%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL687+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n002.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 12:06:54 PM UTC 2026
% Result : CounterSatisfiable 0.23s 0.56s
% Output : Model 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL687+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 4 21:46:05 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.23/0.56 GeoParameters:
% 0.23/0.56
% 0.23/0.56 tptp_input = 1
% 0.23/0.56 tptp_output = 0
% 0.23/0.56 nonempty = 1
% 0.23/0.56 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.56 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.23/0.56
% 0.23/0.56
% 0.23/0.56 % SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.56 % SZS output start Model for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.56
% 0.23/0.56 Interpretation 2:
% 0.23/0.56 Guesses:
% 0.23/0.56 0 : guesser 2, 1, ( | 1, 0 ), 0, 0s old, 0 lemmas
% 0.23/0.56 1 : guesser 5, 3, ( | 1, 2, 0 ), 0, 0s old, 0 lemmas
% 0.23/0.56 2 : guesser 7, 5, ( | 1, 2, 0 ), 0, 0s old, 0 lemmas
% 0.23/0.56 3 : guesser 9, 7, ( | 0, 2, 1 ), 0, 0s old, 0 lemmas
% 0.23/0.56 4 : guesser 11, 9, ( | 1, 2, 0 ), 0, 0s old, 0 lemmas
% 0.23/0.56 5 : guesser 12, 10, ( | 1, 2, 0 ), 0, 0s old, 0 lemmas
% 0.23/0.56 6 : guesser 16, 14, ( 1 | 2, 0 ), 0, 0s old, 1 lemmas
% 0.23/0.56 7 : guesser 21, 18, ( | 0, 2, 3, 1 ), 1, 0s old, 0 lemmas
% 0.23/0.56 8 : guesser 22, 19, ( | 2, 1, 3, 0 ), 1, 0s old, 0 lemmas
% 0.23/0.56 9 : guesser 23, 20, ( 1 | 0, 3, 2 ), 1, 0s old, 1 lemmas
% 0.23/0.56 10 : guesser 25, 22, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 11 : guesser 29, 26, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 12 : guesser 30, 27, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 13 : guesser 32, 29, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 14 : guesser 33, 30, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 15 : guesser 35, 32, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 16 : guesser 36, 33, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 17 : guesser 38, 35, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 18 : guesser 39, 36, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 19 : guesser 41, 38, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 20 : guesser 43, 40, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 21 : guesser 45, 42, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 22 : guesser 47, 44, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 23 : guesser 49, 46, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 24 : guesser 51, 48, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 25 : guesser 53, 50, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 26 : guesser 55, 52, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 27 : guesser 57, 54, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 28 : guesser 59, 56, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 29 : guesser 61, 58, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 30 : guesser 63, 60, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 31 : guesser 65, 62, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 32 : guesser 67, 64, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 33 : guesser 69, 66, ( | 1, 0, 3, 2 ), 2, 0s old, 0 lemmas
% 0.23/0.56 34 : guesser 71, 68, ( | 0, 2, 3, 1 ), 2, 0s old, 0 lemmas
% 0.23/0.56 35 : guesser 73, 70, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56 36 : guesser 75, 72, ( | 2, 1, 3, 0 ), 2, 0s old, 0 lemmas
% 0.23/0.56
% 0.23/0.56 Elements:
% 0.23/0.56 { E0, E1, E2 }
% 0.23/0.56
% 0.23/0.56 Atoms:
% 0.23/0.56 0 : #-{T} E0 { }
% 0.23/0.56 1 : r1-{T}(E0,E0) { }
% 0.23/0.56 2 : #-{T} E1 { 0 }
% 0.23/0.56 3 : pppp29-{T}(E1) { 0 }
% 0.23/0.56 4 : r1-{T}(E1,E1) { 0 }
% 0.23/0.56 5 : pppp28-{T}(E1,E1) { 0, 1 }
% 0.23/0.56 6 : pppp27-{T}(E1,E1) { 0, 1 }
% 0.23/0.56 7 : pppp1-{T}(E1,E1) { 0, 2 }
% 0.23/0.56 8 : p30-{T}(E1) { 0, 2 }
% 0.23/0.56 9 : pppp26-{T}(E1,E0) { 0, 1, 3 }
% 0.23/0.56 10 : r1-{T}(E1,E0) { 0, 1, 3 }
% 0.23/0.56 11 : pppp25-{T}(E1,E1) { 0, 1, 4 }
% 0.23/0.56 12 : pppp0-{T}(E1,E1) { 0, 2, 5 }
% 0.23/0.56 13 : p1-{T}(E1) { 0, 2, 5 }
% 0.23/0.56 14 : p2-{T}(E1) { 0, 1, 2, 5 }
% 0.23/0.56 15 : p3-{T}(E1) { 0, 1, 2, 4, 5 }
% 0.23/0.56 16 : #-{T} E2 { 0, 1, 3, 6 }
% 0.23/0.56 17 : pppp26-{T}(E0,E2) { 0, 1, 3, 6 }
% 0.23/0.56 18 : r1-{T}(E2,E2) { 0, 1, 3, 6 }
% 0.23/0.56 19 : r1-{T}(E0,E2) { 0, 1, 3, 6 }
