%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1
% Problem : GEO190+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 07:22:00 PM UTC 2026
% Result : Theorem 0.66s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO190+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34 % Computer : n023.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 11:57:09 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 SPASS-SCL-FOL version:
% 0.22/0.40 SPASS-SCL-FOL 0.1 (595c0c7b1) [parallel mode]
% 0.66/0.63 Starting: ./SPASS-SCL-FOL --heuristics_normal -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.63 Starting: ./SPASS-SCL-FOL --heuristics_resolution_1 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.63 Starting: ./SPASS-SCL-FOL --heuristics_resolution_2 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.63 Starting: ./SPASS-SCL-FOL --heuristics_resolution_3 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.63 Starting: ./SPASS-SCL-FOL --heuristics_lmodel_grow -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.63 Execution resolution_1 ended with status: unsatisfiable
% 0.66/0.63 Used heuristic: resolution_1
% 0.66/0.63
% 0.66/0.63 Input Clauses:
% 0.66/0.63
% 0.66/0.63 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
% 0.66/0.63 Fol Constants: skc1 skc2 skc3
% 0.66/0.63 Fol Functions: line_connecting intersection_point parallel_through_point orthogonal_through_point
% 0.66/0.63 Problem Properties:
% 0.66/0.63 This is a full first-order problem without equality.
% 0.66/0.63
% 0.66/0.63 After reduction: Problem Properties:
% 0.66/0.63 This is a full first-order problem without equality.
% 0.66/0.63
% 0.66/0.63
% 0.66/0.63 Reduced Input Clauses:
% 0.66/0.63
% 0.66/0.63 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)
% 0.66/0.63
% 0.66/0.63 === Starting SPASS-SCL-FOL A Little Less Naive, considering 34 atoms initially, heuristics mode: resolution_1 ===
% 0.66/0.63
% 0.66/0.63 === Backtracking. Learning clause 54:2:3:[6.3,16.1,15.2]:TopTopTop: distinct_lines(x0,parallel_through_point(x1,x2)) -> convergent_lines(x0,x1)
% 0.66/0.63 === Backtracking. Learning clause 55:2:3:[6.3,16.1]:TopTopTop: convergent_lines(x0,parallel_through_point(x1,x2)) -> convergent_lines(x0,x1)
% 0.66/0.63 === Backtracking. Learning clause 56:1:2:[15.2,16.1]:TopTop: distinct_lines(parallel_through_point(x0,x1),x0) ->
% 0.66/0.63 === Backtracking. Learning clause 57:1:0:[45.1,52.1]:: apart_point_and_line(skc3,line_connecting(skc1,skc2)) ->
% 0.66/0.63 === Backtracking. Learning clause 58:1:0:[46.2,53.1]:: -> apart_point_and_line(skc3,line_connecting(skc2,skc1))
% 0.66/0.63 === Clause set with instances from active satisfied. Growing active. New size: 42
% 0.66/0.63 === Restarting.
% 0.66/0.63 === Backtracking. Learning clause 59:5:2:[11.5,57.1]:TopTop: distinct_points(x0,skc3),distinct_lines(line_connecting(skc1,skc2),x1) -> apart_point_and_line(x0,line_connecting(skc1,skc2)),apart_point_and_line(x0,x1),apart_point_and_line(skc3,x1)
% 0.66/0.63 === Backtracking. Learning clause 60:2:1:[13.1,58.1]:Top: -> distinct_lines(line_connecting(skc2,skc1),x0),apart_point_and_line(skc3,x0)
% 0.66/0.63 === Backtracking. Learning clause 61:1:2:[28.2,25.1]:TopTop: -> convergent_lines(orthogonal_through_point(x0,x1),x0)
% 0.66/0.63 === Clause set with instances from active satisfied. Growing active. New size: 61
% 0.66/0.63 === Restarting.
% 0.66/0.63 === Backtracking. Learning clause 62:2:3:[13.3,17.1,54.1]:TopTopTop: apart_point_and_line(x0,x1) -> convergent_lines(x1,x2)
% 0.66/0.63 === Conflict found: 59:5:2:[11.5,57.1]:TopTop: distinct_points(x0,skc3),distinct_lines(line_connecting(skc1,skc2),x1) -> apart_point_and_line(x0,line_connecting(skc1,skc2)),apart_point_and_line(x0,x1),apart_point_and_line(skc3,x1) {x0 -> skc1, x1 -> skc1}
% 0.66/0.63 === Backtracking. Learning clause 65:4:2:[50.0,63.0,49.0,64.1,59.3,7.2,5.3]:TopTop: distinct_lines(x0,line_connecting(skc1,skc2)) -> apart_point_and_line(skc1,x1),apart_point_and_line(skc3,x1),distinct_lines(x0,x1)
% 0.66/0.63 === Conflict found: 59:5:2:[11.5,57.1]:TopTop: distinct_points(x0,skc3),distinct_lines(line_connecting(skc1,skc2),x1) -> apart_point_and_line(x0,line_connecting(skc1,skc2)),apart_point_and_line(x0,x1),apart_point_and_line(skc3,x1) {x0 -> skc1, x1 -> skc1}
% 0.66/0.63 === Backtracking. Learning clause 68:3:1:[50.0,66.0,49.0,67.2,59.3,7.2]:Top: distinct_lines(line_connecting(skc1,skc2),x0) -> apart_point_and_line(skc1,x0),apart_point_and_line(skc3,x0)
% 0.66/0.63 === Clause set with instances from active satisfied. Growing active. New size: 74
% 0.66/0.63 === Restarting.
