TSTP Solution File: PUZ021-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:14:17 EDT 2022
% Result : Unsatisfiable 2.43s 3.02s
% Output : Refutation 2.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.56 % Problem : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.57 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.16/0.78 % Computer : n022.cluster.edu
% 0.16/0.78 % Model : x86_64 x86_64
% 0.16/0.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.78 % Memory : 8042.1875MB
% 0.16/0.78 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.78 % CPULimit : 300
% 0.16/0.78 % WCLimit : 300
% 0.16/0.78 % DateTime : Fri Jul 22 06:59:44 EDT 2022
% 0.16/0.78 % CPUTime :
% 2.43/3.02 GeoParameters:
% 2.43/3.02
% 2.43/3.02 tptp_input = 1
% 2.43/3.02 tptp_output = 0
% 2.43/3.02 nonempty = 1
% 2.43/3.02 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/3.02 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.43/3.02
% 2.43/3.02
% 2.43/3.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/3.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/3.02
% 2.43/3.02 RuleSystem INPUT:
% 2.43/3.02
% 2.43/3.02 Initial Rules:
% 2.43/3.02 #0: input, references = 14, size of lhs = 4:
% 2.43/3.02 P_knight-{F}(V0,V2), P_knave-{F}(V0,V3), a_truth-{F}(V2,V1), a_truth-{F}(V3,V1) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #1: input, references = 16, size of lhs = 3:
% 2.43/3.02 #-{F} V1, P_knight-{F}(V0,V2), P_knave-{F}(V0,V3) | a_truth-{T}(V2,V1), a_truth-{T}(V3,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #2: input, references = 15, size of lhs = 4:
% 2.43/3.02 P_rich-{F}(V0,V2), P_poor-{F}(V0,V3), a_truth-{F}(V2,V1), a_truth-{F}(V3,V1) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #3: input, references = 10, size of lhs = 3:
% 2.43/3.02 #-{F} V1, P_rich-{F}(V0,V2), P_poor-{F}(V0,V3) | a_truth-{T}(V2,V1), a_truth-{T}(V3,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #4: input, references = 16, size of lhs = 3:
% 2.43/3.02 P_knight-{F}(V2,V3), a_truth-{F}(V3,V1), says-{F}(V2,V0) | a_truth-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #5: input, references = 5, size of lhs = 3:
% 2.43/3.02 a_truth-{F}(V0,V1), P_knight-{F}(V2,V3), a_truth-{F}(V3,V1) | says-{T}(V2,V0)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #6: input, references = 11, size of lhs = 4:
% 2.43/3.02 a_truth-{F}(V0,V1), P_knave-{F}(V2,V3), a_truth-{F}(V3,V1), says-{F}(V2,V0) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #7: input, references = 8, size of lhs = 3:
% 2.43/3.02 #-{F} V0, P_knave-{F}(V2,V3), a_truth-{F}(V3,V1) | a_truth-{T}(V0,V1), says-{T}(V2,V0)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #8: input, references = 15, size of lhs = 2:
% 2.43/3.02 P_and-{F}(V0,V2,V3), a_truth-{F}(V3,V1) | a_truth-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #9: input, references = 20, size of lhs = 2:
% 2.43/3.02 P_and-{F}(V2,V0,V3), a_truth-{F}(V3,V1) | a_truth-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #10: input, references = 4, size of lhs = 3:
% 2.43/3.02 a_truth-{F}(V0,V1), P_and-{F}(V2,V0,V3), a_truth-{F}(V2,V1) | a_truth-{T}(V3,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #11: input, references = 4, size of lhs = 6:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_and-{F}(V1,V2,V3), says-{F}(V0,V4), a_truth-{F}(V3,V4) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #12: input, references = 5, size of lhs = 5:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_and-{F}(V1,V2,V3), #-{F} V4 | says-{T}(V0,V4), a_truth-{T}(V3,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #13: input, references = 4, size of lhs = 1:
% 2.43/3.02 #-{F} V0 | EXISTS V1: P_knight-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #14: input, references = 7, size of lhs = 1:
% 2.43/3.02 #-{F} V0 | EXISTS V1: P_knave-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #15: input, references = 5, size of lhs = 1:
% 2.43/3.02 #-{F} V0 | EXISTS V1: P_rich-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #16: input, references = 3, size of lhs = 1:
% 2.43/3.02 #-{F} V0 | EXISTS V1: P_poor-{T}(V0,V1)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #17: input, references = 7, size of lhs = 2:
% 2.43/3.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #18: input, references = 4, size of lhs = 0:
% 2.43/3.02 FALSE | EXISTS V0: P_me-{T}(V0)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 number of initial rules = 19
% 2.43/3.02
% 2.43/3.02 Simplifiers:
% 2.43/3.02 #19: unsound, references = 3, size of lhs = 3:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knight-{F}(V0,V3), V1 == V3 | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #20: unsound, references = 3, size of lhs = 3:
% 2.43/3.02 P_knave-{F}(V0,V1), P_knave-{F}(V0,V3), V1 == V3 | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #21: unsound, references = 3, size of lhs = 3:
% 2.43/3.02 P_rich-{F}(V0,V1), P_rich-{F}(V0,V3), V1 == V3 | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #22: unsound, references = 3, size of lhs = 3:
% 2.43/3.02 P_poor-{F}(V0,V1), P_poor-{F}(V0,V3), V1 == V3 | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #23: unsound, references = 3, size of lhs = 3:
% 2.43/3.02 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #24: unsound, references = 3, size of lhs = 3:
% 2.43/3.02 P_me-{F}(V0), P_me-{F}(V1), V0 == V1 | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 number of simplifiers = 6
% 2.43/3.02
% 2.43/3.02 Learnt:
% 2.43/3.02 #26: disj( #1, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V1), #-{F} V4 | a_truth-{T}(V2,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #31: disj( #1, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_rich-{F}(V3,V1), P_poor-{F}(V3,V1), #-{F} V4 | a_truth-{T}(V2,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #39: disj( #1, #8+#2 ), references = 1, size of lhs = 6:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_rich-{F}(V3,V1), P_poor-{F}(V3,V4), P_and-{F}(V4,V5,V1), #-{F} V6 | a_truth-{T}(V2,V6)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #49: disj( #1, #8+#2 ), references = 1, size of lhs = 6:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_rich-{F}(V3,V2), P_poor-{F}(V3,V4), P_and-{F}(V4,V5,V2), #-{F} V6 | a_truth-{T}(V1,V6)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #50: disj( #1, #8+#0 ), references = 1, size of lhs = 6:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knave-{F}(V3,V2), P_knight-{F}(V3,V4), P_and-{F}(V4,V5,V2), #-{F} V6 | a_truth-{T}(V1,V6)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #64: disj( #3, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_rich-{F}(V0,V1), P_poor-{F}(V0,V2), P_rich-{F}(V3,V1), P_poor-{F}(V3,V1), #-{F} V4 | a_truth-{T}(V2,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #67: disj( #3, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_rich-{F}(V0,V1), P_poor-{F}(V0,V2), P_rich-{F}(V3,V1), P_poor-{F}(V3,V4), a_truth-{F}(V4,V5) | a_truth-{T}(V2,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #71: disj( #3, input ), references = 5, size of lhs = 5:
% 2.43/3.02 P_rich-{F}(V0,V1), P_poor-{F}(V0,V2), P_knave-{F}(V3,V1), P_knight-{F}(V3,V4), a_truth-{F}(V4,V5) | a_truth-{T}(V2,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #72: disj( #3, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_rich-{F}(V0,V1), P_poor-{F}(V0,V2), P_knave-{F}(V3,V1), says-{F}(V3,V4), a_truth-{F}(V4,V5) | a_truth-{T}(V2,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #107: disj( #1, #71+#0 ), references = 1, size of lhs = 9:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_knave-{F}(V7,V6), P_knight-{F}(V7,V1), #-{F} V8 | a_truth-{T}(V2,V8)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #120: disj( #1, #117+#2 ), references = 1, size of lhs = 9:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_poor-{F}(V3,V1), P_rich-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_rich-{F}(V7,V6), P_poor-{F}(V7,V1), #-{F} V8 | a_truth-{T}(V2,V8)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #127: disj( #3, input ), references = 3, size of lhs = 5:
% 2.43/3.02 P_rich-{F}(V0,V1), P_poor-{F}(V0,V2), P_poor-{F}(V3,V1), P_rich-{F}(V3,V4), a_truth-{F}(V4,V5) | a_truth-{T}(V2,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #128: disj( #3, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_rich-{F}(V0,V1), P_poor-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), a_truth-{F}(V4,V5) | a_truth-{T}(V2,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #136: disj( #1, #133+#2 ), references = 1, size of lhs = 9:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_rich-{F}(V7,V6), P_poor-{F}(V7,V1), #-{F} V8 | a_truth-{T}(V2,V8)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #164: disj( #7, input ), references = 5, size of lhs = 5:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), a_truth-{F}(V3,V2), P_knight-{F}(V4,V3), P_knave-{F}(V4,V5) | says-{T}(V0,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #165: disj( #7, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), a_truth-{F}(V3,V2), P_poor-{F}(V4,V3), P_rich-{F}(V4,V5) | says-{T}(V0,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #166: disj( #7, input ), references = 1, size of lhs = 5:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), a_truth-{F}(V3,V2), says-{F}(V4,V3), P_knave-{F}(V4,V5) | says-{T}(V0,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #183: mergings( V1 == V4; #179 ), references = 1, size of lhs = 6:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knight-{F}(V0,V2), a_truth-{F}(V2,V3), P_knave-{F}(V0,V4), P_and-{F}(V4,V1,V5) | a_truth-{T}(V5,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #184: disj( #12, #4+#0 ), references = 4, size of lhs = 9:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_and-{F}(V1,V2,V3), P_knight-{F}(V0,V4), a_truth-{F}(V4,V5), a_truth-{F}(V6,V5), P_knight-{F}(V7,V6), P_knave-{F}(V7,V8) | a_truth-{T}(V3,V8)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #185: disj( #12, #4+#2 ), references = 1, size of lhs = 9:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_and-{F}(V1,V2,V3), P_knight-{F}(V0,V4), a_truth-{F}(V4,V5), a_truth-{F}(V6,V5), P_rich-{F}(V7,V6), P_poor-{F}(V7,V8) | a_truth-{T}(V3,V8)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #198: exists( #17, #192 ), references = 2, size of lhs = 11:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), P_knave-{F}(V5,V1), P_knight-{F}(V5,V6), a_truth-{F}(V6,V7), P_knave-{F}(V8,V7), P_knight-{F}(V8,V9), a_truth-{F}(V9,V4) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #199: exists( #17, #193 ), references = 1, size of lhs = 11:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), P_knave-{F}(V5,V1), says-{F}(V5,V6), a_truth-{F}(V6,V7), P_knave-{F}(V8,V7), P_knight-{F}(V8,V9), a_truth-{F}(V9,V4) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #200: exists( #17, #194 ), references = 1, size of lhs = 11:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), P_poor-{F}(V5,V1), P_rich-{F}(V5,V6), a_truth-{F}(V6,V7), P_knave-{F}(V8,V7), P_knight-{F}(V8,V9), a_truth-{F}(V9,V4) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #220: disj( #1, #9+#0 ), references = 1, size of lhs = 6:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_and-{F}(V5,V4,V1), #-{F} V6 | a_truth-{T}(V2,V6)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #221: disj( #1, #211+#9+#2 ), references = 1, size of lhs = 10:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_poor-{F}(V7,V6), P_rich-{F}(V7,V8), P_and-{F}(V9,V8,V1), #-{F} V10 | a_truth-{T}(V2,V10)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #236: mergings( V1 == V6; #234 ), references = 4, size of lhs = 6:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), P_and-{F}(V2,V1,V3), a_truth-{F}(V2,V4), a_truth-{F}(V5,V4) | a_truth-{T}(V3,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #249: exists( #17, #243 ), references = 1, size of lhs = 8:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), P_poor-{F}(V4,V1), P_rich-{F}(V4,V5), a_truth-{F}(V5,V6), a_truth-{F}(V6,V3) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #250: exists( #17, #244 ), references = 2, size of lhs = 8:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), says-{F}(V4,V1), P_knave-{F}(V4,V5), a_truth-{F}(V5,V6), a_truth-{F}(V6,V3) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #251: exists( #17, #245 ), references = 2, size of lhs = 8:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V5), a_truth-{F}(V5,V6), a_truth-{F}(V6,V3) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #284: disj( #1, #71+#9+#2 ), references = 1, size of lhs = 10:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_poor-{F}(V7,V6), P_rich-{F}(V7,V8), P_and-{F}(V9,V8,V6), #-{F} V10 | a_truth-{T}(V2,V10)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #285: disj( #1, #71+#9+#0 ), references = 1, size of lhs = 10:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_knight-{F}(V7,V1), P_knave-{F}(V7,V8), P_and-{F}(V9,V8,V6), #-{F} V10 | a_truth-{T}(V2,V10)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #286: disj( #1, #5+#71+#9+#6 ), references = 1, size of lhs = 10:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), P_knight-{F}(V5,V1), P_knave-{F}(V5,V6), P_rich-{F}(V7,V6), P_poor-{F}(V7,V8), P_and-{F}(V9,V4,V8), #-{F} V10 | a_truth-{T}(V2,V10)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #313: disj( #1, #9+#0 ), references = 1, size of lhs = 6:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knave-{F}(V3,V2), P_knight-{F}(V3,V4), P_and-{F}(V5,V4,V2), #-{F} V6 | a_truth-{T}(V1,V6)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #314: disj( #1, #127+#9+#198 ), references = 4, size of lhs = 15:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V3), P_knight-{F}(V5,V6), P_knave-{F}(V5,V7), P_rich-{F}(V8,V7), P_poor-{F}(V8,V9), P_rich-{F}(V10,V9), P_poor-{F}(V10,V11), P_knight-{F}(V12,V11), P_knave-{F}(V12,V13), P_and-{F}(V14,V3,V7) | a_truth-{T}(V6,V13)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #315: disj( #1, #127+#9+#2 ), references = 1, size of lhs = 10:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_rich-{F}(V3,V2), P_poor-{F}(V3,V4), P_rich-{F}(V5,V4), P_poor-{F}(V5,V6), P_rich-{F}(V7,V6), P_poor-{F}(V7,V8), P_and-{F}(V9,V8,V2), #-{F} V10 | a_truth-{T}(V1,V10)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #319: disj( #1, exists( #17, #192 ) ), references = 4, size of lhs = 10:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), P_knight-{F}(V4,V3), P_knave-{F}(V4,V5), P_knave-{F}(V6,V1), P_knight-{F}(V6,V3), P_knight-{F}(V7,V3), P_knave-{F}(V7,V8) | a_truth-{T}(V5,V8)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #338: disj( #7, input ), references = 6, size of lhs = 5:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), a_truth-{F}(V3,V2), P_knave-{F}(V4,V3), P_knight-{F}(V4,V5) | says-{T}(V0,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #339: disj( #7, exists( #17, #245 ) ), references = 1, size of lhs = 9:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V5), a_truth-{F}(V6,V3), a_truth-{F}(V7,V6), P_knave-{F}(V8,V7) | says-{T}(V8,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #340: disj( #7, exists( #17, #192 ) ), references = 1, size of lhs = 10:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V3), P_knight-{F}(V5,V3), P_knave-{F}(V5,V6), a_truth-{F}(V7,V6), P_knave-{F}(V8,V7) | says-{T}(V8,V3)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #347: disj( #7, input ), references = 2, size of lhs = 5:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), a_truth-{F}(V3,V2), P_rich-{F}(V4,V3), P_poor-{F}(V4,V5) | says-{T}(V0,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #348: disj( #7, input ), references = 2, size of lhs = 5:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), a_truth-{F}(V3,V2), P_knave-{F}(V4,V3), says-{F}(V4,V5) | says-{T}(V0,V5)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #370: exists( #17, #368 ), references = 3, size of lhs = 6:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), says-{F}(V0,V3), a_truth-{F}(V2,V3), a_truth-{F}(V1,V3) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #413: disj( #1, exists( #17, #368 ) ), references = 1, size of lhs = 6:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V1), P_knave-{F}(V2,V1), P_knight-{F}(V2,V3), says-{F}(V0,V4) | a_truth-{T}(V3,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #499: mergings( V7 == V8; #495 ), references = 1, size of lhs = 14:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V5,V2), P_knight-{F}(V6,V5), a_truth-{F}(V5,V7), a_truth-{F}(V8,V4), P_knave-{F}(V9,V8), P_knight-{F}(V9,V10), a_truth-{F}(V11,V7), P_knave-{F}(V12,V11), P_knight-{F}(V12,V13), P_and-{F}(V14,V13,V10) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #501: mergings( V7 == V8; #496 ), references = 1, size of lhs = 14:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V5,V2), P_knight-{F}(V6,V5), a_truth-{F}(V5,V7), a_truth-{F}(V8,V4), P_knave-{F}(V9,V8), P_knight-{F}(V9,V10), a_truth-{F}(V11,V7), P_knave-{F}(V12,V11), says-{F}(V12,V13), P_and-{F}(V14,V13,V10) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #504: mergings( V6 == V12, V12 == V13; #497 ), references = 1, size of lhs = 21:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), says-{F}(V4,V1), P_knight-{F}(V4,V5), a_truth-{F}(V5,V3), a_truth-{F}(V5,V6), a_truth-{F}(V5,V7), a_truth-{F}(V8,V6), P_knave-{F}(V9,V8), P_knight-{F}(V9,V10), a_truth-{F}(V10,V11), a_truth-{F}(V12,V7), P_knave-{F}(V13,V12), P_knight-{F}(V13,V14), a_truth-{F}(V14,V15), a_truth-{F}(V16,V15), P_knave-{F}(V17,V16), P_knight-{F}(V17,V18), P_and-{F}(V19,V11,V18) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #605: disj( #7, #4+#9+#0 ), references = 1, size of lhs = 8:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V5,V4), P_knight-{F}(V6,V5), P_knave-{F}(V6,V7), P_and-{F}(V8,V7,V9) | a_truth-{T}(V9,V2)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #608: mergings( V2 == V6, V8 == V10; #603 ), references = 1, size of lhs = 8:
% 2.43/3.02 P_knight-{F}(V0,V1), a_truth-{F}(V1,V2), P_knave-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V3,V5), a_truth-{F}(V6,V5), P_knave-{F}(V7,V6), P_and-{F}(V8,V6,V9) | a_truth-{T}(V9,V4)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #609: disj( #7, #4+#9+#2 ), references = 1, size of lhs = 8:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V5,V4), P_poor-{F}(V6,V5), P_rich-{F}(V6,V7), P_and-{F}(V8,V7,V9) | a_truth-{T}(V9,V2)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #619: exists( #17, #613 ), references = 2, size of lhs = 10:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V5,V4), P_knight-{F}(V6,V5), P_knave-{F}(V6,V7), a_truth-{F}(V8,V2), P_rich-{F}(V9,V8), P_poor-{F}(V9,V10) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #620: exists( #17, #614 ), references = 1, size of lhs = 10:
% 2.43/3.02 P_knave-{F}(V0,V1), a_truth-{F}(V1,V2), P_knight-{F}(V0,V3), a_truth-{F}(V3,V4), a_truth-{F}(V5,V4), P_knight-{F}(V6,V5), P_knave-{F}(V6,V7), a_truth-{F}(V8,V2), P_knave-{F}(V9,V8), says-{F}(V9,V10) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #621: exists( #17, #615 ), references = 1, size of lhs = 14:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V5), a_truth-{F}(V5,V6), a_truth-{F}(V7,V3), P_knave-{F}(V8,V7), P_knight-{F}(V8,V9), a_truth-{F}(V9,V10), a_truth-{F}(V11,V10), P_knight-{F}(V12,V11), P_knave-{F}(V12,V13) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #644: disj( #1, exists( #17, #614 ) ), references = 3, size of lhs = 11:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), a_truth-{F}(V4,V5), P_knight-{F}(V6,V1), P_knave-{F}(V6,V7), a_truth-{F}(V8,V5), P_knave-{F}(V9,V8), says-{F}(V9,V10), #-{F} V11 | a_truth-{T}(V2,V11)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #645: disj( #1, exists( #17, #615 ) ), references = 1, size of lhs = 14:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V5), P_knight-{F}(V6,V5), P_knave-{F}(V6,V7), P_knight-{F}(V8,V5), P_knave-{F}(V8,V9), a_truth-{F}(V9,V3), P_knight-{F}(V10,V5), P_knave-{F}(V10,V11), #-{F} V12 | a_truth-{T}(V7,V12)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #646: disj( #1, exists( #17, #613 ) ), references = 1, size of lhs = 11:
% 2.43/3.02 P_knight-{F}(V0,V1), P_knave-{F}(V0,V2), P_knight-{F}(V3,V1), P_knave-{F}(V3,V4), a_truth-{F}(V4,V5), P_knight-{F}(V6,V1), P_knave-{F}(V6,V7), a_truth-{F}(V8,V5), P_rich-{F}(V9,V8), P_poor-{F}(V9,V10), #-{F} V11 | a_truth-{T}(V2,V11)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #691: exists( #14, #685 ), references = 1, size of lhs = 17:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V3), P_knight-{F}(V5,V6), P_knave-{F}(V5,V7), P_rich-{F}(V8,V7), P_poor-{F}(V8,V9), P_rich-{F}(V10,V9), P_poor-{F}(V10,V11), P_knight-{F}(V12,V11), P_and-{F}(V13,V3,V7), P_knight-{F}(V14,V6), P_knave-{F}(V14,V15), P_and-{F}(V15,V16,V6) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #692: exists( #14, #686 ), references = 1, size of lhs = 17:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V3), P_knight-{F}(V5,V6), P_knave-{F}(V5,V7), P_rich-{F}(V8,V7), P_poor-{F}(V8,V9), P_rich-{F}(V10,V9), P_poor-{F}(V10,V11), P_knight-{F}(V12,V11), P_and-{F}(V13,V3,V7), P_knight-{F}(V14,V6), P_knave-{F}(V14,V15), P_and-{F}(V15,V16,V6) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #694: mergings( V13 == V16; #690 ), references = 1, size of lhs = 19:
% 2.43/3.02 P_me-{F}(V0), P_knave-{F}(V0,V1), P_rich-{F}(V0,V2), P_knight-{F}(V0,V3), P_knave-{F}(V4,V1), P_knight-{F}(V4,V3), P_knight-{F}(V5,V6), P_knave-{F}(V5,V7), P_rich-{F}(V8,V7), P_poor-{F}(V8,V9), P_rich-{F}(V10,V9), P_poor-{F}(V10,V11), P_and-{F}(V12,V3,V7), P_knight-{F}(V13,V6), P_knave-{F}(V13,V11), P_knight-{F}(V14,V11), P_rich-{F}(V15,V11), P_poor-{F}(V15,V16), P_and-{F}(V11,V17,V6) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #703: mergings( V7 == V2; #701 ), references = 2, size of lhs = 8:
% 2.43/3.02 P_me-{F}(V0), P_rich-{F}(V0,V1), P_knave-{F}(V0,V2), a_truth-{F}(V2,V3), a_truth-{F}(V4,V3), a_truth-{F}(V5,V4), P_knave-{F}(V6,V5), a_truth-{F}(V5,V7) | a_truth-{T}(V1,V7)
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #715: mergings( V3 == V9, V2 == V5, V5 == V8, V8 == V14; #710 ), references = 1, size of lhs = 27:
% 2.43/3.02 P_me-{F}(V0), P_knight-{F}(V0,V1), P_knight-{F}(V2,V1), P_knave-{F}(V2,V3), P_knave-{F}(V0,V3), P_knave-{F}(V4,V3), P_knight-{F}(V4,V1), P_knight-{F}(V5,V1), P_knave-{F}(V5,V3), P_knight-{F}(V6,V1), P_knave-{F}(V6,V7), P_knave-{F}(V8,V3), P_knight-{F}(V8,V1), P_knight-{F}(V9,V1), P_knave-{F}(V9,V3), P_knave-{F}(V10,V3), P_knight-{F}(V10,V11), P_knight-{F}(V12,V11), P_knave-{F}(V12,V3), P_knight-{F}(V13,V11), P_knave-{F}(V13,V14), P_rich-{F}(V15,V7), P_poor-{F}(V15,V16), P_knave-{F}(V17,V3), P_knave-{F}(V18,V3), P_knave-{F}(V19,V3), P_knight-{F}(V19,V20) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #720: mergings( V2 == V3, V3 == V6, V6 == V11; #716 ), references = 1, size of lhs = 8:
% 2.43/3.02 P_me-{F}(V0), P_knight-{F}(V0,V1), P_knight-{F}(V2,V1), P_knave-{F}(V2,V3), P_knight-{F}(V4,V1), P_knave-{F}(V4,V5), P_rich-{F}(V6,V3), P_poor-{F}(V6,V7) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #735: mergings( V2 == V5; #733 ), references = 1, size of lhs = 18:
% 2.43/3.02 P_me-{F}(V0), P_knight-{F}(V0,V1), P_knight-{F}(V2,V1), P_knave-{F}(V2,V3), P_knave-{F}(V0,V3), P_knave-{F}(V4,V3), P_knight-{F}(V4,V1), P_knight-{F}(V5,V1), P_knave-{F}(V5,V3), P_knave-{F}(V6,V3), P_knight-{F}(V6,V7), P_knight-{F}(V8,V7), P_knave-{F}(V8,V3), P_knight-{F}(V9,V7), P_knave-{F}(V9,V10), P_knave-{F}(V11,V3), P_knave-{F}(V12,V3), P_knight-{F}(V12,V13) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #739: mergings( V2 == V3, V3 == V4; #736 ), references = 1, size of lhs = 2:
% 2.43/3.02 P_me-{F}(V0), P_knight-{F}(V0,V1) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #741: exists( #13, #736 ), references = 1, size of lhs = 1:
% 2.43/3.02 P_me-{F}(V0) | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 #743: exists( #18, #740 ), references = 1, size of lhs = 0:
% 2.43/3.02 FALSE | FALSE
% 2.43/3.02 (used 0 times, uses = {})
% 2.43/3.02
% 2.43/3.02 number of learnt formulas = 65
% 2.43/3.02
% 2.43/3.02
% 2.43/3.02 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.43/3.02
% 2.43/3.02 randbase = 1
%------------------------------------------------------------------------------