TSTP Solution File: SEU304+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:17:46 EDT 2022
% Result : Theorem 68.84s 69.03s
% Output : Refutation 68.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 19:09:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 68.84/69.03 GeoParameters:
% 68.84/69.03
% 68.84/69.03 tptp_input = 1
% 68.84/69.03 tptp_output = 0
% 68.84/69.03 nonempty = 1
% 68.84/69.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.84/69.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 68.84/69.03
% 68.84/69.03
% 68.84/69.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.84/69.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.84/69.03
% 68.84/69.03 RuleSystem INPUT:
% 68.84/69.03
% 68.84/69.03 Initial Rules:
% 68.84/69.03 #0: input, references = 5, size of lhs = 2:
% 68.84/69.03 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #1: input, references = 3, size of lhs = 1:
% 68.84/69.03 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #2: input, references = 3, size of lhs = 1:
% 68.84/69.03 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #3: input, references = 3, size of lhs = 2:
% 68.84/69.03 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #4: input, references = 5, size of lhs = 8:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), element-{F}(V2,V1), P_meet_commut-{F}(V0,V3,V2,V4), P_meet_commut-{F}(V0,V2,V3,V5), element-{F}(V3,V1), V4 == V5 | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #5: input, references = 5, size of lhs = 8:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), P_the_L_join-{F}(V0,V2), join_semilatt_str-{F}(V0), element-{F}(V3,V1), P_join-{F}(V0,V3,V4,V5), P_apply_binary_as_element-{F}(V1,V1,V1,V2,V3,V4,V6), element-{F}(V4,V1), V5 == V6 | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #6: input, references = 5, size of lhs = 8:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), P_the_L_meet-{F}(V0,V2), meet_semilatt_str-{F}(V0), element-{F}(V3,V1), P_meet-{F}(V0,V3,V4,V5), P_apply_binary_as_element-{F}(V1,V1,V1,V2,V3,V4,V6), element-{F}(V4,V1), V5 == V6 | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #7: input, references = 3, size of lhs = 7:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), join_semilatt_str-{F}(V0), element-{F}(V2,V1), P_join-{F}(V0,V2,V3,V4), element-{F}(V3,V1), below-{F}(V0,V2,V3), V4 == V3 | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #8: input, references = 5, size of lhs = 5:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), join_semilatt_str-{F}(V0), element-{F}(V2,V1), P_join-{F}(V0,V2,V3,V3), element-{F}(V3,V1) | empty_carrier-{T}(V0), below-{T}(V0,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #9: input, references = 4, size of lhs = 2:
% 68.84/69.03 latt_str-{F}(V0), meet_absorbing-{F}(V0) | empty_carrier-{T}(V0), pppp0-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #10: input, references = 3, size of lhs = 2:
% 68.84/69.03 latt_str-{F}(V0), pppp0-{F}(V0) | empty_carrier-{T}(V0), meet_absorbing-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #11: input, references = 4, size of lhs = 7:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), pppp0-{F}(V0), element-{F}(V2,V1), P_meet-{F}(V0,V2,V3,V4), P_join-{F}(V0,V4,V3,V5), element-{F}(V3,V1), V5 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #12: input, references = 4, size of lhs = 1:
% 68.84/69.03 P_the_carrier-{F}(V0,V1) | pppp0-{T}(V0), pppp16-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #13: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp16-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V2,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #14: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp2-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V1,V3,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #15: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp2-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #16: input, references = 3, size of lhs = 3:
% 68.84/69.03 pppp1-{F}(V0,V1,V2,V3), P_meet-{F}(V0,V1,V2,V4), P_join-{F}(V0,V4,V2,V2) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #17: input, references = 3, size of lhs = 3:
% 68.84/69.03 pppp1-{F}(V0,V1,V2,V3), P_meet-{F}(V0,V1,V2,V4), P_join-{F}(V0,V4,V2,V5) | element-{T}(V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #18: input, references = 6, size of lhs = 5:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), join_semilatt_str-{F}(V0), element-{F}(V2,V1), P_join-{F}(V0,V3,V2,V4), element-{F}(V3,V1) | empty_carrier-{T}(V0), element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #19: input, references = 4, size of lhs = 7:
% 68.84/69.03 function-{F}(V0), P_cartesian_product2-{F}(V2,V1,V3), quasi_total-{F}(V0,V3,V4), relation_of2-{F}(V0,V3,V4), element-{F}(V5,V1), P_apply_binary_as_element-{F}(V2,V1,V4,V0,V6,V5,V7), element-{F}(V6,V2) | empty-{T}(V1), empty-{T}(V2), element-{T}(V7,V4)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #20: input, references = 4, size of lhs = 5:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), meet_semilatt_str-{F}(V0), element-{F}(V2,V1), P_meet-{F}(V0,V3,V2,V4), element-{F}(V3,V1) | empty_carrier-{T}(V0), element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #21: input, references = 3, size of lhs = 6:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), element-{F}(V2,V1), P_meet_commut-{F}(V0,V3,V2,V4), element-{F}(V3,V1) | empty_carrier-{T}(V0), element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #22: input, references = 3, size of lhs = 1:
