%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:08:11 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 20:29:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 GeoParameters:
% 0.18/0.43
% 0.18/0.43 tptp_input = 1
% 0.18/0.43 tptp_output = 0
% 0.18/0.43 nonempty = 1
% 0.18/0.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43
% 0.18/0.43 RuleSystem INPUT:
% 0.18/0.43
% 0.18/0.43 Initial Rules:
% 0.18/0.43 #0: input, references = 4, size of lhs = 3:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2) | c_in-{T}(V0,V1,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #1: input, references = 4, size of lhs = 7:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V0,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), c_in-{F}(V3,V4,V5) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #2: input, references = 4, size of lhs = 10:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V0,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_c_Pair-{F}(V8,V8,V7,V7,V9), P_tc_prod-{F}(V7,V7,V10), c_Relation_Orefl-{F}(V11,V6,V7), c_in-{F}(V8,V11,V7) | c_in-{T}(V9,V6,V10)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #3: input, references = 4, size of lhs = 10:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V0,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V7,V8), V1 == V8 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #4: input, references = 4, size of lhs = 14:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V0,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V7,V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V10,V7,V12), P_c_Tarski_Opotype_Opset-{F}(V11,V10,V7,V13), P_c_Tarski_Opotype_Oorder-{F}(V11,V10,V7,V14), c_in-{F}(V11,V9,V12) | c_Relation_Orefl-{T}(V13,V14,V10)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #5: input, references = 4, size of lhs = 11:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V0,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V7,V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V7,V10) | c_in-{T}(V6,V9,V10)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #6: input, references = 4, size of lhs = 13:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_c_Pair-{F}(V0,V0,V2,V2,V3), P_v_r-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_cl-{F}(V6), P_tc_Product__Type_Ounit-{F}(V7), P_c_Tarski_Opotype_Opset-{F}(V6,V2,V7,V8), P_c_Tarski_OPartialOrder-{F}(V9), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V7,V10), P_c_Tarski_Opotype_Oorder-{F}(V6,V2,V7,V11), V4 == V11 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #7: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #8: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_v_A-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #9: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #10: input, references = 6, size of lhs = 4:
% 0.18/0.43 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #11: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #12: input, references = 4, size of lhs = 2:
% 0.18/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #13: input, references = 4, size of lhs = 3:
% 0.18/0.43 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #14: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #15: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #16: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #17: input, references = 4, size of lhs = 2:
% 0.18/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #18: input, references = 4, size of lhs = 3:
% 0.18/0.43 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of initial rules = 19
% 0.18/0.43
% 0.18/0.43 Simplifiers:
% 0.18/0.43 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 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
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of simplifiers = 12
% 0.18/0.43
% 0.18/0.43 Learnt:
% 0.18/0.43 #33: exists( #10, #3 ), references = 1, size of lhs = 9:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V6,V7), V1 == V7 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #35: exists( #13, #31 ), references = 1, size of lhs = 7:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6) | P_c_Tarski_Opotype_Opset-{T}(V5,V2,V6,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #37: exists( #10, #6 ), references = 1, size of lhs = 12:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V6,V7), P_c_Tarski_OPartialOrder-{F}(V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V9), P_c_Tarski_Opotype_Oorder-{F}(V5,V2,V6,V10), V3 == V10 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #39: exists( #18, #36 ), references = 1, size of lhs = 10:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), P_v_r-{F}(V3), P_tc_prod-{F}(V2,V2,V4), P_v_cl-{F}(V5), P_tc_Product__Type_Ounit-{F}(V6), P_c_Tarski_Opotype_Opset-{F}(V5,V2,V6,V7), P_c_Tarski_OPartialOrder-{F}(V8), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V6,V9) | P_c_Tarski_Opotype_Oorder-{T}(V5,V2,V6,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #57: mergings( V3 == V10, V10 == V17, V17 == V20, V4 == V11, V11 == V18, V18 == V21, V5 == V12, V12 == V19, V19 == V22, V6 == V13, V15 == V23, V7 == V14, V8 == V23; #43 ), references = 1, size of lhs = 12:
% 0.18/0.43 P_v_cl-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_x-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V5,V1,V6), P_v_r-{F}(V7), P_c_Tarski_Opotype_Oorder-{F}(V0,V5,V1,V7), P_tc_prod-{F}(V5,V5,V8), P_c_Tarski_Opotype_Opset-{F}(V0,V5,V1,V9), c_in-{F}(V3,V9,V5) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #77: mergings( V3 == V15, V4 == V6, V6 == V9, V9 == V13, V13 == V16, V7 == V10, V10 == V14, V14 == V24, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V18 == V20, V20 == V26, V8 == V11, V22 == V26, V5 == V12; #59 ), references = 1, size of lhs = 10:
% 0.18/0.43 P_v_cl-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_x-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), P_v_r-{F}(V6), P_tc_prod-{F}(V5,V5,V7), P_c_Tarski_Opotype_Opset-{F}(V0,V5,V1,V8), c_in-{F}(V3,V8,V5) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #92: mergings( V2 == V5, V5 == V17, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V18, V4 == V9, V9 == V11, V11 == V16, V16 == V19, V7 == V14; #79 ), references = 1, size of lhs = 8:
% 0.18/0.43 P_v_cl-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_x-{F}(V3), P_v_A-{F}(V4), P_t_a-{F}(V5), c_in-{F}(V3,V4,V5), P_v_r-{F}(V6) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #105: mergings( V1 == V4, V4 == V14, V2 == V5, V5 == V6, V6 == V8, V8 == V12, V12 == V15, V3 == V7, V7 == V9, V9 == V13, V13 == V17; #93 ), references = 1, size of lhs = 7:
% 0.18/0.43 P_v_cl-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_v_x-{F}(V2), P_v_A-{F}(V3), P_t_a-{F}(V4), c_in-{F}(V2,V3,V4), P_v_r-{F}(V5) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #118: mergings( V1 == V4, V4 == V13, V2 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V14, V3 == V7, V7 == V9, V9 == V12, V12 == V16; #106 ), references = 1, size of lhs = 6:
% 0.18/0.43 P_v_cl-{F}(V0), P_v_x-{F}(V1), P_v_A-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_v_r-{F}(V4) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #131: mergings( V1 == V4, V4 == V12, V2 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V13, V3 == V7, V7 == V9, V9 == V11, V11 == V15; #119 ), references = 1, size of lhs = 5:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_v_r-{F}(V3) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #140: mergings( V1 == V3, V3 == V8, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #132 ), references = 1, size of lhs = 4:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #150: mergings( V1 == V3, V3 == V8, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #142 ), references = 1, size of lhs = 2:
% 0.18/0.43 P_v_x-{F}(V0), P_v_A-{F}(V1) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #154: mergings( V1 == V2, V2 == V3; #151 ), references = 1, size of lhs = 1:
% 0.18/0.43 P_v_x-{F}(V0) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #156: exists( #7, #151 ), references = 1, size of lhs = 0:
% 0.18/0.43 FALSE | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of learnt formulas = 14
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43
% 0.18/0.43 randbase = 1
%------------------------------------------------------------------------------