% 0.23/0.56 20 : r1-{T}(E1,E2) { 0, 1, 3, 6 }
% 0.23/0.56 21 : pppp25-{T}(E0,E0) { 0, 1, 3, 7 }
% 0.23/0.56 22 : pppp24-{T}(E2,E1) { 0, 1, 4, 8 }
% 0.23/0.56 23 : pppp26-{T}(E2,E0) { 0, 1, 3, 6, 9 }
% 0.23/0.56 24 : r1-{T}(E2,E0) { 0, 1, 3, 6, 9 }
% 0.23/0.56 25 : pppp25-{T}(E2,E1) { 0, 1, 3, 6, 10 }
% 0.23/0.56 26 : r1-{T}(E2,E1) { 0, 1, 3, 6, 10 }
% 0.23/0.56 27 : r1-{T}(E0,E1) { 0, 1, 3, 6, 10 }
% 0.23/0.56 28 : p4-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10 }
% 0.23/0.56 29 : pppp24-{T}(E0,E0) { 0, 1, 3, 7, 11 }
% 0.23/0.56 30 : pppp23-{T}(E2,E1) { 0, 1, 4, 8, 12 }
% 0.23/0.56 31 : p5-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12 }
% 0.23/0.56 32 : pppp23-{T}(E0,E0) { 0, 1, 3, 7, 11, 13 }
% 0.23/0.56 33 : pppp22-{T}(E2,E1) { 0, 1, 4, 8, 12, 14 }
% 0.23/0.56 34 : p6-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14 }
% 0.23/0.56 35 : pppp22-{T}(E1,E0) { 0, 1, 3, 7, 11, 13, 15 }
% 0.23/0.56 36 : pppp21-{T}(E2,E0) { 0, 1, 4, 8, 12, 14, 16 }
% 0.23/0.56 37 : p7-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16 }
% 0.23/0.56 38 : pppp21-{T}(E1,E0) { 0, 1, 3, 7, 11, 13, 15, 17 }
% 0.23/0.56 39 : pppp20-{T}(E0,E0) { 0, 1, 4, 8, 12, 14, 16, 18 }
% 0.23/0.56 40 : p8-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18 }
% 0.23/0.56 41 : pppp19-{T}(E0,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19 }
% 0.23/0.56 42 : p9-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19 }
% 0.23/0.56 43 : pppp18-{T}(E1,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20 }
% 0.23/0.56 44 : p10-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20 }
% 0.23/0.56 45 : pppp17-{T}(E1,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21 }
% 0.23/0.56 46 : p11-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21 }
% 0.23/0.56 47 : pppp16-{T}(E2,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22 }
% 0.23/0.56 48 : p12-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22 }
% 0.23/0.56 49 : pppp15-{T}(E2,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23 }
% 0.23/0.56 50 : p13-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23 }
% 0.23/0.56 51 : pppp14-{T}(E1,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24 }
% 0.23/0.56 52 : p14-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24 }
% 0.23/0.56 53 : pppp13-{T}(E1,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25 }
% 0.23/0.56 54 : p15-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25 }
% 0.23/0.56 55 : pppp12-{T}(E0,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26 }
% 0.23/0.56 56 : p16-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26 }
% 0.23/0.56 57 : pppp11-{T}(E0,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 }
% 0.23/0.56 58 : p17-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 }
% 0.23/0.56 59 : pppp10-{T}(E1,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 }
% 0.23/0.56 60 : p18-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 }
% 0.23/0.56 61 : pppp9-{T}(E1,E0) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29 }
% 0.23/0.56 62 : p19-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29 }
% 0.23/0.56 63 : pppp8-{T}(E0,E0) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 }
% 0.23/0.56 64 : p20-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 }
% 0.23/0.56 65 : pppp7-{T}(E0,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31 }
% 0.23/0.56 66 : p21-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31 }
% 0.23/0.56 67 : pppp6-{T}(E2,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32 }
% 0.23/0.56 68 : p22-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32 }
% 0.23/0.56 69 : pppp5-{T}(E2,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33 }
% 0.23/0.56 70 : p23-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33 }
% 0.23/0.56 71 : pppp4-{T}(E0,E1) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34 }
% 0.23/0.56 72 : p24-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34 }
% 0.23/0.56 73 : pppp3-{T}(E0,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 }
% 0.23/0.56 74 : p25-{T}(E1) { 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 }
% 0.23/0.56 75 : pppp2-{T}(E2,E2) { 0, 1, 4, 8, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36 }
% 0.23/0.56
% 0.23/0.56
% 0.23/0.56 % SZS output end Model for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.56
% 0.23/0.56 randbase = 1
%------------------------------------------------------------------------------