TSTP Solution File: LAT259-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 20:36:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.65 GeoParameters:
% 0.47/0.65
% 0.47/0.65 tptp_input = 1
% 0.47/0.65 tptp_output = 0
% 0.47/0.65 nonempty = 1
% 0.47/0.65 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65
% 0.47/0.65 RuleSystem INPUT:
% 0.47/0.65
% 0.47/0.65 Initial Rules:
% 0.47/0.65 #0: input, references = 4, size of lhs = 6:
% 0.47/0.65 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)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #1: input, references = 4, size of lhs = 7:
% 0.47/0.65 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_c_Pair-{F}(V1,V0,V2,V2,V6) | c_in-{T}(V6,V4,V5)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #2: input, references = 4, size of lhs = 7:
% 0.47/0.65 P_v_a-{F}(V1), P_v_b-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V1,V1,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_c_Pair-{F}(V1,V1,V2,V2,V6) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #3: input, references = 4, size of lhs = 14:
% 0.47/0.65 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_c_Pair-{F}(V1,V0,V2,V2,V6), P_c_Pair-{F}(V7,V8,V9,V9,V11), P_tc_prod-{F}(V9,V9,V12), P_c_Pair-{F}(V8,V7,V9,V9,V13), c_Relation_Oantisym-{F}(V10,V9), c_in-{F}(V11,V10,V12), c_in-{F}(V13,V10,V12), V8 == V7 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #4: input, references = 4, size of lhs = 12:
% 0.47/0.65 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_c_Pair-{F}(V1,V0,V2,V2,V6), P_c_Tarski_OPartialOrder-{F}(V7), P_tc_Product__Type_Ounit-{F}(V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V9,V8,V11), P_c_Tarski_Opotype_Oorder-{F}(V10,V9,V8,V12), c_in-{F}(V10,V7,V11) | c_Relation_Oantisym-{T}(V12,V9)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #5: input, references = 4, size of lhs = 11:
% 0.47/0.65 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_c_Pair-{F}(V1,V0,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) | c_in-{T}(V9,V7,V10)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #6: input, references = 4, size of lhs = 13:
% 0.47/0.65 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_c_Pair-{F}(V1,V0,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), V4 == V11 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #7: input, references = 8, size of lhs = 4:
% 0.47/0.65 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #8: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_v_a-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #9: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_v_b-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #10: input, references = 5, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #11: input, references = 5, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #12: input, references = 5, size of lhs = 2:
% 0.47/0.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #13: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #14: input, references = 4, size of lhs = 2:
% 0.47/0.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #15: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #16: input, references = 4, size of lhs = 3:
% 0.47/0.65 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #17: input, references = 4, size of lhs = 0:
% 0.47/0.65 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 number of initial rules = 18
% 0.47/0.65
% 0.47/0.65 Simplifiers:
% 0.47/0.65 #18: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #19: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_v_a-{F}(V0), P_v_a-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #20: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_v_b-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #21: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #22: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #23: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #24: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #25: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 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
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #26: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #27: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #28: unsound, references = 3, size of lhs = 3:
% 0.47/0.65 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 number of simplifiers = 11
% 0.47/0.65
% 0.47/0.65 Learnt:
% 0.47/0.65 #31: exists( #7, #2 ), references = 1, size of lhs = 5:
% 0.47/0.65 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) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #33: exists( #12, #29 ), references = 1, size of lhs = 4:
% 0.47/0.65 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1), P_v_r-{F}(V2) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #35: exists( #11, #32 ), references = 1, size of lhs = 3:
% 0.47/0.65 P_v_a-{F}(V0), P_v_b-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #37: exists( #10, #34 ), references = 2, size of lhs = 2:
% 0.47/0.65 P_v_a-{F}(V0), P_v_b-{F}(V0) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #39: exists( #7, #6 ), references = 1, size of lhs = 12:
% 0.47/0.65 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_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), V4 == V10 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #41: exists( #7, #38 ), references = 1, size of lhs = 11:
% 0.47/0.65 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_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}(V2,V6,V8), P_c_Tarski_Opotype_Oorder-{F}(V7,V2,V6,V9), V3 == V9 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #43: exists( #16, #40 ), references = 1, size of lhs = 9:
% 0.47/0.65 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_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}(V2,V6,V8) | P_c_Tarski_Opotype_Oorder-{T}(V7,V2,V6,V3)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #63: mergings( V4 == V7, V7 == V13, V13 == V18, V18 == V21, V5 == V8, V8 == V14, V14 == V19, V9 == V15, V15 == V20, V20 == V6, V10 == V17; #51 ), references = 1, size of lhs = 13:
% 0.47/0.65 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), V3 == V4, P_t_a-{F}(V5), P_c_Tarski_Opotype_Oorder-{F}(V0,V5,V2,V6), P_v_r-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V2,V7), P_tc_prod-{F}(V5,V5,V8), P_c_Pair-{F}(V3,V4,V5,V5,V9), c_in-{F}(V9,V6,V8) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #73: mergings( V5 == V6, V6 == V9, V9 == V15, V4 == V12, V12 == V14, V14 == V16, V7 == V11; #65 ), references = 1, size of lhs = 11:
% 0.47/0.65 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), V3 == V4, P_t_a-{F}(V5), P_c_Tarski_Opotype_Oorder-{F}(V0,V5,V2,V6), P_v_r-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V2,V7), P_tc_prod-{F}(V5,V5,V8) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #86: mergings( V3 == V11, V4 == V12, V6 == V7, V7 == V9, V9 == V17, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V5 == V10; #75 ), references = 1, size of lhs = 9:
% 0.47/0.65 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), V3 == V4, P_t_a-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V5,V5,V7) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #94: mergings( V2 == V11, V3 == V12, V5 == V6, V6 == V8, V8 == V13, V4 == V9; #87 ), references = 1, size of lhs = 8:
% 0.47/0.65 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), V3 == V4, P_t_a-{F}(V5), P_v_r-{F}(V6) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #102: mergings( V1 == V9, V2 == V10, V4 == V5, V5 == V6, V6 == V12, V3 == V7; #95 ), references = 1, size of lhs = 7:
% 0.47/0.65 P_c_Tarski_OPartialOrder-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_v_a-{F}(V2), P_v_b-{F}(V3), V2 == V3, P_t_a-{F}(V4), P_v_r-{F}(V5) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #110: mergings( V1 == V8, V2 == V9, V4 == V5, V5 == V6, V6 == V11, V3 == V7; #103 ), references = 1, size of lhs = 6:
% 0.47/0.65 P_c_Tarski_OPartialOrder-{F}(V0), P_v_a-{F}(V1), P_v_b-{F}(V2), V1 == V2, P_t_a-{F}(V3), P_v_r-{F}(V4) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #117: mergings( V1 == V6, V2 == V7, V3 == V4, V4 == V5, V5 == V9; #111 ), references = 1, size of lhs = 5:
% 0.47/0.65 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_t_a-{F}(V2), P_v_r-{F}(V3) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #121: mergings( V1 == V3, V2 == V4; #118 ), references = 1, size of lhs = 4:
% 0.47/0.65 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1, P_t_a-{F}(V2) | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #125: mergings( V1 == V3, V2 == V4; #122 ), references = 1, size of lhs = 3:
% 0.47/0.65 P_v_a-{F}(V0), P_v_b-{F}(V1), V0 == V1 | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #128: mergings( V1 == V2; #126 ), references = 1, size of lhs = 1:
% 0.47/0.65 P_v_a-{F}(V0) | P_v_b-{T}(V0)
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 #131: exists( #8, #129 ), references = 1, size of lhs = 0:
% 0.47/0.65 FALSE | FALSE
% 0.47/0.65 (used 0 times, uses = {})
% 0.47/0.65
% 0.47/0.65 number of learnt formulas = 18
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65
% 0.47/0.65 randbase = 1
%------------------------------------------------------------------------------