%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : GRP128-3.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 07:23:05 PM UTC 2026
% Result : Satisfiable 0.84s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP128-3.004 : TPTP v9.2.1. Released v1.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Computer : n026.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 12:01:39 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 SPASS-SCL-FOL version:
% 0.19/0.44 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 0.84/0.75 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.75 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.75 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.75 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.75 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.75 Execution normal ended with status: satisfiable
% 0.84/0.75 Used heuristic: normal
% 0.84/0.75
% 0.84/0.75 Input Clauses:
% 0.84/0.75
% 0.84/0.75 Predicates: next greater cycle equalish group_element product
% 0.84/0.75 Fol Constants: e_0 e_1 e_2 e_3 e_4
% 0.84/0.75 Fol Functions:
% 0.84/0.75 Problem Properties:
% 0.84/0.75 This is a Bernays Schoenfinkel problem.
% 0.84/0.75
% 0.84/0.75 After reduction: Problem Properties:
% 0.84/0.75 This is a Bernays Schoenfinkel problem.
% 0.84/0.75
% 0.84/0.75
% 0.84/0.75 Reduced Input Clauses:
% 0.84/0.75
% 0.84/0.75 Most General Atoms: cycle(x3,x4) greater(x1,x0) next(x0,x3) group_element(x1) equalish(x0,x3) product(x0,x2,x3)
% 0.84/0.75
% 0.84/0.75 === Starting SPASS-SCL-FOL A Little Less Naive, considering 230 atoms initially, heuristics mode: normal ===
% 0.84/0.75
% 0.84/0.75 === Backtracking. Learning clause 43:13:9:[38.3,41.1,42.2,42.2,42.2,39.1,39.1,39.1]:TopTopTopTopTopTopTopTopTop: group_element(x0),group_element(x1),product(x2,x1,e_1),product(x3,x1,x0),product(x4,x1,x0),product(x5,x1,x0),product(x5,x0,x6),product(x3,x0,x7),product(x4,x0,x8) -> equalish(x0,x2),equalish(e_2,x6),equalish(e_4,x7),equalish(e_3,x8)
% 0.84/0.75 === Backtracking. Learning clause 46:26:12:[5.0,44.12,22.0,45.15,16.2,20.1,19.1,38.6,19.1,41.1,19.1,16.2,21.1,38.4,42.1,42.2,40.1]:TopTopTopTopTopTopTopTopTopTopTopTop: greater(e_4,x0),cycle(x1,x2),next(x3,x1),greater(e_2,x2),group_element(x0),cycle(x4,x5),next(x3,x4),greater(e_1,x5),cycle(x6,x7),next(x3,x6),greater(x3,x0),greater(e_3,x7),next(x3,x8),group_element(x3),product(e_4,e_1,x9),product(x10,e_4,x3),product(x10,x11,x9) -> product(x0,e_1,e_1),product(x0,e_1,e_3),equalish(x0,x3),cycle(x3,e_2),cycle(x3,e_3),equalish(e_2,x8),product(x3,e_1,e_1),product(x3,e_1,e_3),equalish(x3,x11)
% 0.84/0.75 === Backtracking. Learning clause 51:32:13:[6.0,47.0,7.0,48.3,5.0,49.5,22.0,50.6,38.4,41.2,20.2,16.2,18.1,18.1,19.1,16.2,21.1,38.4,42.1,46.16,41.1,41.1]:TopTopTopTopTopTopTopTopTopTopTopTopTop: next(e_0,x0),next(x1,x2),next(e_0,x3),greater(e_4,x1),cycle(x4,x5),next(x2,x4),greater(e_2,x5),group_element(x1),cycle(x6,x7),next(x2,x6),greater(e_1,x7),cycle(x8,x9),next(x2,x8),greater(x2,x1),greater(e_3,x9),next(x2,x10),group_element(x2),product(e_4,e_1,x2),product(x11,e_1,e_3),product(x12,e_1,e_3) -> equalish(x2,x1),equalish(e_2,x0),equalish(e_3,x3),product(x1,e_1,e_1),equalish(x1,x2),cycle(x2,e_2),cycle(x2,e_3),equalish(e_2,x10),product(x2,e_1,e_1),equalish(x2,e_4),equalish(x2,x11),equalish(x1,x12)
% 0.84/0.75 === Backtracking. Learning clause 53:11:3:[22.0,52.3,38.4,41.1,41.1,38.4,20.2]:TopTopTop: group_element(x0),product(x1,e_1,e_4),group_element(x2),cycle(x2,e_0),greater(e_3,x2) -> product(x0,e_1,e_1),product(x0,e_1,e_3),equalish(x0,x2),equalish(x0,x1),product(x2,e_1,e_1),product(x2,e_1,e_4)
% 0.84/0.75 === Backtracking. Learning clause 54:4:5:[42.3,40.2]:TopTopTopTopTop: product(x0,x1,x2),product(x2,x1,x3),product(x0,x4,x3) -> equalish(x4,x2)
% 0.84/0.75 === Backtracking. Learning clause 55:2:0:[20.3,12.1]:: cycle(e_2,e_0),product(e_2,e_1,e_3) ->
% 0.84/0.75 === Conflict found: 54:4:5:[42.3,40.2]:TopTopTopTopTop: product(x0,x1,x2),product(x2,x1,x3),product(x0,x4,x3) -> equalish(x4,x2) {x0 -> e_2, x1 -> e_1, x2 -> e_2, x3 -> e_2, x4 -> e_1}
% 0.84/0.75 === Backtracking. Learning clause 56:3:3:[54.4,26.1]:TopTopTop: product(x0,x1,e_2),product(e_2,x1,x2),product(x0,e_1,x2) ->
% 0.84/0.75 === Conflict found: 54:4:5:[42.3,40.2]:TopTopTopTopTop: product(x0,x1,x2),product(x2,x1,x3),product(x0,x4,x3) -> equalish(x4,x2) {x0 -> e_3, x1 -> e_3, x2 -> e_3, x3 -> e_3, x4 -> e_4}
% 0.84/0.75 === Backtracking. Learning clause 57:1:0:[54.4,37.1,42.3]:: product(e_3,e_4,e_3) ->
% 0.84/0.75
% 0.84/0.75 Linear Model Building succeeded.
% 0.84/0.75 SZS status Satisfiable
% 0.84/0.75
% 0.84/0.75 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.75
% 0.84/0.75 SPASS-SCL-FOL Statistics:
% 0.84/0.75 Number of learned clauses: 8
% 0.84/0.75 Number of propagations: 430
% 0.84/0.75 Number of decisions: 54
% 0.84/0.75 Number of resolutions: 41
% 0.84/0.75 Number of condensations: 2
% 0.84/0.75 Number of sub resolutions: 7
% 0.84/0.75 Number of input literals (deduplicated): 47
% 0.84/0.75 Number of grows: 0
% 0.84/0.75 Number of considered ground atoms: 230
% 0.84/0.75
% 0.84/0.75 Needed: 0:00:00.20
% 0.84/0.75
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