TSTP Solution File: HEN007-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:04:42 EDT 2022
% Result : Unsatisfiable 0.94s 1.15s
% Output : Refutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 21:01:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.94/1.15 GeoParameters:
% 0.94/1.15
% 0.94/1.15 tptp_input = 1
% 0.94/1.15 tptp_output = 0
% 0.94/1.15 nonempty = 1
% 0.94/1.15 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.15 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.94/1.15
% 0.94/1.15
% 0.94/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.15
% 0.94/1.15 RuleSystem INPUT:
% 0.94/1.15
% 0.94/1.15 Initial Rules:
% 0.94/1.15 #0: input, references = 5, size of lhs = 4:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #1: input, references = 7, size of lhs = 2:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #2: input, references = 6, size of lhs = 2:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #3: input, references = 7, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8) | less_equal-{T}(V6,V8)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #4: input, references = 6, size of lhs = 2:
% 0.94/1.15 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #5: input, references = 8, size of lhs = 4:
% 0.94/1.15 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #6: input, references = 4, size of lhs = 3:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #7: input, references = 3, size of lhs = 4:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #8: input, references = 4, size of lhs = 4:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #9: input, references = 4, size of lhs = 4:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #10: input, references = 4, size of lhs = 5:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #11: input, references = 5, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), less_equal-{F}(V4,V5), less_equal-{F}(V6,V4) | less_equal-{T}(V6,V5)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #12: input, references = 8, size of lhs = 7:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_divide-{F}(V4,V5,V7), P_divide-{F}(V4,V6,V8), less_equal-{F}(V7,V6) | less_equal-{T}(V8,V5)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #13: input, references = 4, size of lhs = 5:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4) | less_equal-{T}(V2,V4)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #14: input, references = 8, size of lhs = 9:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V2,V7), less_equal-{F}(V6,V7) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #15: input, references = 18, size of lhs = 2:
% 0.94/1.15 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #16: input, references = 4, size of lhs = 0:
% 0.94/1.15 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #17: input, references = 4, size of lhs = 0:
% 0.94/1.15 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #18: input, references = 4, size of lhs = 0:
% 0.94/1.15 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #19: input, references = 5, size of lhs = 0:
% 0.94/1.15 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #20: input, references = 7, size of lhs = 0:
% 0.94/1.15 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 number of initial rules = 21
% 0.94/1.15
% 0.94/1.15 Simplifiers:
% 0.94/1.15 #21: unsound, references = 3, size of lhs = 3:
% 0.94/1.15 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #22: unsound, references = 3, size of lhs = 3:
% 0.94/1.15 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #23: unsound, references = 3, size of lhs = 3:
% 0.94/1.15 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #24: unsound, references = 3, size of lhs = 3:
% 0.94/1.15 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #25: unsound, references = 3, size of lhs = 3:
% 0.94/1.15 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #26: unsound, references = 3, size of lhs = 3:
% 0.94/1.15 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 number of simplifiers = 6
% 0.94/1.15
% 0.94/1.15 Learnt:
% 0.94/1.15 #29: exists( #15, #9 ), references = 4, size of lhs = 3:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #32: exists( #15, #0 ), references = 2, size of lhs = 2:
% 0.94/1.15 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #33: exists( #15, #8 ), references = 1, size of lhs = 3:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #40: mergings( V4 == V5, V3 == V6; #37 ), references = 1, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V0,V3), P_c-{F}(V4) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #44: mergings( V2 == V3, V1 == V4; #41 ), references = 1, size of lhs = 5:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #48: mergings( V3 == V4; #46 ), references = 3, size of lhs = 7:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V5,V4,V0) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #65: mergings( V3 == V4; #63 ), references = 1, size of lhs = 11:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V5,V4,V6), P_divide-{F}(V7,V2,V8), P_divide-{F}(V7,V9,V5), P_divide-{F}(V9,V2,V10), P_divide-{F}(V8,V10,V6) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #68: mergings( V3 == V4, V4 == V5; #62 ), references = 3, size of lhs = 5:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V4,V5), P_divide-{F}(V4,V2,V6), P_divide-{F}(V3,V6,V5) | P_divide-{T}(V5,V2,V5)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #71: mergings( V3 == V4; #69 ), references = 1, size of lhs = 9:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V6,V2,V5), P_divide-{F}(V6,V7,V5), P_divide-{F}(V7,V2,V4) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #92: mergings( V3 == V4, V4 == V8; #89 ), references = 2, size of lhs = 6:
% 0.94/1.15 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), less_equal-{F}(V5,V6) | P_divide-{T}(V4,V6,V2)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #103: mergings( V3 == V5, V5 == V1, V1 == V9, V4 == V6; #98 ), references = 2, size of lhs = 5:
% 0.94/1.15 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), #-{F} V4 | P_divide-{T}(V4,V2,V4)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #114: mergings( V1 == V3, V2 == V4; #110 ), references = 2, size of lhs = 5:
% 0.94/1.15 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V1,V3) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #127: mergings( V3 == V4; #125 ), references = 3, size of lhs = 7:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V5,V2,V5) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #134: mergings( V3 == V5, V1 == V6, V2 == V5, V4 == V7; #129 ), references = 1, size of lhs = 5:
% 0.94/1.15 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V0,V2), P_b-{F}(V3) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #140: mergings( V3 == V5, V1 == V6, V2 == V5, V4 == V7; #135 ), references = 1, size of lhs = 4:
% 0.94/1.15 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V0,V2) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #144: exists( #15, #114 ), references = 1, size of lhs = 4:
% 0.94/1.15 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #145: exists( #15, #48 ), references = 1, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V4,V3,V0) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #146: exists( #15, #127 ), references = 1, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V4,V2,V4) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #148: exists( #15, #10 ), references = 1, size of lhs = 3:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | P_divide-{T}(V2,V0,V2)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #163: mergings( V3 == V4, V4 == V5; #159 ), references = 1, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V2,V1), P_divide-{F}(V3,V2,V3), P_divide-{F}(V4,V3,V2), P_divide-{F}(V1,V4,V5), P_divide-{F}(V5,V3,V2) | P_divide-{T}(V1,V3,V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #167: mergings( V3 == V4, V4 == V5, V5 == V6; #160 ), references = 1, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_divide-{F}(V1,V2,V1), P_divide-{F}(V3,V2,V3), P_divide-{F}(V4,V3,V2), P_divide-{F}(V1,V4,V5), P_divide-{F}(V5,V3,V0) | P_divide-{T}(V1,V3,V0)
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #216: mergings( V3 == V7, V7 == V11, V11 == V15, V4 == V8, V8 == V12, V5 == V9, V6 == V10, V9 == V13, V10 == V14; #205 ), references = 1, size of lhs = 10:
% 0.94/1.15 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), less_equal-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V4,V8), less_equal-{F}(V8,V9), V9 == V7, less_equal-{F}(V9,V7) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #229: mergings( V3 == V7, V7 == V11, V11 == V15, V4 == V8, V8 == V12, V12 == V16, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18; #206 ), references = 1, size of lhs = 12:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V2,V7), less_equal-{F}(V8,V7), less_equal-{F}(V9,V10), P_divide-{F}(V11,V10,V6), P_divide-{F}(V11,V9,V8) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #243: mergings( V3 == V7, V7 == V11, V11 == V15, V4 == V8, V8 == V12, V12 == V16, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18; #230 ), references = 1, size of lhs = 10:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V5,V2,V6), less_equal-{F}(V7,V4), P_divide-{F}(V5,V7,V8), less_equal-{F}(V8,V6) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #261: mergings( V4 == V5, V5 == V9, V9 == V13, V13 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V7 == V11, V8 == V12, V11 == V15, V12 == V16, V15 == V1, V16 == V19; #246 ), references = 1, size of lhs = 7:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), less_equal-{F}(V2,V4), P_c-{F}(V5) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #277: mergings( V2 == V3, V3 == V7, V7 == V11, V11 == V15, V1 == V4, V4 == V8, V8 == V12, V12 == V16, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18; #262 ), references = 1, size of lhs = 6:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), less_equal-{F}(V2,V4) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #297: mergings( V1 == V4, V4 == V5, V5 == V9, V9 == V13, V13 == V17, V20 == V21, V2 == V3, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V7 == V11, V8 == V12, V11 == V15, V12 == V16, V15 == V19, V16 == V21; #279 ), references = 1, size of lhs = 4:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #307: mergings( V4 == V8, V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9; #299 ), references = 1, size of lhs = 2:
% 0.94/1.15 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #310: mergings( V1 == V2; #308 ), references = 1, size of lhs = 1:
% 0.94/1.15 P_zero-{F}(V0) | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 #312: exists( #16, #308 ), references = 1, size of lhs = 0:
% 0.94/1.15 FALSE | FALSE
% 0.94/1.15 (used 0 times, uses = {})
% 0.94/1.15
% 0.94/1.15 number of learnt formulas = 30
% 0.94/1.15
% 0.94/1.15
% 0.94/1.15 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.15
% 0.94/1.15 randbase = 1
%------------------------------------------------------------------------------