%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : LCL126-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 07:27:25 PM UTC 2026
% Result : Unsatisfiable 1.79s 0.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL126-1 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu May 7 12:28:21 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.17/0.35 SPASS-SCL-FOL version:
% 0.19/0.44 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 1.79/0.94 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.79/0.94 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.79/0.94 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.79/0.94 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.79/0.94 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.79/0.94 Execution resolution_1 ended with status: unsatisfiable
% 1.79/0.94 Used heuristic: resolution_1
% 1.79/0.94
% 1.79/0.94 Input Clauses:
% 1.79/0.94
% 1.79/0.94 Predicates: is_a_theorem
% 1.79/0.94 Fol Constants: a b c
% 1.79/0.94 Fol Functions: equivalent
% 1.79/0.94 Problem Properties:
% 1.79/0.94 This is a full first-order problem without equality.
% 1.79/0.94
% 1.79/0.94 After reduction: Problem Properties:
% 1.79/0.94 This is a full first-order problem without equality.
% 1.79/0.94
% 1.79/0.94
% 1.79/0.94 Reduced Input Clauses:
% 1.79/0.94
% 1.79/0.94 Most General Atoms: is_a_theorem(x1)
% 1.79/0.94
% 1.79/0.94 === Starting SPASS-SCL-FOL A Little Less Naive, considering 6 atoms initially, heuristics mode: resolution_1 ===
% 1.79/0.94
% 1.79/0.94 === Backtracking. Learning clause 5:2:3:[1.1,2.1]:TopTopTop: is_a_theorem(x0) -> is_a_theorem(equivalent(equivalent(x0,equivalent(x1,x2)),equivalent(x2,x1)))
% 1.79/0.94 === Backtracking. Learning clause 6:2:3:[1.1,3.1]:TopTopTop: is_a_theorem(equivalent(x0,x1)) -> is_a_theorem(equivalent(equivalent(x0,x2),equivalent(x1,x2)))
% 1.79/0.94 === Clause set with instances from active satisfied. Growing active. New size: 7
% 1.79/0.94 === Restarting.
% 1.79/0.94 === Clause set with instances from active satisfied. Growing active. New size: 67
% 1.79/0.94 === Backtracking. Learning clause 7:3:3:[1.1,6.2]:TopTopTop: is_a_theorem(equivalent(x0,x1)),is_a_theorem(equivalent(x0,x2)) -> is_a_theorem(equivalent(x2,x1))
% 1.79/0.94 === Conflict found: 7:3:3:[1.1,6.2]:TopTopTop: is_a_theorem(equivalent(x0,x1)),is_a_theorem(equivalent(x0,x2)) -> is_a_theorem(equivalent(x2,x1)) {x0 -> equivalent(equivalent(a,equivalent(equivalent(a,equivalent(a,a)),equivalent(a,a))),equivalent(a,a)), x1 -> equivalent(a,a), x2 -> equivalent(a,a)}
% 1.79/0.94 === Backtracking. Learning clause 8:2:3:[7.1,5.2]:TopTopTop: is_a_theorem(x0) -> is_a_theorem(equivalent(equivalent(x1,x2),equivalent(x1,x2)))
% 1.79/0.94 === Clause set with instances from active satisfied. Growing active. New size: 131
% 1.79/0.94 === Backtracking. Learning clause 9:1:1:[1.1,7.3,8.2,3.1]:Top: -> is_a_theorem(equivalent(x0,x0))
% 1.79/0.94 === Clause set with instances from active satisfied. Growing active. New size: 195
% 1.79/0.94 === Conflict found: 7:3:3:[1.1,6.2]:TopTopTop: is_a_theorem(equivalent(x0,x1)),is_a_theorem(equivalent(x0,x2)) -> is_a_theorem(equivalent(x2,x1)) {x0 -> a, x1 -> a, x2 -> equivalent(c,c)}
% 1.79/0.94 === Backtracking. Learning clause 10:4:3:[7.3,1.1]:TopTopTop: is_a_theorem(equivalent(x0,x1)),is_a_theorem(equivalent(x0,x2)),is_a_theorem(x2) -> is_a_theorem(x1)
% 1.79/0.94 === Conflict found: 7:3:3:[1.1,6.2]:TopTopTop: is_a_theorem(equivalent(x0,x1)),is_a_theorem(equivalent(x0,x2)) -> is_a_theorem(equivalent(x2,x1)) {x0 -> equivalent(a,c), x1 -> equivalent(a,c), x2 -> equivalent(equivalent(a,b),equivalent(c,b))}
% 1.79/0.94
% 1.79/0.94 SZS status Unsatisfiable
% 1.79/0.94
% 1.79/0.94 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.79/0.94
% 1.79/0.94 SPASS-SCL-FOL Statistics:
% 1.79/0.94 Number of learned clauses: 6
% 1.79/0.94 Number of propagations: 314
% 1.79/0.94 Number of decisions: 65
% 1.79/0.94 Number of resolutions: 11
% 1.79/0.94 Number of condensations: 0
% 1.79/0.94 Number of sub resolutions: 0
% 1.79/0.94 Number of input literals (deduplicated): 5
% 1.79/0.94 Number of grows: 4
% 1.79/0.94 Number of considered ground atoms: 195
% 1.79/0.94
% 1.79/0.94 Needed: 0:00:00.40
% 1.79/0.94
%------------------------------------------------------------------------------