TSTP Solution File: SWV488+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV488+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 1.70s 1.92s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV488+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n010.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 15:47:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.70/1.92 GeoParameters:
% 1.70/1.92
% 1.70/1.92 tptp_input = 1
% 1.70/1.92 tptp_output = 0
% 1.70/1.92 nonempty = 1
% 1.70/1.92 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/1.92 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.70/1.92
% 1.70/1.92
% 1.70/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/1.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/1.92
% 1.70/1.92 RuleSystem INPUT:
% 1.70/1.92
% 1.70/1.92 Initial Rules:
% 1.70/1.92 #0: input, references = 9, size of lhs = 1:
% 1.70/1.92 int_leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #1: input, references = 4, size of lhs = 1:
% 1.70/1.92 pppp0-{F}(V0,V1) | int_leq-{T}(V0,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #2: input, references = 9, size of lhs = 2:
% 1.70/1.92 pppp0-{F}(V0,V1), V0 == V1 | int_less-{T}(V0,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #3: input, references = 3, size of lhs = 1:
% 1.70/1.92 int_less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #4: input, references = 4, size of lhs = 1:
% 1.70/1.92 #-{F} V1 | pppp0-{T}(V1,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #5: input, references = 6, size of lhs = 2:
% 1.70/1.92 int_less-{F}(V0,V1), int_less-{F}(V2,V0) | int_less-{T}(V2,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #6: input, references = 7, size of lhs = 1:
% 1.70/1.92 int_less-{F}(V1,V1) | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #7: input, references = 7, size of lhs = 2:
% 1.70/1.92 #-{F} V0, #-{F} V1 | int_less-{T}(V0,V1), int_leq-{T}(V1,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #8: input, references = 3, size of lhs = 2:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1) | int_less-{T}(V0,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #9: input, references = 4, size of lhs = 5:
% 1.70/1.92 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
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #10: input, references = 4, size of lhs = 4:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V0,V3), V3 == V2 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #11: input, references = 6, size of lhs = 6:
% 1.70/1.92 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)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #12: input, references = 3, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #13: input, references = 6, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | int_less-{T}(V2,V3)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #14: input, references = 3, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #15: input, references = 6, size of lhs = 4:
% 1.70/1.92 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)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #16: input, references = 3, size of lhs = 2:
% 1.70/1.92 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4) | int_less-{T}(V3,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #17: input, references = 4, size of lhs = 3:
% 1.70/1.92 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4), V4 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #18: input, references = 5, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V0,V2) | int_leq-{T}(V1,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #19: input, references = 3, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2) | int_less-{T}(V0,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #20: input, references = 4, size of lhs = 4:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V3), P_real_one-{F}(V3) | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #21: input, references = 3, size of lhs = 17:
% 1.70/1.92 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), P_lu-{F}(V10,V9,V12), int_leq-{F}(V1,V9), int_leq-{F}(V9,V5), V11 == V12 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #22: input, references = 6, size of lhs = 13:
% 1.70/1.92 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
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #23: input, references = 3, size of lhs = 16:
% 1.70/1.92 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
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #24: input, references = 4, size of lhs = 5:
% 1.70/1.92 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)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #25: input, references = 4, size of lhs = 1:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V1,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #26: input, references = 4, size of lhs = 1:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3) | int_leq-{T}(V0,V3)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #27: input, references = 4, size of lhs = 3:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4), V4 == V3 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #28: input, references = 4, size of lhs = 3:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #29: input, references = 3, size of lhs = 2:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4) | int_leq-{T}(V0,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #30: input, references = 4, size of lhs = 2:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4) | int_leq-{T}(V2,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #31: input, references = 4, size of lhs = 0:
% 1.70/1.92 FALSE | EXISTS V0: P_int_zero-{T}(V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #32: input, references = 4, size of lhs = 0:
% 1.70/1.92 FALSE | EXISTS V0: P_int_one-{T}(V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #33: input, references = 6, size of lhs = 2:
% 1.70/1.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_plus-{T}(V0,V1,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #34: input, references = 4, size of lhs = 0:
% 1.70/1.92 FALSE | EXISTS V0: P_real_zero-{T}(V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #35: input, references = 4, size of lhs = 0:
% 1.70/1.92 FALSE | EXISTS V0: P_real_one-{T}(V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #36: input, references = 4, size of lhs = 0:
% 1.70/1.92 FALSE | EXISTS V0: P_n-{T}(V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #37: input, references = 7, size of lhs = 2:
% 1.70/1.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_a-{T}(V0,V1,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #38: input, references = 3, size of lhs = 2:
% 1.70/1.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_lu-{T}(V0,V1,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 number of initial rules = 39
% 1.70/1.92
% 1.70/1.92 Simplifiers:
% 1.70/1.92 #39: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_zero-{F}(V1), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #40: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_int_one-{F}(V0), P_int_one-{F}(V1), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #41: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_plus-{F}(V0,V1,V2), P_plus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #42: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_real_zero-{F}(V0), P_real_zero-{F}(V1), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #43: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_real_one-{F}(V0), P_real_one-{F}(V1), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #44: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #45: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_a-{F}(V0,V1,V2), P_a-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #46: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 P_lu-{F}(V0,V1,V2), P_lu-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #47: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #48: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #49: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #50: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #51: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #52: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #53: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #54: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #55: unsound, references = 3, size of lhs = 3:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 number of simplifiers = 17
% 1.70/1.92
% 1.70/1.92 Learnt:
% 1.70/1.92 #77: mergings( V1 == V4, V2 == V3, V3 == V5; #72 ), references = 1, size of lhs = 5:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V2,V1), V0 == V2, V1 == V2 | int_less-{T}(V2,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #79: exists( #33, #10 ), references = 1, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), #-{F} V2 | P_plus-{T}(V2,V0,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #95: exists( #33, #9 ), references = 1, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4) | P_plus-{T}(V3,V2,V4)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #107: mergings( V1 == V2, V2 == V4, V4 == V6, V3 == V5, V5 == V7; #101 ), references = 1, size of lhs = 15:
% 1.70/1.92 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}(V5,V5), V0 == V5, P_a-{F}(V5,V5,V6), V6 == V3, int_leq-{F}(V7,V8), P_plus-{F}(V0,V7,V9), P_plus-{F}(V5,V8,V10), P_plus-{F}(V11,V9,V5), int_less-{F}(V11,V12), P_plus-{F}(V12,V10,V4) | int_less-{T}(V5,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #140: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V12, V4 == V6, V6 == V8, V8 == V13; #130 ), references = 1, size of lhs = 16:
% 1.70/1.92 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), P_int_zero-{F}(V3), P_int_one-{F}(V4), int_leq-{F}(V5,V5), V3 == V5, P_plus-{F}(V5,V6,V3), int_leq-{F}(V6,V7), P_plus-{F}(V3,V7,V5), int_leq-{F}(V8,V9), P_plus-{F}(V3,V8,V10), P_plus-{F}(V5,V9,V11), P_plus-{F}(V12,V10,V5), int_less-{F}(V12,V13), P_plus-{F}(V13,V11,V2) | P_a-{T}(V5,V5,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #149: mergings( V1 == V3, V2 == V4; #146 ), references = 1, size of lhs = 4:
% 1.70/1.92 P_int_zero-{F}(V0), P_plus-{F}(V1,V1,V0), V0 == V1, P_int_one-{F}(V2) | int_less-{T}(V1,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #167: exists( #37, #22 ), references = 1, size of lhs = 11:
% 1.70/1.92 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), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5) | P_a-{T}(V7,V7,V3)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #175: mergings( V1 == V4, V2 == V5; #172 ), references = 1, size of lhs = 4:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V2), V0 == V3 | int_less-{T}(V3,V0)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #183: exists( #33, #17 ), references = 1, size of lhs = 1:
% 1.70/1.92 pppp2-{F}(V0,V1,V2,V3) | P_plus-{T}(V0,V2,V1)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #282: exists( #37, #28 ), references = 1, size of lhs = 2:
% 1.70/1.92 pppp3-{F}(V0,V1,V2,V3), V0 == V1 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #284: exists( #25, #281 ), references = 2, size of lhs = 1:
% 1.70/1.92 pppp4-{F}(V0,V1,V2,V3) | pppp3-{T}(V0,V0,V1,V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #364: exists( #37, #358 ), references = 1, size of lhs = 8:
% 1.70/1.92 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}(V5,V5), int_leq-{F}(V5,V4), pppp3-{F}(V5,V5,V1,V6) | P_a-{T}(V5,V5,V3)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #374: mergings( V0 == V6, V2 == V7, V3 == V8; #370 ), references = 1, size of lhs = 6:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2, P_n-{F}(V4) | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #379: mergings( V1 == V4, V2 == V6, V3 == V7; #375 ), references = 1, size of lhs = 5:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2 | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #383: mergings( V1 == V3, V2 == V5; #380 ), references = 1, size of lhs = 3:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2) | P_real_one-{T}(V2)
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #389: mergings( V1 == V2, V2 == V4, V3 == V5; #385 ), references = 1, size of lhs = 2:
% 1.70/1.92 P_int_zero-{F}(V0), P_int_one-{F}(V1) | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #393: mergings( V1 == V2, V2 == V3; #390 ), references = 1, size of lhs = 1:
% 1.70/1.92 P_int_zero-{F}(V0) | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 #395: exists( #31, #390 ), references = 1, size of lhs = 0:
% 1.70/1.92 FALSE | FALSE
% 1.70/1.92 (used 0 times, uses = {})
% 1.70/1.92
% 1.70/1.92 number of learnt formulas = 18
% 1.70/1.92
% 1.70/1.92
% 1.70/1.92 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/1.92
% 1.70/1.92 randbase = 1
%------------------------------------------------------------------------------