TSTP Solution File: SYN039-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:23:30 EDT 2022
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 : Sat Jul 23 03:09:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.59 GeoParameters:
% 0.42/0.59
% 0.42/0.59 tptp_input = 1
% 0.42/0.59 tptp_output = 0
% 0.42/0.59 nonempty = 1
% 0.42/0.59 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59
% 0.42/0.59 RuleSystem INPUT:
% 0.42/0.59
% 0.42/0.59 Initial Rules:
% 0.42/0.59 #0: input, references = 4, size of lhs = 3:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), s-{F}(V0,V2), q-{F}(V1,V2) | p-{T}(V2,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #1: input, references = 3, size of lhs = 3:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), s-{F}(V0,V2), #-{F} V3 | p-{T}(V2,V2), q-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #2: input, references = 8, size of lhs = 3:
% 0.42/0.59 s-{F}(V0,V0), P_f1-{F}(V1,V0,V2), s-{F}(V1,V2) | p-{T}(V2,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #3: input, references = 3, size of lhs = 3:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), q-{F}(V1,V2), #-{F} V3 | p-{T}(V2,V2), s-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #4: input, references = 8, size of lhs = 3:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), #-{F} V3, #-{F} V4 | p-{T}(V2,V2), q-{T}(V2,V3), s-{T}(V2,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #5: input, references = 3, size of lhs = 3:
% 0.42/0.59 s-{F}(V0,V0), P_f1-{F}(V1,V0,V2), #-{F} V3 | p-{T}(V2,V2), s-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #6: input, references = 7, size of lhs = 3:
% 0.42/0.59 q-{F}(V0,V0), P_f1-{F}(V2,V1,V3), q-{F}(V1,V3) | p-{T}(V3,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #7: input, references = 3, size of lhs = 2:
% 0.42/0.59 q-{F}(V0,V0), P_f1-{F}(V2,V1,V3) | p-{T}(V3,V3), q-{T}(V3,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #8: input, references = 3, size of lhs = 3:
% 0.42/0.59 q-{F}(V0,V0), s-{F}(V1,V1), P_f1-{F}(V2,V1,V3) | p-{T}(V3,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #9: input, references = 4, size of lhs = 4:
% 0.42/0.59 p-{F}(V0,V0), P_f1-{F}(V0,V1,V2), s-{F}(V0,V2), q-{F}(V1,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #10: input, references = 5, size of lhs = 4:
% 0.42/0.59 p-{F}(V0,V0), P_f1-{F}(V0,V1,V2), s-{F}(V0,V2), #-{F} V3 | q-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #11: input, references = 6, size of lhs = 4:
% 0.42/0.59 s-{F}(V0,V0), P_f1-{F}(V1,V0,V2), p-{F}(V1,V1), s-{F}(V1,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #12: input, references = 3, size of lhs = 4:
% 0.42/0.59 p-{F}(V0,V0), P_f1-{F}(V0,V1,V2), q-{F}(V1,V2), #-{F} V3 | s-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #13: input, references = 4, size of lhs = 4:
% 0.42/0.59 p-{F}(V0,V0), P_f1-{F}(V0,V1,V2), #-{F} V3, #-{F} V4 | q-{T}(V2,V3), s-{T}(V2,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #14: input, references = 4, size of lhs = 4:
% 0.42/0.59 s-{F}(V0,V0), P_f1-{F}(V1,V0,V2), p-{F}(V1,V1), #-{F} V3 | s-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #15: input, references = 7, size of lhs = 4:
% 0.42/0.59 q-{F}(V0,V0), p-{F}(V1,V1), P_f1-{F}(V1,V2,V3), q-{F}(V2,V3) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #16: input, references = 3, size of lhs = 3:
% 0.42/0.59 q-{F}(V0,V0), p-{F}(V1,V1), P_f1-{F}(V1,V2,V3) | q-{T}(V3,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #17: input, references = 6, size of lhs = 3:
% 0.42/0.59 p-{F}(V0,V0), s-{F}(V1,V1), q-{F}(V2,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #18: input, references = 3, size of lhs = 4:
% 0.42/0.59 #-{F} V1, P_f1-{F}(V0,V2,V3), s-{F}(V0,V3), q-{F}(V2,V3) | s-{T}(V1,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #19: input, references = 3, size of lhs = 4:
% 0.42/0.59 #-{F} V1, P_f1-{F}(V0,V2,V3), s-{F}(V0,V3), #-{F} V4 | s-{T}(V1,V0), q-{T}(V3,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #20: input, references = 5, size of lhs = 4:
% 0.42/0.59 s-{F}(V0,V0), P_f1-{F}(V1,V0,V2), s-{F}(V1,V2), #-{F} V3 | s-{T}(V3,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #21: input, references = 3, size of lhs = 3:
% 0.42/0.59 #-{F} V1, P_f1-{F}(V0,V2,V3), q-{F}(V2,V3) | s-{T}(V1,V0), s-{T}(V3,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #22: input, references = 6, size of lhs = 3:
% 0.42/0.59 #-{F} V1, P_f1-{F}(V0,V2,V3), #-{F} V4 | s-{T}(V1,V0), s-{T}(V3,V1), q-{T}(V3,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #23: input, references = 3, size of lhs = 3:
% 0.42/0.59 s-{F}(V0,V0), #-{F} V1, P_f1-{F}(V2,V0,V3) | s-{T}(V1,V2), s-{T}(V3,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #24: input, references = 6, size of lhs = 4:
% 0.42/0.59 q-{F}(V0,V0), P_f1-{F}(V1,V2,V3), q-{F}(V2,V3), #-{F} V4 | s-{T}(V4,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #25: input, references = 3, size of lhs = 3:
% 0.42/0.59 q-{F}(V0,V0), P_f1-{F}(V1,V2,V3), #-{F} V4 | q-{T}(V3,V0), s-{T}(V4,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #26: input, references = 3, size of lhs = 4:
% 0.42/0.59 s-{F}(V0,V0), q-{F}(V1,V1), #-{F} V2, #-{F} V3 | s-{T}(V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #27: input, references = 10, size of lhs = 2:
% 0.42/0.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 number of initial rules = 28
% 0.42/0.59
% 0.42/0.59 Simplifiers:
% 0.42/0.59 #28: unsound, references = 3, size of lhs = 2:
% 0.42/0.59 p-{F}(V0,V1), V1 == V0 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #29: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 number of simplifiers = 2
% 0.42/0.59
% 0.42/0.59 Learnt:
% 0.42/0.59 #39: disj( #4, #6+#15, #2+#11 ), references = 1, size of lhs = 3:
% 0.42/0.59 P_f1-{F}(V0,V0,V0), P_f1-{F}(V1,V0,V0), P_f1-{F}(V2,V3,V0) | p-{T}(V0,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #44: disj( #22, #10+#9, input ), references = 1, size of lhs = 6:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), P_f1-{F}(V0,V1,V1), P_f1-{F}(V1,V2,V2), P_f1-{F}(V1,V3,V2), P_f1-{F}(V4,V5,V1) | s-{T}(V2,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #45: disj( #22, #10+#15, input ), references = 1, size of lhs = 7:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), P_f1-{F}(V0,V2,V2), p-{F}(V3,V3), P_f1-{F}(V1,V3,V3), P_f1-{F}(V3,V4,V2), P_f1-{F}(V5,V6,V3) | s-{T}(V2,V5)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #58: exists( #27, #56 ), references = 3, size of lhs = 7:
% 0.42/0.59 s-{F}(V0,V0), p-{F}(V1,V1), P_f1-{F}(V1,V0,V2), s-{F}(V3,V3), s-{F}(V4,V4), p-{F}(V5,V5), P_f1-{F}(V5,V4,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #67: disj( #22, exists( #27, #56 ), #24+#17 ), references = 1, size of lhs = 7:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), p-{F}(V2,V2), P_f1-{F}(V0,V3,V4), P_f1-{F}(V1,V3,V4), P_f1-{F}(V3,V5,V6), P_f1-{F}(V7,V6,V6) | s-{T}(V6,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #68: disj( #22, exists( #27, #56 ), #24+#58 ), references = 1, size of lhs = 10:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), p-{F}(V2,V2), p-{F}(V3,V3), P_f1-{F}(V0,V4,V5), P_f1-{F}(V1,V4,V5), P_f1-{F}(V4,V6,V7), P_f1-{F}(V8,V7,V7), P_f1-{F}(V2,V8,V9), P_f1-{F}(V3,V8,V9) | s-{T}(V7,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #69: disj( #22, #59+#17, #24+#17 ), references = 1, size of lhs = 13:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), p-{F}(V2,V2), p-{F}(V3,V3), p-{F}(V4,V4), p-{F}(V5,V5), P_f1-{F}(V0,V6,V7), P_f1-{F}(V1,V6,V7), P_f1-{F}(V2,V6,V8), P_f1-{F}(V3,V6,V8), P_f1-{F}(V6,V9,V10), P_f1-{F}(V11,V10,V10), P_f1-{F}(V12,V13,V14) | s-{T}(V10,V6)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #76: disj( #13, exists( #27, #56 ) ), references = 3, size of lhs = 7:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), p-{F}(V2,V2), P_f1-{F}(V0,V3,V4), P_f1-{F}(V1,V4,V5), P_f1-{F}(V2,V4,V5), #-{F} V6 | q-{T}(V4,V6)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #77: disj( #13, input ), references = 1, size of lhs = 6:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), s-{F}(V1,V2), P_f1-{F}(V1,V3,V2), P_f1-{F}(V0,V4,V3), #-{F} V5 | q-{T}(V3,V5)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #82: exists( #27, #80 ), references = 5, size of lhs = 5:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1), p-{F}(V2,V2), P_f1-{F}(V0,V3,V4), P_f1-{F}(V1,V5,V4) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #84: disj( #4, exists( #27, #80 ), #6+#24+#17 ), references = 3, size of lhs = 6:
% 0.42/0.59 P_f1-{F}(V0,V1,V1), P_f1-{F}(V2,V1,V1), P_f1-{F}(V3,V4,V1), P_f1-{F}(V1,V5,V6), P_f1-{F}(V1,V7,V6), #-{F} V8 | s-{T}(V1,V8)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #101: exists( #27, #95 ), references = 1, size of lhs = 7:
% 0.42/0.59 P_f1-{F}(V0,V1,V1), P_f1-{F}(V2,V1,V1), P_f1-{F}(V3,V1,V1), P_f1-{F}(V4,V1,V1), P_f1-{F}(V5,V1,V1), P_f1-{F}(V6,V7,V1), P_f1-{F}(V8,V9,V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #104: disj( #4, exists( #27, #80 ), #0+#82 ), references = 1, size of lhs = 8:
% 0.42/0.59 s-{F}(V0,V1), P_f1-{F}(V0,V2,V1), P_f1-{F}(V3,V4,V2), P_f1-{F}(V2,V5,V6), P_f1-{F}(V2,V7,V6), P_f1-{F}(V1,V8,V9), P_f1-{F}(V1,V10,V9), #-{F} V11 | s-{T}(V2,V11)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #111: disj( #4, exists( #27, #80 ), #103+#2+#82 ), references = 1, size of lhs = 12:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), P_f1-{F}(V2,V3,V4), P_f1-{F}(V2,V5,V4), P_f1-{F}(V2,V6,V7), P_f1-{F}(V8,V9,V6), P_f1-{F}(V6,V10,V11), P_f1-{F}(V6,V12,V11), P_f1-{F}(V7,V13,V14), P_f1-{F}(V7,V15,V14), P_f1-{F}(V7,V16,V17), P_f1-{F}(V7,V18,V17), #-{F} V19 | q-{T}(V2,V19)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #112: disj( #4, exists( #27, #80 ), #103+#2+#58 ), references = 4, size of lhs = 11:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), P_f1-{F}(V2,V3,V4), P_f1-{F}(V2,V5,V4), P_f1-{F}(V2,V6,V7), P_f1-{F}(V7,V6,V8), P_f1-{F}(V9,V10,V6), P_f1-{F}(V6,V11,V12), P_f1-{F}(V6,V13,V12), P_f1-{F}(V7,V14,V15), P_f1-{F}(V7,V16,V15), #-{F} V17 | q-{T}(V2,V17)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #149: exists( #27, #145 ), references = 1, size of lhs = 9:
% 0.42/0.59 q-{F}(V0,V0), P_f1-{F}(V1,V2,V3), P_f1-{F}(V3,V4,V5), P_f1-{F}(V3,V6,V5), P_f1-{F}(V7,V3,V8), P_f1-{F}(V3,V9,V8), P_f1-{F}(V10,V11,V9), P_f1-{F}(V9,V12,V13), P_f1-{F}(V9,V14,V13) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #150: exists( #27, #146 ), references = 1, size of lhs = 17:
% 0.42/0.59 q-{F}(V0,V0), q-{F}(V1,V1), P_f1-{F}(V2,V2,V3), P_f1-{F}(V4,V2,V3), P_f1-{F}(V5,V4,V3), P_f1-{F}(V6,V7,V4), P_f1-{F}(V4,V8,V9), P_f1-{F}(V4,V10,V9), P_f1-{F}(V11,V12,V2), P_f1-{F}(V2,V13,V14), P_f1-{F}(V2,V15,V14), P_f1-{F}(V16,V17,V2), P_f1-{F}(V2,V18,V19), P_f1-{F}(V2,V20,V19), P_f1-{F}(V21,V22,V2), P_f1-{F}(V2,V23,V24), P_f1-{F}(V2,V25,V24) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #153: disj( #4, exists( #27, #80 ), exists( #27, #145 ) ), references = 2, size of lhs = 12:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), P_f1-{F}(V2,V3,V4), P_f1-{F}(V2,V5,V4), P_f1-{F}(V6,V7,V8), P_f1-{F}(V8,V9,V10), P_f1-{F}(V8,V11,V10), P_f1-{F}(V12,V8,V13), P_f1-{F}(V8,V14,V13), P_f1-{F}(V15,V16,V14), P_f1-{F}(V14,V17,V18), P_f1-{F}(V14,V19,V18), #-{F} V20 | s-{T}(V2,V20)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #154: disj( #4, exists( #27, #80 ), exists( #27, #146 ) ), references = 1, size of lhs = 19:
% 0.42/0.59 P_f1-{F}(V0,V0,V1), P_f1-{F}(V2,V0,V1), P_f1-{F}(V3,V2,V1), P_f1-{F}(V4,V5,V2), P_f1-{F}(V2,V6,V7), P_f1-{F}(V2,V8,V7), P_f1-{F}(V9,V10,V0), P_f1-{F}(V0,V11,V12), P_f1-{F}(V0,V13,V12), P_f1-{F}(V14,V15,V0), P_f1-{F}(V0,V16,V17), P_f1-{F}(V0,V18,V17), P_f1-{F}(V19,V20,V0), P_f1-{F}(V0,V21,V22), P_f1-{F}(V0,V23,V22), P_f1-{F}(V24,V25,V26), P_f1-{F}(V26,V27,V28), P_f1-{F}(V26,V29,V28), #-{F} V30 | s-{T}(V26,V30)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #162: exists( #27, #82 ), references = 1, size of lhs = 2:
% 0.42/0.59 p-{F}(V0,V0), p-{F}(V1,V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #167: exists( #27, #165 ), references = 1, size of lhs = 6:
% 0.42/0.59 P_f1-{F}(V0,V1,V2), P_f1-{F}(V3,V4,V2), P_f1-{F}(V5,V6,V2), P_f1-{F}(V7,V8,V2), P_f1-{F}(V9,V10,V2), P_f1-{F}(V11,V12,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #169: exists( #27, #166 ), references = 1, size of lhs = 1:
% 0.42/0.59 #-{F} V0 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 number of learnt formulas = 22
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.59
% 0.42/0.59 randbase = 1
%------------------------------------------------------------------------------