TSTP Solution File: KLE119+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE119+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:07:08 EDT 2022
% Result : Theorem 1.18s 1.35s
% Output : Refutation 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 : Fri Jul 22 17:03:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.18/1.35 GeoParameters:
% 1.18/1.35
% 1.18/1.35 tptp_input = 1
% 1.18/1.35 tptp_output = 0
% 1.18/1.35 nonempty = 1
% 1.18/1.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.18/1.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.18/1.35
% 1.18/1.35
% 1.18/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.18/1.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.18/1.35
% 1.18/1.35 RuleSystem INPUT:
% 1.18/1.35
% 1.18/1.35 Initial Rules:
% 1.18/1.35 #0: input, references = 4, size of lhs = 3:
% 1.18/1.35 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #1: input, references = 3, size of lhs = 5:
% 1.18/1.35 P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #2: input, references = 4, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #3: input, references = 4, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #4: input, references = 4, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #5: input, references = 4, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #6: input, references = 5, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #7: input, references = 4, size of lhs = 8:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #8: input, references = 4, size of lhs = 8:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #9: input, references = 4, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #10: input, references = 4, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #11: input, references = 3, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #12: input, references = 3, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #13: input, references = 4, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #14: input, references = 3, size of lhs = 10:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_antidomain-{F}(V4,V5), P_antidomain-{F}(V3,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V2,V7,V8), P_antidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #15: input, references = 4, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #16: input, references = 6, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #17: input, references = 4, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #18: input, references = 3, size of lhs = 10:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_coantidomain-{F}(V4,V5), P_coantidomain-{F}(V2,V6), P_coantidomain-{F}(V6,V7), P_multiplication-{F}(V7,V3,V8), P_coantidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #19: input, references = 5, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #20: input, references = 5, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4), P_coantidomain-{F}(V4,V5), V3 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #21: input, references = 5, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_domain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #22: input, references = 4, size of lhs = 7:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain_difference-{F}(V2,V3,V4), P_domain-{F}(V2,V5), P_antidomain-{F}(V3,V6), P_multiplication-{F}(V5,V6,V7), V4 == V7 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #23: input, references = 4, size of lhs = 7:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_forward_diamond-{F}(V2,V3,V4), P_domain-{F}(V3,V5), P_multiplication-{F}(V2,V5,V6), P_domain-{F}(V6,V7), V4 == V7 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #24: input, references = 4, size of lhs = 7:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_backward_diamond-{F}(V2,V3,V4), P_codomain-{F}(V3,V5), P_multiplication-{F}(V5,V2,V6), P_codomain-{F}(V6,V7), V4 == V7 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #25: input, references = 4, size of lhs = 7:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_forward_box-{F}(V2,V3,V4), P_c-{F}(V3,V5), P_forward_diamond-{F}(V2,V5,V6), P_c-{F}(V6,V7), V4 == V7 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #26: input, references = 4, size of lhs = 7:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_backward_box-{F}(V2,V3,V4), P_c-{F}(V3,V5), P_backward_diamond-{F}(V2,V5,V6), P_c-{F}(V6,V7), V4 == V7 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #27: input, references = 4, size of lhs = 2:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp1-{T}(V0,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #28: input, references = 4, size of lhs = 1:
% 1.18/1.35 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V1,V0,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #29: input, references = 5, size of lhs = 5:
% 1.18/1.35 pppp0-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_backward_diamond-{F}(V1,V3,V4), P_domain-{F}(V2,V5), P_addition-{F}(V4,V5,V5) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #30: input, references = 7, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #31: input, references = 4, size of lhs = 0:
% 1.18/1.35 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #32: input, references = 7, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #33: input, references = 4, size of lhs = 0:
% 1.18/1.35 FALSE | EXISTS V0: P_one-{T}(V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #34: input, references = 6, size of lhs = 1:
% 1.18/1.35 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #35: input, references = 7, size of lhs = 1:
% 1.18/1.35 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #36: input, references = 5, size of lhs = 1:
% 1.18/1.35 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #37: input, references = 6, size of lhs = 1:
% 1.18/1.35 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #38: input, references = 5, size of lhs = 1:
% 1.18/1.35 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #39: input, references = 4, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_domain_difference-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #40: input, references = 4, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_diamond-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #41: input, references = 4, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_diamond-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #42: input, references = 4, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_box-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #43: input, references = 4, size of lhs = 2:
% 1.18/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_box-{T}(V0,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 number of initial rules = 44
% 1.18/1.35
% 1.18/1.35 Simplifiers:
