-{F}(V7), P_says-{F}(V2,V7,V8), P_liar-{F}(V4,V9), P_says-{F}(V5,V9,V6), P_b_and_c_liars-{F}(V10), P_b_liar_and_c_truthteller-{F}(V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #849: mergings( V3 == V11, V4 == V12, V0 == V13, V8 == V16, V5 == V14, V6 == V15; #834 ), references = 1, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_says-{F}(V2,V1,V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_garbage-{F}(V7), P_says-{F}(V2,V7,V8), P_liar-{F}(V4,V9), P_says-{F}(V5,V9,V6), P_liar-{F}(V5,V10), P_b_and_c_liars-{F}(V11), P_b_liar_and_c_truthteller-{F}(V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #857: mergings( V3 == V11, V4 == V12, V1 == V13, V0 == V14, V8 == V17, V5 == V15, V6 == V16; #835 ), references = 1, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_says-{F}(V2,V1,V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_garbage-{F}(V7), P_says-{F}(V2,V7,V8), P_liar-{F}(V4,V9), P_says-{F}(V5,V9,V6), P_liar-{F}(V5,V10), P_b_and_c_liars-{F}(V11), P_b_liar_and_c_truthteller-{F}(V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #879: mergings( V14 == V27, V8 == V21, V3 == V16, V4 == V17, V5 == V18, V12 == V25, V10 == V23, V9 == V22, V6 == V19, V7 == V20, V11 == V24, V13 == V26, V15 == V28; #865 ), references = 1, size of lhs = 18:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V2,V4), P_b-{F}(V5), P_truthteller-{F}(V5,V1), P_c-{F}(V6), P_liar-{F}(V6,V0), P_garbage-{F}(V7), P_says-{F}(V3,V7,V8), P_liar-{F}(V5,V9), P_says-{F}(V6,V9,V10), P_b_and_c_liars-{F}(V11), P_truthteller-{F}(V6,V12), P_b_liar_and_c_truthteller-{F}(V13), P_b_truthteller_and_c_liar-{F}(V14), P_b_and_c_truthtellers-{F}(V15) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #891: mergings( V12 == V23, V10 == V21, V8 == V19, V3 == V14, V4 == V15, V5 == V17, V6 == V18, V9 == V20, V11 == V22, V13 == V24; #880 ), references = 1, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V2,V4), P_b-{F}(V5), P_truthteller-{F}(V5,V1), P_c-{F}(V6), P_liar-{F}(V6,V0), P_garbage-{F}(V7), P_says-{F}(V3,V7,V8), P_liar-{F}(V5,V9), P_b_and_c_liars-{F}(V10), P_truthteller-{F}(V6,V11), P_b_liar_and_c_truthteller-{F}(V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #900: mergings( V8 == V19, V13 == V17, V5 == V15, V3 == V10, V6 == V16, V7 == V18, V9 == V20; #892 ), references = 2, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), a_truth-{F}(V1), P_one_truthteller-{F}(V2), P_a-{F}(V3), P_says-{F}(V3,V2,V4), P_b-{F}(V5), P_truthteller-{F}(V5,V1), P_c-{F}(V6), P_liar-{F}(V6,V0), P_garbage-{F}(V7), P_liar-{F}(V5,V8), P_b_and_c_liars-{F}(V9), P_truthteller-{F}(V6,V10), P_b_liar_and_c_truthteller-{F}(V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #908: disj( #0, exists( #23, #168 ) ), references = 1, size of lhs = 15:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V0), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_garbage-{F}(V8), P_liar-{F}(V3,V9), P_b_and_c_liars-{F}(V10), P_b_liar_and_c_truthteller-{F}(V11), P_b_truthteller_and_c_liar-{F}(V12), P_b_and_c_truthtellers-{F}(V13) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #909: disj( #0, exists( #24, #164 ) ), references = 1, size of lhs = 16:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V0), P_c-{F}(V4), P_truthteller-{F}(V4,V5), P_truthteller-{F}(V6,V5), P_liar-{F}(V6,V7), P_garbage-{F}(V8), P_liar-{F}(V3,V9), P_liar-{F}(V4,V10), P_b_and_c_liars-{F}(V11), P_b_liar_and_c_truthteller-{F}(V12), P_b_truthteller_and_c_liar-{F}(V13), P_b_and_c_truthtellers-{F}(V14) | a_truth-{T}(V7)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #910: disj( #0, exists( #24, #94 ) ), references = 1, size of lhs = 17:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_says-{F}(V2,V1,V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_truthteller-{F}(V5,V6), P_truthteller-{F}(V7,V6), P_liar-{F}(V7,V8), P_garbage-{F}(V9), P_liar-{F}(V4,V10), P_liar-{F}(V5,V11), P_b_and_c_liars-{F}(V12), P_b_liar_and_c_truthteller-{F}(V13), P_b_truthteller_and_c_liar-{F}(V14), P_b_and_c_truthtellers-{F}(V15) | a_truth-{T}(V8)