% 68.84/69.03 meet_semilatt_str-{F}(V0) | one_sorted_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #23: input, references = 3, size of lhs = 1:
% 68.84/69.03 join_semilatt_str-{F}(V0) | one_sorted_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #24: input, references = 4, size of lhs = 1:
% 68.84/69.03 latt_str-{F}(V0) | meet_semilatt_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #25: input, references = 4, size of lhs = 1:
% 68.84/69.03 latt_str-{F}(V0) | join_semilatt_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #26: input, references = 4, size of lhs = 3:
% 68.84/69.03 P_cartesian_product2-{F}(V0,V1,V3), P_powerset-{F}(V3,V4), relation_of2_as_subset-{F}(V2,V0,V1) | element-{T}(V2,V4)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #27: input, references = 3, size of lhs = 4:
% 68.84/69.03 P_the_L_meet-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_cartesian_product2-{F}(V2,V2,V3), meet_semilatt_str-{F}(V0) | function-{T}(V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #28: input, references = 6, size of lhs = 4:
% 68.84/69.03 P_the_L_meet-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_cartesian_product2-{F}(V2,V2,V3), meet_semilatt_str-{F}(V0) | quasi_total-{T}(V1,V3,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #29: input, references = 6, size of lhs = 4:
% 68.84/69.03 P_the_L_meet-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_cartesian_product2-{F}(V2,V2,V3), meet_semilatt_str-{F}(V0) | relation_of2_as_subset-{T}(V1,V3,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #30: input, references = 6, size of lhs = 4:
% 68.84/69.03 P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_cartesian_product2-{F}(V2,V2,V3), join_semilatt_str-{F}(V0) | function-{T}(V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #31: input, references = 6, size of lhs = 4:
% 68.84/69.03 P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_cartesian_product2-{F}(V2,V2,V3), join_semilatt_str-{F}(V0) | quasi_total-{T}(V1,V3,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #32: input, references = 6, size of lhs = 4:
% 68.84/69.03 P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_cartesian_product2-{F}(V2,V2,V3), join_semilatt_str-{F}(V0) | relation_of2_as_subset-{T}(V1,V3,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #33: input, references = 3, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: pppp3-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #34: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp3-{F}(V0) | meet_semilatt_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #35: input, references = 3, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: pppp4-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #36: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp4-{F}(V0) | one_sorted_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #37: input, references = 3, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: pppp5-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #38: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp5-{F}(V0) | join_semilatt_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #39: input, references = 3, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: pppp6-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #40: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp6-{F}(V0) | latt_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #41: input, references = 3, size of lhs = 2:
% 68.84/69.03 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #42: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp7-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #43: input, references = 5, size of lhs = 1:
% 68.84/69.03 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #44: input, references = 5, size of lhs = 1:
% 68.84/69.03 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #45: input, references = 3, size of lhs = 2:
% 68.84/69.03 #-{F} V0, #-{F} V1 | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #46: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp9-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #47: input, references = 6, size of lhs = 2:
% 68.84/69.03 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #48: input, references = 3, size of lhs = 1:
% 68.84/69.03 P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #49: input, references = 3, size of lhs = 1:
% 68.84/69.03 P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #50: input, references = 3, size of lhs = 1:
% 68.84/69.03 P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #51: input, references = 3, size of lhs = 3:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #52: input, references = 3, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: pppp10-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #53: input, references = 8, size of lhs = 2:
