TSTP Solution File: GEO212+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO212+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 : 600s
% DateTime : Sat Jul 16 05:03:45 EDT 2022
% Result : Theorem 2.02s 2.45s
% Output : Proof 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO212+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 01:58:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.02/2.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/2.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/2.46
% 2.02/2.46 %-----------------------------------------------------
% 2.02/2.46 fof(con, conjecture, ! [_31169, _31172, _31175] : (unorthogonal_lines(_31169, _31172) => convergent_lines(_31169, _31175) | unorthogonal_lines(_31172, _31175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 2.02/2.46 fof(occu1, axiom, ! [_31379, _31382] : (convergent_lines(_31379, _31382) | unorthogonal_lines(_31379, _31382)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 2.02/2.46 fof(oac1, axiom, ! [_31525, _31528, _31531] : (convergent_lines(_31525, _31528) & unorthogonal_lines(_31525, _31528) => convergent_lines(_31525, _31531) & unorthogonal_lines(_31525, _31531) | convergent_lines(_31528, _31531) & unorthogonal_lines(_31528, _31531)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', oac1)).
% 2.02/2.46 fof(apart3, axiom, ! [_31824] : ~ convergent_lines(_31824, _31824), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart3)).
% 2.02/2.46 fof(apart6, axiom, ! [_31940, _31943, _31946] : (convergent_lines(_31940, _31943) => convergent_lines(_31940, _31946) | convergent_lines(_31943, _31946)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart6)).
% 2.02/2.46
% 2.02/2.46 cnf(1, plain, [-(unorthogonal_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 2.02/2.46 cnf(2, plain, [convergent_lines(1 ^ [], 3 ^ [])], clausify(con)).
% 2.02/2.46 cnf(3, plain, [unorthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 2.02/2.46 cnf(4, plain, [-(convergent_lines(_14705, _14750)), -(unorthogonal_lines(_14705, _14750))], clausify(occu1)).
% 2.02/2.46 cnf(5, plain, [unorthogonal_lines(_15015, _15089), convergent_lines(_15015, _15089), -(convergent_lines(_15015, _15162)), -(convergent_lines(_15089, _15162))], clausify(oac1)).
% 2.02/2.46 cnf(6, plain, [unorthogonal_lines(_15015, _15089), convergent_lines(_15015, _15089), -(convergent_lines(_15015, _15162)), -(unorthogonal_lines(_15089, _15162))], clausify(oac1)).
% 2.02/2.46 cnf(7, plain, [unorthogonal_lines(_15015, _15089), convergent_lines(_15015, _15089), -(unorthogonal_lines(_15015, _15162)), -(unorthogonal_lines(_15089, _15162))], clausify(oac1)).
% 2.02/2.46 cnf(8, plain, [convergent_lines(_8499, _8499)], clausify(apart3)).
% 2.02/2.46 cnf(9, plain, [convergent_lines(_9625, _9681), -(convergent_lines(_9625, _9736)), -(convergent_lines(_9681, _9736))], clausify(apart6)).
% 2.02/2.46
% 2.02/2.46 cnf('1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],start(3)).
% 2.02/2.46 cnf('1.1',plain,[-(unorthogonal_lines(2 ^ [], 3 ^ [])), -(convergent_lines(2 ^ [], 3 ^ []))],extension(4,bind([[_14705, _14750], [2 ^ [], 3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1',plain,[convergent_lines(2 ^ [], 3 ^ []), -(convergent_lines(2 ^ [], 1 ^ [])), -(convergent_lines(3 ^ [], 1 ^ []))],extension(9,bind([[_9625, _9681, _9736], [2 ^ [], 3 ^ [], 1 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1',plain,[convergent_lines(2 ^ [], 1 ^ []), unorthogonal_lines(2 ^ [], 1 ^ []), -(convergent_lines(2 ^ [], 2 ^ [])), -(convergent_lines(1 ^ [], 2 ^ []))],extension(5,bind([[_15015, _15089, _15162], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.1',plain,[-(unorthogonal_lines(2 ^ [], 1 ^ [])), unorthogonal_lines(1 ^ [], 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(6,bind([[_15089, _15015, _15162], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.1.1',plain,[-(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 2.02/2.46 cnf('1.1.1.1.1.2',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(2 ^ [], 1 ^ []), -(convergent_lines(2 ^ [], 2 ^ []))],extension(9,bind([[_9681, _9625, _9736], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.1.2.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1.1')).
% 2.02/2.46 cnf('1.1.1.1.1.2.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(8,bind([[_8499], [2 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.1.3',plain,[convergent_lines(1 ^ [], 1 ^ []), unorthogonal_lines(1 ^ [], 1 ^ []), -(convergent_lines(1 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(5,bind([[_15015, _15089, _15162], [1 ^ [], 1 ^ [], 3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.1.3.1',plain,[-(unorthogonal_lines(1 ^ [], 1 ^ [])), unorthogonal_lines(1 ^ [], 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(unorthogonal_lines(2 ^ [], 1 ^ []))],extension(7,bind([[_15015, _15089, _15162], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.1.3.1.1',plain,[-(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 2.02/2.46 cnf('1.1.1.1.1.3.1.2',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],lemmata('1.1.1.1.1')).
% 2.02/2.46 cnf('1.1.1.1.1.3.1.3',plain,[unorthogonal_lines(2 ^ [], 1 ^ [])],reduction('1.1.1.1')).
% 2.02/2.46 cnf('1.1.1.1.1.3.2',plain,[convergent_lines(1 ^ [], 3 ^ [])],extension(2)).
% 2.02/2.46 cnf('1.1.1.1.1.3.3',plain,[convergent_lines(1 ^ [], 3 ^ [])],extension(2)).
% 2.02/2.46 cnf('1.1.1.1.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(8,bind([[_8499], [2 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.3',plain,[convergent_lines(1 ^ [], 2 ^ []), unorthogonal_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(6,bind([[_15015, _15089, _15162], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.1.3.1',plain,[-(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 2.02/2.46 cnf('1.1.1.1.3.2',plain,[convergent_lines(1 ^ [], 3 ^ [])],extension(2)).
% 2.02/2.46 cnf('1.1.1.1.3.3',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 2.02/2.46 cnf('1.1.1.2',plain,[convergent_lines(3 ^ [], 1 ^ []), unorthogonal_lines(3 ^ [], 1 ^ []), -(convergent_lines(3 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(5,bind([[_15015, _15089, _15162], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.1',plain,[-(unorthogonal_lines(3 ^ [], 1 ^ [])), unorthogonal_lines(1 ^ [], 3 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(6,bind([[_15089, _15015, _15162], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.1.1',plain,[-(unorthogonal_lines(1 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(4,bind([[_14705, _14750], [1 ^ [], 3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.1.1.1',plain,[convergent_lines(1 ^ [], 3 ^ [])],extension(2)).
% 2.02/2.46 cnf('1.1.1.2.1.2',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 1 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(9,bind([[_9681, _9625, _9736], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.1.2.1',plain,[-(convergent_lines(3 ^ [], 1 ^ []))],reduction('1.1.1')).
% 2.02/2.46 cnf('1.1.1.2.1.2.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(8,bind([[_8499], [3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.1.3',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(8,bind([[_8499], [1 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(8,bind([[_8499], [3 ^ []]]))).
% 2.02/2.46 cnf('1.1.1.2.3',plain,[convergent_lines(1 ^ [], 3 ^ [])],extension(2)).
% 2.02/2.46 %-----------------------------------------------------
% 2.11/2.46
% 2.11/2.47 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------