TSTP Solution File: SEU305+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 254.69s 254.92s
% Output : Refutation 254.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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 18:47:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 254.69/254.92 GeoParameters:
% 254.69/254.92
% 254.69/254.92 tptp_input = 1
% 254.69/254.92 tptp_output = 0
% 254.69/254.92 nonempty = 1
% 254.69/254.92 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.69/254.92 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 254.69/254.92
% 254.69/254.92
% 254.69/254.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.69/254.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.69/254.92
% 254.69/254.92 RuleSystem INPUT:
% 254.69/254.92
% 254.69/254.92 Initial Rules:
% 254.69/254.92 #0: input, references = 7, size of lhs = 2:
% 254.69/254.92 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1: input, references = 3, size of lhs = 1:
% 254.69/254.92 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #2: input, references = 3, size of lhs = 1:
% 254.69/254.92 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #3: input, references = 3, size of lhs = 2:
% 254.69/254.92 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #4: input, references = 4, size of lhs = 8:
% 254.69/254.92 P_the_carrier-{F}(V0,V1), join_commutative-{F}(V0), join_semilatt_str-{F}(V0), element-{F}(V2,V1), P_join_commut-{F}(V0,V3,V2,V4), P_join_commut-{F}(V0,V2,V3,V5), element-{F}(V3,V1), V4 == V5 | empty_carrier-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #5: input, references = 4, size of lhs = 8:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #6: input, references = 7, size of lhs = 7:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #7: input, references = 3, size of lhs = 5:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #8: input, references = 3, size of lhs = 5:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #9: input, references = 4, size of lhs = 7:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #10: input, references = 3, size of lhs = 6:
% 254.69/254.92 P_the_carrier-{F}(V0,V1), join_commutative-{F}(V0), join_semilatt_str-{F}(V0), element-{F}(V2,V1), P_join_commut-{F}(V0,V3,V2,V4), element-{F}(V3,V1) | empty_carrier-{T}(V0), element-{T}(V4,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #11: input, references = 4, size of lhs = 1:
% 254.69/254.92 join_semilatt_str-{F}(V0) | one_sorted_str-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #12: input, references = 10, size of lhs = 3:
% 254.69/254.92 P_cartesian_product2-{F}(V0,V1,V3), P_powerset-{F}(V3,V4), relation_of2_as_subset-{F}(V2,V0,V1) | element-{T}(V2,V4)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #13: input, references = 5, size of lhs = 4:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #14: input, references = 5, size of lhs = 4:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #15: input, references = 5, size of lhs = 4:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #16: input, references = 3, size of lhs = 0:
% 254.69/254.92 FALSE | EXISTS V0: pppp0-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #17: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp0-{F}(V0) | one_sorted_str-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #18: input, references = 3, size of lhs = 0:
% 254.69/254.92 FALSE | EXISTS V0: pppp1-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #19: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp1-{F}(V0) | join_semilatt_str-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #20: input, references = 3, size of lhs = 2:
% 254.69/254.92 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #21: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp2-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #22: input, references = 7, size of lhs = 1:
% 254.69/254.92 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #23: input, references = 11, size of lhs = 1:
% 254.69/254.92 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #24: input, references = 3, size of lhs = 2:
% 254.69/254.92 #-{F} V0, #-{F} V1 | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #25: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp4-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #26: input, references = 3, size of lhs = 2:
% 254.69/254.92 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #27: input, references = 3, size of lhs = 1:
% 254.69/254.92 P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #28: input, references = 3, size of lhs = 1:
% 254.69/254.92 P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #29: input, references = 3, size of lhs = 1:
% 254.69/254.92 P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #30: input, references = 4, size of lhs = 3:
% 254.69/254.92 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #31: input, references = 3, size of lhs = 0:
% 254.69/254.92 FALSE | EXISTS V0: pppp5-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #32: input, references = 3, size of lhs = 2:
% 254.69/254.92 pppp5-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #33: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp5-{F}(V0) | one_sorted_str-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #34: input, references = 5, size of lhs = 3:
% 254.69/254.92 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), one_sorted_str-{F}(V0) | empty_carrier-{T}(V0), pppp10-{T}(V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #35: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp10-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #36: input, references = 3, size of lhs = 2:
% 254.69/254.92 pppp6-{F}(V0,V1), empty-{F}(V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #37: input, references = 3, size of lhs = 1:
% 254.69/254.92 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #38: input, references = 4, size of lhs = 9:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #39: input, references = 4, size of lhs = 8:
% 254.69/254.92 P_the_carrier-{F}(V0,V1), join_commutative-{F}(V0), join_semilatt_str-{F}(V0), element-{F}(V2,V1), P_join_commut-{F}(V0,V3,V2,V4), P_join-{F}(V0,V3,V2,V5), element-{F}(V3,V1), V4 == V5 | empty_carrier-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #40: input, references = 5, size of lhs = 1:
% 254.69/254.92 relation_of2_as_subset-{F}(V2,V0,V1) | relation_of2-{T}(V2,V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #41: input, references = 3, size of lhs = 1:
% 254.69/254.92 relation_of2-{F}(V2,V0,V1) | relation_of2_as_subset-{T}(V2,V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #42: input, references = 3, size of lhs = 1:
% 254.69/254.92 #-{F} V0 | subset-{T}(V0,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #43: input, references = 3, size of lhs = 1:
% 254.69/254.92 in-{F}(V0,V1) | element-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #44: input, references = 4, size of lhs = 0:
% 254.69/254.92 FALSE | EXISTS V0: pppp9-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #45: input, references = 5, size of lhs = 2:
% 254.69/254.92 pppp9-{F}(V0), P_the_carrier-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #46: input, references = 5, size of lhs = 2:
% 254.69/254.92 pppp9-{F}(V0), P_the_carrier-{F}(V0,V1) | join_semilatt_str-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #47: input, references = 7, size of lhs = 2:
% 254.69/254.92 pppp9-{F}(V0), P_the_carrier-{F}(V0,V1) | join_commutative-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #48: input, references = 11, size of lhs = 3:
% 254.69/254.92 pppp9-{F}(V0), P_the_carrier-{F}(V0,V1), empty_carrier-{F}(V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #49: input, references = 5, size of lhs = 1:
% 254.69/254.92 pppp8-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V3,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #50: input, references = 5, size of lhs = 1:
% 254.69/254.92 pppp8-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #51: input, references = 5, size of lhs = 1:
% 254.69/254.92 pppp7-{F}(V0,V2,V2,V3) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #52: input, references = 5, size of lhs = 1:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3) | below-{T}(V0,V2,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #53: input, references = 5, size of lhs = 1:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3) | below-{T}(V0,V1,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #54: input, references = 5, size of lhs = 1:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #55: input, references = 8, size of lhs = 1:
% 254.69/254.92 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #56: input, references = 3, size of lhs = 2:
% 254.69/254.92 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #57: input, references = 3, size of lhs = 2:
% 254.69/254.92 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #58: input, references = 12, size of lhs = 3:
% 254.69/254.92 P_powerset-{F}(V1,V2), element-{F}(V0,V2), in-{F}(V3,V0) | element-{T}(V3,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #59: input, references = 4, size of lhs = 4:
% 254.69/254.92 P_powerset-{F}(V0,V1), empty-{F}(V0), element-{F}(V2,V1), in-{F}(V3,V2) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #60: input, references = 5, size of lhs = 3:
% 254.69/254.92 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #61: input, references = 4, size of lhs = 3:
% 254.69/254.92 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #62: input, references = 3, size of lhs = 4:
% 254.69/254.92 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #63: input, references = 5, size of lhs = 1:
% 254.69/254.92 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #64: input, references = 5, size of lhs = 3:
% 254.69/254.92 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_join_commut-{T}(V0,V1,V2,V3)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #65: input, references = 4, size of lhs = 3:
% 254.69/254.92 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_join-{T}(V0,V1,V2,V3)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #66: input, references = 4, size of lhs = 6:
% 254.69/254.92 #-{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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #67: input, references = 5, size of lhs = 1:
% 254.69/254.92 #-{F} V0 | EXISTS V1: P_the_L_join-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #68: input, references = 5, size of lhs = 2:
% 254.69/254.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #69: input, references = 9, size of lhs = 1:
% 254.69/254.92 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #70: input, references = 5, size of lhs = 3:
% 254.69/254.92 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_apply_binary-{T}(V0,V1,V2,V3)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #71: input, references = 5, size of lhs = 0:
% 254.69/254.92 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 number of initial rules = 72
% 254.69/254.92
% 254.69/254.92 Simplifiers:
% 254.69/254.92 #72: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 join_commutative-{F}(V0), join_commutative-{F}(V1), V0 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #73: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 quasi_total-{F}(V0,V1,V2), quasi_total-{F}(V3,V4,V2), V1 == V4 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #74: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #75: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_join_commut-{F}(V0,V1,V2,V3), P_join_commut-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #76: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_join-{F}(V0,V1,V2,V3), P_join-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #77: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 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
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #78: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_the_L_join-{F}(V0,V1), P_the_L_join-{F}(V0,V3), V1 == V3 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #79: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #80: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #81: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_apply_binary-{F}(V0,V1,V2,V3), P_apply_binary-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #82: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #83: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #84: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #85: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #86: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #87: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #88: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #89: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #90: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #91: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #92: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #93: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #94: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V2), V1 == V4 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #95: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V0 == V3 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #96: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V5), V2 == V5 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #97: unsound, references = 3, size of lhs = 3:
% 254.69/254.92 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 number of simplifiers = 26
% 254.69/254.92
% 254.69/254.92 Learnt:
% 254.69/254.92 #101: mergings( V4 == V6; #99 ), references = 3, size of lhs = 7:
% 254.69/254.92 join_commutative-{F}(V0), join_semilatt_str-{F}(V0), pppp9-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_join_commut-{F}(V0,V3,V2,V4) | P_join_commut-{T}(V0,V2,V3,V4)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #105: mergings( V4 == V6; #103 ), references = 6, size of lhs = 7:
% 254.69/254.92 join_commutative-{F}(V0), join_semilatt_str-{F}(V0), pppp9-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), element-{F}(V3,V1), P_join_commut-{F}(V0,V3,V2,V4) | P_join-{T}(V0,V3,V2,V4)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #107: disj( #55, input ), references = 2, size of lhs = 1:
% 254.69/254.92 element-{F}(V0,V0) | empty-{T}(V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #124: disj( #55, input ), references = 9, size of lhs = 3:
% 254.69/254.92 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #125: disj( #55, input ), references = 3, size of lhs = 2:
% 254.69/254.92 element-{F}(V0,V1), P_powerset-{F}(V2,V1) | in-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #164: exists( #69, #162 ), references = 2, size of lhs = 6:
% 254.69/254.92 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, in-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V4,V5), P_cartesian_product2-{F}(V4,V5,V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #214: exists( #69, #208 ), references = 2, size of lhs = 4:
% 254.69/254.92 P_powerset-{F}(V0,V1), in-{F}(V1,V2), relation_of2_as_subset-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #215: exists( #69, #210 ), references = 3, size of lhs = 5:
% 254.69/254.92 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, relation_of2_as_subset-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #247: disj( #34, input ), references = 1, size of lhs = 4:
% 254.69/254.92 one_sorted_str-{F}(V0), pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp10-{T}(V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #316: disj( #55, input ), references = 5, size of lhs = 4:
% 254.69/254.92 element-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V3) | in-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #317: disj( #55, input ), references = 1, size of lhs = 2:
% 254.69/254.92 element-{F}(V0,V1), pppp6-{F}(V1,V2) | in-{T}(V0,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #405: mergings( V1 == V3; #403 ), references = 1, size of lhs = 4:
% 254.69/254.92 one_sorted_str-{F}(V0), pppp9-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp10-{T}(V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #565: exists( #69, #559 ), references = 2, size of lhs = 7:
% 254.69/254.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V1,V3), in-{F}(V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V2) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #592: disj( #38, input ), references = 1, size of lhs = 11:
% 254.69/254.92 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #593: disj( #38, input ), references = 1, size of lhs = 12:
% 254.69/254.92 function-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V5,V4), P_apply_binary-{F}(V0,V6,V1,V7), element-{F}(V6,V8), P_cartesian_product2-{F}(V8,V2,V9), quasi_total-{F}(V0,V9,V10), relation_of2-{F}(V0,V9,V10), P_apply_binary_as_element-{F}(V8,V2,V10,V0,V6,V1,V11), V11 == V7 | empty-{T}(V8)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #601: mergings( V7 == V8; #597 ), references = 3, size of lhs = 10:
% 254.69/254.92 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), 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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #603: mergings( V7 == V8; #598 ), references = 4, size of lhs = 10:
% 254.69/254.92 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), in-{F}(V10,V7) | P_apply_binary_as_element-{T}(V7,V3,V9,V0,V5,V2,V6)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #604: exists( #66, #596 ), references = 1, size of lhs = 12:
% 254.69/254.92 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_powerset-{F}(V7,V10), element-{F}(V11,V10), in-{F}(V12,V11) | P_apply_binary_as_element-{T}(V7,V3,V9,V0,V5,V2,V6)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #650: mergings( V4 == V5, V5 == V8; #647 ), references = 5, size of lhs = 8:
% 254.69/254.92 join_commutative-{F}(V0), join_semilatt_str-{F}(V0), pppp9-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), element-{F}(V3,V2), element-{F}(V4,V2), P_apply_binary_as_element-{F}(V2,V2,V2,V1,V3,V4,V5) | P_join_commut-{T}(V0,V3,V4,V5)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #661: mergings( V8 == V10; #651 ), references = 2, size of lhs = 10:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), in-{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)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #662: disj( #9, input, input ), references = 1, size of lhs = 12:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V5,V4), in-{F}(V6,V5), element-{F}(V7,V8), P_cartesian_product2-{F}(V8,V3,V9), quasi_total-{F}(V0,V9,V10), relation_of2-{F}(V0,V9,V10), P_apply_binary_as_element-{F}(V8,V3,V10,V0,V7,V2,V11), in-{F}(V12,V8) | element-{T}(V11,V10)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #663: disj( #9, input, input ), references = 1, size of lhs = 12:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3), in-{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), P_powerset-{F}(V6,V10), element-{F}(V11,V10), in-{F}(V12,V11) | element-{T}(V9,V8)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #797: mergings( V21 == V23, V0 == V12, V2 == V4, V4 == V5; #790 ), references = 1, size of lhs = 19:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), in-{F}(V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), P_powerset-{F}(V8,V7), in-{F}(V9,V8), element-{F}(V10,V7), in-{F}(V11,V10), in-{F}(V12,V13), element-{F}(V14,V13), in-{F}(V15,V13), P_apply_binary-{F}(V0,V2,V14,V16), P_cartesian_product2-{F}(V8,V13,V17), quasi_total-{F}(V0,V17,V18), V18 == V1, in-{F}(V18,V16), relation_of2-{F}(V0,V17,V18) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #995: exists( #69, #993 ), references = 1, size of lhs = 9:
% 254.69/254.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), in-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), V6 == V0, in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1080: mergings( V2 == V3; #1077 ), references = 1, size of lhs = 8:
% 254.69/254.92 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, relation_of2_as_subset-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), V5 == V0, relation_of2_as_subset-{F}(V5,V6,V7), P_cartesian_product2-{F}(V6,V7,V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1358: mergings( V6 == V9, V9 == V10, V10 == V11; #1354 ), references = 2, size of lhs = 15:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), join_commutative-{F}(V2), join_semilatt_str-{F}(V2), pppp9-{F}(V2), P_the_L_join-{F}(V2,V0), P_the_carrier-{F}(V2,V3), V3 == V1, in-{F}(V4,V3), P_cartesian_product2-{F}(V3,V3,V5), quasi_total-{F}(V0,V5,V3), relation_of2-{F}(V0,V5,V3), element-{F}(V6,V3), below-{F}(V2,V6,V7), element-{F}(V7,V3) | P_apply_binary-{T}(V0,V6,V7,V7)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1380: mergings( V7 == V10, V2 == V11, V4 == V8; #1376 ), references = 2, size of lhs = 15:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), join_commutative-{F}(V2), join_semilatt_str-{F}(V2), pppp9-{F}(V2), P_the_L_join-{F}(V2,V0), P_the_carrier-{F}(V2,V3), V3 == V1, pppp8-{F}(V2,V4,V3), element-{F}(V4,V3), in-{F}(V5,V3), in-{F}(V6,V3), P_cartesian_product2-{F}(V3,V3,V7), quasi_total-{F}(V0,V7,V3), relation_of2-{F}(V0,V7,V3) | pppp7-{T}(V2,V4,V4,V3)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1393: exists( #45, #1391 ), references = 1, size of lhs = 13:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), join_commutative-{F}(V2), join_semilatt_str-{F}(V2), pppp9-{F}(V2), P_the_L_join-{F}(V2,V0), P_the_carrier-{F}(V2,V3), V3 == V1, in-{F}(V4,V3), in-{F}(V5,V3), P_cartesian_product2-{F}(V3,V3,V6), quasi_total-{F}(V0,V6,V3), relation_of2-{F}(V0,V6,V3) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1399: exists( #68, #1397 ), references = 1, size of lhs = 18:
% 254.69/254.92 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, join_commutative-{F}(V6), join_semilatt_str-{F}(V6), pppp9-{F}(V6), P_the_L_join-{F}(V6,V1), P_the_carrier-{F}(V6,V2), in-{F}(V7,V2), in-{F}(V8,V2) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1404: mergings( V2 == V7; #1402 ), references = 1, size of lhs = 16:
% 254.69/254.92 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, join_commutative-{F}(V6), join_semilatt_str-{F}(V6), pppp9-{F}(V6), P_the_L_join-{F}(V6,V1), P_the_carrier-{F}(V6,V2) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1407: mergings( V2 == V4; #1405 ), references = 2, size of lhs = 6:
% 254.69/254.92 P_empty_set-{F}(V0), join_commutative-{F}(V1), join_semilatt_str-{F}(V1), pppp9-{F}(V1), P_the_carrier-{F}(V1,V2), V2 == V0 | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1411: mergings( V2 == V3; #1409 ), references = 1, size of lhs = 3:
% 254.69/254.92 P_empty_set-{F}(V0), join_semilatt_str-{F}(V1), pppp9-{F}(V1) | P_the_carrier-{T}(V1,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1464: exists( #22, #1458 ), references = 2, size of lhs = 8:
% 254.69/254.92 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, P_powerset-{F}(V3,V2), element-{F}(V4,V3), P_powerset-{F}(V5,V4), relation_of2_as_subset-{F}(V3,V6,V7), P_cartesian_product2-{F}(V6,V7,V4) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1466: mergings( V2 == V3; #1462 ), references = 2, size of lhs = 8:
% 254.69/254.92 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, P_powerset-{F}(V3,V2), element-{F}(V4,V3), V4 == V0, relation_of2_as_subset-{F}(V3,V5,V6), P_cartesian_product2-{F}(V5,V6,V4) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1468: mergings( V2 == V3; #1463 ), references = 2, size of lhs = 10:
% 254.69/254.92 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, P_powerset-{F}(V3,V2), element-{F}(V4,V3), in-{F}(V5,V4), V5 == V0, P_powerset-{F}(V5,V6), relation_of2_as_subset-{F}(V3,V7,V8), P_cartesian_product2-{F}(V7,V8,V6) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1477: exists( #22, #1471 ), references = 1, size of lhs = 6:
% 254.69/254.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V2,V3), P_powerset-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), P_cartesian_product2-{F}(V5,V6,V2) | pppp3-{T}(V4,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1478: exists( #22, #1472 ), references = 1, size of lhs = 6:
% 254.69/254.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V1), V3 == V0, relation_of2_as_subset-{F}(V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V3) | pppp3-{T}(V2,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1479: exists( #22, #1473 ), references = 1, size of lhs = 8:
% 254.69/254.92 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, element-{F}(V2,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V5), relation_of2_as_subset-{F}(V3,V6,V7), P_cartesian_product2-{F}(V6,V7,V5) | pppp3-{T}(V4,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1528: disj( #55, exists( #69, #208 ) ), references = 1, size of lhs = 4:
% 254.69/254.92 P_powerset-{F}(V0,V1), element-{F}(V1,V2), relation_of2_as_subset-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V1) | empty-{T}(V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1529: disj( #55, exists( #69, #210 ) ), references = 1, size of lhs = 5:
% 254.69/254.92 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, relation_of2_as_subset-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V1) | empty-{T}(V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1530: disj( #55, exists( #69, #559 ) ), references = 1, size of lhs = 7:
% 254.69/254.92 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V1,V3), element-{F}(V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V2) | empty-{T}(V4)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1654: mergings( V6 == V10, V10 == V11, V11 == V12, V12 == V4; #1649 ), references = 2, size of lhs = 15:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), join_commutative-{F}(V2), join_semilatt_str-{F}(V2), pppp9-{F}(V2), P_the_L_join-{F}(V2,V0), P_the_carrier-{F}(V2,V1), in-{F}(V3,V1), P_cartesian_product2-{F}(V1,V1,V4), quasi_total-{F}(V0,V4,V1), relation_of2-{F}(V0,V4,V1), in-{F}(V5,V1), element-{F}(V6,V1), below-{F}(V2,V6,V7), element-{F}(V7,V1) | P_apply_binary-{T}(V0,V6,V7,V7)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1677: mergings( V6 == V10, V2 == V12, V12 == V8; #1673 ), references = 2, size of lhs = 16:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), join_commutative-{F}(V4), join_semilatt_str-{F}(V4), pppp9-{F}(V4), P_the_L_join-{F}(V4,V0), P_the_carrier-{F}(V4,V1), pppp8-{F}(V4,V5,V1), element-{F}(V5,V1), in-{F}(V6,V1), P_cartesian_product2-{F}(V1,V1,V7), quasi_total-{F}(V0,V7,V1), relation_of2-{F}(V0,V7,V1), in-{F}(V8,V1) | pppp7-{T}(V4,V5,V5,V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1686: exists( #45, #1682 ), references = 1, size of lhs = 14:
% 254.69/254.92 function-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V1), in-{F}(V3,V1), join_commutative-{F}(V4), join_semilatt_str-{F}(V4), pppp9-{F}(V4), P_the_L_join-{F}(V4,V0), P_the_carrier-{F}(V4,V1), in-{F}(V5,V1), P_cartesian_product2-{F}(V1,V1,V6), quasi_total-{F}(V0,V6,V1), relation_of2-{F}(V0,V6,V1), in-{F}(V7,V1) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1692: exists( #68, #1690 ), references = 1, size of lhs = 19:
% 254.69/254.92 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_empty_set-{F}(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), in-{F}(V5,V2), in-{F}(V6,V2), join_commutative-{F}(V7), join_semilatt_str-{F}(V7), pppp9-{F}(V7), P_the_L_join-{F}(V7,V1), P_the_carrier-{F}(V7,V2), in-{F}(V8,V2), in-{F}(V9,V2) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1779: disj( #55, exists( #68, #1690 ) ), references = 1, size of lhs = 16:
% 254.69/254.92 join_semilatt_str-{F}(V0), P_the_L_join-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_empty_set-{F}(V2), element-{F}(V3,V2), join_semilatt_str-{F}(V4), P_the_L_join-{F}(V4,V1), P_the_carrier-{F}(V4,V2), join_semilatt_str-{F}(V5), P_the_L_join-{F}(V5,V1), P_the_carrier-{F}(V5,V2), join_commutative-{F}(V6), join_semilatt_str-{F}(V6), pppp9-{F}(V6), P_the_L_join-{F}(V6,V1), P_the_carrier-{F}(V6,V2) | empty-{T}(V2)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1780: disj( #55, input ), references = 1, size of lhs = 2:
% 254.69/254.92 element-{F}(V0,V1), in-{F}(V1,V0) | empty-{T}(V1)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1786: mergings( V2 == V5, V0 == V4; #1783 ), references = 1, size of lhs = 7:
% 254.69/254.92 P_empty_set-{F}(V0), element-{F}(V1,V0), join_commutative-{F}(V2), join_semilatt_str-{F}(V2), one_sorted_str-{F}(V2), pppp9-{F}(V2), P_the_carrier-{F}(V2,V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1791: mergings( V0 == V4, V2 == V3; #1788 ), references = 2, size of lhs = 6:
% 254.69/254.92 P_empty_set-{F}(V0), join_commutative-{F}(V1), join_semilatt_str-{F}(V1), one_sorted_str-{F}(V1), pppp9-{F}(V1), P_the_carrier-{F}(V1,V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1797: exists( #71, #1795 ), references = 2, size of lhs = 3:
% 254.69/254.92 join_semilatt_str-{F}(V0), one_sorted_str-{F}(V0), pppp9-{F}(V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1829: exists( #63, #1827 ), references = 1, size of lhs = 2:
% 254.69/254.92 P_empty_set-{F}(V0), pppp9-{F}(V1) | P_the_carrier-{T}(V1,V0)
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1839: exists( #71, #1835 ), references = 1, size of lhs = 1:
% 254.69/254.92 pppp9-{F}(V0) | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 #1842: exists( #44, #1837 ), references = 1, size of lhs = 0:
% 254.69/254.92 FALSE | FALSE
% 254.69/254.92 (used 0 times, uses = {})
% 254.69/254.92
% 254.69/254.92 number of learnt formulas = 53
% 254.69/254.92
% 254.69/254.92
% 254.69/254.92 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.69/254.92
% 254.69/254.92 randbase = 1
%------------------------------------------------------------------------------