% 0.66/0.63 === Backtracking. Learning clause 69:5:4:[11.6,26.1]:TopTopTopTop: distinct_points(x0,x1),distinct_lines(x2,orthogonal_through_point(x3,x1)) -> apart_point_and_line(x0,x2),apart_point_and_line(x0,orthogonal_through_point(x3,x1)),apart_point_and_line(x1,x2)
% 0.66/0.63 === Clause set with instances from active satisfied. Growing active. New size: 83
% 0.66/0.63 === Restarting.
% 0.66/0.63 === Backtracking. Learning clause 70:4:3:[11.4,7.2,8.2]:TopTopTop: distinct_lines(x2,line_connecting(x0,x1)),distinct_points(x0,x1) -> apart_point_and_line(x0,x2),apart_point_and_line(x1,x2)
% 0.66/0.63 === Clause set with instances from active satisfied. Growing active. New size: 85
% 0.66/0.63 === Restarting.
% 0.66/0.63 === Backtracking. Learning clause 71:2:3:[6.1,61.1]:TopTopTop: -> convergent_lines(orthogonal_through_point(x0,x1),x2),convergent_lines(x0,x2)
% 0.66/0.63 === Backtracking. Learning clause 73:5:5:[62.0,72.4,11.3,9.2,62.1]:TopTopTopTopTop: distinct_points(intersection_point(x0,x1),x2),distinct_lines(x0,x3),convergent_lines(x0,x1) -> apart_point_and_line(x2,x0),convergent_lines(x3,x4)
% 0.66/0.63 === Clause set with instances from active satisfied. Growing active. New size: 87
% 0.66/0.63 === Restarting.
% 0.66/0.63 === Conflict found: 73:5:5:[62.0,72.4,11.3,9.2,62.1]:TopTopTopTopTop: distinct_points(intersection_point(x0,x1),x2),distinct_lines(x0,x3),convergent_lines(x0,x1) -> apart_point_and_line(x2,x0),convergent_lines(x3,x4) {x0 -> skc1, x1 -> orthogonal_through_point(skc1,skc1), x2 -> skc1, x3 -> orthogonal_through_point(skc1,skc1), x4 -> orthogonal_through_point(skc1,skc1)}
% 0.66/0.63 === Backtracking. Learning clause 74:4:4:[73.5,3.1]:TopTopTopTop: distinct_points(intersection_point(x0,x1),x2),distinct_lines(x0,x3),convergent_lines(x0,x1) -> apart_point_and_line(x2,x0)
% 0.66/0.63 === Conflict found: 62:2:3:[13.3,17.1,54.1]:TopTopTop: apart_point_and_line(x0,x1) -> convergent_lines(x1,x2) {x0 -> skc3, x1 -> orthogonal_through_point(skc1,skc1), x2 -> orthogonal_through_point(skc1,skc1)}
% 0.66/0.63 === Backtracking. Learning clause 75:4:4:[62.2,3.1,69.4]:TopTopTopTop: distinct_points(x0,x1),distinct_lines(x2,orthogonal_through_point(x3,x1)) -> apart_point_and_line(x0,x2),apart_point_and_line(x1,x2)
% 0.66/0.63 === Conflict found: 71:2:3:[6.1,61.1]:TopTopTop: -> convergent_lines(orthogonal_through_point(x0,x1),x2),convergent_lines(x0,x2) {x0 -> skc1, x1 -> skc1, x2 -> orthogonal_through_point(skc1,skc1)}
% 0.66/0.63 === Backtracking. Learning clause 76:1:2:[71.1,3.1]:TopTop: -> convergent_lines(x0,orthogonal_through_point(x0,x1))
% 0.66/0.63 === Conflict found: 62:2:3:[13.3,17.1,54.1]:TopTopTop: apart_point_and_line(x0,x1) -> convergent_lines(x1,x2) {x0 -> skc3, x1 -> orthogonal_through_point(skc1,skc1), x2 -> orthogonal_through_point(skc1,skc1)}
% 0.66/0.63 === Backtracking. Learning clause 77:4:4:[62.2,3.1,11.3,26.1]:TopTopTopTop: distinct_points(x0,x1),distinct_lines(orthogonal_through_point(x2,x1),x3) -> apart_point_and_line(x0,x3),apart_point_and_line(x1,x3)
% 0.66/0.63
% 0.66/0.63 SZS status Unsatisfiable
% 0.66/0.63
% 0.66/0.63 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.63
% 0.66/0.63 SPASS-SCL-FOL Statistics:
% 0.66/0.63 Number of learned clauses: 19
% 0.66/0.63 Number of propagations: 917
% 0.66/0.63 Number of decisions: 254
% 0.66/0.63 Number of resolutions: 35
% 0.66/0.63 Number of condensations: 0
% 0.66/0.63 Number of sub resolutions: 5
% 0.66/0.63 Number of input literals (deduplicated): 36
% 0.66/0.63 Number of grows: 6
% 0.66/0.63 Number of considered ground atoms: 87
% 0.66/0.63
% 0.66/0.63 Needed: 0:00:00.09
% 0.66/0.63
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