TSTP Solution File: LAT281-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT281-2 : 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 06:08:12 EDT 2022
% Result : Unsatisfiable 0.49s 0.68s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 19:51:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.68 GeoParameters:
% 0.49/0.68
% 0.49/0.68 tptp_input = 1
% 0.49/0.68 tptp_output = 0
% 0.49/0.68 nonempty = 1
% 0.49/0.68 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.68 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.49/0.68
% 0.49/0.68
% 0.49/0.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.68
% 0.49/0.68 RuleSystem INPUT:
% 0.49/0.68
% 0.49/0.68 Initial Rules:
% 0.49/0.68 #0: input, references = 4, size of lhs = 6:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5) | c_in-{T}(V3,V4,V5)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #1: input, references = 5, size of lhs = 8:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_c-{F}(V6), P_c_Pair-{F}(V1,V6,V2,V2,V7) | c_in-{T}(V7,V4,V5)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #2: input, references = 5, size of lhs = 10:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_c-{F}(V6), P_c_Pair-{F}(V1,V6,V2,V2,V7), P_c_Pair-{F}(V0,V6,V2,V2,V8), c_in-{F}(V8,V4,V5) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #3: input, references = 4, size of lhs = 16:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_c-{F}(V6), P_c_Pair-{F}(V1,V6,V2,V2,V7), P_c_Pair-{F}(V0,V6,V2,V2,V8), P_tc_prod-{F}(V10,V10,V11), c_Relation_Otrans-{F}(V9,V10), P_c_Pair-{F}(V12,V13,V10,V10,V14), P_c_Pair-{F}(V15,V13,V10,V10,V16), P_c_Pair-{F}(V12,V15,V10,V10,V17), c_in-{F}(V16,V9,V11), c_in-{F}(V17,V9,V11) | c_in-{T}(V14,V9,V11)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #4: input, references = 4, size of lhs = 14:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_c-{F}(V6), P_c_Pair-{F}(V1,V6,V2,V2,V7), P_c_Pair-{F}(V0,V6,V2,V2,V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Product__Type_Ounit-{F}(V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V11,V10,V13), P_c_Tarski_Opotype_Oorder-{F}(V12,V11,V10,V14), c_in-{F}(V12,V9,V13) | c_Relation_Otrans-{T}(V14,V11)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #5: input, references = 4, size of lhs = 13:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_c-{F}(V6), P_c_Pair-{F}(V1,V6,V2,V2,V7), P_c_Pair-{F}(V0,V6,V2,V2,V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Product__Type_Ounit-{F}(V10), P_v_cl-{F}(V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V12) | c_in-{T}(V11,V9,V12)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #6: input, references = 4, size of lhs = 15:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_c-{F}(V6), P_c_Pair-{F}(V1,V6,V2,V2,V7), P_c_Pair-{F}(V0,V6,V2,V2,V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Product__Type_Ounit-{F}(V10), P_v_cl-{F}(V11), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V10,V12), P_c_Tarski_Opotype_Oorder-{F}(V11,V2,V10,V13), V4 == V13 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #7: input, references = 12, size of lhs = 4:
% 0.49/0.68 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #8: input, references = 4, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_v_a-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #9: input, references = 4, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_v_b-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #10: input, references = 5, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #11: input, references = 5, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #12: input, references = 5, size of lhs = 2:
% 0.49/0.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #13: input, references = 5, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #14: input, references = 4, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #15: input, references = 4, size of lhs = 2:
% 0.49/0.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #16: input, references = 4, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #17: input, references = 5, size of lhs = 3:
% 0.49/0.68 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #18: input, references = 4, size of lhs = 0:
% 0.49/0.68 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 number of initial rules = 19
% 0.49/0.68
% 0.49/0.68 Simplifiers:
% 0.49/0.68 #19: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #20: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_v_a-{F}(V0), P_v_a-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #21: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_v_b-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #22: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #23: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #24: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #25: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #26: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #27: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 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
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #28: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #29: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #30: unsound, references = 3, size of lhs = 3:
% 0.49/0.68 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 number of simplifiers = 12
% 0.49/0.68
% 0.49/0.68 Learnt:
% 0.49/0.68 #32: exists( #7, #6 ), references = 2, size of lhs = 14:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_c-{F}(V5), P_c_Pair-{F}(V1,V5,V2,V2,V6), P_c_Pair-{F}(V0,V5,V2,V2,V7), P_c_Tarski_OPartialOrder-{F}(V8), P_tc_Product__Type_Ounit-{F}(V9), P_v_cl-{F}(V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V9,V11), P_c_Tarski_Opotype_Oorder-{F}(V10,V2,V9,V12), V3 == V12 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #34: exists( #7, #31 ), references = 1, size of lhs = 12:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_c-{F}(V4), P_c_Tarski_OPartialOrder-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_v_cl-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V1,V6,V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V1,V6,V9), V2 == V9 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #36: exists( #17, #33 ), references = 1, size of lhs = 10:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_tc_prod-{F}(V1,V1,V3), P_v_c-{F}(V4), P_c_Tarski_OPartialOrder-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_v_cl-{F}(V7), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V1,V6,V8) | P_c_Tarski_Opotype_Oorder-{T}(V7,V1,V6,V2)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #41: mergings( V5 == V8, V6 == V9; #38 ), references = 1, size of lhs = 8:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_v_r-{F}(V4), P_v_c-{F}(V5), P_c_Pair-{F}(V0,V5,V2,V2,V6), P_c_Pair-{F}(V1,V5,V2,V2,V6) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #43: exists( #7, #38 ), references = 1, size of lhs = 6:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_v_r-{F}(V3), P_v_c-{F}(V4) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #45: exists( #12, #42 ), references = 1, size of lhs = 5:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2), P_v_c-{F}(V3) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #47: exists( #13, #44 ), references = 1, size of lhs = 4:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #49: exists( #11, #46 ), references = 1, size of lhs = 3:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #51: exists( #10, #48 ), references = 1, size of lhs = 2:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V0) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #53: exists( #7, #32 ), references = 1, size of lhs = 13:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_c-{F}(V5), P_c_Pair-{F}(V0,V5,V2,V2,V6), P_c_Tarski_OPartialOrder-{F}(V7), P_tc_Product__Type_Ounit-{F}(V8), P_v_cl-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V8,V10), P_c_Tarski_Opotype_Oorder-{F}(V9,V2,V8,V11), V3 == V11 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #55: exists( #7, #52 ), references = 1, size of lhs = 12:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_c-{F}(V5), P_c_Tarski_OPartialOrder-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_v_cl-{F}(V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V7,V9), P_c_Tarski_Opotype_Oorder-{F}(V8,V2,V7,V10), V3 == V10 | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #57: exists( #17, #54 ), references = 1, size of lhs = 10:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_c-{F}(V5), P_c_Tarski_OPartialOrder-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_v_cl-{F}(V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V7,V9) | P_c_Tarski_Opotype_Oorder-{T}(V8,V2,V7,V3)
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #87: mergings( V7 == V15, V15 == V22, V22 == V27, V8 == V16, V16 == V23, V23 == V4, V5 == V9, V6 == V10, V9 == V17, V10 == V18, V11 == V19, V17 == V24, V18 == V25, V19 == V26, V24 == V28, V25 == V29, V26 == V30, V12 == V21; #68 ), references = 1, size of lhs = 15:
