%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 12:05:45 PM UTC 2026
% Result : Unsatisfiable 11.26s 11.54s
% Output : Refutation 11.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 4 23:44:51 UTC 2026
% 0.07/0.35 % CPUTime :
% 11.26/11.54 GeoParameters:
% 11.26/11.54
% 11.26/11.54 tptp_input = 1
% 11.26/11.54 tptp_output = 0
% 11.26/11.54 nonempty = 1
% 11.26/11.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/11.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 11.26/11.54
% 11.26/11.54
% 11.26/11.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/11.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/11.54
% 11.26/11.54 RuleSystem INPUT:
% 11.26/11.54
% 11.26/11.54 Initial Rules:
% 11.26/11.54 #0: input, references = 5, size of lhs = 3:
% 11.26/11.54 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #1: input, references = 7, size of lhs = 7:
% 11.26/11.54 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #2: input, references = 10, size of lhs = 6:
% 11.26/11.54 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), V4 == V6 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #3: input, references = 5, size of lhs = 7:
% 11.26/11.54 P_truth-{F}(V0), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V1,V6), P_implies-{F}(V5,V6,V7), V7 == V0 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #4: input, references = 6, size of lhs = 5:
% 11.26/11.54 P_truth-{F}(V0), P_big_V-{F}(V1,V2,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V4,V2,V5), V3 == V5 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #5: input, references = 7, size of lhs = 7:
% 11.26/11.54 P_truth-{F}(V0), P_big_hat-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V2,V5), P_big_V-{F}(V4,V5,V6), P_not-{F}(V6,V7), V3 == V7 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #6: input, references = 5, size of lhs = 4:
% 11.26/11.54 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), ordered-{F}(V1,V2), V3 == V0 | FALSE
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #7: input, references = 4, size of lhs = 2:
% 11.26/11.54 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0) | ordered-{T}(V1,V2)
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.54
% 11.26/11.54 #8: input, references = 5, size of lhs = 3:
% 11.26/11.54 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2) | ordered-{T}(V1,V2)
% 11.26/11.54 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #9: input, references = 5, size of lhs = 7:
% 11.26/11.55 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V3,V2,V5), ordered-{F}(V4,V5) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #10: input, references = 20, size of lhs = 2:
% 11.26/11.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #11: input, references = 4, size of lhs = 0:
% 11.26/11.55 FALSE | EXISTS V0: P_truth-{T}(V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #12: input, references = 7, size of lhs = 1:
% 11.26/11.55 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #13: input, references = 6, size of lhs = 2:
% 11.26/11.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_big_V-{T}(V0,V1,V2)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #14: input, references = 7, size of lhs = 2:
% 11.26/11.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_big_hat-{T}(V0,V1,V2)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #15: input, references = 4, size of lhs = 0:
% 11.26/11.55 FALSE | EXISTS V0: P_x-{T}(V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #16: input, references = 5, size of lhs = 0:
% 11.26/11.55 FALSE | EXISTS V0: P_y-{T}(V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #17: input, references = 5, size of lhs = 0:
% 11.26/11.55 FALSE | EXISTS V0: P_z-{T}(V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 number of initial rules = 18
% 11.26/11.55
% 11.26/11.55 Simplifiers:
% 11.26/11.55 #18: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #19: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #20: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #21: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_big_V-{F}(V0,V1,V2), P_big_V-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #22: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_big_hat-{F}(V0,V1,V2), P_big_hat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #23: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #24: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #25: unsound, references = 3, size of lhs = 3:
% 11.26/11.55 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 number of simplifiers = 8
% 11.26/11.55
% 11.26/11.55 Learnt:
% 11.26/11.55 #28: exists( #10, #0 ), references = 14, size of lhs = 2:
% 11.26/11.55 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #29: exists( #10, #6 ), references = 2, size of lhs = 2:
