TSTP Solution File: LAT263-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:08:08 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 20:02:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 GeoParameters:
% 0.19/0.53
% 0.19/0.53 tptp_input = 1
% 0.19/0.53 tptp_output = 0
% 0.19/0.53 nonempty = 1
% 0.19/0.53 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 RuleSystem INPUT:
% 0.19/0.53
% 0.19/0.53 Initial Rules:
% 0.19/0.53 #0: input, references = 5, size of lhs = 4:
% 0.19/0.53 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)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #1: input, references = 5, size of lhs = 7:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), c_in-{F}(V5,V1,V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #2: input, references = 4, size of lhs = 9:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), V1 == V7 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #3: input, references = 5, size of lhs = 17:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), P_c_Tarski_OCompleteLattice-{F}(V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V11,V6,V12), P_c_Tarski_Opotype_Opset-{F}(V10,V11,V6,V13), P_tc_set-{F}(V11,V14), c_in-{F}(V10,V8,V12), c_in-{F}(V10,V9,V12), P_c_Tarski_Olub-{F}(V15,V10,V11,V16), c_lessequals-{F}(V15,V13,V14) | c_in-{T}(V16,V13,V11)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #4: input, references = 5, size of lhs = 12:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), P_c_Tarski_OCompleteLattice-{F}(V8), P_c_Tarski_OPartialOrder-{F}(V9), P_c_Tarski_Odual-{F}(V4,V2,V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V11) | c_in-{T}(V10,V8,V11)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #5: input, references = 4, size of lhs = 12:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), P_c_Tarski_OCompleteLattice-{F}(V8), P_c_Tarski_OPartialOrder-{F}(V9), P_c_Tarski_Odual-{F}(V4,V2,V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V11) | c_in-{T}(V10,V9,V11)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #6: input, references = 4, size of lhs = 16:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), P_c_Tarski_OCompleteLattice-{F}(V8), P_c_Tarski_OPartialOrder-{F}(V9), P_c_Tarski_Odual-{F}(V4,V2,V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V11), P_c_Tarski_Oglb-{F}(V14,V12,V13,V15), P_c_Tarski_Odual-{F}(V12,V13,V16), P_c_Tarski_Olub-{F}(V14,V16,V13,V17), V15 == V17 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #7: input, references = 4, size of lhs = 16:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), P_c_Tarski_OCompleteLattice-{F}(V8), P_c_Tarski_OPartialOrder-{F}(V9), P_c_Tarski_Odual-{F}(V4,V2,V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V11), P_c_Tarski_Odual-{F}(V12,V13,V14), P_c_Tarski_Opotype_Opset-{F}(V14,V13,V6,V15), P_c_Tarski_Opotype_Opset-{F}(V12,V13,V6,V16), V15 == V16 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #8: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #9: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #10: input, references = 6, size of lhs = 1:
% 0.19/0.53 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #11: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #12: input, references = 6, size of lhs = 3:
% 0.19/0.53 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Oglb-{T}(V0,V1,V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #13: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #14: input, references = 6, size of lhs = 3:
% 0.19/0.53 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #15: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #16: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_c_Tarski_OCompleteLattice-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #17: input, references = 6, size of lhs = 2:
% 0.19/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #18: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #19: input, references = 5, size of lhs = 3:
% 0.19/0.53 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Olub-{T}(V0,V1,V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #20: input, references = 6, size of lhs = 2:
% 0.19/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Tarski_Odual-{T}(V0,V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of initial rules = 21
% 0.19/0.53
% 0.19/0.53 Simplifiers:
% 0.19/0.53 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Tarski_Oglb-{F}(V0,V1,V2,V3), P_c_Tarski_Oglb-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Tarski_OCompleteLattice-{F}(V0), P_c_Tarski_OCompleteLattice-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 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
