%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : GEO221+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 07:22:08 PM UTC 2026
% Result : Theorem 0.45s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO221+3 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 11:55:52 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 SPASS-SCL-FOL version:
% 0.21/0.43 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 0.45/0.57 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.57 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.57 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.57 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.57 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.57 Execution resolution_3 ended with status: unsatisfiable
% 0.45/0.57 Used heuristic: resolution_3
% 0.45/0.57
% 0.45/0.57 Input Clauses:
% 0.45/0.57
% 0.45/0.57 Predicates: distinct_points distinct_lines convergent_lines apart_point_and_line unorthogonal_lines point line equal_points equal_lines parallel_lines incident_point_and_line orthogonal_lines ren1 ren2 ren3 ren4
% 0.45/0.57 Fol Constants: skc1 skc2 skc3
% 0.45/0.57 Fol Functions: line_connecting intersection_point parallel_through_point orthogonal_through_point
% 0.45/0.57 Problem Properties:
% 0.45/0.57 This is a full first-order problem without equality.
% 0.45/0.57
% 0.45/0.57 After reduction: Problem Properties:
% 0.45/0.57 This is a full first-order problem without equality.
% 0.45/0.57
% 0.45/0.57
% 0.45/0.57 Reduced Input Clauses:
% 0.45/0.57
% 0.45/0.57 Most General Atoms: distinct_points(x1,x2) convergent_lines(x1,x2) distinct_lines(x2,x3) ren1(x0,x2) ren2(x1,x2) apart_point_and_line(x2,x0) ren3(x0,x1) ren4(x0,x2) unorthogonal_lines(x2,x1) point(x1) line(x1) equal_points(x0,x1) equal_lines(x0,x1) parallel_lines(x0,x1) incident_point_and_line(x0,x1) orthogonal_lines(x0,x1)
% 0.45/0.57
% 0.45/0.57 === Starting SPASS-SCL-FOL A Little Less Naive, considering 34 atoms initially, heuristics mode: resolution_3 ===
% 0.45/0.57
% 0.45/0.57 === Backtracking. Learning clause 51:2:3:[6.3,16.1,15.2]:TopTopTop: distinct_lines(x0,parallel_through_point(x1,x2)) -> convergent_lines(x0,x1)
% 0.45/0.57 === Backtracking. Learning clause 52:2:3:[6.3,16.1]:TopTopTop: convergent_lines(x0,parallel_through_point(x1,x2)) -> convergent_lines(x0,x1)
% 0.45/0.57 === Backtracking. Learning clause 53:1:2:[15.2,16.1]:TopTop: distinct_lines(parallel_through_point(x0,x1),x0) ->
% 0.45/0.57 === Backtracking. Learning clause 54:1:0:[45.1,49.1]:: apart_point_and_line(skc2,orthogonal_through_point(skc3,skc1)) ->
% 0.45/0.57 === Backtracking. Learning clause 55:1:0:[42.2,50.1]:: -> distinct_lines(orthogonal_through_point(skc3,skc1),orthogonal_through_point(skc3,skc2))
% 0.45/0.57 === Clause set with instances from active satisfied. Growing active. New size: 44
% 0.45/0.57 === Restarting.
% 0.45/0.57 === Backtracking. Learning clause 56:5:2:[11.5,54.1,26.1,5.3]:TopTop: distinct_points(skc1,skc2),distinct_lines(x0,orthogonal_through_point(skc3,skc1)) -> apart_point_and_line(skc1,x1),apart_point_and_line(skc2,x1),distinct_lines(x0,x1)
% 0.45/0.57 === Backtracking. Learning clause 57:4:1:[11.5,54.1,26.1]:Top: distinct_points(skc1,skc2),distinct_lines(orthogonal_through_point(skc3,skc1),x0) -> apart_point_and_line(skc1,x0),apart_point_and_line(skc2,x0)
% 0.45/0.57 === Backtracking. Learning clause 58:4:2:[27.1,55.1]:TopTop: -> apart_point_and_line(x0,orthogonal_through_point(skc3,skc1)),apart_point_and_line(x0,orthogonal_through_point(skc3,skc2)),unorthogonal_lines(orthogonal_through_point(skc3,skc1),x1),unorthogonal_lines(orthogonal_through_point(skc3,skc2),x1)
% 0.45/0.57 === Backtracking. Learning clause 59:2:1:[5.1,55.1]:Top: -> distinct_lines(orthogonal_through_point(skc3,skc1),x0),distinct_lines(orthogonal_through_point(skc3,skc2),x0)
% 0.45/0.57 === Clause set with instances from active satisfied. Growing active. New size: 70
% 0.45/0.57 === Restarting.
% 0.45/0.57 === Backtracking. Learning clause 60:5:4:[11.3,26.1]:TopTopTopTop: distinct_points(x0,x1),distinct_lines(orthogonal_through_point(x2,x0),x3) -> apart_point_and_line(x0,x3),apart_point_and_line(x1,orthogonal_through_point(x2,x0)),apart_point_and_line(x1,x3)
% 0.45/0.57 === Conflict found: 58:4:2:[27.1,55.1]:TopTop: -> apart_point_and_line(x0,orthogonal_through_point(skc3,skc1)),apart_point_and_line(x0,orthogonal_through_point(skc3,skc2)),unorthogonal_lines(orthogonal_through_point(skc3,skc1),x1),unorthogonal_lines(orthogonal_through_point(skc3,skc2),x1) {x0 -> skc2, x1 -> skc3}
% 0.45/0.57
% 0.45/0.57 SZS status Unsatisfiable
% 0.45/0.57
% 0.45/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.57
% 0.45/0.57 SPASS-SCL-FOL Statistics:
% 0.45/0.57 Number of learned clauses: 10
% 0.45/0.57 Number of propagations: 286
% 0.45/0.57 Number of decisions: 83
% 0.45/0.57 Number of resolutions: 18
% 0.45/0.57 Number of condensations: 0
% 0.45/0.57 Number of sub resolutions: 0
% 0.45/0.57 Number of input literals (deduplicated): 33
% 0.45/0.57 Number of grows: 2
% 0.45/0.57 Number of considered ground atoms: 70
% 0.45/0.57
% 0.45/0.57 Needed: 0:00:00.02
% 0.45/0.57
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