TSTP Solution File: SWV488+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:21:46 EDT 2022
% Result : Theorem 0.91s 1.08s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n012.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 16:19:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.91/1.08 GeoParameters:
% 0.91/1.08
% 0.91/1.08 tptp_input = 1
% 0.91/1.08 tptp_output = 0
% 0.91/1.08 nonempty = 1
% 0.91/1.08 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.08 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.91/1.08
% 0.91/1.08
% 0.91/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.08
% 0.91/1.08 RuleSystem INPUT:
% 0.91/1.08
% 0.91/1.08 Initial Rules:
% 0.91/1.08 #0: input, references = 6, size of lhs = 1:
% 0.91/1.08 int_leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #1: input, references = 4, size of lhs = 1:
% 0.91/1.08 pppp0-{F}(V0,V1) | int_leq-{T}(V0,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #2: input, references = 6, size of lhs = 2:
% 0.91/1.08 pppp0-{F}(V0,V1), V0 == V1 | int_less-{T}(V0,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #3: input, references = 3, size of lhs = 1:
% 0.91/1.08 int_less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #4: input, references = 4, size of lhs = 1:
% 0.91/1.08 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #5: input, references = 3, size of lhs = 2:
% 0.91/1.08 int_less-{F}(V0,V1), int_less-{F}(V2,V0) | int_less-{T}(V2,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #6: input, references = 4, size of lhs = 1:
% 0.91/1.08 int_less-{F}(V1,V1) | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #7: input, references = 3, size of lhs = 2:
% 0.91/1.08 #-{F} V0, #-{F} V1 | int_less-{T}(V0,V1), int_leq-{T}(V1,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #8: input, references = 3, size of lhs = 2:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1) | int_less-{T}(V0,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #9: input, references = 4, size of lhs = 5:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4), P_plus-{F}(V3,V2,V5), V4 == V5 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #10: input, references = 4, size of lhs = 4:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #11: input, references = 5, size of lhs = 6:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), P_plus-{F}(V5,V2,V6), P_plus-{F}(V4,V3,V7), int_less-{F}(V5,V4) | int_leq-{T}(V6,V7)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #12: input, references = 4, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #13: input, references = 3, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | int_less-{T}(V2,V3)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #14: input, references = 5, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #15: input, references = 3, size of lhs = 4:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V4,V3), int_less-{F}(V0,V4) | pppp1-{T}(V2,V3)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #16: input, references = 5, size of lhs = 2:
% 0.91/1.08 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4) | int_less-{T}(V3,V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #17: input, references = 5, size of lhs = 3:
% 0.91/1.08 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4), V4 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #18: input, references = 5, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V0,V2) | int_leq-{T}(V1,V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #19: input, references = 4, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2) | int_less-{T}(V0,V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #20: input, references = 4, size of lhs = 4:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V3), P_real_one-{F}(V3) | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #21: input, references = 3, size of lhs = 16:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V8), int_leq-{F}(V8,V4), P_plus-{F}(V5,V7,V8), int_less-{F}(V0,V7), P_plus-{F}(V9,V7,V10), P_a-{F}(V10,V9,V11), int_leq-{F}(V1,V9), int_leq-{F}(V9,V5), V11 == V2 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #22: input, references = 4, size of lhs = 13:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), P_a-{F}(V7,V7,V8), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), V8 == V3 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #23: input, references = 3, size of lhs = 16:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V8), int_leq-{F}(V8,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), P_plus-{F}(V6,V7,V8), int_less-{F}(V0,V7), P_plus-{F}(V9,V7,V10), P_a-{F}(V9,V10,V11), int_leq-{F}(V1,V9), int_leq-{F}(V9,V6), V11 == V2 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #24: input, references = 4, size of lhs = 5:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4) | EXISTS V5: pppp4-{T}(V5,V1,V2,V4)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #25: input, references = 4, size of lhs = 1:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V2,V3)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #26: input, references = 4, size of lhs = 1:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3) | int_leq-{T}(V1,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #27: input, references = 4, size of lhs = 3:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4), V4 == V2 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #28: input, references = 4, size of lhs = 3:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #29: input, references = 4, size of lhs = 2:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4) | int_leq-{T}(V0,V3)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #30: input, references = 3, size of lhs = 2:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4) | int_leq-{T}(V1,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #31: input, references = 4, size of lhs = 0:
% 0.91/1.08 FALSE | EXISTS V0: P_int_zero-{T}(V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #32: input, references = 4, size of lhs = 0:
% 0.91/1.08 FALSE | EXISTS V0: P_int_one-{T}(V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #33: input, references = 6, size of lhs = 2:
% 0.91/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_plus-{T}(V0,V1,V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #34: input, references = 4, size of lhs = 0:
% 0.91/1.08 FALSE | EXISTS V0: P_real_zero-{T}(V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #35: input, references = 4, size of lhs = 0:
% 0.91/1.08 FALSE | EXISTS V0: P_real_one-{T}(V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #36: input, references = 4, size of lhs = 0:
% 0.91/1.08 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #37: input, references = 4, size of lhs = 2:
% 0.91/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_a-{T}(V0,V1,V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 number of initial rules = 38
% 0.91/1.08
% 0.91/1.08 Simplifiers:
% 0.91/1.08 #38: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_zero-{F}(V1), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #39: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_int_one-{F}(V0), P_int_one-{F}(V1), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #40: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_plus-{F}(V0,V1,V2), P_plus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #41: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_real_zero-{F}(V0), P_real_zero-{F}(V1), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #42: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_real_one-{F}(V0), P_real_one-{F}(V1), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #43: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #44: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 P_a-{F}(V0,V1,V2), P_a-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #45: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #46: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #47: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #48: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #49: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #50: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #51: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #52: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #53: unsound, references = 3, size of lhs = 3:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 number of simplifiers = 16
% 0.91/1.08
% 0.91/1.08 Learnt:
% 0.91/1.08 #56: exists( #33, #10 ), references = 1, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), #-{F} V2 | P_plus-{T}(V2,V0,V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #71: exists( #33, #9 ), references = 3, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4) | P_plus-{T}(V3,V2,V4)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #80: exists( #33, #17 ), references = 3, size of lhs = 1:
% 0.91/1.08 pppp2-{F}(V0,V1,V2,V3) | P_plus-{T}(V0,V2,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #148: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #138 ), references = 1, size of lhs = 9:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V5), V5 == V4, P_plus-{F}(V5,V6,V1), int_leq-{F}(V6,V7), P_plus-{F}(V4,V7,V0) | pppp2-{T}(V3,V4,V1,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #174: mergings( V0 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V3, V1 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19; #157 ), references = 1, size of lhs = 8:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V1), P_plus-{F}(V1,V2,V3), P_plus-{F}(V3,V4,V1), int_leq-{F}(V4,V5), pppp1-{F}(V5,V0), P_plus-{F}(V1,V1,V6) | pppp2-{T}(V5,V0,V1,V0), pppp2-{T}(V5,V0,V3,V0), pppp2-{T}(V5,V0,V6,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #192: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V0 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #175 ), references = 1, size of lhs = 12:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V1), P_plus-{F}(V1,V2,V3), P_plus-{F}(V3,V4,V1), int_leq-{F}(V4,V5), pppp1-{F}(V5,V0), P_plus-{F}(V1,V1,V6), P_plus-{F}(V5,V3,V7), V7 == V0, P_plus-{F}(V5,V6,V8), V8 == V0 | pppp2-{T}(V5,V0,V1,V0)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #219: exists( #37, #28 ), references = 1, size of lhs = 2:
% 0.91/1.08 pppp3-{F}(V0,V1,V2,V3), V0 == V1 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #221: mergings( V0 == V1; #217 ), references = 2, size of lhs = 1:
% 0.91/1.08 pppp3-{F}(V0,V0,V1,V2) | P_a-{T}(V0,V0,V1)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #223: exists( #25, #218 ), references = 2, size of lhs = 1:
% 0.91/1.08 pppp4-{F}(V0,V1,V2,V3) | pppp3-{T}(V0,V0,V2,V3)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #237: mergings( V0 == V6, V2 == V7, V3 == V8; #233 ), references = 1, size of lhs = 6:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V2 == V3, P_n-{F}(V4) | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #242: mergings( V1 == V4, V2 == V6, V3 == V7; #238 ), references = 1, size of lhs = 5:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V2 == V3 | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #246: mergings( V1 == V3, V2 == V5; #243 ), references = 1, size of lhs = 3:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2) | P_real_one-{T}(V2)
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #252: mergings( V1 == V2, V2 == V4, V3 == V5; #248 ), references = 1, size of lhs = 2:
% 0.91/1.08 P_int_zero-{F}(V0), P_int_one-{F}(V1) | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #256: mergings( V1 == V2, V2 == V3; #253 ), references = 1, size of lhs = 1:
% 0.91/1.08 P_int_zero-{F}(V0) | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 #258: exists( #31, #253 ), references = 1, size of lhs = 0:
% 0.91/1.08 FALSE | FALSE
% 0.91/1.08 (used 0 times, uses = {})
% 0.91/1.08
% 0.91/1.08 number of learnt formulas = 15
% 0.91/1.08
% 0.91/1.08
% 0.91/1.08 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.08
% 0.91/1.08 randbase = 1
%------------------------------------------------------------------------------