%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 07:01:11 PM UTC 2026
% Result : Theorem 0.28s 0.45s
% Output : Refutation 0.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX186+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.16/0.34 % Computer : n028.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 09:37:30 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.28/0.45 GeoParameters:
% 0.28/0.45
% 0.28/0.45 tptp_input = 1
% 0.28/0.45 tptp_output = 0
% 0.28/0.45 nonempty = 1
% 0.28/0.45 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.45 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.28/0.45
% 0.28/0.45
% 0.28/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.45
% 0.28/0.45 RuleSystem INPUT:
% 0.28/0.45
% 0.28/0.45 Initial Rules:
% 0.28/0.45 #0: input, references = 4, size of lhs = 3:
% 0.28/0.45 P_cons-{F}(V0,V1,V2), P_head-{F}(V2,V3), V3 == V0 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #1: input, references = 4, size of lhs = 3:
% 0.28/0.45 P_cons-{F}(V0,V1,V2), P_tail-{F}(V2,V3), V3 == V1 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #2: input, references = 4, size of lhs = 2:
% 0.28/0.45 P_nil-{F}(V3), P_cons-{F}(V1,V2,V3) | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #3: input, references = 4, size of lhs = 4:
% 0.28/0.45 P_nil-{F}(V0), P_s-{F}(V1,V2), P_proj1S-{F}(V2,V3), V3 == V1 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #4: input, references = 3, size of lhs = 3:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V1) | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #5: input, references = 4, size of lhs = 5:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V3), P_drop-{F}(V3,V0,V4), V4 == V0 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #6: input, references = 4, size of lhs = 7:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V5), P_cons-{F}(V3,V4,V6), P_drop-{F}(V5,V6,V7), P_drop-{F}(V2,V4,V8), V7 == V8 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #7: input, references = 4, size of lhs = 4:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_drop-{F}(V1,V2,V3), V3 == V2 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #8: input, references = 5, size of lhs = 5:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_drop-{F}(V4,V2,V6), P_drop-{F}(V4,V3,V6), V2 == V3 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #9: input, references = 4, size of lhs = 1:
% 0.28/0.45 #-{F} V0 | EXISTS V1: P_head-{T}(V0,V1)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #10: input, references = 5, size of lhs = 2:
% 0.28/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_cons-{T}(V0,V1,V2)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #11: input, references = 4, size of lhs = 1:
% 0.28/0.45 #-{F} V0 | EXISTS V1: P_tail-{T}(V0,V1)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #12: input, references = 4, size of lhs = 0:
% 0.28/0.45 FALSE | EXISTS V0: P_nil-{T}(V0)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #13: input, references = 4, size of lhs = 1:
% 0.28/0.45 #-{F} V0 | EXISTS V1: P_proj1S-{T}(V0,V1)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #14: input, references = 4, size of lhs = 1:
% 0.28/0.45 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #15: input, references = 4, size of lhs = 0:
% 0.28/0.45 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #16: input, references = 7, size of lhs = 2:
% 0.28/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_drop-{T}(V0,V1,V2)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 number of initial rules = 17
% 0.28/0.45
% 0.28/0.45 Simplifiers:
% 0.28/0.45 #17: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_head-{F}(V0,V1), P_head-{F}(V0,V3), V1 == V3 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #18: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_cons-{F}(V0,V1,V2), P_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #19: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_tail-{F}(V0,V1), P_tail-{F}(V0,V3), V1 == V3 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #20: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_nil-{F}(V0), P_nil-{F}(V1), V0 == V1 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #21: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_proj1S-{F}(V0,V1), P_proj1S-{F}(V0,V3), V1 == V3 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #22: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #23: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #24: unsound, references = 3, size of lhs = 3:
% 0.28/0.45 P_drop-{F}(V0,V1,V2), P_drop-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 number of simplifiers = 8
% 0.28/0.45
% 0.28/0.45 Learnt:
% 0.28/0.45 #26: exists( #16, #5 ), references = 2, size of lhs = 3:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V3) | P_drop-{T}(V3,V0,V0)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #28: exists( #9, #0 ), references = 1, size of lhs = 1:
% 0.28/0.45 P_cons-{F}(V0,V1,V2) | P_head-{T}(V2,V0)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #30: exists( #16, #7 ), references = 1, size of lhs = 3:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), #-{F} V2 | P_drop-{T}(V1,V2,V2)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #32: exists( #11, #1 ), references = 1, size of lhs = 1:
% 0.28/0.45 P_cons-{F}(V0,V1,V2) | P_tail-{T}(V2,V1)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #34: exists( #13, #3 ), references = 1, size of lhs = 2:
% 0.28/0.45 P_nil-{F}(V0), P_s-{F}(V1,V2) | P_proj1S-{T}(V2,V1)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #36: exists( #16, #6 ), references = 2, size of lhs = 5:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V3), P_drop-{F}(V2,V4,V5), P_cons-{F}(V6,V4,V7) | P_drop-{T}(V3,V7,V5)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #41: mergings( V3 == V5, V4 == V6; #38 ), references = 1, size of lhs = 5:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V2), P_cons-{F}(V3,V4,V5), V4 == V5 | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #45: mergings( V3 == V5, V4 == V6; #42 ), references = 1, size of lhs = 5:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V2), #-{F} V3, #-{F} V4 | P_cons-{T}(V3,V4,V4)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #52: mergings( V3 == V5, V4 == V6; #49 ), references = 1, size of lhs = 6:
% 0.28/0.45 P_nil-{F}(V0), P_z-{F}(V1), P_s-{F}(V2,V3), P_drop-{F}(V2,V4,V5), P_drop-{F}(V3,V6,V5), #-{F} V7 | P_cons-{T}(V7,V4,V6)
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #63: mergings( V3 == V5, V5 == V7, V2 == V4, V4 == V6; #57 ), references = 1, size of lhs = 3:
% 0.28/0.45 P_z-{F}(V0), P_nil-{F}(V1), P_drop-{F}(V2,V3,V1) | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #69: mergings( V1 == V2, V2 == V3, V3 == V4; #65 ), references = 1, size of lhs = 1:
% 0.28/0.45 P_nil-{F}(V0) | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 #71: exists( #12, #65 ), references = 1, size of lhs = 0:
% 0.28/0.45 FALSE | FALSE
% 0.28/0.45 (used 0 times, uses = {})
% 0.28/0.45
% 0.28/0.45 number of learnt formulas = 12
% 0.28/0.45
% 0.28/0.45
% 0.28/0.45 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.45
% 0.28/0.45 randbase = 1
%------------------------------------------------------------------------------