%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA023-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 05:57:47 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA023-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 : Sat Jul 23 00:24:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 GeoParameters:
% 0.19/0.44
% 0.19/0.44 tptp_input = 1
% 0.19/0.44 tptp_output = 0
% 0.19/0.44 nonempty = 1
% 0.19/0.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 RuleSystem INPUT:
% 0.19/0.44
% 0.19/0.44 Initial Rules:
% 0.19/0.44 #0: input, references = 4, size of lhs = 4:
% 0.19/0.44 P_c_0-{F}(V0), class_OrderedGroup_Ocomm__monoid__add-{F}(V1), P_c_plus-{F}(V0,V2,V1,V3), V3 == V2 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #1: input, references = 4, size of lhs = 5:
% 0.19/0.44 P_c_0-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), P_c_minus-{F}(V3,V2,V1,V5), P_c_plus-{F}(V4,V2,V1,V6), c_lessequals-{F}(V4,V5,V1) | c_lessequals-{T}(V6,V3,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #2: input, references = 4, size of lhs = 5:
% 0.19/0.44 P_c_0-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), P_c_plus-{F}(V4,V2,V1,V5), P_c_minus-{F}(V3,V2,V1,V6), c_lessequals-{F}(V5,V3,V1) | c_lessequals-{T}(V4,V6,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #3: input, references = 4, size of lhs = 4:
% 0.19/0.44 P_c_0-{F}(V0), class_Orderings_Oorder-{F}(V1), c_lessequals-{F}(V4,V3,V1), c_lessequals-{F}(V2,V4,V1) | c_lessequals-{T}(V2,V3,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #4: input, references = 4, size of lhs = 6:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5) | c_lessequals-{T}(V0,V5,V4)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #5: input, references = 4, size of lhs = 7:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6) | c_lessequals-{T}(V2,V6,V4)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #6: input, references = 4, size of lhs = 9:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6), P_c_minus-{F}(V6,V3,V4,V7), c_lessequals-{F}(V0,V7,V4) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #7: input, references = 4, size of lhs = 9:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6), P_c_minus-{F}(V6,V3,V4,V7), class_Orderings_Olinorder-{F}(V8) | class_Orderings_Oorder-{T}(V8)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #8: input, references = 4, size of lhs = 9:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6), P_c_minus-{F}(V6,V3,V4,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Ocomm__monoid__add-{T}(V8)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #9: input, references = 4, size of lhs = 9:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6), P_c_minus-{F}(V6,V3,V4,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_Orderings_Olinorder-{T}(V8)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #10: input, references = 5, size of lhs = 9:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6), P_c_minus-{F}(V6,V3,V4,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Opordered__ab__group__add-{T}(V8)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #11: input, references = 6, size of lhs = 8:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_f-{F}(V1,V6), P_c_minus-{F}(V6,V3,V4,V7) | class_Ring__and__Field_Oordered__idom-{T}(V4)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #12: input, references = 4, size of lhs = 3:
% 0.19/0.44 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #13: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #14: input, references = 7, size of lhs = 3:
% 0.19/0.44 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #15: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_v_k-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #16: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #17: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #18: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #19: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of initial rules = 20
% 0.19/0.44
% 0.19/0.44 Simplifiers:
% 0.19/0.44 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 class_OrderedGroup_Ocomm__monoid__add-{F}(V0), class_OrderedGroup_Ocomm__monoid__add-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_v_k-{F}(V0,V1), P_v_k-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of simplifiers = 14
% 0.19/0.44
% 0.19/0.44 Learnt:
% 0.19/0.44 #42: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #36 ), references = 1, size of lhs = 9:
% 0.19/0.44 P_v_x-{F}(V0), P_v_g-{F}(V0,V1), P_v_f-{F}(V0,V2), P_v_k-{F}(V0,V3), P_t_b-{F}(V4), P_c_minus-{F}(V3,V1,V4,V5), P_c_0-{F}(V6), P_c_plus-{F}(V6,V7,V4,V8), V8 == V7 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #49: mergings( V4 == V9, V9 == V0, V5 == V10, V6 == V11, V12 == V13; #43 ), references = 2, size of lhs = 8:
% 0.19/0.44 P_v_x-{F}(V0), P_v_g-{F}(V0,V1), P_v_f-{F}(V0,V2), P_v_k-{F}(V0,V3), P_t_b-{F}(V4), P_c_minus-{F}(V3,V1,V4,V5), P_c_0-{F}(V6), #-{F} V7 | P_c_plus-{T}(V6,V7,V4,V7)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #66: mergings( V4 == V7, V7 == V12, V12 == V13, V5 == V8, V6 == V9, V10 == V11, V8 == V14, V9 == V15, V11 == V16; #56 ), references = 2, size of lhs = 9:
% 0.19/0.44 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V3), P_v_f-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V5,V3,V0,V6), P_c_plus-{F}(V1,V3,V0,V7), c_lessequals-{F}(V7,V4,V0) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #99: mergings( V4 == V7, V7 == V11, V11 == V16, V16 == V17, V17 == V21, V21 == V22, V5 == V8, V6 == V9, V10 == V15, V8 == V12, V9 == V13, V14 == V15, V12 == V18, V13 == V19, V15 == V20, V18 == V23, V19 == V27, V1 == V24, V20 == V28, V0 == V25; #78 ), references = 1, size of lhs = 12:
% 0.19/0.44 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V3), P_v_f-{F}(V2,V4), c_lessequals-{F}(V5,V4,V0), P_v_k-{F}(V2,V6), P_c_minus-{F}(V6,V3,V0,V7), P_c_plus-{F}(V1,V3,V0,V8), P_c_minus-{F}(V5,V9,V0,V10), P_c_plus-{F}(V11,V9,V0,V8), c_lessequals-{F}(V11,V10,V0) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #120: mergings( V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V9 == V12, V12 == V7; #103 ), references = 1, size of lhs = 6:
% 0.19/0.44 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #130: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V2 == V0; #121 ), references = 1, size of lhs = 5:
% 0.19/0.44 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V3), P_v_k-{F}(V2,V4) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #139: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11; #131 ), references = 1, size of lhs = 4:
% 0.19/0.44 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #148: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10; #140 ), references = 1, size of lhs = 3:
% 0.19/0.44 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #157: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #149 ), references = 1, size of lhs = 2:
% 0.19/0.44 P_c_0-{F}(V0), P_v_x-{F}(V1) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #166: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #158 ), references = 1, size of lhs = 1:
% 0.19/0.44 P_c_0-{F}(V0) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #168: exists( #13, #158 ), references = 1, size of lhs = 0:
% 0.19/0.44 FALSE | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of learnt formulas = 11
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 randbase = 1
%------------------------------------------------------------------------------