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #925: mergings( V7 == V22, V3 == V15, V4 == V16, V5 == V18, V2 == V14, V9 == V20, V6 == V0, V8 == V19, V10 == V21, V11 == V23, V12 == V24, V13 == V25; #912 ), references = 2, size of lhs = 14:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_says-{F}(V2,V1,V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_garbage-{F}(V6), P_liar-{F}(V4,V7), P_b_and_c_liars-{F}(V8), P_truthteller-{F}(V5,V9), P_b_liar_and_c_truthteller-{F}(V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #937: mergings( V3 == V13, V4 == V14, V5 == V16, V2 == V12, V7 == V18, V6 == V17, V8 == V19, V9 == V20, V10 == V21, V11 == V22; #926 ), references = 2, size of lhs = 13:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_says-{F}(V2,V1,V3), P_b-{F}(V4), P_truthteller-{F}(V4,V0), P_c-{F}(V5), P_garbage-{F}(V6), P_liar-{F}(V4,V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #949: mergings( V4 == V1, V5 == V0, V6 == V14, V3 == V13, V8 == V17, V7 == V16, V9 == V18, V10 == V19, V11 == V20, V12 == V21; #938 ), references = 2, size of lhs = 12:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_truthteller-{F}(V3,V0), P_c-{F}(V4), P_garbage-{F}(V5), P_liar-{F}(V3,V6), P_b_and_c_liars-{F}(V7), P_b_liar_and_c_truthteller-{F}(V8), P_b_truthteller_and_c_liar-{F}(V9), P_b_and_c_truthtellers-{F}(V10) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #953: exists( #22, #739 ), references = 1, size of lhs = 13:
% 1.37/1.55     a_truth-{F}(V0), P_one_truthteller-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_liar-{F}(V3,V0), P_c-{F}(V4), P_garbage-{F}(V5), P_says-{F}(V2,V1,V6), P_b_and_c_liars-{F}(V7), P_b_liar_and_c_truthteller-{F}(V8), P_truthteller-{F}(V3,V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #972: mergings( V2 == V15, V3 == V16, V4 == V17, V12 == V7, V5 == V20, V0 == V18, V8 == V19, V10 == V21, V11 == V22, V13 == V23, V14 == V24; #958 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_says-{F}(V1,V0,V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_liar-{F}(V3,V6), P_c-{F}(V7), P_garbage-{F}(V8), P_b_and_c_liars-{F}(V9), P_b_liar_and_c_truthteller-{F}(V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #984: mergings( V2 == V15, V3 == V16, V9 == V17, V4 == V18, V12 == V7, V5 == V20, V8 == V19, V10 == V21, V11 == V22, V13 == V23, V14 == V24; #960 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_says-{F}(V1,V0,V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_liar-{F}(V3,V6), P_c-{F}(V7), P_garbage-{F}(V8), P_b_and_c_liars-{F}(V9), P_b_liar_and_c_truthteller-{F}(V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #997: mergings( V2 == V15, V3 == V16, V9 == V17, V4 == V18, V12 == V7, V5 == V21, V0 == V19, V8 == V20, V10 == V22, V11 == V23, V13 == V24, V14 == V25; #959 ), references = 1, size of lhs = 14:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_says-{F}(V1,V0,V2), P_b-{F}(V3), P_truthteller-{F}(V3,V4), P_truthteller-{F}(V5,V4), P_liar-{F}(V5,V6), P_liar-{F}(V3,V6), P_c-{F}(V7), P_garbage-{F}(V8), P_b_and_c_liars-{F}(V9), P_b_liar_and_c_truthteller-{F}(V10), P_b_truthteller_and_c_liar-{F}(V11), P_b_and_c_truthtellers-{F}(V12) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1009: mergings( V3 == V13, V10 == V6, V4 == V16, V7 == V15, V8 == V17, V9 == V18, V11 == V19, V12 == V20; #999 ), references = 1, size of lhs = 13:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{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_garbage-{F}(V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1019: mergings( V3 == V14, V11 == V6, V4 == V17, V7 == V15, V8 == V16, V9 == V18, V10 == V19, V12 == V20, V13 == V21; #1000 ), references = 1, size of lhs = 13:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{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_garbage-{F}(V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1031: mergings( V1 == V14, V0 == V15, V3 == V16, V11 == V6, V4 == V19, V7 == V17, V8 == V18, V9 == V20, V10 == V21, V12 == V22, V13 == V23; #998 ), references = 1, size of lhs = 13:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{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_garbage-{F}(V7), P_b_and_c_liars-{F}(V8), P_b_liar_and_c_truthteller-{F}(V9), P_b_truthteller_and_c_liar-{F}(V10), P_b_and_c_truthtellers-{F}(V11) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1041: mergings( V6 == V2, V3 == V12, V4 == V13, V5 == V14, V7 == V15, V8 == V16; #1032 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_garbage-{F}(V5), P_b_and_c_liars-{F}(V6), P_b_liar_and_c_truthteller-{F}(V7), P_b_truthteller_and_c_liar-{F}(V8), P_b_and_c_truthtellers-{F}(V9) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1049: mergings( V7 == V2, V3 == V12, V4 == V13, V5 == V14, V6 == V15, V8 == V16, V9 == V17; #1033 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_garbage-{F}(V5), P_b_and_c_liars-{F}(V6), P_b_liar_and_c_truthteller-{F}(V7), P_b_truthteller_and_c_liar-{F}(V8), P_b_and_c_truthtellers-{F}(V9) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1059: mergings( V9 == V4, V2 == V12, V3 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V17, V10 == V18, V11 == V19; #1034 ), references = 1, size of lhs = 10:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_truthteller-{F}(V2,V3), P_c-{F}(V4), P_garbage-{F}(V5), P_b_and_c_liars-{F}(V6), P_b_liar_and_c_truthteller-{F}(V7), P_b_truthteller_and_c_liar-{F}(V8), P_b_and_c_truthtellers-{F}(V9) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1068: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14; #1060 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7), P_b_and_c_truthtellers-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1075: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15; #1061 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7), P_b_and_c_truthtellers-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1084: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15, V8 == V16, V9 == V17; #1062 ), references = 1, size of lhs = 9:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7), P_b_and_c_truthtellers-{F}(V8) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1092: mergings( V1 == V9, V2 == V10, V3 == V11, V4 == V12; #1085 ), references = 1, size of lhs = 8:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1098: mergings( V1 == V9, V2 == V10, V3 == V11, V4 == V12, V5 == V13; #1086 ), references = 1, size of lhs = 8:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1106: mergings( V1 == V8, V2 == V9, V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15; #1087 ), references = 1, size of lhs = 8:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6), P_b_truthteller_and_c_liar-{F}(V7) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1113: mergings( V1 == V8, V2 == V9, V3 == V10; #1107 ), references = 1, size of lhs = 7:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5), P_b_liar_and_c_truthteller-{F}(V6) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1119: mergings( V1 == V7, V2 == V8; #1114 ), references = 1, size of lhs = 6:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4), P_b_and_c_liars-{F}(V5) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1124: mergings( V1 == V6; #1120 ), references = 1, size of lhs = 5:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_garbage-{F}(V4) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1128: exists( #29, #1120 ), references = 1, size of lhs = 4:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1132: exists( #28, #1125 ), references = 1, size of lhs = 3:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1136: exists( #27, #1129 ), references = 1, size of lhs = 2:
% 1.37/1.55     P_one_truthteller-{F}(V0), P_a-{F}(V1) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1140: exists( #26, #1133 ), references = 1, size of lhs = 1:
% 1.37/1.55     P_one_truthteller-{F}(V0) | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  #1144: exists( #25, #1137 ), references = 1, size of lhs = 0:
% 1.37/1.55     FALSE | FALSE
% 1.37/1.55        (used 0 times, uses = {})
% 1.37/1.55  
% 1.37/1.55  number of learnt formulas = 149
% 1.37/1.55  
% 1.37/1.55  
% 1.37/1.55  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55  
% 1.37/1.55  randbase = 1
%------------------------------------------------------------------------------