TSTP Solution File: KLE114+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:07:07 EDT 2022
% Result : Theorem 0.77s 0.98s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n019.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 16:50:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.77/0.98 GeoParameters:
% 0.77/0.98
% 0.77/0.98 tptp_input = 1
% 0.77/0.98 tptp_output = 0
% 0.77/0.98 nonempty = 1
% 0.77/0.98 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.98 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.77/0.98
% 0.77/0.98
% 0.77/0.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.98
% 0.77/0.98 RuleSystem INPUT:
% 0.77/0.98
% 0.77/0.98 Initial Rules:
% 0.77/0.98 #0: input, references = 4, size of lhs = 3:
% 0.77/0.98 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #1: input, references = 4, size of lhs = 5:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #2: input, references = 4, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #3: input, references = 4, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #4: input, references = 4, size of lhs = 6:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #5: input, references = 4, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #6: input, references = 5, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #7: input, references = 3, size of lhs = 8:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #8: input, references = 4, size of lhs = 8:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #9: input, references = 4, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #10: input, references = 4, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #11: input, references = 3, size of lhs = 5:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #12: input, references = 3, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #13: input, references = 5, size of lhs = 5:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #14: input, references = 3, size of lhs = 10:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #15: input, references = 4, size of lhs = 6:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #16: input, references = 6, size of lhs = 6:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #17: input, references = 4, size of lhs = 5:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #18: input, references = 3, size of lhs = 10:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #19: input, references = 5, size of lhs = 6:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #20: input, references = 5, size of lhs = 6:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #21: input, references = 5, size of lhs = 6:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #22: input, references = 4, size of lhs = 7:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #23: input, references = 4, size of lhs = 7:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #24: input, references = 4, size of lhs = 7:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #25: input, references = 4, size of lhs = 7:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #26: input, references = 4, size of lhs = 7:
% 0.77/0.98 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
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #27: input, references = 4, size of lhs = 2:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #28: input, references = 4, size of lhs = 2:
% 0.77/0.98 pppp0-{F}(V0,V1), P_forward_box-{F}(V1,V0,V0) | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #29: input, references = 8, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #30: input, references = 4, size of lhs = 0:
% 0.77/0.98 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #31: input, references = 7, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #32: input, references = 4, size of lhs = 0:
% 0.77/0.98 FALSE | EXISTS V0: P_one-{T}(V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #33: input, references = 6, size of lhs = 1:
% 0.77/0.98 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #34: input, references = 5, size of lhs = 1:
% 0.77/0.98 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #35: input, references = 5, size of lhs = 1:
% 0.77/0.98 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #36: input, references = 5, size of lhs = 1:
% 0.77/0.98 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #37: input, references = 5, size of lhs = 1:
% 0.77/0.98 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #38: input, references = 4, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_domain_difference-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #39: input, references = 4, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_diamond-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #40: input, references = 4, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_diamond-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #41: input, references = 4, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_forward_box-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #42: input, references = 4, size of lhs = 2:
% 0.77/0.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_backward_box-{T}(V0,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 number of initial rules = 43
% 0.77/0.98
% 0.77/0.98 Simplifiers:
% 0.77/0.98 #43: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #44: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #45: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #46: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #47: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #48: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #49: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #50: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #51: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #52: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_domain_difference-{F}(V0,V1,V2), P_domain_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #53: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_forward_diamond-{F}(V0,V1,V2), P_forward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #54: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_backward_diamond-{F}(V0,V1,V2), P_backward_diamond-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #55: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_forward_box-{F}(V0,V1,V2), P_forward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #56: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 P_backward_box-{F}(V0,V1,V2), P_backward_box-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #57: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #58: unsound, references = 3, size of lhs = 3:
% 0.77/0.98 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 number of simplifiers = 16
% 0.77/0.98
% 0.77/0.98 Learnt:
% 0.77/0.98 #60: exists( #29, #19 ), references = 1, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #63: exists( #36, #20 ), references = 1, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #65: exists( #37, #21 ), references = 3, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_c-{T}(V2,V4)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #68: exists( #29, #2 ), references = 3, size of lhs = 2:
% 0.77/0.98 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #70: exists( #29, #3 ), references = 1, size of lhs = 2:
% 0.77/0.98 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #72: exists( #31, #17 ), references = 1, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #78: mergings( V2 == V4, V3 == V0; #75 ), references = 1, size of lhs = 2:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #80: exists( #42, #26 ), references = 1, size of lhs = 5:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #82: exists( #41, #25 ), references = 2, size of lhs = 5:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #84: exists( #40, #24 ), references = 1, size of lhs = 5:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #86: exists( #33, #21 ), references = 1, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_domain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #91: mergings( V2 == V4, V3 == V5; #88 ), references = 1, size of lhs = 5:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #96: exists( #31, #5 ), references = 2, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #97: exists( #31, #6 ), references = 1, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #102: mergings( V2 == V3, V0 == V4; #99 ), references = 1, size of lhs = 2:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #107: exists( #33, #16 ), references = 2, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #114: mergings( V2 == V3, V3 == V5, V4 == V6; #110 ), references = 1, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0), P_antidomain-{F}(V3,V0) | P_domain-{T}(V2,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #116: exists( #38, #22 ), references = 1, size of lhs = 5:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #119: exists( #35, #20 ), references = 2, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #121: exists( #39, #23 ), references = 2, size of lhs = 5:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #129: mergings( V2 == V3, V3 == V5, V4 == V6; #125 ), references = 1, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V0) | P_codomain-{T}(V2,V1)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #132: exists( #34, #16 ), references = 1, size of lhs = 4:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #137: exists( #31, #10 ), references = 1, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #138: exists( #31, #13 ), references = 1, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #140: exists( #29, #1 ), references = 1, size of lhs = 3:
% 0.77/0.98 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #143: exists( #29, #0 ), references = 1, size of lhs = 1:
% 0.77/0.98 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #144: exists( #29, #8 ), references = 1, size of lhs = 6:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #151: exists( #31, #9 ), references = 1, size of lhs = 3:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #152: exists( #31, #4 ), references = 1, size of lhs = 4:
% 0.77/0.98 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)
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #163: mergings( V0 == V3, V3 == V5, V5 == V7, V1 == V4, V4 == V6, V6 == V8; #156 ), references = 1, size of lhs = 6:
% 0.77/0.98 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_c-{F}(V2,V1), P_c-{F}(V1,V3), P_domain-{F}(V3,V0) | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #181: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #170 ), references = 1, size of lhs = 1:
% 0.77/0.98 P_zero-{F}(V0) | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 #183: exists( #30, #170 ), references = 1, size of lhs = 0:
% 0.77/0.98 FALSE | FALSE
% 0.77/0.98 (used 0 times, uses = {})
% 0.77/0.98
% 0.77/0.98 number of learnt formulas = 32
% 0.77/0.98
% 0.77/0.98
% 0.77/0.98 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.98
% 0.77/0.98 randbase = 1
%------------------------------------------------------------------------------