TSTP Solution File: LAT268-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:08:10 EDT 2022
% Result : Unsatisfiable 2.94s 3.13s
% Output : Refutation 2.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 19:31:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.94/3.13 GeoParameters:
% 2.94/3.13
% 2.94/3.13 tptp_input = 1
% 2.94/3.13 tptp_output = 0
% 2.94/3.13 nonempty = 1
% 2.94/3.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.94/3.13
% 2.94/3.13
% 2.94/3.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.13
% 2.94/3.13 RuleSystem INPUT:
% 2.94/3.13
% 2.94/3.13 Initial Rules:
% 2.94/3.13 #0: input, references = 5, size of lhs = 4:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3) | c_lessequals-{T}(V0,V1,V3)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #1: input, references = 5, size of lhs = 5:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4) | c_in-{T}(V4,V0,V2)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #2: input, references = 7, size of lhs = 11:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), c_in-{F}(V7,V8,V9) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #3: input, references = 4, size of lhs = 13:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), V1 == V11 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #4: input, references = 7, size of lhs = 25:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V14,V10,V16), P_c_Tarski_Opotype_Opset-{F}(V15,V14,V10,V17), P_tc_set-{F}(V14,V18), P_c_Tarski_Opotype_Oorder-{F}(V15,V14,V10,V19), P_tc_prod-{F}(V14,V14,V20), c_in-{F}(V15,V12,V16), c_in-{F}(V15,V13,V16), P_c_Tarski_Olub-{F}(V21,V15,V14,V22), c_lessequals-{F}(V21,V17,V18), P_c_Pair-{F}(V23,V22,V14,V14,V24), c_in-{F}(V23,V21,V14) | c_in-{T}(V24,V19,V20)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #5: input, references = 6, size of lhs = 21:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Pair-{F}(V14,V17,V15,V15,V18), P_c_Tarski_Odual-{F}(V16,V15,V19), P_c_Tarski_Opotype_Oorder-{F}(V19,V15,V10,V20), P_tc_prod-{F}(V15,V15,V21), P_c_Pair-{F}(V17,V14,V15,V15,V22), P_c_Tarski_Opotype_Oorder-{F}(V16,V15,V10,V23), c_in-{F}(V18,V20,V21) | c_in-{T}(V22,V23,V21)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #6: input, references = 7, size of lhs = 16:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V5,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V15) | c_in-{T}(V14,V12,V15)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #7: input, references = 4, size of lhs = 16:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V5,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V15) | c_in-{T}(V14,V13,V15)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #8: input, references = 4, size of lhs = 20:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V5,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V15), P_c_Tarski_Oglb-{F}(V16,V18,V17,V19), P_c_Tarski_Odual-{F}(V18,V17,V20), P_c_Tarski_Olub-{F}(V16,V20,V17,V21), V19 == V21 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #9: input, references = 4, size of lhs = 20:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V5,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V15), P_c_Tarski_Odual-{F}(V17,V16,V18), P_c_Tarski_Opotype_Opset-{F}(V18,V16,V10,V19), P_c_Tarski_Opotype_Opset-{F}(V17,V16,V10,V20), V19 == V20 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #10: input, references = 4, size of lhs = 18:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_c_Pair-{F}(V6,V4,V2,V2,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V2,V2,V9), P_tc_Product__Type_Ounit-{F}(V10), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V10,V11), P_c_Tarski_OCompleteLattice-{F}(V12), P_c_Tarski_OPartialOrder-{F}(V13), P_c_Tarski_Odual-{F}(V5,V2,V14), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V15), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V10,V16), V8 == V16 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #11: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #12: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #13: input, references = 5, size of lhs = 1:
% 2.94/3.13 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #14: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #15: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #16: input, references = 12, size of lhs = 4:
% 2.94/3.13 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #17: input, references = 11, size of lhs = 3:
% 2.94/3.13 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Oglb-{T}(V0,V1,V2,V3)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #18: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #19: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #20: input, references = 6, size of lhs = 2:
% 2.94/3.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #21: input, references = 7, size of lhs = 3:
% 2.94/3.13 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #22: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #23: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_c_Tarski_OCompleteLattice-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #24: input, references = 6, size of lhs = 2:
% 2.94/3.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #25: input, references = 4, size of lhs = 0:
% 2.94/3.13 FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #26: input, references = 5, size of lhs = 3:
% 2.94/3.13 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Olub-{T}(V0,V1,V2,V3)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #27: input, references = 7, size of lhs = 3:
% 2.94/3.13 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #28: input, references = 5, size of lhs = 2:
% 2.94/3.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Tarski_Odual-{T}(V0,V1,V2)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 number of initial rules = 29
% 2.94/3.13
% 2.94/3.13 Simplifiers:
% 2.94/3.13 #29: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #30: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #31: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #32: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #33: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #34: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #35: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #36: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #37: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_Oglb-{F}(V0,V1,V2,V3), P_c_Tarski_Oglb-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #38: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #39: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #40: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #41: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #42: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #43: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_OCompleteLattice-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #44: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V0,V1,V2), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #45: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #46: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_Olub-{F}(V0,V1,V2,V3), P_c_Tarski_Olub-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #47: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #48: unsound, references = 3, size of lhs = 3:
% 2.94/3.13 P_c_Tarski_Odual-{F}(V0,V1,V2), P_c_Tarski_Odual-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 number of simplifiers = 20
% 2.94/3.13
% 2.94/3.13 Learnt:
% 2.94/3.13 #51: exists( #16, #8 ), references = 4, size of lhs = 19:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Oglb-{F}(V18,V15,V16,V19), P_c_Tarski_Olub-{F}(V18,V17,V16,V20), V19 == V20 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #52: exists( #16, #9 ), references = 3, size of lhs = 19:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Opotype_Opset-{F}(V17,V16,V9,V18), P_c_Tarski_Opotype_Opset-{F}(V15,V16,V9,V19), V18 == V19 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #55: exists( #17, #49 ), references = 4, size of lhs = 18:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V5,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Oglb-{F}(V17,V14,V15,V18), P_c_Tarski_Olub-{F}(V17,V16,V15,V19), V18 == V19 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #57: exists( #21, #53 ), references = 6, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Oglb-{F}(V16,V13,V14,V17), P_c_Tarski_Olub-{F}(V16,V15,V14,V18), V17 == V18 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #59: exists( #26, #56 ), references = 4, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Oglb-{F}(V16,V13,V14,V17) | P_c_Tarski_Olub-{T}(V16,V15,V14,V17)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #61: exists( #17, #57 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Olub-{F}(V16,V15,V14,V17) | P_c_Tarski_Oglb-{T}(V16,V13,V14,V17)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #63: exists( #21, #52 ), references = 3, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Opotype_Opset-{F}(V15,V16,V9,V18) | P_c_Tarski_Opotype_Opset-{T}(V17,V16,V9,V18)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #65: exists( #16, #10 ), references = 1, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V9,V15), V7 == V15 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #67: exists( #27, #64 ), references = 4, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14) | P_c_Tarski_Opotype_Oorder-{T}(V5,V2,V9,V7)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #87: mergings( V4 == V15, V15 == V24, V5 == V16, V16 == V25, V6 == V17, V17 == V26, V26 == V30, V7 == V18, V18 == V27, V8 == V19, V19 == V28, V9 == V20, V20 == V29, V10 == V21, V11 == V22, V12 == V23; #70 ), references = 1, size of lhs = 20:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V5), P_v_x-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V4,V8), P_c_Tarski_Opotype_Opset-{F}(V7,V4,V0,V9), P_c_Tarski_Oglb-{F}(V2,V7,V4,V10), P_v_r-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V8,V4,V0,V11), P_tc_prod-{F}(V4,V4,V12), P_tc_set-{F}(V4,V13), P_c_Tarski_Opotype_Opset-{F}(V8,V4,V0,V14), c_lessequals-{F}(V15,V14,V13), P_c_Tarski_Olub-{F}(V15,V8,V4,V6), c_in-{F}(V10,V15,V4) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #91: exists( #17, #57 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Olub-{F}(V16,V15,V14,V17) | P_c_Tarski_Oglb-{T}(V16,V13,V14,V17)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #92: exists( #17, #55 ), references = 1, size of lhs = 16:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V5,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Olub-{F}(V17,V16,V15,V18) | P_c_Tarski_Oglb-{T}(V17,V14,V15,V18)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #93: exists( #17, #51 ), references = 1, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Olub-{F}(V18,V17,V16,V19) | P_c_Tarski_Oglb-{T}(V18,V15,V16,V19)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #124: mergings( V3 == V14, V14 == V23, V23 == V33, V4 == V15, V15 == V24, V24 == V34, V5 == V16, V16 == V25, V25 == V35, V35 == V42, V6 == V17, V17 == V26, V26 == V36, V7 == V18, V18 == V27, V27 == V37, V8 == V19, V19 == V28, V28 == V38, V9 == V20, V10 == V21, V20 == V29, V21 == V30, V22 == V31, V11 == V31, V31 == V32; #97 ), references = 1, size of lhs = 23:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V6), P_v_cl-{F}(V7), P_c_Tarski_Oglb-{F}(V2,V7,V4,V5), P_c_Tarski_Odual-{F}(V7,V4,V8), P_c_Tarski_Opotype_Opset-{F}(V7,V4,V0,V9), P_v_r-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V11,V4,V0,V10), P_c_Tarski_Odual-{F}(V11,V4,V12), P_c_Tarski_Opotype_Oorder-{F}(V12,V4,V0,V13), P_c_Tarski_Opotype_Oorder-{F}(V8,V4,V0,V13), P_tc_prod-{F}(V4,V4,V14), P_tc_set-{F}(V4,V15), P_c_Tarski_Opotype_Opset-{F}(V8,V4,V0,V16), c_lessequals-{F}(V17,V16,V15), P_c_Tarski_Olub-{F}(V17,V8,V4,V5), c_in-{F}(V5,V17,V4) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #151: mergings( V4 == V10, V10 == V15, V15 == V21, V5 == V11, V11 == V16, V16 == V22, V23 == V28, V28 == V31, V31 == V34, V34 == V39, V6 == V12, V12 == V17, V17 == V35, V7 == V13, V13 == V18, V18 == V36, V25 == V29, V29 == V32, V32 == V38, V30 == V33, V8 == V2, V26 == V33, V14 == V19, V9 == V19, V19 == V20; #125 ), references = 1, size of lhs = 21:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V6), P_v_cl-{F}(V7), P_c_Tarski_Oglb-{F}(V2,V7,V4,V5), P_c_Tarski_Odual-{F}(V7,V4,V8), P_c_Tarski_Opotype_Opset-{F}(V7,V4,V0,V9), P_v_r-{F}(V10), P_c_Tarski_Opotype_Oorder-{F}(V11,V4,V0,V10), P_c_Tarski_Odual-{F}(V11,V4,V8), P_tc_prod-{F}(V4,V4,V12), P_tc_set-{F}(V4,V13), P_c_Tarski_Opotype_Opset-{F}(V8,V4,V0,V14), c_lessequals-{F}(V15,V14,V13), P_c_Tarski_Olub-{F}(V15,V8,V4,V5), c_in-{F}(V5,V15,V4) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #155: exists( #16, #3 ), references = 1, size of lhs = 12:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), V1 == V10 | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #157: exists( #21, #154 ), references = 4, size of lhs = 10:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9) | P_c_Tarski_Opotype_Opset-{T}(V5,V2,V9,V1)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #165: exists( #17, #57 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Olub-{F}(V16,V15,V14,V17) | P_c_Tarski_Oglb-{T}(V16,V13,V14,V17)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #166: exists( #17, #55 ), references = 1, size of lhs = 16:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V5,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Olub-{F}(V17,V16,V15,V18) | P_c_Tarski_Oglb-{T}(V17,V14,V15,V18)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #167: exists( #17, #51 ), references = 1, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Olub-{F}(V18,V17,V16,V19) | P_c_Tarski_Oglb-{T}(V18,V15,V16,V19)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #169: exists( #21, #52 ), references = 1, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Opotype_Opset-{F}(V17,V16,V9,V18) | P_c_Tarski_Opotype_Opset-{T}(V15,V16,V9,V18)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #202: mergings( V4 == V15, V15 == V24, V24 == V34, V5 == V16, V16 == V25, V25 == V35, V6 == V17, V17 == V26, V26 == V36, V7 == V18, V18 == V27, V27 == V37, V8 == V19, V19 == V28, V28 == V38, V9 == V20, V20 == V29, V29 == V39, V10 == V21, V11 == V22, V21 == V30, V22 == V31, V23 == V32, V12 == V32, V32 == V33; #176 ), references = 1, size of lhs = 28:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V5), P_tc_set-{F}(V4,V6), P_v_x-{F}(V7), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V4,V9), P_c_Tarski_Opotype_Opset-{F}(V8,V4,V0,V10), P_c_Tarski_Oglb-{F}(V2,V8,V4,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V4,V4,V13), P_c_Tarski_Opotype_Oorder-{F}(V14,V4,V0,V12), P_c_Tarski_Odual-{F}(V14,V4,V15), P_c_Tarski_Opotype_Oorder-{F}(V15,V4,V0,V16), P_c_Pair-{F}(V7,V11,V4,V4,V17), P_tc_prod-{F}(V18,V18,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V18,V0,V5), P_c_Tarski_Opotype_Oorder-{F}(V9,V18,V0,V16), P_tc_set-{F}(V18,V19), P_c_Tarski_Opotype_Opset-{F}(V9,V18,V0,V20), c_lessequals-{F}(V21,V20,V19), P_c_Tarski_Olub-{F}(V21,V9,V18,V22), c_in-{F}(V23,V21,V18), P_c_Pair-{F}(V23,V22,V18,V18,V17) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #230: mergings( V4 == V10, V10 == V16, V16 == V23, V5 == V11, V11 == V17, V17 == V24, V25 == V30, V30 == V33, V33 == V36, V36 == V43, V6 == V12, V12 == V18, V18 == V37, V7 == V13, V13 == V19, V19 == V38, V26 == V31, V31 == V34, V34 == V39, V8 == V14, V27 == V32, V14 == V20, V32 == V35, V15 == V21, V9 == V21, V21 == V22; #203 ), references = 1, size of lhs = 23:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V5), P_v_x-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V4,V8), P_c_Tarski_Opotype_Opset-{F}(V7,V4,V0,V9), P_c_Tarski_Oglb-{F}(V2,V7,V4,V10), P_v_r-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V12,V4,V0,V11), P_c_Tarski_Odual-{F}(V12,V4,V13), P_c_Tarski_Opotype_Oorder-{F}(V13,V4,V0,V14), P_c_Tarski_Opotype_Oorder-{F}(V8,V4,V0,V14), P_tc_prod-{F}(V4,V4,V15), P_tc_set-{F}(V4,V16), P_c_Tarski_Opotype_Opset-{F}(V8,V4,V0,V17), c_lessequals-{F}(V18,V17,V16), P_c_Tarski_Olub-{F}(V18,V8,V4,V10), c_in-{F}(V6,V18,V4) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #257: mergings( V4 == V10, V10 == V15, V15 == V21, V5 == V11, V11 == V16, V16 == V22, V23 == V28, V28 == V31, V31 == V34, V34 == V40, V6 == V12, V12 == V17, V17 == V36, V7 == V13, V13 == V18, V18 == V37, V25 == V29, V29 == V32, V32 == V39, V30 == V33, V8 == V2, V26 == V33, V14 == V19, V9 == V19, V19 == V20; #231 ), references = 1, size of lhs = 21:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V5), P_v_x-{F}(V6), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V4,V8), P_c_Tarski_Opotype_Opset-{F}(V7,V4,V0,V9), P_c_Tarski_Oglb-{F}(V2,V7,V4,V10), P_v_r-{F}(V11), P_c_Tarski_Opotype_Oorder-{F}(V12,V4,V0,V11), P_c_Tarski_Odual-{F}(V12,V4,V8), P_tc_prod-{F}(V4,V4,V13), P_tc_set-{F}(V4,V14), P_c_Tarski_Opotype_Opset-{F}(V8,V4,V0,V15), c_lessequals-{F}(V16,V15,V14), P_c_Tarski_Olub-{F}(V16,V8,V4,V10), c_in-{F}(V6,V16,V4) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #314: mergings( V7 == V0, V4 == V8, V8 == V20, V20 == V24, V24 == V29, V29 == V32, V32 == V35, V35 == V40, V41 == V43, V43 == V47, V47 == V51, V51 == V55, V55 == V57, V57 == V59, V59 == V63, V9 == V2, V10 == V63, V5 == V11, V11 == V21, V21 == V25, V25 == V60, V12 == V1, V6 == V13, V13 == V26, V26 == V30, V30 == V33, V33 == V36, V36 == V61, V14 == V42, V42 == V44, V44 == V48, V48 == V52, V52 == V56, V56 == V58, V58 == V62, V15 == V37, V16 == V22, V22 == V27, V27 == V34, V34 == V38, V19 == V46, V46 == V50, V50 == V54, V17 == V23, V23 == V28, V28 == V31, V31 == V38, V38 == V39, V18 == V45, V45 == V49, V49 == V53; #262 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V4,V0,V5), P_v_x-{F}(V6), c_in-{F}(V6,V2,V4), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V4,V8), P_v_r-{F}(V9), P_tc_prod-{F}(V4,V4,V10), P_tc_set-{F}(V4,V11), c_lessequals-{F}(V2,V3,V11) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #362: mergings( V6 == V35, V3 == V7, V7 == V16, V16 == V20, V20 == V25, V25 == V28, V28 == V31, V31 == V36, V8 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V57, V4 == V9, V9 == V17, V17 == V21, V21 == V50, V10 == V51, V5 == V11, V11 == V22, V22 == V26, V26 == V29, V29 == V32, V32 == V55, V12 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V56, V13 == V18, V18 == V23, V23 == V30, V30 == V33, V14 == V19, V19 == V24, V24 == V27, V27 == V33, V33 == V34, V15 == V52, V52 == V53, V53 == V54; #315 ), references = 1, size of lhs = 14:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), c_in-{F}(V5,V2,V4), P_v_cl-{F}(V6), P_c_Tarski_Odual-{F}(V6,V4,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V4,V4,V9), P_tc_set-{F}(V4,V10), c_lessequals-{F}(V2,V3,V10) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #403: mergings( V5 == V32, V2 == V6, V6 == V12, V12 == V16, V16 == V21, V21 == V24, V24 == V27, V27 == V33, V34 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V49, V3 == V7, V7 == V13, V13 == V17, V17 == V43, V8 == V44, V4 == V9, V9 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V48, V10 == V14, V14 == V19, V19 == V26, V26 == V30, V11 == V15, V15 == V20, V20 == V23, V23 == V30, V30 == V31, V35 == V45, V45 == V46, V46 == V47; #363 ), references = 1, size of lhs = 13:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), c_in-{F}(V5,V2,V4), P_v_cl-{F}(V6), P_c_Tarski_Odual-{F}(V6,V4,V7), P_v_r-{F}(V8), P_tc_set-{F}(V4,V9), c_lessequals-{F}(V2,V3,V9) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #440: mergings( V6 == V32, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V24, V24 == V27, V27 == V33, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V44, V4 == V8, V8 == V13, V13 == V17, V17 == V42, V5 == V9, V9 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V43, V10 == V14, V14 == V19, V19 == V26, V26 == V30, V11 == V15, V15 == V20, V20 == V23, V23 == V30, V30 == V31; #404 ), references = 1, size of lhs = 12:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), c_in-{F}(V5,V2,V4), P_v_cl-{F}(V6), P_v_r-{F}(V7), P_tc_set-{F}(V4,V8), c_lessequals-{F}(V2,V3,V8) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #472: mergings( V6 == V32, V2 == V3, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V24, V24 == V27, V27 == V33, V4 == V8, V8 == V13, V13 == V17, V17 == V34, V5 == V9, V9 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V36, V10 == V14, V14 == V19, V19 == V26, V26 == V30, V11 == V15, V15 == V20, V20 == V23, V23 == V30, V30 == V31; #443 ), references = 1, size of lhs = 9:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #474: exists( #26, #57 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Oglb-{F}(V16,V13,V14,V17) | P_c_Tarski_Olub-{T}(V16,V15,V14,V17)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #504: mergings( V4 == V18, V18 == V32, V5 == V19, V19 == V33, V6 == V20, V7 == V21, V20 == V34, V21 == V35, V8 == V22, V22 == V36, V9 == V23, V10 == V24, V11 == V25, V23 == V37, V24 == V38, V25 == V39, V12 == V26, V26 == V40, V13 == V27, V27 == V41, V14 == V28, V15 == V29, V16 == V30, V17 == V31; #479 ), references = 1, size of lhs = 28:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_set-{F}(V5,V6), P_v_x-{F}(V7), P_v_cl-{F}(V8), P_c_Tarski_Opotype_Opset-{F}(V8,V5,V0,V9), P_c_Tarski_Oglb-{F}(V3,V8,V5,V10), P_c_Pair-{F}(V10,V7,V5,V5,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V5,V5,V13), P_tc_prod-{F}(V14,V14,V13), P_c_Tarski_Opotype_Oorder-{F}(V15,V14,V0,V12), P_c_Tarski_Odual-{F}(V15,V14,V16), P_c_Tarski_Opotype_Oorder-{F}(V16,V14,V0,V17), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V14,V0,V18), P_tc_set-{F}(V14,V19), P_c_Tarski_Opotype_Oorder-{F}(V20,V14,V0,V17), c_in-{F}(V20,V1,V18), c_in-{F}(V20,V2,V18), P_c_Tarski_Opotype_Opset-{F}(V20,V14,V0,V21), c_lessequals-{F}(V22,V21,V19), P_c_Tarski_Olub-{F}(V22,V20,V14,V23), c_in-{F}(V24,V22,V14), P_c_Pair-{F}(V23,V24,V14,V14,V11) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #543: mergings( V4 == V15, V15 == V24, V24 == V34, V34 == V44, V5 == V16, V16 == V25, V25 == V35, V35 == V45, V6 == V17, V17 == V26, V26 == V36, V36 == V46, V46 == V53, V7 == V18, V18 == V27, V27 == V37, V37 == V47, V8 == V19, V19 == V28, V28 == V38, V38 == V48, V9 == V20, V20 == V29, V29 == V39, V39 == V49, V10 == V21, V11 == V22, V21 == V30, V22 == V31, V30 == V40, V31 == V41, V23 == V32, V32 == V42, V12 == V33, V33 == V43; #507 ), references = 2, size of lhs = 23:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V6), P_v_x-{F}(V7), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V5,V9), P_c_Tarski_Opotype_Opset-{F}(V8,V5,V0,V10), P_c_Tarski_Oglb-{F}(V3,V8,V5,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V5,V5,V13), P_c_Tarski_Opotype_Oorder-{F}(V14,V5,V0,V12), P_c_Tarski_Odual-{F}(V14,V5,V15), P_c_Tarski_Opotype_Oorder-{F}(V15,V5,V0,V16), P_c_Tarski_Opotype_Oorder-{F}(V9,V5,V0,V16), P_tc_set-{F}(V5,V17), P_c_Tarski_Opotype_Opset-{F}(V9,V5,V0,V18), c_lessequals-{F}(V19,V18,V17), P_c_Tarski_Olub-{F}(V19,V9,V5,V11), c_in-{F}(V7,V19,V5) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #595: mergings( V7 == V0, V4 == V8, V8 == V20, V20 == V24, V24 == V27, V27 == V30, V30 == V34, V34 == V39, V40 == V42, V42 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V59, V9 == V2, V10 == V59, V5 == V11, V11 == V21, V21 == V56, V12 == V1, V6 == V13, V13 == V25, V25 == V28, V28 == V31, V31 == V35, V35 == V57, V14 == V41, V41 == V43, V43 == V47, V47 == V50, V50 == V52, V52 == V54, V54 == V58, V15 == V36, V16 == V22, V22 == V29, V29 == V32, V32 == V37, V19 == V45, V45 == V48, V17 == V23, V23 == V26, V26 == V33, V33 == V38, V18 == V1, V1 == V44; #547 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V6), P_v_x-{F}(V7), c_in-{F}(V7,V3,V5), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V5,V8), P_v_r-{F}(V9), P_tc_prod-{F}(V5,V5,V10), P_tc_set-{F}(V5,V11), c_lessequals-{F}(V3,V4,V11) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #640: mergings( V6 == V34, V3 == V7, V7 == V16, V16 == V20, V20 == V23, V23 == V26, V26 == V30, V30 == V35, V8 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V54, V4 == V9, V9 == V17, V17 == V49, V10 == V50, V5 == V11, V11 == V21, V21 == V24, V24 == V27, V27 == V31, V31 == V52, V12 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V53, V13 == V18, V18 == V25, V25 == V28, V28 == V32, V14 == V19, V19 == V22, V22 == V29, V29 == V33, V15 == V50, V50 == V51; #596 ), references = 1, size of lhs = 14:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_x-{F}(V6), c_in-{F}(V6,V3,V5), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V5,V7), P_v_r-{F}(V8), P_tc_prod-{F}(V5,V5,V9), P_tc_set-{F}(V5,V10), c_lessequals-{F}(V3,V4,V10) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #678: mergings( V5 == V31, V2 == V6, V6 == V12, V12 == V16, V16 == V19, V19 == V22, V22 == V26, V26 == V32, V33 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V46, V3 == V7, V7 == V13, V13 == V42, V8 == V43, V4 == V9, V9 == V17, V17 == V20, V20 == V23, V23 == V27, V27 == V45, V10 == V14, V14 == V21, V21 == V24, V24 == V29, V11 == V15, V15 == V18, V18 == V25, V25 == V30, V34 == V43, V43 == V44; #641 ), references = 1, size of lhs = 13:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_x-{F}(V6), c_in-{F}(V6,V3,V5), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V5,V7), P_v_r-{F}(V8), P_tc_set-{F}(V5,V9), c_lessequals-{F}(V3,V4,V9) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #682: exists( #17, #57 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_OCompleteLattice-{F}(V9), P_c_Tarski_OPartialOrder-{F}(V10), P_c_Tarski_Odual-{F}(V5,V2,V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V12), P_c_Tarski_Odual-{F}(V13,V14,V15), P_c_Tarski_Olub-{F}(V16,V15,V14,V17) | P_c_Tarski_Oglb-{T}(V16,V13,V14,V17)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #683: exists( #17, #55 ), references = 1, size of lhs = 16:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V2,V2,V7), P_tc_Product__Type_Ounit-{F}(V8), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V8,V9), P_c_Tarski_OCompleteLattice-{F}(V10), P_c_Tarski_OPartialOrder-{F}(V11), P_c_Tarski_Odual-{F}(V5,V2,V12), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V13), P_c_Tarski_Odual-{F}(V14,V15,V16), P_c_Tarski_Olub-{F}(V17,V16,V15,V18) | P_c_Tarski_Oglb-{T}(V17,V14,V15,V18)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #684: exists( #17, #51 ), references = 1, size of lhs = 17:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_c_Tarski_Oglb-{F}(V0,V5,V2,V6), P_v_r-{F}(V7), P_tc_prod-{F}(V2,V2,V8), P_tc_Product__Type_Ounit-{F}(V9), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V9,V10), P_c_Tarski_OCompleteLattice-{F}(V11), P_c_Tarski_OPartialOrder-{F}(V12), P_c_Tarski_Odual-{F}(V5,V2,V13), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V14), P_c_Tarski_Odual-{F}(V15,V16,V17), P_c_Tarski_Olub-{F}(V18,V17,V16,V19) | P_c_Tarski_Oglb-{T}(V18,V15,V16,V19)
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #687: exists( #27, #543 ), references = 1, size of lhs = 21:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V6), P_v_x-{F}(V7), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V5,V9), P_c_Tarski_Opotype_Opset-{F}(V8,V5,V0,V10), P_c_Tarski_Oglb-{F}(V3,V8,V5,V11), P_v_r-{F}(V12), P_tc_prod-{F}(V5,V5,V13), P_c_Tarski_Opotype_Oorder-{F}(V14,V5,V0,V12), P_c_Tarski_Odual-{F}(V14,V5,V9), P_tc_set-{F}(V5,V15), P_c_Tarski_Opotype_Opset-{F}(V9,V5,V0,V16), c_lessequals-{F}(V17,V16,V15), P_c_Tarski_Olub-{F}(V17,V9,V5,V11), c_in-{F}(V7,V17,V5) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #728: mergings( V7 == V0, V4 == V8, V8 == V20, V20 == V24, V24 == V32, V33 == V35, V35 == V38, V38 == V48, V9 == V2, V10 == V48, V5 == V11, V11 == V21, V21 == V25, V25 == V42, V12 == V1, V6 == V13, V13 == V26, V26 == V46, V14 == V34, V34 == V36, V36 == V39, V39 == V47, V15 == V29, V16 == V22, V22 == V27, V27 == V30, V19 == V37, V37 == V40, V40 == V41, V17 == V23, V23 == V28, V28 == V31, V18 == V43, V43 == V44, V44 == V45; #692 ), references = 1, size of lhs = 15:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V0,V6), P_v_x-{F}(V7), c_in-{F}(V7,V3,V5), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V5,V9), P_v_r-{F}(V10), P_tc_prod-{F}(V5,V5,V11), P_tc_set-{F}(V5,V12), c_lessequals-{F}(V3,V4,V12) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #760: mergings( V6 == V27, V3 == V7, V7 == V16, V16 == V20, V20 == V28, V8 == V29, V29 == V31, V31 == V33, V33 == V42, V4 == V9, V9 == V17, V17 == V21, V21 == V35, V10 == V36, V5 == V11, V11 == V22, V22 == V40, V12 == V30, V30 == V32, V32 == V34, V34 == V41, V13 == V18, V18 == V23, V23 == V25, V14 == V19, V19 == V24, V24 == V26, V15 == V37, V37 == V38, V38 == V39; #729 ), references = 1, size of lhs = 14:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_x-{F}(V6), c_in-{F}(V6,V3,V5), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V5,V8), P_v_r-{F}(V9), P_tc_prod-{F}(V5,V5,V10), P_tc_set-{F}(V5,V11), c_lessequals-{F}(V3,V4,V11) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #788: mergings( V5 == V24, V2 == V6, V6 == V12, V12 == V16, V16 == V25, V26 == V28, V28 == V29, V29 == V30, V30 == V37, V3 == V7, V7 == V13, V13 == V17, V17 == V31, V8 == V32, V4 == V9, V9 == V18, V18 == V36, V10 == V14, V14 == V19, V19 == V22, V11 == V15, V15 == V20, V20 == V23, V27 == V33, V33 == V34, V34 == V35; #761 ), references = 1, size of lhs = 13:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_x-{F}(V6), c_in-{F}(V6,V3,V5), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V5,V8), P_v_r-{F}(V9), P_tc_set-{F}(V5,V10), c_lessequals-{F}(V3,V4,V10) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #812: mergings( V6 == V24, V3 == V7, V7 == V12, V12 == V16, V16 == V25, V26 == V27, V27 == V28, V28 == V29, V29 == V32, V4 == V8, V8 == V13, V13 == V17, V17 == V30, V5 == V9, V9 == V18, V18 == V31, V10 == V14, V14 == V19, V19 == V22, V11 == V15, V15 == V20, V20 == V23; #789 ), references = 1, size of lhs = 12:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_x-{F}(V6), c_in-{F}(V6,V3,V5), P_v_cl-{F}(V7), P_v_r-{F}(V8), P_tc_set-{F}(V5,V9), c_lessequals-{F}(V3,V4,V9) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #835: mergings( V6 == V24, V2 == V3, V3 == V7, V7 == V12, V12 == V16, V16 == V25, V4 == V8, V8 == V13, V13 == V17, V17 == V26, V5 == V9, V9 == V18, V18 == V28, V10 == V14, V14 == V19, V19 == V22, V11 == V15, V15 == V20, V20 == V23; #815 ), references = 1, size of lhs = 9:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_S-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_x-{F}(V6), P_v_cl-{F}(V7), P_v_r-{F}(V8) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #853: mergings( V5 == V19, V1 == V2, V2 == V6, V6 == V10, V10 == V13, V13 == V20, V3 == V7, V7 == V11, V11 == V14, V14 == V22, V4 == V8, V8 == V15, V15 == V24, V9 == V12, V12 == V16, V16 == V18; #836 ), references = 1, size of lhs = 8:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), P_v_S-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), P_v_x-{F}(V5), P_v_cl-{F}(V6), P_v_r-{F}(V7) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #868: mergings( V5 == V15, V1 == V2, V2 == V6, V6 == V9, V9 == V11, V11 == V16, V3 == V7, V7 == V10, V10 == V12, V12 == V18, V4 == V8, V8 == V13, V13 == V20; #854 ), references = 1, size of lhs = 7:
% 2.94/3.13 P_tc_Product__Type_Ounit-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_cl-{F}(V5), P_v_r-{F}(V6) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #883: mergings( V5 == V14, V1 == V2, V2 == V6, V6 == V9, V9 == V11, V11 == V15, V3 == V7, V7 == V10, V10 == V12, V12 == V17, V4 == V8, V8 == V13, V13 == V19; #869 ), references = 1, size of lhs = 6:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_x-{F}(V3), P_v_cl-{F}(V4), P_v_r-{F}(V5) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #895: mergings( V4 == V11, V1 == V2, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V3 == V6, V6 == V8, V8 == V10, V10 == V14; #884 ), references = 1, size of lhs = 5:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_x-{F}(V3), P_v_cl-{F}(V4) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #907: mergings( V4 == V11, V1 == V2, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V3 == V6, V6 == V8, V8 == V10, V10 == V14; #896 ), references = 1, size of lhs = 4:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_x-{F}(V3) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #915: mergings( V3 == V7, V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V8; #908 ), references = 1, size of lhs = 3:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #923: mergings( V3 == V7, V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V8; #916 ), references = 1, size of lhs = 2:
% 2.94/3.13 P_v_S-{F}(V0), P_v_A-{F}(V1) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #926: mergings( V1 == V2; #924 ), references = 1, size of lhs = 1:
% 2.94/3.13 P_v_S-{F}(V0) | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 #928: exists( #11, #924 ), references = 1, size of lhs = 0:
% 2.94/3.13 FALSE | FALSE
% 2.94/3.13 (used 0 times, uses = {})
% 2.94/3.13
% 2.94/3.13 number of learnt formulas = 53
% 2.94/3.13
% 2.94/3.13
% 2.94/3.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.13
% 2.94/3.13 randbase = 1
%------------------------------------------------------------------------------