% 11.26/11.55 P_truth-{F}(V0), ordered-{F}(V1,V2) | P_implies-{T}(V1,V2,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #31: exists( #13, #4 ), references = 2, size of lhs = 3:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4) | P_big_V-{T}(V1,V2,V4)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #33: exists( #10, #1 ), references = 8, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #35: exists( #12, #5 ), references = 5, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_big_V-{F}(V2,V5,V6) | P_not-{T}(V6,V4)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #40: exists( #14, #5 ), references = 1, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_big_V-{F}(V2,V4,V5), P_not-{F}(V5,V6) | P_big_hat-{T}(V1,V3,V6)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #45: exists( #10, #3 ), references = 6, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #56: mergings( V3 == V4, V4 == V5; #53 ), references = 1, size of lhs = 10:
% 11.26/11.55 P_x-{F}(V0), P_y-{F}(V0), ordered-{F}(V0,V0), P_truth-{F}(V0), P_z-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V3,V1), P_not-{F}(V5,V6), P_implies-{F}(V5,V2,V7), P_implies-{F}(V4,V6,V7) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #60: mergings( V3 == V4; #58 ), references = 1, size of lhs = 8:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V6,V4,V5), P_implies-{F}(V6,V2,V7), P_implies-{F}(V7,V0,V8), V8 == V0 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #72: mergings( V3 == V4; #68 ), references = 7, size of lhs = 4:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5) | P_implies-{T}(V4,V5,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #75: mergings( V3 == V4; #70 ), references = 4, size of lhs = 4:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3) | P_implies-{T}(V4,V1,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #82: mergings( V1 == V2, V2 == V3; #79 ), references = 1, size of lhs = 2:
% 11.26/11.55 P_x-{F}(V0), P_truth-{F}(V0) | P_y-{T}(V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #93: mergings( V3 == V4, V4 == V5; #90 ), references = 1, size of lhs = 8:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V0,V6,V7), P_not-{F}(V5,V8), P_implies-{F}(V8,V3,V6) | P_implies-{T}(V2,V5,V7)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #103: mergings( V3 == V4, V4 == V5; #100 ), references = 1, size of lhs = 8:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V7,V8,V5), P_implies-{F}(V8,V9,V2), P_implies-{F}(V7,V9,V4) | P_implies-{T}(V2,V4,V6)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #110: exists( #10, #2 ), references = 2, size of lhs = 4:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5) | P_implies-{T}(V5,V1,V4)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #111: exists( #10, #4 ), references = 6, size of lhs = 3:
% 11.26/11.55 P_truth-{F}(V0), P_big_V-{F}(V1,V2,V3), P_implies-{F}(V1,V2,V4) | P_implies-{T}(V4,V2,V3)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #116: mergings( V3 == V4; #114 ), references = 5, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V1,V3,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V3) | P_implies-{T}(V2,V3,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #126: mergings( V3 == V4; #124 ), references = 3, size of lhs = 8:
% 11.26/11.55 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V1,V5,V6), P_implies-{F}(V3,V5,V7), P_implies-{F}(V6,V7,V4) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #134: mergings( V1 == V2, V2 == V3, V3 == V4; #130 ), references = 1, size of lhs = 6:
% 11.26/11.55 P_y-{F}(V0), P_implies-{F}(V0,V0,V0), P_truth-{F}(V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V0) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #175: mergings( V3 == V4, V4 == V5, V5 == V6, V10 == V12; #170 ), references = 1, size of lhs = 8:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V4,V6,V0), P_not-{F}(V7,V6), P_implies-{F}(V0,V7,V8) | P_big_V-{T}(V2,V5,V8)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #192: mergings( V3 == V4, V4 == V5; #189 ), references = 3, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_big_V-{F}(V1,V3,V4), P_implies-{F}(V4,V3,V5) | P_implies-{T}(V1,V3,V5)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #218: mergings( V3 == V4, V4 == V5; #215 ), references = 1, size of lhs = 12:
% 11.26/11.55 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_big_V-{F}(V4,V5,V2), P_implies-{F}(V6,V5,V3), P_implies-{F}(V5,V7,V8), P_implies-{F}(V4,V7,V9), P_implies-{F}(V8,V9,V6), P_implies-{F}(V1,V10,V11), P_implies-{F}(V3,V10,V12), P_implies-{F}(V11,V12,V0) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #238: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V0 == V13; #231 ), references = 5, size of lhs = 12:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V4,V3,V3), P_implies-{F}(V4,V1,V5), P_not-{F}(V6,V5), P_big_V-{F}(V1,V3,V7), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V8,V9), P_implies-{F}(V0,V7,V10), P_not-{F}(V10,V11), V9 == V11 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #242: mergings( V3 == V4, V4 == V5, V5 == V6; #232 ), references = 1, size of lhs = 9:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V4,V3,V3), P_big_V-{F}(V1,V3,V5), P_implies-{F}(V4,V5,V5), P_big_V-{F}(V3,V5,V6), P_implies-{F}(V0,V5,V7), V6 == V7 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #246: exists( #14, #238 ), references = 1, size of lhs = 10:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V4,V3,V3), P_implies-{F}(V4,V1,V5), P_not-{F}(V6,V5), P_big_V-{F}(V1,V3,V7), P_not-{F}(V8,V7), P_implies-{F}(V0,V7,V9), P_not-{F}(V9,V10) | P_big_hat-{T}(V6,V8,V10)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #253: exists( #12, #238 ), references = 1, size of lhs = 10:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V4,V3,V3), P_implies-{F}(V4,V1,V5), P_not-{F}(V6,V5), P_big_V-{F}(V1,V3,V7), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V8,V9), P_implies-{F}(V0,V7,V10) | P_not-{T}(V10,V9)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #273: mergings( V3 == V4, V4 == V5; #270 ), references = 1, size of lhs = 6:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V1,V5), P_implies-{F}(V5,V3,V6) | P_implies-{T}(V1,V3,V6)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #294: exists( #12, #238 ), references = 1, size of lhs = 10:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V4,V3,V3), P_implies-{F}(V4,V1,V5), P_not-{F}(V6,V5), P_big_V-{F}(V1,V3,V7), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V8,V9), P_implies-{F}(V0,V7,V10) | P_not-{T}(V10,V9)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #337: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #331 ), references = 1, size of lhs = 11:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_implies-{F}(V7,V4,V0), P_not-{F}(V8,V7), P_implies-{F}(V0,V8,V9), P_implies-{F}(V10,V11,V8), P_implies-{F}(V11,V12,V6), P_implies-{F}(V10,V12,V5) | P_big_V-{T}(V2,V5,V9)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #345: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #339 ), references = 2, size of lhs = 14:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_big_hat-{F}(V3,V7,V8), P_implies-{F}(V9,V6,V6), P_implies-{F}(V9,V2,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V5,V0), P_implies-{F}(V0,V10,V12), P_not-{F}(V12,V13), V8 == V13 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #352: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #346 ), references = 2, size of lhs = 14:
% 11.26/11.55 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_big_hat-{F}(V3,V7,V8), P_implies-{F}(V9,V6,V6), P_implies-{F}(V9,V2,V10), P_not-{F}(V10,V11), P_implies-{F}(V11,V5,V0), P_implies-{F}(V0,V10,V12), P_not-{F}(V12,V13), V8 == V13 | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #395: mergings( V3 == V4, V4 == V5; #391 ), references = 1, size of lhs = 14:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_not-{F}(V2,V3), P_big_V-{F}(V3,V4,V1), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V9,V0), P_not-{F}(V9,V10), P_not-{F}(V11,V10), P_big_hat-{F}(V8,V11,V12), P_implies-{F}(V13,V10,V10), P_implies-{F}(V13,V7,V1) | P_big_hat-{T}(V2,V5,V12)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #398: mergings( V3 == V4, V4 == V5; #392 ), references = 1, size of lhs = 14:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_not-{F}(V2,V3), P_big_V-{F}(V3,V4,V1), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V9,V0), P_not-{F}(V9,V10), P_not-{F}(V11,V10), P_big_hat-{F}(V8,V11,V12), P_implies-{F}(V13,V10,V10), P_implies-{F}(V13,V7,V1) | P_big_hat-{T}(V2,V5,V12)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #408: exists( #12, #238 ), references = 1, size of lhs = 10:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V4,V3,V3), P_implies-{F}(V4,V1,V5), P_not-{F}(V6,V5), P_big_V-{F}(V1,V3,V7), P_not-{F}(V8,V7), P_big_hat-{F}(V6,V8,V9), P_implies-{F}(V0,V7,V10) | P_not-{T}(V10,V9)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #460: mergings( V3 == V4; #457 ), references = 1, size of lhs = 5:
% 11.26/11.55 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V0), P_z-{F}(V3) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #462: mergings( V3 == V4; #458 ), references = 1, size of lhs = 3:
% 11.26/11.55 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #465: mergings( V1 == V2; #463 ), references = 1, size of lhs = 4:
% 11.26/11.55 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V0) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #471: mergings( V1 == V2, V2 == V3; #468 ), references = 1, size of lhs = 2:
% 11.26/11.55 P_truth-{F}(V0), P_x-{F}(V1) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #475: mergings( V1 == V2, V2 == V3; #472 ), references = 1, size of lhs = 1:
% 11.26/11.55 P_truth-{F}(V0) | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 #477: exists( #11, #472 ), references = 1, size of lhs = 0:
% 11.26/11.55 FALSE | FALSE
% 11.26/11.55 (used 0 times, uses = {})
% 11.26/11.55
% 11.26/11.55 number of learnt formulas = 40
% 11.26/11.55
% 11.26/11.55
% 11.26/11.55 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/11.55
% 11.26/11.55 randbase = 1
%------------------------------------------------------------------------------