%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:07:17 PM UTC 2026
% Result : Theorem 1.65s 1.94s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 10:20:39 UTC 2026
% 0.14/0.37 % CPUTime :
% 1.65/1.94 GeoParameters:
% 1.65/1.94
% 1.65/1.94 tptp_input = 1
% 1.65/1.94 tptp_output = 0
% 1.65/1.94 nonempty = 1
% 1.65/1.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.65/1.94
% 1.65/1.94
% 1.65/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.94
% 1.65/1.94 RuleSystem INPUT:
% 1.65/1.94
% 1.65/1.94 Initial Rules:
% 1.65/1.94 #0: input, references = 4, size of lhs = 5:
% 1.65/1.94 P_+-{F}(V0,V1,V3), P_+-{F}(V3,V2,V4), P_+-{F}(V1,V2,V5), P_+-{F}(V0,V5,V6), V4 == V6 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #1: input, references = 5, size of lhs = 3:
% 1.65/1.94 P_+-{F}(V0,V1,V2), P_+-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #2: input, references = 4, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), P_+-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #3: input, references = 10, size of lhs = 2:
% 1.65/1.94 P_0-{F}(V0), #-{F} V1 | >=-{T}(V1,V1)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #4: input, references = 3, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), >=-{F}(V1,V2), >=-{F}(V3,V1) | >=-{T}(V3,V2)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #5: input, references = 8, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), >=-{F}(V1,V2), >=-{F}(V2,V1), V1 == V2 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #6: input, references = 8, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), P_+-{F}(V1,V2,V4), P_==>-{F}(V1,V3,V5), >=-{F}(V4,V3) | >=-{T}(V2,V5)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #7: input, references = 7, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), P_+-{F}(V1,V2,V4), P_==>-{F}(V1,V3,V5), >=-{F}(V2,V5) | >=-{T}(V4,V3)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #8: input, references = 6, size of lhs = 2:
% 1.65/1.94 P_0-{F}(V0), #-{F} V1 | >=-{T}(V1,V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #9: input, references = 7, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), >=-{F}(V1,V2), P_+-{F}(V1,V3,V4), P_+-{F}(V2,V3,V5) | >=-{T}(V4,V5)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #10: input, references = 3, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), >=-{F}(V1,V2), P_==>-{F}(V2,V3,V4), P_==>-{F}(V1,V3,V5) | >=-{T}(V4,V5)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #11: input, references = 3, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), >=-{F}(V1,V2), P_==>-{F}(V3,V1,V4), P_==>-{F}(V3,V2,V5) | >=-{T}(V4,V5)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #12: input, references = 4, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), P_+-{F}(V2,V1,V3), V3 == V1 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #13: input, references = 4, size of lhs = 7:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), P_==>-{F}(V2,V3,V4), P_==>-{F}(V4,V3,V5), P_==>-{F}(V3,V2,V6), P_==>-{F}(V6,V2,V7), V5 == V7 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #14: input, references = 4, size of lhs = 4:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), P_+-{F}(V2,V2,V3), V3 == V2 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #15: input, references = 4, size of lhs = 2:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #16: input, references = 4, size of lhs = 4:
% 1.65/1.94 pppp0-{F}(V0,V1,V2), P_==>-{F}(V2,V1,V3), P_==>-{F}(V3,V2,V4), P_==>-{F}(V4,V2,V0) | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #17: input, references = 9, size of lhs = 2:
% 1.65/1.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_+-{T}(V0,V1,V2)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #18: input, references = 4, size of lhs = 0:
% 1.65/1.94 FALSE | EXISTS V0: P_0-{T}(V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #19: input, references = 9, size of lhs = 2:
% 1.65/1.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_==>-{T}(V0,V1,V2)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #20: input, references = 4, size of lhs = 0:
% 1.65/1.94 FALSE | EXISTS V0: P_1-{T}(V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 number of initial rules = 21
% 1.65/1.94
% 1.65/1.94 Simplifiers:
% 1.65/1.94 #21: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 P_+-{F}(V0,V1,V2), P_+-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #22: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), P_0-{F}(V1), V0 == V1 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #23: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 P_==>-{F}(V0,V1,V2), P_==>-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #24: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 P_1-{F}(V0), P_1-{F}(V1), V0 == V1 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #25: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #26: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #27: unsound, references = 3, size of lhs = 3:
% 1.65/1.94 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 number of simplifiers = 7
% 1.65/1.94
% 1.65/1.94 Learnt:
% 1.65/1.94 #29: exists( #17, #14 ), references = 2, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), #-{F} V2 | P_+-{T}(V2,V2,V2)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #31: exists( #17, #12 ), references = 4, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), #-{F} V2 | P_+-{T}(V2,V1,V1)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #34: exists( #17, #2 ), references = 9, size of lhs = 2:
% 1.65/1.94 P_0-{F}(V0), #-{F} V1 | P_+-{T}(V1,V0,V1)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #36: exists( #17, #1 ), references = 9, size of lhs = 1:
% 1.65/1.94 P_+-{F}(V0,V1,V2) | P_+-{T}(V1,V0,V2)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #43: mergings( V3 == V4, V4 == V5; #40 ), references = 4, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), P_+-{F}(V1,V0,V2), >=-{F}(V2,V3) | P_==>-{T}(V1,V3,V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #58: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8; #53 ), references = 5, size of lhs = 5:
% 1.65/1.94 P_1-{F}(V0), >=-{F}(V0,V1), P_0-{F}(V1), >=-{F}(V2,V3), P_==>-{F}(V4,V0,V3) | P_+-{T}(V4,V2,V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #63: exists( #19, #13 ), references = 3, size of lhs = 5:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), P_==>-{F}(V2,V3,V4), P_==>-{F}(V3,V2,V5), P_==>-{F}(V5,V2,V6) | P_==>-{T}(V4,V3,V6)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #84: mergings( V3 == V0, V0 == V4; #79 ), references = 1, size of lhs = 3:
% 1.65/1.94 P_1-{F}(V0), >=-{F}(V0,V1), P_0-{F}(V1) | P_==>-{T}(V1,V0,V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #87: mergings( V3 == V4, V4 == V5; #80 ), references = 1, size of lhs = 4:
% 1.65/1.94 P_1-{F}(V0), >=-{F}(V0,V1), P_0-{F}(V1), P_+-{F}(V1,V1,V2) | P_==>-{T}(V2,V0,V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #92: mergings( V3 == V0, V0 == V4, V4 == V5, V5 == V6; #81 ), references = 2, size of lhs = 3:
% 1.65/1.94 P_0-{F}(V0), P_+-{F}(V0,V1,V2), >=-{F}(V2,V1) | P_==>-{T}(V0,V1,V1)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #112: exists( #19, #103 ), references = 2, size of lhs = 6:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), pppp0-{F}(V2,V3,V4), P_==>-{F}(V4,V3,V5), P_==>-{F}(V4,V5,V6), P_==>-{F}(V6,V5,V2) | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #141: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V5 == V10; #131 ), references = 1, size of lhs = 8:
% 1.65/1.94 P_1-{F}(V0), >=-{F}(V0,V1), P_0-{F}(V1), >=-{F}(V2,V3), >=-{F}(V2,V4), P_==>-{F}(V5,V6,V3), P_==>-{F}(V6,V0,V7), P_==>-{F}(V5,V7,V4) | P_+-{T}(V5,V2,V0)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #162: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V8 == V13; #147 ), references = 2, size of lhs = 9:
% 1.65/1.94 P_1-{F}(V0), >=-{F}(V0,V1), P_0-{F}(V1), >=-{F}(V0,V2), P_==>-{F}(V3,V2,V4), P_+-{F}(V3,V4,V5), >=-{F}(V5,V6), P_==>-{F}(V6,V0,V7), P_==>-{F}(V3,V7,V1) | P_==>-{T}(V3,V6,V4)
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #182: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V8 == V1, V1 == V11; #173 ), references = 1, size of lhs = 10:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V1,V1), >=-{F}(V1,V0), pppp0-{F}(V0,V1,V2), P_+-{F}(V2,V1,V3), >=-{F}(V3,V1), P_==>-{F}(V1,V2,V4), P_==>-{F}(V4,V2,V5), P_==>-{F}(V2,V5,V0) | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #204: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V0, V0 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V10 == V1, V1 == V13; #192 ), references = 1, size of lhs = 5:
% 1.65/1.94 P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V1,V1), >=-{F}(V1,V0), P_+-{F}(V1,V0,V1) | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #218: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #208 ), references = 1, size of lhs = 1:
% 1.65/1.94 P_0-{F}(V0) | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 #220: exists( #18, #208 ), references = 1, size of lhs = 0:
% 1.65/1.94 FALSE | FALSE
% 1.65/1.94 (used 0 times, uses = {})
% 1.65/1.94
% 1.65/1.94 number of learnt formulas = 17
% 1.65/1.94
% 1.65/1.94
% 1.65/1.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.65/1.94
% 1.65/1.94 randbase = 1
%------------------------------------------------------------------------------