%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : GRP130-3.003 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Thu May 7 07:23:07 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP130-3.003 : TPTP v9.2.1. Released v1.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % Computer : n003.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 : Thu May 7 12:00:57 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 SPASS-SCL-FOL version:
% 0.19/0.43 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 0.29/0.55 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.55 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.55 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.55 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.55 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.55 Execution normal ended with status: unsatisfiable
% 0.29/0.55 Used heuristic: normal
% 0.29/0.55
% 0.29/0.55 Input Clauses:
% 0.29/0.55
% 0.29/0.55 Predicates: next greater cycle equalish group_element product
% 0.29/0.55 Fol Constants: e_0 e_1 e_2 e_3
% 0.29/0.55 Fol Functions:
% 0.29/0.55 Problem Properties:
% 0.29/0.55 This is a Bernays Schoenfinkel problem.
% 0.29/0.55
% 0.29/0.55 After reduction: Problem Properties:
% 0.29/0.55 This is a Bernays Schoenfinkel problem.
% 0.29/0.55
% 0.29/0.55
% 0.29/0.55 Reduced Input Clauses:
% 0.29/0.55
% 0.29/0.55 Most General Atoms: cycle(x3,x4) greater(x1,x0) next(x0,x3) group_element(x1) equalish(x0,x3) product(x3,x1,x0)
% 0.29/0.55
% 0.29/0.55 === Starting SPASS-SCL-FOL A Little Less Naive, considering 132 atoms initially, heuristics mode: normal ===
% 0.29/0.55
% 0.29/0.55 === Backtracking. Learning clause 32:8:5:[19.0,31.1,26.5,30.1,30.2,29.1,30.3,28.1]:TopTopTopTopTop: group_element(x0),product(x1,x2,x0),product(e_3,x2,x3),product(e_3,x3,x0),product(e_3,x4,x0) -> product(x0,e_3,e_2),equalish(e_1,x1),equalish(e_3,x4)
% 0.29/0.55 === Conflict found: 32:8:5:[19.0,31.1,26.5,30.1,30.2,29.1,30.3,28.1]:TopTopTopTopTop: group_element(x0),product(x1,x2,x0),product(e_3,x2,x3),product(e_3,x3,x0),product(e_3,x4,x0) -> product(x0,e_3,e_2),equalish(e_1,x1),equalish(e_3,x4) {x0 -> e_1, x1 -> e_2, x2 -> e_3, x3 -> e_2, x4 -> e_2}
% 0.29/0.55 === Backtracking. Learning clause 39:4:0:[17.0,33.0,18.0,34.1,19.0,35.2,20.0,36.3,25.0,37.4,21.0,38.7,32.4,26.3,29.1,30.1,30.3,26.5,28.1,30.2,26.3]:: -> product(e_3,e_2,e_2),product(e_2,e_2,e_3),product(e_2,e_3,e_2),product(e_2,e_3,e_3)
% 0.29/0.55 === Backtracking. Learning clause 44:3:0:[19.0,40.0,17.0,41.1,21.0,42.2,24.0,43.3,26.3,32.2,28.2,30.1,28.1,29.2,30.3,39.4]:: -> product(e_3,e_2,e_2),product(e_2,e_2,e_3),product(e_2,e_3,e_2)
% 0.29/0.55 === Backtracking. Learning clause 49:6:3:[19.0,45.0,17.0,46.3,21.0,47.7,24.0,48.8,26.4,28.2,30.1,32.2,29.2]:TopTopTop: product(e_3,x0,e_2),product(e_3,e_3,x1),product(x2,e_3,e_2) -> equalish(x0,e_1),product(x1,e_1,e_3),equalish(x2,e_1)