% 0.49/0.68 P_v_cl-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), P_tc_Product__Type_Ounit-{F}(V2), P_v_a-{F}(V3), P_v_b-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V2,V6), P_v_r-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V0,V5,V2,V7), P_tc_prod-{F}(V5,V5,V8), P_v_c-{F}(V9), P_c_Pair-{F}(V4,V9,V5,V5,V10), P_c_Pair-{F}(V3,V9,V5,V5,V11), P_c_Pair-{F}(V3,V12,V5,V5,V11), P_c_Pair-{F}(V4,V12,V5,V5,V10) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #99: mergings( V13 == V16, V16 == V18, V18 == V21, V4 == V7, V7 == V10, V10 == V19, V12 == V15, V15 == V17, V17 == V20, V5 == V9; #88 ), references = 1, size of lhs = 12:
% 0.49/0.68 P_v_cl-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), P_tc_Product__Type_Ounit-{F}(V2), P_v_a-{F}(V3), P_v_b-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V2,V6), P_v_r-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V0,V5,V2,V7), P_tc_prod-{F}(V5,V5,V8), P_v_c-{F}(V9), P_c_Pair-{F}(V3,V9,V5,V5,V10) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #108: mergings( V4 == V7, V7 == V10, V10 == V16, V12 == V14, V14 == V15, V15 == V17, V5 == V9; #100 ), references = 1, size of lhs = 11:
% 0.49/0.68 P_v_cl-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), P_tc_Product__Type_Ounit-{F}(V2), P_v_a-{F}(V3), P_v_b-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V2,V6), P_v_r-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V0,V5,V2,V7), P_tc_prod-{F}(V5,V5,V8), P_v_c-{F}(V9) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #122: mergings( V3 == V12, V4 == V13, V7 == V9, V9 == V11, V11 == V18, V14 == V15, V15 == V16, V16 == V17, V17 == V19, V5 == V20, V6 == V10; #110 ), references = 1, size of lhs = 9:
% 0.49/0.68 P_v_cl-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), P_tc_Product__Type_Ounit-{F}(V2), P_v_a-{F}(V3), P_v_b-{F}(V4), P_t_a-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V5,V5,V7), P_v_c-{F}(V8) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #131: mergings( V2 == V12, V3 == V13, V6 == V8, V8 == V11, V11 == V14, V4 == V15, V5 == V9; #123 ), references = 1, size of lhs = 8:
% 0.49/0.68 P_v_cl-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), P_tc_Product__Type_Ounit-{F}(V2), P_v_a-{F}(V3), P_v_b-{F}(V4), P_t_a-{F}(V5), P_v_r-{F}(V6), P_v_c-{F}(V7) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #140: mergings( V1 == V10, V2 == V11, V5 == V6, V6 == V9, V9 == V13, V3 == V14, V4 == V7; #132 ), references = 1, size of lhs = 7:
% 0.49/0.68 P_c_Tarski_OPartialOrder-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_v_a-{F}(V2), P_v_b-{F}(V3), P_t_a-{F}(V4), P_v_r-{F}(V5), P_v_c-{F}(V6) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #149: mergings( V1 == V9, V2 == V10, V5 == V6, V6 == V8, V8 == V12, V3 == V13, V4 == V7; #141 ), references = 1, size of lhs = 6:
% 0.49/0.68 P_c_Tarski_OPartialOrder-{F}(V0), P_v_a-{F}(V1), P_v_b-{F}(V2), P_t_a-{F}(V3), P_v_r-{F}(V4), P_v_c-{F}(V5) | FALSE
% 0.49/0.68 (used 0 times, uses = {})
% 0.49/0.68
% 0.49/0.68 #157: mergings( V1 == V7, V2 == V8, V4 == V5, V5 == V6, V6 == V10, V3 == V11; #150 ), references = 1, size of lhs = 5:
% 0.49/0.68 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_v_c-{F}(V4) | FALSE
% 0.49/0.69 (used 0 times, uses = {})
% 0.49/0.69
% 0.49/0.69 #164: mergings( V1 == V6, V2 == V7, V3 == V4, V4 == V5, V5 == V9; #158 ), references = 1, size of lhs = 4:
% 0.49/0.69 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3) | FALSE
% 0.49/0.69 (used 0 times, uses = {})
% 0.49/0.69
% 0.49/0.69 #168: mergings( V1 == V3, V2 == V4; #165 ), references = 1, size of lhs = 3:
% 0.49/0.69 P_v_a-{F}(V0), P_v_b-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.49/0.69 (used 0 times, uses = {})
% 0.49/0.69
% 0.49/0.69 #172: mergings( V1 == V3, V2 == V4; #169 ), references = 1, size of lhs = 2:
% 0.49/0.69 P_v_a-{F}(V0), P_v_b-{F}(V1) | FALSE
% 0.49/0.69 (used 0 times, uses = {})
% 0.49/0.69
% 0.49/0.69 #175: mergings( V1 == V2; #173 ), references = 1, size of lhs = 1:
% 0.49/0.69 P_v_a-{F}(V0) | FALSE
% 0.49/0.69 (used 0 times, uses = {})
% 0.49/0.69
% 0.49/0.69 #177: exists( #8, #173 ), references = 1, size of lhs = 0:
% 0.49/0.69 FALSE | FALSE
% 0.49/0.69 (used 0 times, uses = {})
% 0.49/0.69
% 0.49/0.69 number of learnt formulas = 25
% 0.49/0.69
% 0.49/0.69
% 0.49/0.69 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.69
% 0.49/0.69 randbase = 1
%------------------------------------------------------------------------------