% 68.84/69.03 pppp10-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #54: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp10-{F}(V0) | one_sorted_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #55: input, references = 4, size of lhs = 3:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), one_sorted_str-{F}(V0) | empty_carrier-{T}(V0), pppp17-{T}(V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #56: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #57: input, references = 3, size of lhs = 2:
% 68.84/69.03 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #58: input, references = 3, size of lhs = 1:
% 68.84/69.03 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #59: input, references = 4, size of lhs = 9:
% 68.84/69.03 function-{F}(V0), P_cartesian_product2-{F}(V2,V1,V3), quasi_total-{F}(V0,V3,V4), relation_of2-{F}(V0,V3,V4), element-{F}(V5,V1), P_apply_binary_as_element-{F}(V2,V1,V4,V0,V6,V5,V7), P_apply_binary-{F}(V0,V6,V5,V8), element-{F}(V6,V2), V7 == V8 | empty-{T}(V1), empty-{T}(V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #60: input, references = 5, size of lhs = 8:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), element-{F}(V2,V1), P_meet_commut-{F}(V0,V3,V2,V4), P_meet-{F}(V0,V3,V2,V5), element-{F}(V3,V1), V4 == V5 | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #61: input, references = 9, size of lhs = 1:
% 68.84/69.03 relation_of2_as_subset-{F}(V2,V0,V1) | relation_of2-{T}(V2,V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #62: input, references = 3, size of lhs = 1:
% 68.84/69.03 relation_of2-{F}(V2,V0,V1) | relation_of2_as_subset-{T}(V2,V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #63: input, references = 3, size of lhs = 1:
% 68.84/69.03 #-{F} V0 | subset-{T}(V0,V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #64: input, references = 3, size of lhs = 1:
% 68.84/69.03 in-{F}(V0,V1) | element-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #65: input, references = 4, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: pppp15-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #66: input, references = 5, size of lhs = 2:
% 68.84/69.03 pppp15-{F}(V0), P_the_carrier-{F}(V0,V1) | pppp14-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #67: input, references = 5, size of lhs = 1:
% 68.84/69.03 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #68: input, references = 5, size of lhs = 1:
% 68.84/69.03 pppp14-{F}(V0,V1) | latt_str-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #69: input, references = 4, size of lhs = 1:
% 68.84/69.03 pppp14-{F}(V0,V1) | meet_absorbing-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #70: input, references = 4, size of lhs = 1:
% 68.84/69.03 pppp14-{F}(V0,V1) | meet_commutative-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #71: input, references = 8, size of lhs = 2:
% 68.84/69.03 pppp14-{F}(V0,V1), empty_carrier-{F}(V0) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #72: input, references = 5, size of lhs = 1:
% 68.84/69.03 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V1,V3,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #73: input, references = 5, size of lhs = 1:
% 68.84/69.03 pppp13-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #74: input, references = 3, size of lhs = 3:
% 68.84/69.03 pppp12-{F}(V0,V1,V2,V3), P_meet_commut-{F}(V0,V1,V2,V4), below-{F}(V0,V4,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #75: input, references = 9, size of lhs = 2:
% 68.84/69.03 pppp12-{F}(V0,V1,V2,V3), P_meet_commut-{F}(V0,V1,V2,V4) | element-{T}(V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #76: input, references = 5, size of lhs = 1:
% 68.84/69.03 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #77: input, references = 3, size of lhs = 2:
% 68.84/69.03 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #78: input, references = 3, size of lhs = 2:
% 68.84/69.03 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #79: input, references = 4, size of lhs = 3:
% 68.84/69.03 P_powerset-{F}(V1,V2), element-{F}(V0,V2), in-{F}(V3,V0) | element-{T}(V3,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #80: input, references = 6, size of lhs = 4:
% 68.84/69.03 P_powerset-{F}(V0,V1), empty-{F}(V0), element-{F}(V2,V1), in-{F}(V3,V2) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #81: input, references = 6, size of lhs = 3:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #82: input, references = 5, size of lhs = 3:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #83: input, references = 3, size of lhs = 4:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #84: input, references = 5, size of lhs = 1:
% 68.84/69.03 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #85: input, references = 8, size of lhs = 3:
% 68.84/69.03 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_meet_commut-{T}(V0,V1,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #86: input, references = 4, size of lhs = 3:
% 68.84/69.03 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_join-{T}(V0,V1,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #87: input, references = 7, size of lhs = 6:
% 68.84/69.03 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_apply_binary_as_element-{T}(V0,V1,V2,V3,V4,V5,V6)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #88: input, references = 3, size of lhs = 1:
% 68.84/69.03 #-{F} V0 | EXISTS V1: P_the_L_join-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #89: input, references = 5, size of lhs = 3:
% 68.84/69.03 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_meet-{T}(V0,V1,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #90: input, references = 3, size of lhs = 1:
% 68.84/69.03 #-{F} V0 | EXISTS V1: P_the_L_meet-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #91: input, references = 5, size of lhs = 2:
% 68.84/69.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #92: input, references = 4, size of lhs = 1:
% 68.84/69.03 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #93: input, references = 5, size of lhs = 3:
% 68.84/69.03 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_apply_binary-{T}(V0,V1,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #94: input, references = 3, size of lhs = 0:
% 68.84/69.03 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 number of initial rules = 95
% 68.84/69.03
% 68.84/69.03 Simplifiers:
% 68.84/69.03 #95: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 meet_commutative-{F}(V0), meet_commutative-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #96: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 quasi_total-{F}(V0,V1,V2), quasi_total-{F}(V3,V4,V2), V1 == V4 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #97: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #98: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_meet_commut-{F}(V0,V1,V2,V3), P_meet_commut-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #99: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_join-{F}(V0,V1,V2,V3), P_join-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #100: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_apply_binary_as_element-{F}(V0,V1,V2,V3,V4,V5,V6), P_apply_binary_as_element-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #101: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_the_L_join-{F}(V0,V1), P_the_L_join-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #102: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_meet-{F}(V0,V1,V2,V3), P_meet-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #103: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_the_L_meet-{F}(V0,V1), P_the_L_meet-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #104: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #105: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #106: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_apply_binary-{F}(V0,V1,V2,V3), P_apply_binary-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #107: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #108: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #109: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #110: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #111: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V2), V1 == V4 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #112: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V2 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #113: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #114: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #115: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #116: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #117: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #118: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #119: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #120: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #121: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #122: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #123: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #124: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #125: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #126: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #127: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V0 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #128: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #129: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V0 == V2 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #130: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #131: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #132: unsound, references = 3, size of lhs = 3:
% 68.84/69.03 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 number of simplifiers = 38
% 68.84/69.03
% 68.84/69.03 Learnt:
% 68.84/69.03 #137: exists( #89, #133 ), references = 6, size of lhs = 7:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet_commut-{F}(V0,V3,V2,V4), pppp14-{F}(V0,V5) | P_meet-{T}(V0,V3,V2,V4)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #138: exists( #89, #134 ), references = 1, size of lhs = 7:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet_commut-{F}(V0,V3,V2,V4) | P_meet-{T}(V0,V3,V2,V4)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #142: disj( #76, input ), references = 1, size of lhs = 2:
% 68.84/69.03 element-{F}(V0,V1), P_powerset-{F}(V2,V1) | in-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #143: disj( #76, input ), references = 4, size of lhs = 3:
% 68.84/69.03 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #144: disj( #76, input ), references = 2, size of lhs = 4:
% 68.84/69.03 element-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V3) | in-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #155: disj( #76, input ), references = 1, size of lhs = 2:
% 68.84/69.03 element-{F}(V0,V1), in-{F}(V1,V0) | empty-{T}(V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #173: disj( #18, input ), references = 1, size of lhs = 8:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_join-{F}(V0,V3,V2,V4), empty-{F}(V5), P_powerset-{F}(V5,V1), in-{F}(V6,V4) | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #196: mergings( V1 == V2; #194 ), references = 1, size of lhs = 6:
% 68.84/69.03 P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet-{F}(V0,V2,V3,V4), P_join-{F}(V0,V4,V3,V5), V5 == V3 | pppp16-{T}(V0,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #202: exists( #43, #200 ), references = 4, size of lhs = 5:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #205: exists( #43, #203 ), references = 1, size of lhs = 3:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #214: exists( #67, #212 ), references = 1, size of lhs = 4:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp14-{F}(V3,V2) | pppp13-{T}(V3,V0,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #244: exists( #85, #240 ), references = 1, size of lhs = 4:
% 68.84/69.03 empty-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V2,V3), pppp12-{F}(V4,V5,V3,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #245: exists( #85, #241 ), references = 1, size of lhs = 5:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp12-{F}(V3,V4,V5,V2), V5 == V0 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #247: exists( #72, #243 ), references = 1, size of lhs = 4:
% 68.84/69.03 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3,V4,V2) | pppp12-{T}(V3,V4,V0,V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #256: disj( #9, input ), references = 2, size of lhs = 3:
% 68.84/69.03 latt_str-{F}(V0), meet_absorbing-{F}(V0), pppp14-{F}(V0,V1) | pppp0-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #257: disj( #9, input ), references = 1, size of lhs = 3:
% 68.84/69.03 latt_str-{F}(V0), meet_absorbing-{F}(V0), pppp10-{F}(V0) | pppp0-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #267: exists( #86, #11 ), references = 3, size of lhs = 5:
% 68.84/69.03 pppp0-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet-{F}(V0,V2,V3,V4) | P_join-{T}(V0,V4,V3,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #283: exists( #87, #279 ), references = 1, size of lhs = 7:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_join-{F}(V0,V2), element-{F}(V3,V1), element-{F}(V4,V1), P_join-{F}(V0,V3,V4,V5), pppp14-{F}(V0,V6) | P_apply_binary_as_element-{T}(V1,V1,V1,V2,V3,V4,V5)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #284: exists( #87, #280 ), references = 1, size of lhs = 7:
% 68.84/69.03 join_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_join-{F}(V0,V2), element-{F}(V3,V1), element-{F}(V4,V1), P_join-{F}(V0,V3,V4,V5) | P_apply_binary_as_element-{T}(V1,V1,V1,V2,V3,V4,V5)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #300: exists( #87, #296 ), references = 1, size of lhs = 7:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_meet-{F}(V0,V2), element-{F}(V3,V1), element-{F}(V4,V1), P_meet-{F}(V0,V3,V4,V5), pppp14-{F}(V0,V6) | P_apply_binary_as_element-{T}(V1,V1,V1,V2,V3,V4,V5)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #301: exists( #87, #297 ), references = 4, size of lhs = 7:
% 68.84/69.03 meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_meet-{F}(V0,V2), element-{F}(V3,V1), element-{F}(V4,V1), P_meet-{F}(V0,V3,V4,V5) | P_apply_binary_as_element-{T}(V1,V1,V1,V2,V3,V4,V5)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #321: disj( #20, input ), references = 3, size of lhs = 6:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet-{F}(V0,V3,V2,V4), pppp14-{F}(V0,V5) | element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #322: disj( #20, input ), references = 1, size of lhs = 6:
% 68.84/69.03 meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet-{F}(V0,V3,V2,V4) | element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #332: mergings( V4 == V6, V5 == V7, V2 == V8, V1 == V8; #327 ), references = 1, size of lhs = 8:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), pppp14-{F}(V0,V2), P_empty_set-{F}(V3), element-{F}(V3,V1), empty-{F}(V4), P_powerset-{F}(V4,V1) | P_meet_commut-{T}(V0,V3,V3,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #344: disj( #8, input ), references = 3, size of lhs = 7:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), P_join-{F}(V0,V2,V3,V3), element-{F}(V3,V1), P_meet_commut-{F}(V0,V3,V4,V2), pppp12-{F}(V0,V3,V4,V5) | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #386: exists( #85, #382 ), references = 3, size of lhs = 7:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet_commut-{F}(V0,V2,V3,V4), pppp14-{F}(V0,V5) | P_meet_commut-{T}(V0,V3,V2,V4)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #387: exists( #85, #383 ), references = 1, size of lhs = 7:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_meet_commut-{F}(V0,V2,V3,V4) | P_meet_commut-{T}(V0,V3,V2,V4)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #403: disj( #8, input ), references = 1, size of lhs = 6:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), P_join-{F}(V0,V2,V3,V3), element-{F}(V3,V1), pppp14-{F}(V0,V4) | below-{T}(V0,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #404: disj( #8, input ), references = 1, size of lhs = 6:
% 68.84/69.03 join_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), P_join-{F}(V0,V2,V3,V3), element-{F}(V3,V1) | below-{T}(V0,V2,V3)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #435: disj( #18, input ), references = 1, size of lhs = 11:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_join-{F}(V0,V3,V2,V4), pppp0-{F}(V5), P_the_carrier-{F}(V5,V1), element-{F}(V6,V1), P_meet-{F}(V5,V6,V4,V7), P_join-{F}(V5,V7,V4,V8), V8 == V4 | empty_carrier-{T}(V0)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #440: disj( #18, input ), references = 1, size of lhs = 6:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_join-{F}(V0,V3,V2,V4), pppp14-{F}(V0,V5) | element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #441: disj( #18, input ), references = 1, size of lhs = 6:
% 68.84/69.03 join_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_join-{F}(V0,V3,V2,V4) | element-{T}(V4,V1)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #477: disj( #55, input ), references = 1, size of lhs = 4:
% 68.84/69.03 one_sorted_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp17-{T}(V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #478: disj( #55, input ), references = 1, size of lhs = 4:
% 68.84/69.03 one_sorted_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp14-{F}(V0,V3) | pppp17-{T}(V2)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #520: disj( #59, input ), references = 7, size of lhs = 10:
% 68.84/69.03 function-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), P_apply_binary-{F}(V0,V4,V1,V5), element-{F}(V4,V6), P_cartesian_product2-{F}(V6,V2,V7), quasi_total-{F}(V0,V7,V8), relation_of2-{F}(V0,V7,V8), P_apply_binary_as_element-{F}(V6,V2,V8,V0,V4,V1,V9), V9 == V5 | empty-{T}(V6)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #521: disj( #59, input ), references = 1, size of lhs = 11:
% 68.84/69.03 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), V3 == V1, P_apply_binary-{F}(V0,V4,V2,V5), element-{F}(V4,V6), P_cartesian_product2-{F}(V6,V3,V7), quasi_total-{F}(V0,V7,V8), relation_of2-{F}(V0,V7,V8), P_apply_binary_as_element-{F}(V6,V3,V8,V0,V4,V2,V9), V9 == V5 | empty-{T}(V6)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #522: disj( #59, input ), references = 1, size of lhs = 11:
% 68.84/69.03 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), in-{F}(V4,V3), P_apply_binary-{F}(V0,V5,V2,V6), element-{F}(V5,V7), P_cartesian_product2-{F}(V7,V3,V8), quasi_total-{F}(V0,V8,V9), relation_of2-{F}(V0,V8,V9), P_apply_binary_as_element-{F}(V7,V3,V9,V0,V5,V2,V10), V10 == V6 | empty-{T}(V7)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #541: exists( #91, #535 ), references = 2, size of lhs = 16:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary-{F}(V1,V7,V5,V8), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V7,V5,V9), V9 == V8, P_powerset-{F}(V10,V2) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #542: exists( #91, #536 ), references = 2, size of lhs = 17:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), P_empty_set-{F}(V5), V2 == V5, element-{F}(V6,V2), P_powerset-{F}(V7,V2), element-{F}(V8,V2), P_apply_binary-{F}(V1,V8,V6,V9), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V8,V6,V10), V10 == V9 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #543: exists( #91, #537 ), references = 2, size of lhs = 17:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), P_empty_set-{F}(V5), element-{F}(V6,V2), P_powerset-{F}(V7,V2), element-{F}(V8,V2), P_apply_binary-{F}(V1,V8,V6,V9), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V8,V6,V10), V10 == V9, in-{F}(V11,V2) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #547: exists( #93, #538 ), references = 1, size of lhs = 14:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V7,V5,V8), P_powerset-{F}(V9,V2) | P_apply_binary-{T}(V1,V7,V5,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #548: exists( #93, #539 ), references = 1, size of lhs = 15:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), P_empty_set-{F}(V5), V2 == V5, element-{F}(V6,V2), P_powerset-{F}(V7,V2), element-{F}(V8,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V8,V6,V9) | P_apply_binary-{T}(V1,V8,V6,V9)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #549: exists( #93, #540 ), references = 1, size of lhs = 15:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), P_empty_set-{F}(V5), element-{F}(V6,V2), P_powerset-{F}(V7,V2), element-{F}(V8,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V8,V6,V9), in-{F}(V10,V2) | P_apply_binary-{T}(V1,V8,V6,V9)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #571: exists( #91, #565 ), references = 2, size of lhs = 14:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_L_meet-{F}(V0,V1), function-{F}(V1), P_the_carrier-{F}(V0,V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V1), P_the_carrier-{F}(V3,V2), element-{F}(V4,V2), P_powerset-{F}(V5,V2), element-{F}(V6,V2), P_apply_binary-{F}(V1,V6,V4,V7), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V6,V4,V8), V8 == V7, P_powerset-{F}(V9,V2) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #572: exists( #91, #566 ), references = 2, size of lhs = 15:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_L_meet-{F}(V0,V1), function-{F}(V1), P_the_carrier-{F}(V0,V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V1), P_the_carrier-{F}(V3,V2), P_empty_set-{F}(V4), V2 == V4, element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary-{F}(V1,V7,V5,V8), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V7,V5,V9), V9 == V8 | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #573: exists( #91, #567 ), references = 2, size of lhs = 15:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_L_meet-{F}(V0,V1), function-{F}(V1), P_the_carrier-{F}(V0,V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V1), P_the_carrier-{F}(V3,V2), P_empty_set-{F}(V4), element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary-{F}(V1,V7,V5,V8), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V7,V5,V9), V9 == V8, in-{F}(V10,V2) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #577: exists( #93, #568 ), references = 1, size of lhs = 12:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_L_meet-{F}(V0,V1), function-{F}(V1), P_the_carrier-{F}(V0,V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V1), P_the_carrier-{F}(V3,V2), element-{F}(V4,V2), P_powerset-{F}(V5,V2), element-{F}(V6,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V6,V4,V7), P_powerset-{F}(V8,V2) | P_apply_binary-{T}(V1,V6,V4,V7)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #578: exists( #93, #569 ), references = 1, size of lhs = 13:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_L_meet-{F}(V0,V1), function-{F}(V1), P_the_carrier-{F}(V0,V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V1), P_the_carrier-{F}(V3,V2), P_empty_set-{F}(V4), V2 == V4, element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V7,V5,V8) | P_apply_binary-{T}(V1,V7,V5,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #579: exists( #93, #570 ), references = 1, size of lhs = 13:
% 68.84/69.03 meet_semilatt_str-{F}(V0), P_the_L_meet-{F}(V0,V1), function-{F}(V1), P_the_carrier-{F}(V0,V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V1), P_the_carrier-{F}(V3,V2), P_empty_set-{F}(V4), element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V7,V5,V8), in-{F}(V9,V2) | P_apply_binary-{T}(V1,V7,V5,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #615: exists( #87, #541 ), references = 1, size of lhs = 14:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), element-{F}(V5,V2), P_powerset-{F}(V6,V2), element-{F}(V7,V2), P_apply_binary-{F}(V1,V7,V5,V8), P_powerset-{F}(V9,V2) | P_apply_binary_as_element-{T}(V2,V2,V2,V1,V7,V5,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #616: exists( #87, #542 ), references = 1, size of lhs = 15:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), P_empty_set-{F}(V5), V2 == V5, element-{F}(V6,V2), P_powerset-{F}(V7,V2), element-{F}(V8,V2), P_apply_binary-{F}(V1,V8,V6,V9) | P_apply_binary_as_element-{T}(V2,V2,V2,V1,V8,V6,V9)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #617: exists( #87, #543 ), references = 1, size of lhs = 15:
% 68.84/69.03 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), join_semilatt_str-{F}(V3), P_the_L_join-{F}(V3,V1), P_the_carrier-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), P_empty_set-{F}(V5), element-{F}(V6,V2), P_powerset-{F}(V7,V2), element-{F}(V8,V2), P_apply_binary-{F}(V1,V8,V6,V9), in-{F}(V10,V2) | P_apply_binary_as_element-{T}(V2,V2,V2,V1,V8,V6,V9)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #689: exists( #92, #687 ), references = 2, size of lhs = 5:
% 68.84/69.03 in-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V2), relation_of2_as_subset-{F}(V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V3) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #757: exists( #85, #753 ), references = 1, size of lhs = 7:
% 68.84/69.03 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), V3 == V0, relation_of2_as_subset-{F}(V2,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), pppp12-{F}(V7,V8,V6,V3) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #758: exists( #85, #754 ), references = 1, size of lhs = 4:
% 68.84/69.03 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, pppp12-{F}(V3,V4,V2,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #788: exists( #87, #782 ), references = 1, size of lhs = 9:
% 68.84/69.03 function-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), P_apply_binary-{F}(V0,V4,V1,V5), element-{F}(V4,V6), P_cartesian_product2-{F}(V6,V2,V7), quasi_total-{F}(V0,V7,V8), relation_of2-{F}(V0,V7,V8), P_powerset-{F}(V9,V6) | P_apply_binary_as_element-{T}(V6,V2,V8,V0,V4,V1,V5)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #789: exists( #87, #783 ), references = 1, size of lhs = 11:
% 68.84/69.03 function-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), P_apply_binary-{F}(V0,V4,V1,V5), element-{F}(V4,V6), P_cartesian_product2-{F}(V6,V2,V7), quasi_total-{F}(V0,V7,V8), relation_of2-{F}(V0,V7,V8), P_powerset-{F}(V6,V9), element-{F}(V10,V9), in-{F}(V11,V10) | P_apply_binary_as_element-{T}(V6,V2,V8,V0,V4,V1,V5)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #790: exists( #87, #784 ), references = 1, size of lhs = 10:
% 68.84/69.03 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), P_powerset-{F}(V4,V3), P_apply_binary-{F}(V0,V5,V2,V6), element-{F}(V5,V7), V7 == V1, P_cartesian_product2-{F}(V7,V3,V8), quasi_total-{F}(V0,V8,V9), relation_of2-{F}(V0,V8,V9) | P_apply_binary_as_element-{T}(V7,V3,V9,V0,V5,V2,V6)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #846: disj( #19, input, input ), references = 1, size of lhs = 9:
% 68.84/69.03 function-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), element-{F}(V4,V5), P_cartesian_product2-{F}(V5,V2,V6), quasi_total-{F}(V0,V6,V7), relation_of2-{F}(V0,V6,V7), P_apply_binary_as_element-{F}(V5,V2,V7,V0,V4,V1,V8), P_powerset-{F}(V9,V5) | element-{T}(V8,V7)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #847: disj( #19, input, input ), references = 1, size of lhs = 10:
% 68.84/69.03 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), P_powerset-{F}(V4,V3), element-{F}(V5,V6), V6 == V1, P_cartesian_product2-{F}(V6,V3,V7), quasi_total-{F}(V0,V7,V8), relation_of2-{F}(V0,V7,V8), P_apply_binary_as_element-{F}(V6,V3,V8,V0,V5,V2,V9) | element-{T}(V9,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #848: disj( #19, input, input ), references = 1, size of lhs = 10:
% 68.84/69.03 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), P_powerset-{F}(V4,V3), element-{F}(V5,V6), P_cartesian_product2-{F}(V6,V3,V7), quasi_total-{F}(V0,V7,V8), relation_of2-{F}(V0,V7,V8), P_apply_binary_as_element-{F}(V6,V3,V8,V0,V5,V2,V9), in-{F}(V10,V6) | element-{T}(V9,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #957: mergings( V5 == V10, V4 == V6, V6 == V7, V7 == V8, V8 == V9; #950 ), references = 1, size of lhs = 8:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp0-{F}(V0), join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), pppp14-{F}(V0,V3), pppp12-{F}(V0,V2,V4,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #962: mergings( V5 == V9, V4 == V6, V6 == V7, V7 == V8; #951 ), references = 1, size of lhs = 9:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp0-{F}(V0), join_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), pppp14-{F}(V0,V2), element-{F}(V3,V1), pppp12-{F}(V0,V3,V4,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #969: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #963 ), references = 2, size of lhs = 8:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp0-{F}(V0), join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), pppp13-{F}(V0,V2,V1), element-{F}(V2,V1), pppp14-{F}(V0,V3) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #973: mergings( V4 == V5, V5 == V6, V6 == V7; #964 ), references = 1, size of lhs = 9:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp0-{F}(V0), join_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), pppp13-{F}(V0,V2,V1), element-{F}(V2,V1), pppp14-{F}(V0,V3) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #979: mergings( V1 == V3; #976 ), references = 1, size of lhs = 6:
% 68.84/69.03 meet_commutative-{F}(V0), meet_semilatt_str-{F}(V0), pppp0-{F}(V0), join_semilatt_str-{F}(V0), P_the_carrier-{F}(V0,V1), pppp14-{F}(V0,V1) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #994: exists( #84, #990 ), references = 2, size of lhs = 2:
% 68.84/69.03 pppp15-{F}(V0), meet_semilatt_str-{F}(V0) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #1011: exists( #89, #1005 ), references = 1, size of lhs = 16:
% 68.84/69.03 meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_meet-{F}(V0,V2), function-{F}(V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V2), P_the_carrier-{F}(V3,V1), meet_semilatt_str-{F}(V4), P_the_L_meet-{F}(V4,V2), P_the_carrier-{F}(V4,V1), element-{F}(V5,V1), P_powerset-{F}(V6,V1), element-{F}(V7,V1), P_apply_binary-{F}(V2,V7,V5,V8), P_powerset-{F}(V9,V1) | P_meet-{T}(V0,V7,V5,V8)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #1012: exists( #89, #1007 ), references = 1, size of lhs = 17:
% 68.84/69.03 meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_meet-{F}(V0,V2), function-{F}(V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V2), P_the_carrier-{F}(V3,V1), meet_semilatt_str-{F}(V4), P_the_L_meet-{F}(V4,V2), P_the_carrier-{F}(V4,V1), P_empty_set-{F}(V5), element-{F}(V6,V1), P_powerset-{F}(V7,V1), element-{F}(V8,V1), P_apply_binary-{F}(V2,V8,V6,V9), in-{F}(V10,V1) | P_meet-{T}(V0,V8,V6,V9)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #1013: exists( #89, #1006 ), references = 1, size of lhs = 17:
% 68.84/69.03 meet_semilatt_str-{F}(V0), pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_L_meet-{F}(V0,V2), function-{F}(V2), meet_semilatt_str-{F}(V3), P_the_L_meet-{F}(V3,V2), P_the_carrier-{F}(V3,V1), meet_semilatt_str-{F}(V4), P_the_L_meet-{F}(V4,V2), P_the_carrier-{F}(V4,V1), P_empty_set-{F}(V5), V1 == V5, element-{F}(V6,V1), P_powerset-{F}(V7,V1), element-{F}(V8,V1), P_apply_binary-{F}(V2,V8,V6,V9) | P_meet-{T}(V0,V8,V6,V9)
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #1026: exists( #84, #1022 ), references = 1, size of lhs = 1:
% 68.84/69.03 pppp15-{F}(V0) | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 #1029: exists( #65, #1024 ), references = 1, size of lhs = 0:
% 68.84/69.03 FALSE | FALSE
% 68.84/69.03 (used 0 times, uses = {})
% 68.84/69.03
% 68.84/69.03 number of learnt formulas = 72
% 68.84/69.03
% 68.84/69.03
% 68.84/69.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.84/69.03
% 68.84/69.03 randbase = 1
%------------------------------------------------------------------------------