%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:10 EDT 2022
% Result : Theorem 1.91s 2.10s
% Output : Refutation 1.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jul 22 17:17:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.91/2.10 GeoParameters:
% 1.91/2.10
% 1.91/2.10 tptp_input = 1
% 1.91/2.10 tptp_output = 0
% 1.91/2.10 nonempty = 1
% 1.91/2.10 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/2.10 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.91/2.10
% 1.91/2.10
% 1.91/2.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/2.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/2.10
% 1.91/2.10 RuleSystem INPUT:
% 1.91/2.10
% 1.91/2.10 Initial Rules:
% 1.91/2.10 #0: input, references = 4, size of lhs = 3:
% 1.91/2.10 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #1: input, references = 5, size of lhs = 5:
% 1.91/2.10 P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #2: input, references = 4, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #3: input, references = 4, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #4: input, references = 5, size of lhs = 6:
% 1.91/2.10 P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #5: input, references = 4, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #6: input, references = 4, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #7: input, references = 7, size of lhs = 8:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #8: input, references = 3, size of lhs = 8:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #9: input, references = 4, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #10: input, references = 6, size of lhs = 6:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V4,V5), V5 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #11: input, references = 4, size of lhs = 6:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5), V5 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #12: input, references = 7, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V5,V3,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V7,V3,V8), leq-{F}(V6,V4) | leq-{T}(V8,V4)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #13: input, references = 3, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V5,V3,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V3,V7,V8), leq-{F}(V6,V4) | leq-{T}(V8,V4)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #14: input, references = 5, size of lhs = 6:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V4,V1,V5), V3 == V5 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #15: input, references = 10, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V5,V3,V6), P_strong_iteration-{F}(V2,V7), P_multiplication-{F}(V7,V3,V8), leq-{F}(V4,V6) | leq-{T}(V4,V8)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #16: input, references = 3, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_star-{F}(V2,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V4,V5,V6), V3 == V6 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #17: input, references = 5, size of lhs = 5:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #18: input, references = 5, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #19: input, references = 4, size of lhs = 2:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V1,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #20: input, references = 5, size of lhs = 3:
% 1.91/2.10 pppp0-{F}(V0,V1), P_strong_iteration-{F}(V1,V2), leq-{F}(V0,V2) | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #21: input, references = 9, size of lhs = 2:
% 1.91/2.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #22: input, references = 4, size of lhs = 0:
% 1.91/2.10 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #23: input, references = 11, size of lhs = 2:
% 1.91/2.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #24: input, references = 4, size of lhs = 0:
% 1.91/2.10 FALSE | EXISTS V0: P_one-{T}(V0)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #25: input, references = 6, size of lhs = 1:
% 1.91/2.10 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #26: input, references = 7, size of lhs = 1:
% 1.91/2.10 #-{F} V0 | EXISTS V1: P_strong_iteration-{T}(V0,V1)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 number of initial rules = 27
% 1.91/2.10
% 1.91/2.10 Simplifiers:
% 1.91/2.10 #27: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #28: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #29: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #30: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #31: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #32: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 P_strong_iteration-{F}(V0,V1), P_strong_iteration-{F}(V0,V3), V1 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #33: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #34: unsound, references = 3, size of lhs = 3:
% 1.91/2.10 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 number of simplifiers = 8
% 1.91/2.10
% 1.91/2.10 Learnt:
% 1.91/2.10 #36: exists( #21, #2 ), references = 2, size of lhs = 2:
% 1.91/2.10 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #38: exists( #21, #3 ), references = 4, size of lhs = 2:
% 1.91/2.10 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #40: exists( #21, #0 ), references = 9, size of lhs = 1:
% 1.91/2.10 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #42: exists( #23, #5 ), references = 6, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #46: exists( #23, #6 ), references = 2, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #47: exists( #23, #9 ), references = 3, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #55: exists( #21, #17 ), references = 10, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #83: mergings( V2 == V3, V3 == V5, V5 == V7, V0 == V4, V4 == V6, V6 == V8; #75 ), references = 1, size of lhs = 5:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V1,V2), P_addition-{F}(V2,V1,V3), leq-{F}(V3,V1) | P_star-{T}(V1,V1)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #96: mergings( V0 == V3, V2 == V4; #93 ), references = 1, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2) | P_star-{T}(V0,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #101: mergings( V0 == V3, V2 == V4; #98 ), references = 1, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V2) | P_strong_iteration-{T}(V0,V2)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #103: exists( #23, #4 ), references = 2, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #106: exists( #21, #14 ), references = 5, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4) | P_addition-{T}(V4,V1,V3)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #113: mergings( V2 == V4, V3 == V5; #110 ), references = 1, size of lhs = 6:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), leq-{F}(V2,V5), P_addition-{F}(V4,V1,V5) | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #124: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #119 ), references = 3, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V1,V2), P_multiplication-{F}(V3,V1,V4), P_strong_iteration-{F}(V3,V5), P_star-{F}(V5,V6), P_addition-{F}(V4,V6,V2) | P_multiplication-{T}(V5,V6,V6)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #141: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #135 ), references = 1, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V1,V2), P_strong_iteration-{F}(V3,V4), P_strong_iteration-{F}(V4,V5), P_multiplication-{F}(V3,V1,V6), P_addition-{F}(V6,V5,V2) | P_multiplication-{T}(V4,V5,V5)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #147: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #136 ), references = 2, size of lhs = 7:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_strong_iteration-{F}(V3,V4), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V5,V4,V6), leq-{F}(V4,V6) | P_multiplication-{T}(V3,V4,V4)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #176: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V17 == V0; #161 ), references = 1, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V1,V3) | P_strong_iteration-{T}(V2,V3)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #189: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #183 ), references = 1, size of lhs = 11:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_multiplication-{F}(V2,V4,V5), leq-{F}(V4,V6), P_addition-{F}(V5,V7,V6), P_multiplication-{F}(V8,V3,V9), P_multiplication-{F}(V9,V7,V10), P_multiplication-{F}(V8,V4,V11), P_addition-{F}(V11,V10,V12), V10 == V12 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #197: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #192 ), references = 4, size of lhs = 9:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_multiplication-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), leq-{F}(V5,V7), P_addition-{F}(V6,V8,V7), P_addition-{F}(V4,V8,V9), P_multiplication-{F}(V3,V9,V10) | P_multiplication-{T}(V3,V8,V10)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #230: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V13 == V16, V16 == V17, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #217 ), references = 1, size of lhs = 9:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_addition-{F}(V4,V1,V5), leq-{F}(V5,V6), P_multiplication-{F}(V2,V4,V6), leq-{F}(V4,V6), P_multiplication-{F}(V3,V6,V4), P_addition-{F}(V1,V4,V7) | P_star-{T}(V3,V7)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #242: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V15 == V17, V17 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V12; #218 ), references = 1, size of lhs = 11:
% 1.91/2.10 P_one-{F}(V0), leq-{F}(V0,V1), P_zero-{F}(V2), P_multiplication-{F}(V3,V0,V1), P_strong_iteration-{F}(V3,V4), P_strong_iteration-{F}(V5,V4), P_multiplication-{F}(V4,V1,V6), leq-{F}(V6,V1), P_multiplication-{F}(V5,V6,V1), P_addition-{F}(V6,V0,V7), leq-{F}(V7,V1) | P_star-{T}(V4,V6)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #256: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V17 == V19, V19 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15; #219 ), references = 1, size of lhs = 13:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V1,V2), P_multiplication-{F}(V3,V1,V2), P_strong_iteration-{F}(V3,V4), P_strong_iteration-{F}(V5,V4), P_multiplication-{F}(V4,V0,V6), P_multiplication-{F}(V4,V2,V7), leq-{F}(V7,V2), P_multiplication-{F}(V5,V7,V2), P_addition-{F}(V6,V7,V8), P_addition-{F}(V7,V1,V9), leq-{F}(V9,V2) | P_star-{T}(V4,V8)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #263: exists( #23, #259 ), references = 1, size of lhs = 6:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_strong_iteration-{F}(V3,V4), P_addition-{F}(V4,V2,V5), V4 == V5 | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #266: exists( #21, #264 ), references = 1, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_strong_iteration-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #275: mergings( V2 == V5, V3 == V6; #272 ), references = 1, size of lhs = 4:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), pppp0-{F}(V2,V3) | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #281: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #276 ), references = 1, size of lhs = 3:
% 1.91/2.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1) | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #287: mergings( V1 == V2, V2 == V3, V3 == V4; #283 ), references = 1, size of lhs = 1:
% 1.91/2.10 P_zero-{F}(V0) | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 #289: exists( #22, #283 ), references = 1, size of lhs = 0:
% 1.91/2.10 FALSE | FALSE
% 1.91/2.10 (used 0 times, uses = {})
% 1.91/2.10
% 1.91/2.10 number of learnt formulas = 28
% 1.91/2.10
% 1.91/2.10
% 1.91/2.10 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.91/2.10
% 1.91/2.10 randbase = 1
%------------------------------------------------------------------------------