%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : GRP133-1.003 : 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 : n005.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 07:23:08 PM UTC 2026
% Result : Unsatisfiable 0.31s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP133-1.003 : TPTP v9.2.1. Released v1.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Computer : n005.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 12:01:01 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 SPASS-SCL-FOL version:
% 0.21/0.44 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 0.31/0.58 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.58 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.58 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.58 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.58 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.58 Execution normal ended with status: unsatisfiable
% 0.31/0.58 Used heuristic: normal
% 0.31/0.58
% 0.31/0.58 Input Clauses:
% 0.31/0.58
% 0.31/0.58 Predicates: group_element equalish product
% 0.31/0.58 Fol Constants: e_1 e_2 e_3
% 0.31/0.58 Fol Functions:
% 0.31/0.58 Problem Properties:
% 0.31/0.58 This is a Bernays Schoenfinkel problem.
% 0.31/0.58
% 0.31/0.58 After reduction: Problem Properties:
% 0.31/0.58 This is a Bernays Schoenfinkel problem.
% 0.31/0.58
% 0.31/0.58
% 0.31/0.58 Reduced Input Clauses:
% 0.31/0.58
% 0.31/0.58 Most General Atoms: group_element(x1) equalish(x0,x3) product(x2,x3,x0)
% 0.31/0.58
% 0.31/0.58 === Starting SPASS-SCL-FOL A Little Less Naive, considering 39 atoms initially, heuristics mode: normal ===
% 0.31/0.58
% 0.31/0.58 === Backtracking. Learning clause 19:6:1:[3.0,15.0,1.0,16.2,8.0,17.3,5.0,18.7,10.5,13.1,12.1,10.4,12.1,12.1,14.3,10.5]:Top: group_element(x0) -> equalish(e_1,x0),product(e_3,x0,e_3),equalish(x0,e_3),product(e_1,e_1,e_1),product(e_1,e_1,e_2)
% 0.31/0.58 === Backtracking. Learning clause 24:8:2:[1.0,20.1,2.0,21.2,4.0,22.4,6.0,23.5,13.2,10.5,10.5,14.1,10.3,12.1,10.5,13.1,12.1,14.3,12.1,13.1,12.1,11.1,13.1,19.6]:TopTop: group_element(x0),group_element(x1) -> equalish(x0,e_2),equalish(x0,e_1),equalish(e_1,x1),product(e_3,x1,e_3),equalish(x1,e_3),product(e_1,e_1,e_1)
% 0.31/0.58 === Backtracking. Learning clause 28:7:1:[2.0,25.0,1.0,26.2,4.0,27.4,10.4,12.2,13.1,14.3,10.4,12.1,10.5,14.2,14.1,10.3]:Top: group_element(x0) -> product(e_1,e_2,e_3),equalish(e_1,x0),product(e_1,e_2,x0),product(e_1,e_1,e_1),product(x0,e_1,e_2),product(x0,e_1,e_3)
% 0.31/0.58 === Backtracking. Learning clause 35:4:1:[1.0,29.0,3.0,30.1,2.0,31.3,5.0,32.4,4.0,33.7,7.0,34.8,12.1,14.3,10.3,14.1,12.2,14.1,10.5,13.1,28.6,13.1,12.1,24.6]:Top: group_element(x0) -> equalish(x0,e_2),equalish(x0,e_1),product(e_1,e_1,e_1)
% 0.31/0.58 === Backtracking. Learning clause 37:7:2:[1.0,36.2,13.2,35.4,10.3]:TopTop: group_element(x0),group_element(x1) -> equalish(x1,e_1),equalish(x0,e_2),equalish(x0,e_1),product(x1,e_1,e_2),product(x1,e_1,e_3)
% 0.31/0.58 === Backtracking. Learning clause 39:12:5:[1.0,38.0,12.1,14.3,10.3,14.1,37.6,13.1,14.1,12.1,11.2]:TopTopTopTopTop: group_element(x0),group_element(x1),product(x2,e_1,e_3),product(e_1,x3,e_3),product(e_1,e_1,x4) -> equalish(e_2,x1),equalish(x1,e_1),equalish(x0,e_2),equalish(x0,e_1),equalish(x1,x2),equalish(x1,x3),equalish(x4,e_2)
% 0.31/0.58 === Backtracking. Learning clause 40:5:2:[12.2,35.4]:TopTop: product(e_1,x0,e_1),group_element(x1) -> equalish(x0,e_1),equalish(x1,e_2),equalish(x1,e_1)
% 0.31/0.58 === Backtracking. Learning clause 41:7:4:[14.3,12.2,10.4]:TopTopTopTop: product(x0,x1,x2),product(x2,x3,x0),group_element(x1),group_element(x0) -> equalish(x3,e_2),product(x1,x0,e_1),product(x1,x0,e_3)
% 0.31/0.58 === Conflict found: 37:7:2:[1.0,36.2,13.2,35.4,10.3]:TopTop: group_element(x0),group_element(x1) -> equalish(x1,e_1),equalish(x0,e_2),equalish(x0,e_1),product(x1,e_1,e_2),product(x1,e_1,e_3) {x0 -> e_3, x1 -> e_2}
% 0.31/0.58 === Backtracking. Learning clause 50:3:0:[2.0,42.0,1.0,43.1,3.0,44.2,6.0,45.3,9.0,46.5,7.0,47.6,4.0,48.7,8.0,49.9,37.6,41.1,13.2,12.1,41.7,37.7]:: -> product(e_1,e_2,e_1),product(e_1,e_3,e_1),product(e_3,e_1,e_2)
% 0.31/0.58 === Backtracking. Learning clause 51:6:2:[14.3,14.1,10.4]:TopTop: product(x0,x1,e_2),group_element(x1),group_element(x0) -> product(x1,x1,e_2),product(x1,x0,e_1),product(x1,x0,e_3)
% 0.31/0.58 === Conflict found: 37:7:2:[1.0,36.2,13.2,35.4,10.3]:TopTop: group_element(x0),group_element(x1) -> equalish(x1,e_1),equalish(x0,e_2),equalish(x0,e_1),product(x1,e_1,e_2),product(x1,e_1,e_3) {x0 -> e_3, x1 -> e_2}
% 0.31/0.58
% 0.31/0.58 SZS status Unsatisfiable
% 0.31/0.58
% 0.31/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.58
% 0.31/0.58 SPASS-SCL-FOL Statistics:
% 0.31/0.58 Number of learned clauses: 10
% 0.31/0.58 Number of propagations: 134
% 0.31/0.58 Number of decisions: 14
% 0.31/0.58 Number of resolutions: 79
% 0.31/0.58 Number of condensations: 1
% 0.31/0.58 Number of sub resolutions: 27
% 0.31/0.58 Number of input literals (deduplicated): 15
% 0.31/0.58 Number of grows: 0
% 0.31/0.58 Number of considered ground atoms: 39
% 0.31/0.58
% 0.31/0.58 Needed: 0:00:00.01
% 0.31/0.58
%------------------------------------------------------------------------------