TSTP Solution File: HEN007-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 2.64s 2.84s
% Output : Refutation 2.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 20:59:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.64/2.84 GeoParameters:
% 2.64/2.84
% 2.64/2.84 tptp_input = 1
% 2.64/2.84 tptp_output = 0
% 2.64/2.84 nonempty = 1
% 2.64/2.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/2.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.64/2.84
% 2.64/2.84
% 2.64/2.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/2.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/2.84
% 2.64/2.84 RuleSystem INPUT:
% 2.64/2.84
% 2.64/2.84 Initial Rules:
% 2.64/2.84 #0: input, references = 5, size of lhs = 2:
% 2.64/2.84 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #1: input, references = 4, size of lhs = 2:
% 2.64/2.84 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #2: input, references = 7, size of lhs = 2:
% 2.64/2.84 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #3: input, references = 8, size of lhs = 6:
% 2.64/2.84 P_zero-{F}(V0), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V7,V6,V4), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V3) | less_equal-{T}(V1,V2)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #4: input, references = 6, size of lhs = 2:
% 2.64/2.84 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #5: input, references = 8, size of lhs = 4:
% 2.64/2.84 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #6: input, references = 5, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #7: input, references = 11, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #8: input, references = 6, size of lhs = 5:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #9: input, references = 4, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V1,V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #10: input, references = 3, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V0,V2,V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #11: input, references = 4, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V2,V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #12: input, references = 7, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V0,V2)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #13: input, references = 4, size of lhs = 4:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V2,V3), less_equal-{F}(V4,V2) | less_equal-{T}(V4,V3)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #14: input, references = 4, size of lhs = 5:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V3,V2), quotient-{F}(V6,V5,V3), quotient-{F}(V6,V2,V4) | less_equal-{T}(V4,V5)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #15: input, references = 5, size of lhs = 4:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3) | less_equal-{T}(V2,V3)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #16: input, references = 6, size of lhs = 6:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_zQy-{F}(V5) | quotient-{T}(V4,V3,V5)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #17: input, references = 6, size of lhs = 7:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_zQy-{F}(V5), P_zQx-{F}(V6) | quotient-{T}(V4,V2,V6)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #18: input, references = 8, size of lhs = 8:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_zQy-{F}(V5), P_zQx-{F}(V6), less_equal-{F}(V5,V6) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #19: input, references = 4, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #20: input, references = 4, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_identity-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #21: input, references = 9, size of lhs = 2:
% 2.64/2.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #22: input, references = 4, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_x-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #23: input, references = 6, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_y-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #24: input, references = 7, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_z-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #25: input, references = 6, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_zQy-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #26: input, references = 7, size of lhs = 0:
% 2.64/2.84 FALSE | EXISTS V0: P_zQx-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 number of initial rules = 27
% 2.64/2.84
% 2.64/2.84 Simplifiers:
% 2.64/2.84 #27: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #28: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #29: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #30: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #31: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #32: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #33: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_zQy-{F}(V0), P_zQy-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #34: unsound, references = 3, size of lhs = 3:
% 2.64/2.84 P_zQx-{F}(V0), P_zQx-{F}(V1), V0 == V1 | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 number of simplifiers = 8
% 2.64/2.84
% 2.64/2.84 Learnt:
% 2.64/2.84 #40: mergings( V1 == V2; #38 ), references = 2, size of lhs = 6:
% 2.64/2.84 P_zQy-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #45: mergings( V1 == V6, V2 == V7; #42 ), references = 3, size of lhs = 6:
% 2.64/2.84 P_x-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), quotient-{F}(V2,V1,V5) | P_zQy-{T}(V5)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #55: mergings( V3 == V5, V1 == V4, V4 == V6, V2 == V7, V6 == V8; #49 ), references = 1, size of lhs = 4:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_y-{F}(V1), P_x-{F}(V2) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #62: mergings( V1 == V3, V3 == V5, V2 == V4; #58 ), references = 1, size of lhs = 3:
% 2.64/2.84 P_x-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_y-{T}(V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #68: mergings( V1 == V7, V2 == V8; #65 ), references = 3, size of lhs = 7:
% 2.64/2.84 P_x-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_zQy-{F}(V3), P_zero-{F}(V4), P_identity-{F}(V5), quotient-{F}(V2,V0,V6) | P_zQx-{T}(V6)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #89: mergings( V2 == V3, V3 == V6, V6 == V9, V9 == V11, V1 == V4, V4 == V7, V7 == V10, V10 == V12, V11 == V5, V5 == V13, V13 == V8, V8 == V14; #76 ), references = 1, size of lhs = 4:
% 2.64/2.84 P_zero-{F}(V0), P_x-{F}(V0), P_y-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #107: mergings( V1 == V9, V9 == V11, V11 == V12, V2 == V10, V10 == V13, V3 == V6, V6 == V14, V4 == V7, V7 == V15, V5 == V8, V8 == V16; #95 ), references = 2, size of lhs = 6:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), quotient-{F}(V4,V2,V4) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #112: mergings( V1 == V3, V2 == V4; #109 ), references = 1, size of lhs = 4:
% 2.64/2.84 P_x-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_y-{F}(V2) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #116: mergings( V1 == V3, V2 == V4; #113 ), references = 1, size of lhs = 3:
% 2.64/2.84 P_x-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #131: mergings( V3 == V5, V4 == V6; #128 ), references = 1, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #164: mergings( V3 == V5, V5 == V7, V7 == V8, V4 == V6; #159 ), references = 1, size of lhs = 6:
% 2.64/2.84 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V0), quotient-{F}(V4,V5,V3), quotient-{F}(V6,V5,V2), quotient-{F}(V6,V4,V7) | P_divide-{T}(V7,V5,V0)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #191: mergings( V1 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V2 == V8, V8 == V10, V10 == V14, V14 == V17, V3 == V18, V4 == V19, V5 == V20, V6 == V17; #175 ), references = 1, size of lhs = 9:
% 2.64/2.84 P_zQy-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), quotient-{F}(V2,V5,V6), quotient-{F}(V4,V5,V7), quotient-{F}(V7,V6,V0) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #228: mergings( V3 == V5, V5 == V6, V6 == V7; #224 ), references = 2, size of lhs = 6:
% 2.64/2.84 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V4), quotient-{F}(V5,V2,V6), quotient-{F}(V5,V3,V7), quotient-{F}(V7,V4,V6) | P_divide-{T}(V6,V3,V6)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #264: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V16, V5 == V7, V7 == V8, V8 == V11, V11 == V13; #251 ), references = 1, size of lhs = 7:
% 2.64/2.84 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V2,V1), quotient-{F}(V1,V2,V1), quotient-{F}(V3,V2,V1), less_equal-{F}(V4,V2), quotient-{F}(V5,V3,V4) | P_divide-{T}(V5,V2,V1)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #311: mergings( V3 == V4, V4 == V6, V6 == V7; #307 ), references = 1, size of lhs = 6:
% 2.64/2.84 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V6,V3,V7) | P_divide-{T}(V7,V5,V1)
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #387: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V9, V4 == V8, V8 == V10; #380 ), references = 1, size of lhs = 11:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_zQy-{F}(V5), P_zQx-{F}(V6), quotient-{F}(V7,V8,V6), quotient-{F}(V8,V9,V10), quotient-{F}(V7,V9,V11), quotient-{F}(V11,V10,V5) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #402: mergings( V1 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V2 == V8, V8 == V12, V12 == V14, V3 == V15, V4 == V16, V5 == V17, V6 == V18; #389 ), references = 1, size of lhs = 9:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_zQy-{F}(V5), quotient-{F}(V2,V6,V7), quotient-{F}(V4,V6,V8), quotient-{F}(V8,V7,V5) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #423: mergings( V1 == V3, V3 == V7, V7 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V18, V2 == V4, V4 == V8, V8 == V13, V13 == V17, V17 == V19, V5 == V9, V9 == V20, V6 == V10, V10 == V21, V11 == V22; #405 ), references = 1, size of lhs = 6:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V2,V3,V0), P_z-{F}(V4) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #441: mergings( V1 == V3, V3 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V2 == V4, V4 == V8, V8 == V12, V12 == V16, V16 == V18, V5 == V9, V9 == V19, V6 == V10, V10 == V20; #424 ), references = 1, size of lhs = 5:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V2,V3,V0) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #461: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V16, V16 == V18, V7 == V10, V10 == V19; #444 ), references = 1, size of lhs = 3:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #477: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16; #462 ), references = 1, size of lhs = 2:
% 2.64/2.84 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #487: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #478 ), references = 1, size of lhs = 1:
% 2.64/2.84 P_zero-{F}(V0) | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 #489: exists( #19, #478 ), references = 1, size of lhs = 0:
% 2.64/2.84 FALSE | FALSE
% 2.64/2.84 (used 0 times, uses = {})
% 2.64/2.84
% 2.64/2.84 number of learnt formulas = 23
% 2.64/2.84
% 2.64/2.84
% 2.64/2.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/2.84
% 2.64/2.84 randbase = 1
%------------------------------------------------------------------------------