%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX204+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 0.54s 0.78s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX204+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 11:29:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.54/0.78 GeoParameters:
% 0.54/0.78
% 0.54/0.78 tptp_input = 1
% 0.54/0.78 tptp_output = 0
% 0.54/0.78 nonempty = 1
% 0.54/0.78 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.78 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.54/0.78
% 0.54/0.78
% 0.54/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.78
% 0.54/0.78 RuleSystem INPUT:
% 0.54/0.78
% 0.54/0.78 Initial Rules:
% 0.54/0.78 #0: input, references = 6, size of lhs = 3:
% 0.54/0.78 P_s-{F}(V0,V1), P_proj1S-{F}(V1,V2), V2 == V0 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #1: input, references = 4, size of lhs = 2:
% 0.54/0.78 P_z-{F}(V2), P_s-{F}(V1,V2) | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #2: input, references = 4, size of lhs = 3:
% 0.54/0.78 P_z-{F}(V0), P_x2-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #3: input, references = 5, size of lhs = 6:
% 0.54/0.78 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
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #4: input, references = 4, size of lhs = 3:
% 0.54/0.78 P_z-{F}(V0), P_x22-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #5: input, references = 5, size of lhs = 6:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V2,V3), P_x22-{F}(V3,V1,V4), P_x22-{F}(V2,V1,V5), P_x2-{F}(V1,V5,V6), V4 == V6 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #6: input, references = 4, size of lhs = 3:
% 0.54/0.78 P_z-{F}(V0), P_x22-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #7: input, references = 4, size of lhs = 1:
% 0.54/0.78 #-{F} V0 | EXISTS V1: P_proj1S-{T}(V0,V1)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #8: input, references = 7, size of lhs = 1:
% 0.54/0.78 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #9: input, references = 4, size of lhs = 0:
% 0.54/0.78 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #10: input, references = 5, size of lhs = 2:
% 0.54/0.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_x2-{T}(V0,V1,V2)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #11: input, references = 7, size of lhs = 2:
% 0.54/0.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_x22-{T}(V0,V1,V2)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 number of initial rules = 12
% 0.54/0.78
% 0.54/0.78 Simplifiers:
% 0.54/0.78 #12: unsound, references = 3, size of lhs = 3:
% 0.54/0.78 P_proj1S-{F}(V0,V1), P_proj1S-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #13: unsound, references = 3, size of lhs = 3:
% 0.54/0.78 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #14: unsound, references = 3, size of lhs = 3:
% 0.54/0.78 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #15: unsound, references = 3, size of lhs = 3:
% 0.54/0.78 P_x2-{F}(V0,V1,V2), P_x2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #16: unsound, references = 3, size of lhs = 3:
% 0.54/0.78 P_x22-{F}(V0,V1,V2), P_x22-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 number of simplifiers = 5
% 0.54/0.78
% 0.54/0.78 Learnt:
% 0.54/0.78 #18: exists( #11, #6 ), references = 4, size of lhs = 2:
% 0.54/0.78 P_z-{F}(V0), #-{F} V1 | P_x22-{T}(V1,V1,V1)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #20: exists( #7, #0 ), references = 4, size of lhs = 1:
% 0.54/0.78 P_s-{F}(V0,V1) | P_proj1S-{T}(V1,V0)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #22: exists( #11, #4 ), references = 4, size of lhs = 2:
% 0.54/0.78 P_z-{F}(V0), #-{F} V1 | P_x22-{T}(V0,V1,V0)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #25: exists( #10, #2 ), references = 3, size of lhs = 2:
% 0.54/0.78 P_z-{F}(V0), #-{F} V1 | P_x2-{T}(V0,V1,V1)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #26: exists( #10, #5 ), references = 4, size of lhs = 4:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V1,V2), P_x22-{F}(V2,V3,V4), P_x22-{F}(V1,V3,V5) | P_x2-{T}(V3,V5,V4)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #28: exists( #10, #3 ), references = 5, size of lhs = 4:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V1,V2), P_x2-{F}(V1,V3,V4), P_s-{F}(V4,V5) | P_x2-{T}(V2,V3,V5)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #30: exists( #11, #5 ), references = 4, size of lhs = 4:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V1,V2), P_x22-{F}(V1,V3,V4), P_x2-{F}(V3,V4,V5) | P_x22-{T}(V2,V3,V5)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #33: exists( #8, #3 ), references = 1, size of lhs = 4:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V1,V2), P_x2-{F}(V2,V3,V4), P_x2-{F}(V1,V3,V5) | P_s-{T}(V5,V4)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #40: mergings( V3 == V4; #38 ), references = 3, size of lhs = 8:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V1,V2), P_s-{F}(V3,V4), P_x22-{F}(V2,V4,V5), P_x22-{F}(V1,V4,V6), P_x2-{F}(V3,V6,V7), P_proj1S-{F}(V5,V8), V8 == V7 | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #45: mergings( V2 == V3; #43 ), references = 1, size of lhs = 8:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V4,V5), P_x22-{F}(V5,V3,V6), P_x22-{F}(V4,V3,V7), P_x2-{F}(V1,V7,V8), P_proj1S-{F}(V6,V9) | P_s-{T}(V8,V9)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #80: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #71 ), references = 1, size of lhs = 4:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V0,V1), P_x2-{F}(V1,V0,V1), P_proj1S-{F}(V1,V2) | P_s-{T}(V1,V2)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #92: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V14 == V16; #72 ), references = 1, size of lhs = 7:
% 0.54/0.78 P_z-{F}(V0), P_s-{F}(V0,V1), P_x2-{F}(V1,V0,V1), P_s-{F}(V2,V1), P_x22-{F}(V1,V1,V3), P_x2-{F}(V2,V3,V1), P_proj1S-{F}(V3,V4) | P_s-{T}(V1,V4)
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #119: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V0; #109 ), references = 1, size of lhs = 1:
% 0.54/0.78 P_z-{F}(V0) | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 #121: exists( #9, #109 ), references = 1, size of lhs = 0:
% 0.54/0.78 FALSE | FALSE
% 0.54/0.78 (used 0 times, uses = {})
% 0.54/0.78
% 0.54/0.78 number of learnt formulas = 14
% 0.54/0.78
% 0.54/0.78
% 0.54/0.78 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.78
% 0.54/0.78 randbase = 1
%------------------------------------------------------------------------------