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Tarski_Olub-{F}(V0,V1,V2,V3), P_c_Tarski_Olub-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Tarski_Odual-{F}(V0,V1,V2), P_c_Tarski_Odual-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of simplifiers = 15
% 0.19/0.53
% 0.19/0.53 Learnt:
% 0.19/0.53 #38: exists( #14, #6 ), references = 1, size of lhs = 15:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_OCompleteLattice-{F}(V7), P_c_Tarski_OPartialOrder-{F}(V8), P_c_Tarski_Odual-{F}(V4,V2,V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V10), P_c_Tarski_Odual-{F}(V11,V12,V13), P_c_Tarski_Oglb-{F}(V14,V11,V12,V15), P_c_Tarski_Olub-{F}(V14,V13,V12,V16), V15 == V16 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #40: exists( #12, #36 ), references = 2, size of lhs = 14:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_c_Tarski_OPartialOrder-{F}(V7), P_c_Tarski_Odual-{F}(V4,V2,V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V9), P_c_Tarski_Odual-{F}(V10,V11,V12), P_c_Tarski_Oglb-{F}(V13,V10,V11,V14), P_c_Tarski_Olub-{F}(V13,V12,V11,V15), V14 == V15 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #42: exists( #19, #39 ), references = 2, size of lhs = 12:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_c_Tarski_OPartialOrder-{F}(V7), P_c_Tarski_Odual-{F}(V4,V2,V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V5,V9), P_c_Tarski_Odual-{F}(V10,V11,V12), P_c_Tarski_Oglb-{F}(V13,V10,V11,V14) | P_c_Tarski_Olub-{T}(V13,V12,V11,V14)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #44: exists( #14, #2 ), references = 2, size of lhs = 7:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6) | P_c_Tarski_Opotype_Opset-{T}(V4,V2,V6,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #47: exists( #14, #7 ), references = 2, size of lhs = 14:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_c_Tarski_Oglb-{F}(V0,V4,V2,V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V4,V2,V6,V7), P_c_Tarski_OCompleteLattice-{F}(V8), P_c_Tarski_OPartialOrder-{F}(V9), P_c_Tarski_Odual-{F}(V4,V2,V10), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V11), P_c_Tarski_Odual-{F}(V12,V13,V14), P_c_Tarski_Opotype_Opset-{F}(V12,V13,V6,V15) | P_c_Tarski_Opotype_Opset-{T}(V14,V13,V6,V15)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #77: mergings( V4 == V0, V5 == V14, V14 == V16, V16 == V19, V19 == V22, V23 == V24, V24 == V25, V25 == V27, V27 == V31, V31 == V32, V6 == V2, V7 == V32, V8 == V1, V9 == V20, V10 == V17, V17 == V21, V13 == V28, V28 == V29, V11 == V15, V15 == V18, V18 == V21, V12 == V26, V26 == V30; #53 ), references = 1, size of lhs = 11:
% 0.19/0.53 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), c_lessequals-{F}(V2,V3,V6), P_tc_set-{F}(V4,V6), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V4,V8) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #98: mergings( V3 == V17, V4 == V10, V10 == V12, V12 == V15, V15 == V18, V5 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V6 == V25, V7 == V13, V13 == V16, V8 == V11, V11 == V14, V14 == V16, V9 == V26, V26 == V27; #78 ), references = 1, size of lhs = 10:
% 0.19/0.53 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), c_lessequals-{F}(V2,V3,V5), P_tc_set-{F}(V4,V5), P_v_cl-{F}(V6), P_c_Tarski_Odual-{F}(V6,V4,V7) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #116: mergings( V3 == V15, V4 == V7, V7 == V9, V9 == V12, V12 == V16, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V5 == V10, V10 == V14, V6 == V8, V8 == V11, V11 == V14; #99 ), references = 1, size of lhs = 9:
% 0.19/0.53 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), c_lessequals-{F}(V2,V3,V5), P_tc_set-{F}(V4,V5), P_v_cl-{F}(V6) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #129: mergings( V2 == V14, V3 == V6, V6 == V8, V8 == V11, V11 == V15, V4 == V9, V9 == V13, V5 == V7, V7 == V10, V10 == V13; #118 ), references = 1, size of lhs = 7:
% 0.19/0.53 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_cl-{F}(V5) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #131: exists( #17, #40 ), references = 1, size of lhs = 13:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_c_Tarski_OPartialOrder-{F}(V7), P_c_Tarski_Odual-{F}(V4,V2,V8), P_c_Tarski_Odual-{F}(V9,V10,V11), P_c_Tarski_Oglb-{F}(V12,V9,V10,V13), P_c_Tarski_Olub-{F}(V12,V11,V10,V14), V13 == V14 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #133: exists( #20, #130 ), references = 1, size of lhs = 12:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_cl-{F}(V4), P_tc_Product__Type_Ounit-{F}(V5), P_c_Tarski_OCompleteLattice-{F}(V6), P_c_Tarski_OPartialOrder-{F}(V7), P_c_Tarski_Odual-{F}(V8,V9,V10), P_c_Tarski_Oglb-{F}(V11,V8,V9,V12), P_c_Tarski_Olub-{F}(V11,V10,V9,V13), V12 == V13 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #135: exists( #10, #132 ), references = 1, size of lhs = 11:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_c_Tarski_OPartialOrder-{F}(V6), P_c_Tarski_Odual-{F}(V7,V8,V9), P_c_Tarski_Oglb-{F}(V10,V7,V8,V11), P_c_Tarski_Olub-{F}(V10,V9,V8,V12), V11 == V12 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #137: exists( #19, #134 ), references = 2, size of lhs = 9:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_OCompleteLattice-{F}(V5), P_c_Tarski_OPartialOrder-{F}(V6), P_c_Tarski_Odual-{F}(V7,V8,V9), P_c_Tarski_Oglb-{F}(V10,V7,V8,V11) | P_c_Tarski_Olub-{T}(V10,V9,V8,V11)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #168: mergings( V4 == V0, V5 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V22, V23 == V24, V24 == V25, V25 == V26, V26 == V28, V28 == V32, V32 == V33, V6 == V2, V7 == V1, V8 == V19, V9 == V14, V14 == V16, V16 == V20, V29 == V30, V10 == V12, V12 == V17, V17 == V21, V27 == V31; #144 ), references = 1, size of lhs = 11:
% 0.19/0.53 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), c_lessequals-{F}(V3,V4,V7), P_tc_set-{F}(V5,V7), P_v_cl-{F}(V8), P_c_Tarski_Odual-{F}(V8,V5,V9) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #192: mergings( V3 == V20, V4 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V21, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V5 == V0, V6 == V29, V7 == V1, V8 == V13, V13 == V15, V15 == V18, V9 == V11, V11 == V16, V16 == V19, V30 == V31; #169 ), references = 1, size of lhs = 10:
% 0.19/0.53 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), c_lessequals-{F}(V3,V4,V6), P_tc_set-{F}(V5,V6), P_v_cl-{F}(V7), P_c_Tarski_Odual-{F}(V7,V5,V8) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #215: mergings( V3 == V21, V4 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V22, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V5 == V1, V6 == V0, V7 == V18, V8 == V13, V13 == V15, V15 == V19, V9 == V11, V11 == V16, V16 == V20; #193 ), references = 1, size of lhs = 9:
% 0.19/0.53 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), c_lessequals-{F}(V3,V4,V6), P_tc_set-{F}(V5,V6), P_v_cl-{F}(V7) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #233: mergings( V2 == V20, V3 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V21, V4 == V0, V5 == V22, V6 == V17, V7 == V12, V12 == V14, V14 == V18, V8 == V10, V10 == V15, V15 == V19; #217 ), references = 1, size of lhs = 7:
% 0.19/0.53 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_cl-{F}(V6) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #247: mergings( V1 == V15, V2 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V16, V3 == V17, V4 == V18, V5 == V13, V6 == V9, V9 == V11, V11 == V14; #234 ), references = 1, size of lhs = 6:
% 0.19/0.53 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_cl-{F}(V5) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #258: mergings( V1 == V11, V2 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V3 == V13, V4 == V14, V5 == V10; #248 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_tc_Product__Type_Ounit-{F}(V0), P_v_S-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), P_v_cl-{F}(V4) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #268: mergings( V1 == V9, V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V3 == V11, V4 == V12; #259 ), references = 1, size of lhs = 4:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #277: mergings( V1 == V8, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V3 == V10; #269 ), references = 1, size of lhs = 3:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #285: mergings( V1 == V7, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #278 ), references = 1, size of lhs = 2:
% 0.19/0.53 P_v_S-{F}(V0), P_v_A-{F}(V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #288: mergings( V1 == V2; #286 ), references = 1, size of lhs = 1:
% 0.19/0.53 P_v_S-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #290: exists( #8, #286 ), references = 1, size of lhs = 0:
% 0.19/0.53 FALSE | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of learnt formulas = 24
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 randbase = 1
%------------------------------------------------------------------------------