%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 12:05:47 PM UTC 2026
% Result : Unsatisfiable 2.26s 2.54s
% Output : Refutation 2.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 06:47:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 2.26/2.54 GeoParameters:
% 2.26/2.54
% 2.26/2.54 tptp_input = 1
% 2.26/2.54 tptp_output = 0
% 2.26/2.54 nonempty = 1
% 2.26/2.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.26/2.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.26/2.54
% 2.26/2.54
% 2.26/2.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.26/2.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.26/2.54
% 2.26/2.54 RuleSystem INPUT:
% 2.26/2.54
% 2.26/2.54 Initial Rules:
% 2.26/2.54 #0: input, references = 5, size of lhs = 4:
% 2.26/2.54 P_truth-{F}(V0), P_not-{F}(V1,V2), P_xor-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #1: input, references = 4, size of lhs = 4:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V1,V3), V3 == V2 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #2: input, references = 4, size of lhs = 4:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V2,V3), V3 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #3: input, references = 4, size of lhs = 4:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V0,V3), V3 == V2 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #4: input, references = 4, size of lhs = 4:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V1,V3), V3 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #5: input, references = 4, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3), P_and_star-{F}(V3,V2,V4), V4 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #6: input, references = 5, size of lhs = 7:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V3,V4), P_xor-{F}(V2,V4,V5), P_xor-{F}(V2,V0,V6), P_xor-{F}(V6,V3,V7), V5 == V7 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #7: input, references = 3, size of lhs = 11:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V4), P_and_star-{F}(V4,V3,V5), P_xor-{F}(V5,V0,V6), P_and_star-{F}(V6,V3,V7), P_xor-{F}(V0,V3,V8), P_and_star-{F}(V8,V2,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V2,V11), V7 == V11 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #8: input, references = 4, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V3,V4), P_xor-{F}(V3,V2,V5), V4 == V5 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #9: input, references = 4, size of lhs = 7:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V5), P_and_star-{F}(V5,V4,V6), P_and_star-{F}(V3,V4,V7), P_and_star-{F}(V2,V7,V8), V6 == V8 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #10: input, references = 4, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4), P_and_star-{F}(V3,V2,V5), V4 == V5 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #11: input, references = 4, size of lhs = 4:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), V2 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #12: input, references = 5, size of lhs = 8:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_implies-{F}(V3,V4,V5), P_xor-{F}(V0,V4,V6), P_and_star-{F}(V3,V6,V7), P_xor-{F}(V0,V7,V8), V5 == V8 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #13: input, references = 5, size of lhs = 10:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_y-{F}(V5), P_not-{F}(V5,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V5,V3,V8), P_implies-{F}(V7,V8,V0) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #14: input, references = 10, size of lhs = 1:
% 2.26/2.54 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #15: input, references = 7, size of lhs = 2:
% 2.26/2.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_xor-{T}(V0,V1,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #16: input, references = 4, size of lhs = 0:
% 2.26/2.54 FALSE | EXISTS V0: P_truth-{T}(V0)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #17: input, references = 4, size of lhs = 0:
% 2.26/2.54 FALSE | EXISTS V0: P_falsehood-{T}(V0)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #18: input, references = 9, size of lhs = 2:
% 2.26/2.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_and_star-{T}(V0,V1,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #19: input, references = 5, size of lhs = 2:
% 2.26/2.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #20: input, references = 4, size of lhs = 0:
% 2.26/2.54 FALSE | EXISTS V0: P_x-{T}(V0)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #21: input, references = 5, size of lhs = 0:
% 2.26/2.54 FALSE | EXISTS V0: P_y-{T}(V0)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 number of initial rules = 22
% 2.26/2.54
% 2.26/2.54 Simplifiers:
% 2.26/2.54 #22: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #23: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_xor-{F}(V0,V1,V2), P_xor-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #24: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #25: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_falsehood-{F}(V0), P_falsehood-{F}(V1), V0 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #26: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_and_star-{F}(V0,V1,V2), P_and_star-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #27: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #28: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #29: unsound, references = 3, size of lhs = 3:
% 2.26/2.54 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 number of simplifiers = 8
% 2.26/2.54
% 2.26/2.54 Learnt:
% 2.26/2.54 #31: exists( #15, #2 ), references = 1, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_xor-{T}(V2,V2,V1)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #34: exists( #14, #0 ), references = 1, size of lhs = 2:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V1,V0,V2) | P_not-{T}(V1,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #35: exists( #14, #11 ), references = 2, size of lhs = 2:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1) | P_not-{T}(V0,V1)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #38: exists( #15, #1 ), references = 5, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_xor-{T}(V2,V1,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #39: exists( #15, #0 ), references = 13, size of lhs = 2:
% 2.26/2.54 P_truth-{F}(V0), P_not-{F}(V1,V2) | P_xor-{T}(V1,V0,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #41: exists( #15, #8 ), references = 11, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V3,V4) | P_xor-{T}(V3,V2,V4)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #43: exists( #18, #4 ), references = 2, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_and_star-{T}(V2,V1,V1)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #47: exists( #19, #12 ), references = 9, size of lhs = 6:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_and_star-{F}(V5,V4,V6), P_xor-{F}(V0,V6,V7) | P_implies-{T}(V5,V3,V7)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #50: exists( #18, #5 ), references = 5, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3) | P_and_star-{T}(V3,V2,V1)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #52: exists( #18, #3 ), references = 2, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_and_star-{T}(V2,V0,V2)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #55: exists( #18, #10 ), references = 7, size of lhs = 3:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4) | P_and_star-{T}(V3,V2,V4)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #64: mergings( V2 == V3; #62 ), references = 3, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V0,V2), P_xor-{F}(V3,V2,V4), P_xor-{F}(V3,V0,V5) | P_not-{T}(V5,V4)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #79: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V11, V10 == V13, V4 == V7, V7 == V9, V9 == V12; #70 ), references = 4, size of lhs = 12:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_not-{F}(V0,V3), P_x-{F}(V4), P_not-{F}(V4,V5), P_y-{F}(V6), P_xor-{F}(V6,V1,V7), P_and_star-{F}(V5,V7,V8), P_xor-{F}(V0,V8,V9), P_implies-{F}(V6,V4,V10), P_implies-{F}(V9,V10,V0) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #103: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V9 == V17, V22 == V23, V15 == V18, V17 == V20, V2 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V19; #84 ), references = 1, size of lhs = 9:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_x-{F}(V3), P_xor-{F}(V0,V3,V1), P_not-{F}(V3,V1), P_xor-{F}(V0,V1,V4), P_implies-{F}(V4,V4,V0) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #139: mergings( V18 == V19, V19 == V22, V17 == V20, V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V16, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V21; #121 ), references = 1, size of lhs = 9:
% 2.26/2.54 P_y-{F}(V0), P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V2), P_xor-{F}(V0,V2,V0), P_not-{F}(V0,V3), P_x-{F}(V4), P_xor-{F}(V4,V1,V4) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #174: mergings( V2 == V5, V5 == V7, V7 == V10, V9 == V13, V14 == V15, V3 == V4, V4 == V6, V6 == V8, V8 == V12; #163 ), references = 1, size of lhs = 9:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_not-{F}(V0,V3), P_x-{F}(V4), P_y-{F}(V4), P_xor-{F}(V4,V1,V4), P_xor-{F}(V0,V2,V5), P_implies-{F}(V5,V5,V0) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #190: mergings( V2 == V6, V6 == V8, V8 == V10, V10 == V13, V12 == V16, V20 == V21, V13 == V17, V16 == V19, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V18; #164 ), references = 1, size of lhs = 9:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_not-{F}(V0,V3), P_x-{F}(V4), P_y-{F}(V4), P_xor-{F}(V4,V1,V4), P_xor-{F}(V0,V2,V5), P_implies-{F}(V5,V5,V0) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #194: exists( #15, #6 ), references = 2, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3), P_xor-{F}(V4,V3,V5), P_xor-{F}(V4,V0,V6) | P_xor-{T}(V6,V2,V5)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #201: exists( #18, #9 ), references = 1, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4), P_and_star-{F}(V4,V5,V6), P_and_star-{F}(V3,V5,V7) | P_and_star-{T}(V2,V7,V6)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #209: mergings( V2 == V4, V3 == V5; #206 ), references = 2, size of lhs = 6:
% 2.26/2.54 P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_implies-{F}(V5,V3,V6), P_and_star-{F}(V5,V4,V7) | P_not-{T}(V7,V6)
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #234: mergings( V3 == V6, V6 == V9, V9 == V12, V5 == V14, V12 == V15, V14 == V19, V16 == V17, V4 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V18; #220 ), references = 1, size of lhs = 13:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_xor-{F}(V0,V2,V0), P_not-{F}(V0,V3), P_x-{F}(V4), P_not-{F}(V4,V5), P_y-{F}(V6), P_xor-{F}(V6,V1,V7), P_and_star-{F}(V5,V7,V8), P_xor-{F}(V8,V1,V8), P_xor-{F}(V0,V4,V9), P_and_star-{F}(V6,V9,V8) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #255: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V9 == V18, V16 == V19, V18 == V22, V4 == V20, V20 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V21; #237 ), references = 1, size of lhs = 10:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_x-{F}(V3), P_not-{F}(V3,V4), P_xor-{F}(V0,V3,V4), P_y-{F}(V5), P_xor-{F}(V5,V1,V5) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #278: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V10 == V19, V17 == V20, V19 == V23, V5 == V21, V3 == V21, V21 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V22; #258 ), references = 1, size of lhs = 8:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_x-{F}(V3), P_y-{F}(V4), P_xor-{F}(V4,V1,V4) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #301: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V11 == V20, V18 == V21, V20 == V23, V6 == V2, V4 == V2, V2 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22; #280 ), references = 1, size of lhs = 6:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_x-{F}(V3) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #323: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V11 == V20, V18 == V21, V20 == V23, V6 == V2, V4 == V2, V2 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22; #302 ), references = 1, size of lhs = 5:
% 2.26/2.54 P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_xor-{F}(V0,V1,V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #335: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #327 ), references = 1, size of lhs = 1:
% 2.26/2.54 P_truth-{F}(V0) | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 #337: exists( #16, #327 ), references = 1, size of lhs = 0:
% 2.26/2.54 FALSE | FALSE
% 2.26/2.54 (used 0 times, uses = {})
% 2.26/2.54
% 2.26/2.54 number of learnt formulas = 27
% 2.26/2.54
% 2.26/2.54
% 2.26/2.54 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.26/2.54
% 2.26/2.54 randbase = 1
%------------------------------------------------------------------------------