%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 : Tue May 5 07:01:14 PM UTC 2026
% Result : Theorem 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 11:33:06 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 GeoParameters:
% 0.16/0.34
% 0.16/0.34 tptp_input = 1
% 0.16/0.34 tptp_output = 0
% 0.16/0.34 nonempty = 1
% 0.16/0.34 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.16/0.34
% 0.16/0.34
% 0.16/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34
% 0.16/0.34 RuleSystem INPUT:
% 0.16/0.34
% 0.16/0.34 Initial Rules:
% 0.16/0.34 #0: input, references = 3, size of lhs = 3:
% 0.16/0.34 P_s-{F}(V0,V1), P_proj1S-{F}(V1,V2), V2 == V0 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #1: input, references = 3, size of lhs = 2:
% 0.16/0.34 P_z-{F}(V2), P_s-{F}(V1,V2) | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #2: input, references = 4, size of lhs = 3:
% 0.16/0.34 P_z-{F}(V0), P_x2-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #3: input, references = 3, size of lhs = 6:
% 0.16/0.34 P_z-{F}(V0), P_s-{F}(V2,V3), P_x2-{F}(V3,V1,V4), P_x2-{F}(V2,V1,V5), P_s-{F}(V5,V6), V4 == V6 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #4: input, references = 4, size of lhs = 2:
% 0.16/0.34 P_z-{F}(V0), P_x2-{F}(V1,V1,V1) | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #5: input, references = 3, size of lhs = 1:
% 0.16/0.34 #-{F} V0 | EXISTS V1: P_proj1S-{T}(V0,V1)
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #6: input, references = 3, size of lhs = 1:
% 0.16/0.34 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #7: input, references = 4, size of lhs = 0:
% 0.16/0.34 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #8: input, references = 4, size of lhs = 2:
% 0.16/0.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_x2-{T}(V0,V1,V2)
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 number of initial rules = 9
% 0.16/0.34
% 0.16/0.34 Simplifiers:
% 0.16/0.34 #9: unsound, references = 3, size of lhs = 3:
% 0.16/0.34 P_proj1S-{F}(V0,V1), P_proj1S-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #10: unsound, references = 3, size of lhs = 3:
% 0.16/0.34 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #11: unsound, references = 3, size of lhs = 3:
% 0.16/0.34 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #12: unsound, references = 3, size of lhs = 3:
% 0.16/0.34 P_x2-{F}(V0,V1,V2), P_x2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 number of simplifiers = 4
% 0.16/0.34
% 0.16/0.34 Learnt:
% 0.16/0.34 #14: exists( #8, #2 ), references = 1, size of lhs = 2:
% 0.16/0.34 P_z-{F}(V0), #-{F} V1 | P_x2-{T}(V0,V1,V1)
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 #17: exists( #7, #15 ), references = 1, size of lhs = 0:
% 0.16/0.34 FALSE | FALSE
% 0.16/0.34 (used 0 times, uses = {})
% 0.16/0.34
% 0.16/0.34 number of learnt formulas = 2
% 0.16/0.34
% 0.16/0.34
% 0.16/0.34 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34
% 0.16/0.34 randbase = 1
%------------------------------------------------------------------------------