TSTP Solution File: PUZ007-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:14:15 EDT 2022
% Result : Unsatisfiable 0.20s 1.15s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.84 % Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.85 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/1.06 % Computer : n008.cluster.edu
% 0.13/1.06 % Model : x86_64 x86_64
% 0.13/1.06 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/1.06 % Memory : 8042.1875MB
% 0.13/1.06 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/1.06 % CPULimit : 300
% 0.13/1.06 % WCLimit : 300
% 0.13/1.06 % DateTime : Fri Jul 22 07:02:45 EDT 2022
% 0.13/1.06 % CPUTime :
% 0.20/1.15 GeoParameters:
% 0.20/1.15
% 0.20/1.15 tptp_input = 1
% 0.20/1.15 tptp_output = 0
% 0.20/1.15 nonempty = 1
% 0.20/1.15 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/1.15 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/1.15
% 0.20/1.15
% 0.20/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/1.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/1.15
% 0.20/1.15 RuleSystem INPUT:
% 0.20/1.15
% 0.20/1.15 Initial Rules:
% 0.20/1.15 #0: input, references = 6, size of lhs = 1:
% 0.20/1.15 #-{F} V0 | from_mars-{T}(V0), from_venus-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #1: input, references = 4, size of lhs = 2:
% 0.20/1.15 from_mars-{F}(V0), from_venus-{F}(V0) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #2: input, references = 8, size of lhs = 1:
% 0.20/1.15 #-{F} V0 | male-{T}(V0), female-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #3: input, references = 6, size of lhs = 2:
% 0.20/1.15 male-{F}(V0), female-{F}(V0) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #4: input, references = 4, size of lhs = 1:
% 0.20/1.15 #-{F} V0 | truthteller-{T}(V0), liar-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #5: input, references = 4, size of lhs = 2:
% 0.20/1.15 truthteller-{F}(V0), liar-{F}(V0) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #6: input, references = 4, size of lhs = 3:
% 0.20/1.15 P_statement_by-{F}(V0,V2), says-{F}(V0,V1), V1 == V2 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #7: input, references = 4, size of lhs = 2:
% 0.20/1.15 P_statement_by-{F}(V0,V1), a_truth-{F}(V1) | truthteller-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #8: input, references = 3, size of lhs = 1:
% 0.20/1.15 P_statement_by-{F}(V0,V1) | a_truth-{T}(V1), liar-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #9: input, references = 5, size of lhs = 2:
% 0.20/1.15 from_venus-{F}(V0), female-{F}(V0) | truthteller-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #10: input, references = 4, size of lhs = 2:
% 0.20/1.15 from_venus-{F}(V0), male-{F}(V0) | liar-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #11: input, references = 4, size of lhs = 2:
% 0.20/1.15 from_mars-{F}(V0), male-{F}(V0) | truthteller-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #12: input, references = 6, size of lhs = 2:
% 0.20/1.15 from_mars-{F}(V0), female-{F}(V0) | liar-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #13: input, references = 7, size of lhs = 2:
% 0.20/1.15 truthteller-{F}(V1), says-{F}(V1,V0) | a_truth-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #14: input, references = 5, size of lhs = 3:
% 0.20/1.15 a_truth-{F}(V0), liar-{F}(V1), says-{F}(V1,V0) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #15: input, references = 4, size of lhs = 2:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1) | says-{T}(V0,V1)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #16: input, references = 4, size of lhs = 4:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3) | says-{T}(V2,V3)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #17: input, references = 5, size of lhs = 5:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), from_mars-{F}(V0) | a_truth-{T}(V1)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #18: input, references = 3, size of lhs = 5:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), a_truth-{F}(V1) | from_mars-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #19: input, references = 7, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), a_truth-{F}(V1), a_truth-{F}(V4) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #20: input, references = 3, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5), V5 == V1 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #21: input, references = 4, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5), V4 == V3 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #22: input, references = 4, size of lhs = 6:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | a_truth-{T}(V1), a_truth-{T}(V4)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #23: input, references = 4, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5), female-{F}(V0) | male-{T}(V2)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #24: input, references = 5, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5), male-{F}(V0) | female-{T}(V2)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #25: input, references = 4, size of lhs = 6:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | from_mars-{T}(V2), from_mars-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #26: input, references = 4, size of lhs = 6:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | from_venus-{T}(V0), from_venus-{T}(V2)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #27: input, references = 4, size of lhs = 1:
% 0.20/1.15 #-{F} V0 | EXISTS V1: P_statement_by-{T}(V0,V1)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #28: input, references = 4, size of lhs = 0:
% 0.20/1.15 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #29: input, references = 4, size of lhs = 0:
% 0.20/1.15 FALSE | EXISTS V0: P_a_from_mars-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #30: input, references = 4, size of lhs = 0:
% 0.20/1.15 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #31: input, references = 4, size of lhs = 0:
% 0.20/1.15 FALSE | EXISTS V0: P_a_has_lied-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 number of initial rules = 32
% 0.20/1.15
% 0.20/1.15 Simplifiers:
% 0.20/1.15 #32: unsound, references = 3, size of lhs = 3:
% 0.20/1.15 P_statement_by-{F}(V0,V1), P_statement_by-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #33: unsound, references = 3, size of lhs = 3:
% 0.20/1.15 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #34: unsound, references = 3, size of lhs = 3:
% 0.20/1.15 P_a_from_mars-{F}(V0), P_a_from_mars-{F}(V1), V0 == V1 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #35: unsound, references = 3, size of lhs = 3:
% 0.20/1.15 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #36: unsound, references = 3, size of lhs = 3:
% 0.20/1.15 P_a_has_lied-{F}(V0), P_a_has_lied-{F}(V1), V0 == V1 | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 number of simplifiers = 5
% 0.20/1.15
% 0.20/1.15 Learnt:
% 0.20/1.15 #39: exists( #27, #6 ), references = 2, size of lhs = 1:
% 0.20/1.15 says-{F}(V0,V1) | P_statement_by-{T}(V0,V1)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #40: exists( #27, #21 ), references = 1, size of lhs = 4:
% 0.20/1.15 P_a-{F}(V0), P_b-{F}(V0), P_a_from_mars-{F}(V1), P_a_has_lied-{F}(V2) | P_statement_by-{T}(V0,V2)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #43: disj( #4, #13+#19 ), references = 1, size of lhs = 6:
% 0.20/1.15 P_a_from_mars-{F}(V0), says-{F}(V1,V0), P_a-{F}(V2), P_b-{F}(V3), P_statement_by-{F}(V3,V0), P_a_has_lied-{F}(V4) | liar-{T}(V1)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #46: disj( #22, input ), references = 2, size of lhs = 8:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5), liar-{F}(V6), says-{F}(V6,V1) | a_truth-{T}(V4)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #51: mergings( V0 == V6, V2 == V7, V4 == V1, V3 == V8; #45 ), references = 1, size of lhs = 6:
% 0.20/1.15 P_a-{F}(V0), P_statement_by-{F}(V0,V1), P_a_from_mars-{F}(V2), P_b-{F}(V3), P_statement_by-{F}(V3,V2), P_a_has_lied-{F}(V4) | a_truth-{T}(V2)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #62: disj( #2, #23+#3 ), references = 2, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), female-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | male-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #68: mergings( V0 == V3, V1 == V5, V2 == V6; #64 ), references = 2, size of lhs = 6:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), a_truth-{F}(V4) | from_venus-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #70: disj( #25, input ), references = 1, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), from_venus-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | from_mars-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #74: disj( #2, #9+#13+#19 ), references = 1, size of lhs = 8:
% 0.20/1.15 from_venus-{F}(V0), says-{F}(V0,V1), P_a-{F}(V2), P_a_from_mars-{F}(V3), a_truth-{F}(V3), P_b-{F}(V4), P_statement_by-{F}(V4,V1), P_a_has_lied-{F}(V5) | male-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #79: disj( #2, #12+#5 ), references = 1, size of lhs = 2:
% 0.20/1.15 from_mars-{F}(V0), truthteller-{F}(V0) | male-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #80: disj( #2, #12+#14 ), references = 1, size of lhs = 3:
% 0.20/1.15 from_mars-{F}(V0), a_truth-{F}(V1), says-{F}(V0,V1) | male-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #100: mergings( V3 == V15, V8 == V12, V12 == V16, V7 == V11, V1 == V16, V16 == V13, V4 == V0, V0 == V9, V6 == V15, V2 == V5, V5 == V10, V10 == V14; #87 ), references = 1, size of lhs = 7:
% 0.20/1.15 P_b-{F}(V0), says-{F}(V0,V1), P_statement_by-{F}(V0,V1), P_a-{F}(V2), P_a_from_mars-{F}(V3), P_statement_by-{F}(V2,V3), P_a_has_lied-{F}(V4) | from_mars-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #104: disj( #2, #9+#13+#19 ), references = 1, size of lhs = 8:
% 0.20/1.15 from_venus-{F}(V0), says-{F}(V0,V1), P_a_from_mars-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_a_has_lied-{F}(V4), P_statement_by-{F}(V3,V5), a_truth-{F}(V5) | male-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #119: mergings( V5 == V7, V2 == V6, V6 == V10, V0 == V3, V1 == V12, V3 == V8, V4 == V9, V9 == V11; #110 ), references = 1, size of lhs = 9:
% 0.20/1.15 from_mars-{F}(V0), P_b-{F}(V0), says-{F}(V0,V1), P_statement_by-{F}(V0,V1), P_a-{F}(V2), says-{F}(V2,V3), P_a_from_mars-{F}(V3), P_a_has_lied-{F}(V4), P_statement_by-{F}(V2,V5) | female-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #121: disj( #26, input ), references = 1, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), from_mars-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | from_venus-{T}(V2)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #124: disj( #0, #120+#1 ), references = 1, size of lhs = 7:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), P_b-{F}(V2), from_mars-{F}(V2), P_a_has_lied-{F}(V3), P_statement_by-{F}(V2,V4), P_statement_by-{F}(V0,V5) | from_venus-{T}(V0)
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #157: mergings( V6 == V8, V8 == V10, V19 == V21, V1 == V5, V5 == V7, V7 == V12, V10 == V16, V12 == V14, V14 == V18, V16 == V21, V18 == V22, V21 == V25, V2 == V3, V3 == V25, V25 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V4 == V24; #134 ), references = 1, size of lhs = 5:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), says-{F}(V0,V1), P_statement_by-{F}(V0,V1), P_b-{F}(V2) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #180: mergings( V5 == V7, V7 == V9, V18 == V20, V1 == V4, V4 == V6, V6 == V11, V9 == V15, V11 == V13, V13 == V17, V15 == V20, V17 == V21, V20 == V23, V2 == V3, V3 == V23, V23 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V22; #158 ), references = 1, size of lhs = 4:
% 0.20/1.15 P_a-{F}(V0), P_a_from_mars-{F}(V1), says-{F}(V0,V1), P_statement_by-{F}(V0,V1) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #187: mergings( V1 == V2, V2 == V3, V3 == V4; #183 ), references = 1, size of lhs = 1:
% 0.20/1.15 P_a-{F}(V0) | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 #189: exists( #28, #183 ), references = 1, size of lhs = 0:
% 0.20/1.15 FALSE | FALSE
% 0.20/1.15 (used 0 times, uses = {})
% 0.20/1.15
% 0.20/1.15 number of learnt formulas = 20
% 0.20/1.15
% 0.20/1.15
% 0.20/1.15 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/1.15
% 0.20/1.15 randbase = 1
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