% 0.29/0.55 === Backtracking. Learning clause 51:11:5:[19.0,50.0,26.3,32.3,29.2]:TopTopTopTopTop: group_element(x0),group_element(x1),product(x2,x0,x1),product(e_3,e_1,x1),product(e_3,x3,x1),product(x4,x0,e_3) -> product(e_3,x0,e_2),product(x1,e_3,e_2),equalish(e_1,x2),equalish(e_3,x3),equalish(x4,e_3)
% 0.29/0.55 === Backtracking. Learning clause 61:1:1:[17.0,52.0,19.0,53.1,18.0,54.2,20.0,55.4,23.0,56.5,24.0,57.6,22.0,58.7,21.0,59.8,25.0,60.9,26.3,28.1,29.1,26.3,26.4,28.2,26.3,29.2,51.4,49.1,28.2,30.2,44.2,32.2,30.2,27.1]:Top: product(e_2,x0,e_3) ->
% 0.29/0.55 === Backtracking. Learning clause 62:2:2:[29.3,22.1]:TopTop: product(e_2,x0,x1),product(e_1,x0,x1) ->
% 0.29/0.55 === Backtracking. Learning clause 63:2:2:[28.3,21.1]:TopTop: product(x0,e_1,x1),product(x0,e_3,x1) ->
% 0.29/0.55 === Conflict found: 39:4:0:[17.0,33.0,18.0,34.1,19.0,35.2,20.0,36.3,25.0,37.4,21.0,38.7,32.4,26.3,29.1,30.1,30.3,26.5,28.1,30.2,26.3]:: -> product(e_3,e_2,e_2),product(e_2,e_2,e_3),product(e_2,e_3,e_2),product(e_2,e_3,e_3) {}
% 0.29/0.55 === Backtracking. Learning clause 66:1:0:[61.0,64.1,61.0,65.2,39.3,62.1,30.1]:: product(e_1,e_3,e_2) ->
% 0.29/0.55 === Backtracking. Learning clause 67:2:0:[26.2,18.1,19.1,30.1,28.1,22.1]:: product(e_3,e_1,e_3) -> product(e_3,e_2,e_2)
% 0.29/0.55 === Backtracking. Learning clause 68:3:0:[26.1,19.1,18.1]:: -> product(e_3,e_2,e_1),product(e_3,e_2,e_2),product(e_3,e_2,e_3)
% 0.29/0.55 === Backtracking. Learning clause 69:4:1:[26.2,17.1]:Top: group_element(x0) -> product(x0,e_1,e_1),product(x0,e_1,e_2),product(x0,e_1,e_3)
% 0.29/0.55 === Conflict found: 32:8:5:[19.0,31.1,26.5,30.1,30.2,29.1,30.3,28.1]:TopTopTopTopTop: group_element(x0),product(x1,x2,x0),product(e_3,x2,x3),product(e_3,x3,x0),product(e_3,x4,x0) -> product(x0,e_3,e_2),equalish(e_1,x1),equalish(e_3,x4) {x0 -> e_1, x1 -> e_3, x2 -> e_1, x3 -> e_1, x4 -> e_1}
% 0.29/0.55 === Backtracking. Learning clause 72:2:0:[66.0,70.0,67.0,71.1,32.8,24.1,21.1,17.1,69.2,30.1,19.1,68.3]:: -> product(e_3,e_2,e_1),product(e_3,e_2,e_2)
% 0.29/0.55
% 0.29/0.55 SZS status Unsatisfiable
% 0.29/0.55
% 0.29/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.55
% 0.29/0.55 SPASS-SCL-FOL Statistics:
% 0.29/0.55 Number of learned clauses: 13
% 0.29/0.55 Number of propagations: 198
% 0.29/0.55 Number of decisions: 30
% 0.29/0.55 Number of resolutions: 68
% 0.29/0.55 Number of condensations: 1
% 0.29/0.55 Number of sub resolutions: 29
% 0.29/0.55 Number of input literals (deduplicated): 33
% 0.29/0.55 Number of grows: 0
% 0.29/0.55 Number of considered ground atoms: 132
% 0.29/0.55
% 0.29/0.55 Needed: 0:00:00.02
% 0.29/0.55
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