%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL360-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:06 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL360-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 13:57:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.13/0.40 GeoParameters:
% 0.13/0.40
% 0.13/0.40 tptp_input = 1
% 0.13/0.40 tptp_output = 0
% 0.13/0.40 nonempty = 1
% 0.13/0.40 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 RuleSystem INPUT:
% 0.13/0.40
% 0.13/0.40 Initial Rules:
% 0.13/0.40 #0: input, references = 4, size of lhs = 3:
% 0.13/0.40 P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2), is_a_theorem-{F}(V1) | is_a_theorem-{T}(V0)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #1: input, references = 5, size of lhs = 5:
% 0.13/0.40 P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #2: input, references = 3, size of lhs = 3:
% 0.13/0.40 P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #3: input, references = 5, size of lhs = 3:
% 0.13/0.40 P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #4: input, references = 6, size of lhs = 9:
% 0.13/0.40 P_x-{F}(V0), P_not-{F}(V0,V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V5,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #5: input, references = 12, size of lhs = 2:
% 0.13/0.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #6: input, references = 4, size of lhs = 1:
% 0.13/0.40 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #7: input, references = 4, size of lhs = 0:
% 0.13/0.40 FALSE | EXISTS V0: P_x-{T}(V0)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #8: input, references = 4, size of lhs = 0:
% 0.13/0.40 FALSE | EXISTS V0: P_y-{T}(V0)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #9: input, references = 4, size of lhs = 0:
% 0.13/0.40 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 number of initial rules = 10
% 0.13/0.40
% 0.13/0.40 Simplifiers:
% 0.13/0.40 #10: unsound, references = 3, size of lhs = 3:
% 0.13/0.40 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #11: unsound, references = 3, size of lhs = 3:
% 0.13/0.40 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #12: unsound, references = 3, size of lhs = 3:
% 0.13/0.40 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #13: unsound, references = 3, size of lhs = 3:
% 0.13/0.40 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #14: unsound, references = 3, size of lhs = 3:
% 0.13/0.40 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 number of simplifiers = 5
% 0.13/0.40
% 0.13/0.40 Learnt:
% 0.13/0.40 #17: exists( #5, #15 ), references = 1, size of lhs = 9:
% 0.13/0.40 P_x-{F}(V0), P_not-{F}(V0,V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V8,V6) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #19: exists( #5, #16 ), references = 1, size of lhs = 7:
% 0.13/0.40 P_x-{F}(V0), P_not-{F}(V0,V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V3,V4,V5), P_not-{F}(V5,V0) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #22: exists( #5, #20 ), references = 1, size of lhs = 11:
% 0.13/0.40 P_x-{F}(V0), P_not-{F}(V0,V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V0,V4,V6), P_implies-{F}(V7,V8,V5), P_implies-{F}(V8,V9,V10), P_implies-{F}(V7,V9,V11), P_implies-{F}(V10,V11,V6) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #27: exists( #5, #25 ), references = 1, size of lhs = 13:
% 0.13/0.40 is_a_theorem-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_z-{F}(V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V1,V5,V7), P_implies-{F}(V6,V7,V8), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V11,V12), P_implies-{F}(V9,V11,V13), P_implies-{F}(V12,V13,V8) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #29: exists( #5, #26 ), references = 1, size of lhs = 11:
% 0.13/0.40 is_a_theorem-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_z-{F}(V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V1,V5,V7), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V10,V6), P_implies-{F}(V8,V10,V7) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #31: exists( #5, #28 ), references = 2, size of lhs = 9:
% 0.13/0.40 is_a_theorem-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V2,V3,V4), P_z-{F}(V5), P_implies-{F}(V1,V5,V6), P_implies-{F}(V7,V4,V0), P_implies-{F}(V7,V5,V6) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #34: exists( #5, #32 ), references = 1, size of lhs = 9:
% 0.13/0.40 P_x-{F}(V0), P_not-{F}(V0,V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_z-{F}(V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V6,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V3) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #37: mergings( V3 == V6; #35 ), references = 1, size of lhs = 6:
% 0.13/0.40 P_x-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_not-{F}(V0,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V3,V5,V4) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #39: exists( #5, #35 ), references = 1, size of lhs = 4:
% 0.13/0.40 P_x-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_not-{F}(V0,V3) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #41: exists( #6, #38 ), references = 1, size of lhs = 3:
% 0.13/0.40 P_x-{F}(V0), P_y-{F}(V1), P_z-{F}(V2) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #43: exists( #9, #40 ), references = 1, size of lhs = 2:
% 0.13/0.40 P_x-{F}(V0), P_y-{F}(V1) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #45: exists( #8, #42 ), references = 1, size of lhs = 1:
% 0.13/0.40 P_x-{F}(V0) | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 #47: exists( #7, #44 ), references = 1, size of lhs = 0:
% 0.13/0.40 FALSE | FALSE
% 0.13/0.40 (used 0 times, uses = {})
% 0.13/0.40
% 0.13/0.40 number of learnt formulas = 13
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 randbase = 1
%------------------------------------------------------------------------------