%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : ANA039-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 07:17:54 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA039-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34 % Computer : n006.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 14:06:02 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 SPASS-SCL-FOL version:
% 0.19/0.44 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 0.37/0.60 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60 Execution resolution_3 ended with status: unsatisfiable
% 0.37/0.60 Used heuristic: resolution_3
% 0.37/0.60
% 0.37/0.60 Input Clauses:
% 0.37/0.60
% 0.37/0.60 Predicates: c_lessequals class_Ring__and__Field_Oordered__idom class_OrderedGroup_Olordered__ab__group__abs class_Orderings_Oorder class_Ring__and__Field_Opordered__semiring
% 0.37/0.60 Fol Constants: t_a v_c v_x c_0
% 0.37/0.60 Fol Functions: v_h c_HOL_Oabs v_f c_times
% 0.37/0.60 Problem Properties:
% 0.37/0.60 This is a full first-order problem without equality.
% 0.37/0.60
% 0.37/0.60 After reduction: Problem Properties:
% 0.37/0.60 This is a full first-order problem without equality.
% 0.37/0.60
% 0.37/0.60
% 0.37/0.60 Reduced Input Clauses:
% 0.37/0.60
% 0.37/0.60 Most General Atoms: class_OrderedGroup_Olordered__ab__group__abs(x0) class_Orderings_Oorder(x0) c_lessequals(x3,x2,x0) class_Ring__and__Field_Opordered__semiring(x0) class_Ring__and__Field_Oordered__idom(x0)
% 0.37/0.60
% 0.37/0.60 === Starting SPASS-SCL-FOL A Little Less Naive, considering 19 atoms initially, heuristics mode: resolution_3 ===
% 0.37/0.60
% 0.37/0.60 === Backtracking. Learning clause 11:3:2:[6.3,1.1]:TopTop: class_Orderings_Oorder(t_a),c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(x0),t_a),t_a),x1,t_a) -> c_lessequals(c_HOL_Oabs(v_h(x0),t_a),x1,t_a)
% 0.37/0.60 === Backtracking. Learning clause 12:3:2:[6.2,1.1]:TopTop: class_Orderings_Oorder(t_a),c_lessequals(x0,c_HOL_Oabs(v_h(x1),t_a),t_a) -> c_lessequals(x0,c_times(v_c,c_HOL_Oabs(v_f(x1),t_a),t_a),t_a)
% 0.37/0.60 === Backtracking. Learning clause 13:3:1:[6.4,2.1]:Top: class_Orderings_Oorder(t_a),c_lessequals(x0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),x0,t_a) ->
% 0.37/0.60 === Clause set with instances from active satisfied. Growing active. New size: 31
% 0.37/0.60 === Restarting.
% 0.37/0.60 === Backtracking. Learning clause 14:5:2:[6.2,7.4,1.1]:TopTop: class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,x0,t_a),c_lessequals(c_0,c_HOL_Oabs(v_f(x1),t_a),t_a) -> c_lessequals(c_HOL_Oabs(v_h(x1),t_a),c_times(x0,c_HOL_Oabs(v_f(x1),t_a),t_a),t_a)
% 0.37/0.60 === Backtracking. Learning clause 15:5:1:[6.2,7.4,2.1,14.5,5.2]:Top: c_lessequals(x0,c_HOL_Oabs(v_c,t_a),t_a),class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,x0,t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) ->
% 0.37/0.60 === Backtracking. Learning clause 16:4:3:[6.2,4.2]:TopTopTop: class_Orderings_Oorder(x0),c_lessequals(x1,x2,x0),class_OrderedGroup_Olordered__ab__group__abs(x0) -> c_lessequals(x1,c_HOL_Oabs(x2,x0),x0)
% 0.37/0.60 === Clause set with instances from active satisfied. Growing active. New size: 41
% 0.37/0.60 === Restarting.
% 0.37/0.60 === Conflict found: 15:5:1:[6.2,7.4,2.1,14.5,5.2]:Top: c_lessequals(x0,c_HOL_Oabs(v_c,t_a),t_a),class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,x0,t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) -> {x0 -> t_a}
% 0.37/0.60 === Backtracking. Learning clause 17:5:1:[15.1,16.4]:Top: class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,x0,t_a),class_Orderings_Oorder(t_a),c_lessequals(x0,v_c,t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) ->
% 0.37/0.60 === Conflict found: 15:5:1:[6.2,7.4,2.1,14.5,5.2]:Top: c_lessequals(x0,c_HOL_Oabs(v_c,t_a),t_a),class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,x0,t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) -> {x0 -> c_0}
% 0.37/0.60 === Backtracking. Learning clause 18:4:0:[15.1,5.2]:: class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,c_0,t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) ->
% 0.37/0.60 === Conflict found: 14:5:2:[6.2,7.4,1.1]:TopTop: class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),c_lessequals(v_c,x0,t_a),c_lessequals(c_0,c_HOL_Oabs(v_f(x1),t_a),t_a) -> c_lessequals(c_HOL_Oabs(v_h(x1),t_a),c_times(x0,c_HOL_Oabs(v_f(x1),t_a),t_a),t_a) {x0 -> c_HOL_Oabs(v_c,t_a), x1 -> v_x}
% 0.37/0.60 === Backtracking. Learning clause 19:3:0:[14.5,2.1,5.2,4.2]:: class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) ->
% 0.37/0.60 === Clause set with instances from active satisfied. Growing active. New size: 42
% 0.37/0.60 === Restarting.
% 0.37/0.60 === Conflict found: 19:3:0:[14.5,2.1,5.2,4.2]:: class_Orderings_Oorder(t_a),class_Ring__and__Field_Opordered__semiring(t_a),class_OrderedGroup_Olordered__ab__group__abs(t_a) -> {}
% 0.37/0.60
% 0.37/0.60 SZS status Unsatisfiable
% 0.37/0.60
% 0.37/0.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60
% 0.37/0.60 SPASS-SCL-FOL Statistics:
% 0.37/0.60 Number of learned clauses: 9
% 0.37/0.60 Number of propagations: 134
% 0.37/0.60 Number of decisions: 106
% 0.37/0.60 Number of resolutions: 19
% 0.37/0.60 Number of condensations: 0
% 0.37/0.60 Number of sub resolutions: 0
% 0.37/0.60 Number of input literals (deduplicated): 12
% 0.37/0.60 Number of grows: 3
% 0.37/0.60 Number of considered ground atoms: 42
% 0.37/0.60
% 0.37/0.60 Needed: 0:00:00.03
% 0.37/0.60
%------------------------------------------------------------------------------