TSTP Solution File: BOO013-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO013-1 : 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 05:58:37 EDT 2022
% Result : Unsatisfiable 1.38s 1.53s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 08:36:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.38/1.53 GeoParameters:
% 1.38/1.53
% 1.38/1.53 tptp_input = 1
% 1.38/1.53 tptp_output = 0
% 1.38/1.53 nonempty = 1
% 1.38/1.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.38/1.53
% 1.38/1.53
% 1.38/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.53
% 1.38/1.53 RuleSystem INPUT:
% 1.38/1.53
% 1.38/1.53 Initial Rules:
% 1.38/1.53 #0: input, references = 6, size of lhs = 1:
% 1.38/1.53 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #1: input, references = 4, size of lhs = 1:
% 1.38/1.53 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #2: input, references = 6, size of lhs = 1:
% 1.38/1.53 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #3: input, references = 5, size of lhs = 1:
% 1.38/1.53 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #4: input, references = 5, size of lhs = 2:
% 1.38/1.53 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #5: input, references = 7, size of lhs = 2:
% 1.38/1.53 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #6: input, references = 9, size of lhs = 3:
% 1.38/1.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #7: input, references = 4, size of lhs = 3:
% 1.38/1.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #8: input, references = 4, size of lhs = 6:
% 1.38/1.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V6,V5,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #9: input, references = 3, size of lhs = 6:
% 1.38/1.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | product-{T}(V6,V5,V4)
% 1.38/1.53 (used 0 times, uses = {})
% 1.38/1.53
% 1.38/1.53 #10: input, references = 3, size of lhs = 6:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #11: input, references = 3, size of lhs = 6:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | product-{T}(V5,V6,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #12: input, references = 5, size of lhs = 6:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V6,V5,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #13: input, references = 5, size of lhs = 6:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | sum-{T}(V6,V5,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #14: input, references = 3, size of lhs = 6:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V6,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #15: input, references = 3, size of lhs = 6:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | sum-{T}(V5,V6,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #16: input, references = 4, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #17: input, references = 3, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #18: input, references = 3, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #19: input, references = 3, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #20: input, references = 10, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #21: input, references = 8, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #22: input, references = 7, size of lhs = 4:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3) | sum-{T}(V2,V3,V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #23: input, references = 6, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | sum-{T}(V2,V4,V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #24: input, references = 6, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | product-{T}(V2,V3,V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #25: input, references = 6, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | product-{T}(V2,V4,V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #26: input, references = 4, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V4), P_z-{F}(V4) | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #27: input, references = 5, size of lhs = 2:
% 1.38/1.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #28: input, references = 4, size of lhs = 2:
% 1.38/1.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #29: input, references = 4, size of lhs = 0:
% 1.38/1.54 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #30: input, references = 4, size of lhs = 0:
% 1.38/1.54 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #31: input, references = 4, size of lhs = 1:
% 1.38/1.54 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #32: input, references = 5, size of lhs = 0:
% 1.38/1.54 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #33: input, references = 7, size of lhs = 0:
% 1.38/1.54 FALSE | EXISTS V0: P_y-{T}(V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #34: input, references = 8, size of lhs = 0:
% 1.38/1.54 FALSE | EXISTS V0: P_z-{T}(V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 number of initial rules = 35
% 1.38/1.54
% 1.38/1.54 Simplifiers:
% 1.38/1.54 #35: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #36: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #37: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #38: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #39: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #40: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #41: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #42: unsound, references = 3, size of lhs = 3:
% 1.38/1.54 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 number of simplifiers = 8
% 1.38/1.54
% 1.38/1.54 Learnt:
% 1.38/1.54 #59: mergings( V1 == V3, V3 == V6, V6 == V8, V2 == V4, V4 == V7, V7 == V9; #51 ), references = 2, size of lhs = 6:
% 1.38/1.54 P_x-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V2,V3), product-{F}(V2,V3,V4), V2 == V4 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #66: mergings( V1 == V3, V3 == V6, V6 == V8, V2 == V4, V4 == V7, V7 == V9; #52 ), references = 1, size of lhs = 6:
% 1.38/1.54 P_x-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V2,V3), product-{F}(V3,V2,V4), V4 == V2 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #72: mergings( V1 == V2, V2 == V3; #69 ), references = 1, size of lhs = 2:
% 1.38/1.54 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V0) | P_x-{T}(V0)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #79: mergings( V1 == V2, V2 == V5, V3 == V6; #75 ), references = 1, size of lhs = 4:
% 1.38/1.54 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_multiplicative_identity-{F}(V2) | P_z-{T}(V2)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #87: mergings( V1 == V2, V2 == V4, V3 == V5; #83 ), references = 1, size of lhs = 3:
% 1.38/1.54 P_x-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_y-{T}(V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #99: mergings( V1 == V5, V2 == V6; #96 ), references = 2, size of lhs = 6:
% 1.38/1.54 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V1,V4), V4 == V2 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #104: mergings( V1 == V3, V2 == V4; #101 ), references = 1, size of lhs = 3:
% 1.38/1.54 P_x-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_y-{T}(V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #113: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #108 ), references = 1, size of lhs = 4:
% 1.38/1.54 P_x-{F}(V0), P_multiplicative_identity-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2) | P_z-{T}(V2)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #135: mergings( V1 == V5, V5 == V7, V7 == V11, V11 == V13, V2 == V6, V6 == V8, V8 == V12, V12 == V14, V3 == V9, V9 == V4, V4 == V10; #123 ), references = 1, size of lhs = 7:
% 1.38/1.54 P_x-{F}(V0), P_y-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), product-{F}(V0,V2,V3), sum-{F}(V1,V1,V4), V4 == V3 | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #167: exists( #27, #165 ), references = 1, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4) | P_add-{T}(V2,V3,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #198: mergings( V0 == V2, V2 == V4, V3 == V5; #194 ), references = 1, size of lhs = 2:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #220: exists( #28, #218 ), references = 1, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | P_multiply-{T}(V2,V3,V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #253: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #247 ), references = 2, size of lhs = 5:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), product-{F}(V4,V3,V5), sum-{F}(V2,V5,V6) | P_add-{T}(V2,V4,V6)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #281: mergings( V1 == V3, V3 == V5, V5 == V9, V9 == V13, V13 == V15, V15 == V17, V2 == V6, V6 == V10, V10 == V14, V14 == V16, V16 == V18, V7 == V11, V4 == V8, V8 == V12; #266 ), references = 1, size of lhs = 6:
% 1.38/1.54 P_x-{F}(V0), P_y-{F}(V1), sum-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V1,V3,V4) | P_z-{T}(V4)
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #303: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V7 == V10, V10 == V19; #286 ), references = 1, size of lhs = 3:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2) | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #319: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #304 ), references = 1, size of lhs = 2:
% 1.38/1.54 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #329: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #320 ), references = 1, size of lhs = 1:
% 1.38/1.54 P_additive_identity-{F}(V0) | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 #331: exists( #29, #320 ), references = 1, size of lhs = 0:
% 1.38/1.54 FALSE | FALSE
% 1.38/1.54 (used 0 times, uses = {})
% 1.38/1.54
% 1.38/1.54 number of learnt formulas = 18
% 1.38/1.54
% 1.38/1.54
% 1.38/1.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.54
% 1.38/1.54 randbase = 1
%------------------------------------------------------------------------------