% 1.18/1.35 #44: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #45: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #46: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #47: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #48: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #49: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #50: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #51: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #52: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #53: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_domain_difference-{F}(V0,V1,V2), P_domain_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #54: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_forward_diamond-{F}(V0,V1,V2), P_forward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #55: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_backward_diamond-{F}(V0,V1,V2), P_backward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #56: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_forward_box-{F}(V0,V1,V2), P_forward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #57: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 P_backward_box-{F}(V0,V1,V2), P_backward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #58: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #59: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V0 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #60: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #61: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #62: unsound, references = 3, size of lhs = 3:
% 1.18/1.35 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 number of simplifiers = 19
% 1.18/1.35
% 1.18/1.35 Learnt:
% 1.18/1.35 #64: exists( #30, #19 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #67: exists( #37, #20 ), references = 2, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #69: exists( #38, #21 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_c-{T}(V2,V4)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #72: exists( #30, #2 ), references = 4, size of lhs = 2:
% 1.18/1.35 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #74: exists( #30, #3 ), references = 1, size of lhs = 2:
% 1.18/1.35 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #76: exists( #32, #17 ), references = 1, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #82: mergings( V2 == V4, V3 == V0; #79 ), references = 1, size of lhs = 2:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #84: exists( #43, #26 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_backward_diamond-{F}(V4,V3,V5), P_c-{F}(V5,V6) | P_backward_box-{T}(V4,V2,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #86: exists( #42, #25 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_forward_diamond-{F}(V4,V3,V5), P_c-{F}(V5,V6) | P_forward_box-{T}(V4,V2,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #88: exists( #41, #24 ), references = 4, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V5), P_codomain-{F}(V5,V6) | P_backward_diamond-{T}(V4,V2,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #90: exists( #34, #21 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_domain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #95: mergings( V2 == V4, V3 == V5; #92 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_domain-{F}(V4,V5) | P_c-{T}(V2,V5)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #100: exists( #32, #5 ), references = 2, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #101: exists( #32, #6 ), references = 1, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #106: mergings( V2 == V3, V0 == V4; #103 ), references = 1, size of lhs = 2:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #111: exists( #34, #16 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #118: mergings( V2 == V3, V3 == V5, V4 == V6; #114 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0), P_antidomain-{F}(V3,V0) | P_domain-{T}(V2,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #120: exists( #39, #22 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V5), P_multiplication-{F}(V3,V5,V6) | P_domain_difference-{T}(V2,V4,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #123: exists( #36, #20 ), references = 3, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #125: exists( #40, #23 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V3,V5), P_domain-{F}(V5,V6) | P_forward_diamond-{T}(V4,V2,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #133: mergings( V2 == V3, V3 == V5, V4 == V6; #129 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V0) | P_codomain-{T}(V2,V1)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #136: exists( #35, #16 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #143: exists( #32, #10 ), references = 1, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #151: exists( #30, #0 ), references = 2, size of lhs = 1:
% 1.18/1.35 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #152: exists( #30, #8 ), references = 1, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V2,V5,V7), P_multiplication-{F}(V3,V5,V8) | P_addition-{T}(V7,V8,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #153: exists( #30, #7 ), references = 1, size of lhs = 6:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_multiplication-{F}(V5,V3,V8) | P_addition-{T}(V7,V8,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #158: exists( #35, #156 ), references = 2, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_domain-{F}(V1,V2), P_backward_diamond-{F}(V3,V2,V0), pppp0-{F}(V1,V3,V4) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #160: exists( #28, #157 ), references = 2, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), pppp1-{F}(V1,V2), P_domain-{F}(V2,V3), P_backward_diamond-{F}(V1,V3,V0) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #167: exists( #32, #9 ), references = 4, size of lhs = 3:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #168: exists( #32, #4 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #199: mergings( V2 == V4, V4 == V6, V3 == V5; #193 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_one-{F}(V0), P_zero-{F}(V1), P_codomain-{F}(V1,V1), pppp1-{F}(V1,V2), P_domain-{F}(V2,V3) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #203: mergings( V2 == V4, V4 == V6, V3 == V5; #194 ), references = 1, size of lhs = 5:
% 1.18/1.35 P_one-{F}(V0), P_zero-{F}(V1), P_codomain-{F}(V1,V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V1,V4) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #206: mergings( V2 == V4, V3 == V5; #195 ), references = 1, size of lhs = 7:
% 1.18/1.35 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V0,V2), P_addition-{F}(V2,V3,V3), P_domain-{F}(V4,V3), pppp0-{F}(V5,V0,V4), P_domain-{F}(V5,V6) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #213: mergings( V2 == V4, V4 == V6, V3 == V5; #207 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_one-{F}(V0), P_zero-{F}(V1), P_codomain-{F}(V1,V1), pppp1-{F}(V1,V2) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #217: mergings( V2 == V4, V4 == V6, V3 == V5; #208 ), references = 1, size of lhs = 4:
% 1.18/1.35 P_one-{F}(V0), P_zero-{F}(V1), P_codomain-{F}(V1,V1), pppp0-{F}(V2,V1,V3) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #223: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #218 ), references = 1, size of lhs = 3:
% 1.18/1.35 P_one-{F}(V0), P_zero-{F}(V1), P_codomain-{F}(V1,V1) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #235: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #228 ), references = 1, size of lhs = 1:
% 1.18/1.35 P_zero-{F}(V0) | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 #237: exists( #31, #228 ), references = 1, size of lhs = 0:
% 1.18/1.35 FALSE | FALSE
% 1.18/1.35 (used 0 times, uses = {})
% 1.18/1.35
% 1.18/1.35 number of learnt formulas = 38
% 1.18/1.35
% 1.18/1.35
% 1.18/1.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.18/1.35
% 1.18/1.35 randbase = 1
%------------------------------------------------------------------------------