TSTP Solution File: SWV115+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 : Wed Jul 20 19:49:35 EDT 2022
% Result : Theorem 0.37s 1.42s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV115+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n013.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 : Wed Jun 15 10:07:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.43
% 0.37/1.43 %-----------------------------------------------------
% 0.37/1.43 fof(quaternion_ds1_symm_0008, conjecture, leq(n0, pv5) & leq(pv5, minus(n999, n1)) & ! [_234053, _234056] : (leq(n0, _234053) & leq(n0, _234056) & leq(_234053, minus(n6, n1)) & leq(_234056, minus(n6, n1)) => a_select3(q_ds1_filter, _234053, _234056) = a_select3(q_ds1_filter, _234056, _234053)) & ! [_234144, _234147] : (leq(n0, _234144) & leq(n0, _234147) & leq(_234144, minus(n3, n1)) & leq(_234147, minus(n3, n1)) => a_select3(r_ds1_filter, _234144, _234147) = a_select3(r_ds1_filter, _234147, _234144)) & ! [_234235, _234238] : (leq(n0, _234235) & leq(n0, _234238) & leq(_234235, minus(n6, n1)) & leq(_234238, minus(n6, n1)) => a_select3(pminus_ds1_filter, _234235, _234238) = a_select3(pminus_ds1_filter, _234238, _234235)) & ! [_234326, _234329] : (leq(n0, _234326) & leq(n0, _234329) & leq(_234326, minus(n6, n1)) & leq(_234329, minus(n6, n1)) => a_select3(pminus_ds1_filter, _234326, _234329) = a_select3(pminus_ds1_filter, _234329, _234326)) & ! [_234417] : (leq(n0, _234417) & leq(_234417, minus(n6, n1)) => ! [_234452] : (leq(n0, _234452) & leq(_234452, minus(n6, n1)) => a_select3(id_ds1_filter, _234417, _234452) = a_select3(id_ds1_filter, _234452, _234417))) => leq(n0, pv5) & leq(pv5, minus(n999, n1)) & ! [_234540, _234543] : (leq(n0, _234540) & leq(n0, _234543) & leq(_234540, minus(n6, n1)) & leq(_234543, minus(n6, n1)) => a_select3(q_ds1_filter, _234540, _234543) = a_select3(q_ds1_filter, _234543, _234540)) & ! [_234631, _234634] : (leq(n0, _234631) & leq(n0, _234634) & leq(_234631, minus(n3, n1)) & leq(_234634, minus(n3, n1)) => a_select3(r_ds1_filter, _234631, _234634) = a_select3(r_ds1_filter, _234634, _234631)) & ! [_234722, _234725] : (leq(n0, _234722) & leq(n0, _234725) & leq(_234722, minus(n6, n1)) & leq(_234725, minus(n6, n1)) => a_select3(pminus_ds1_filter, _234722, _234725) = a_select3(pminus_ds1_filter, _234725, _234722)) & ! [_234813, _234816] : (leq(n0, _234813) & leq(n0, _234816) & leq(_234813, minus(n6, n1)) & leq(_234816, minus(n6, n1)) => a_select3(pminus_ds1_filter, _234813, _234816) = a_select3(pminus_ds1_filter, _234816, _234813)) & ! [_234904] : (leq(n0, _234904) & leq(_234904, minus(n6, n1)) => ! [_234939] : (leq(n0, _234939) & leq(_234939, minus(n6, n1)) => a_select3(id_ds1_filter, _234904, _234939) = a_select3(id_ds1_filter, _234939, _234904))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quaternion_ds1_symm_0008)).
% 0.37/1.43
% 0.37/1.43 cnf(1, plain, [-(42 ^ []), a_select3(id_ds1_filter, 40 ^ [], 41 ^ []) = a_select3(id_ds1_filter, 41 ^ [], 40 ^ [])], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(2, plain, [-(42 ^ []), -(leq(41 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(3, plain, [-(42 ^ []), -(leq(n0, 41 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(4, plain, [-(42 ^ []), -(leq(40 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(5, plain, [-(42 ^ []), -(leq(n0, 40 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(6, plain, [-(39 ^ []), a_select3(pminus_ds1_filter, 37 ^ [], 38 ^ []) = a_select3(pminus_ds1_filter, 38 ^ [], 37 ^ [])], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(7, plain, [-(39 ^ []), -(leq(38 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(8, plain, [-(39 ^ []), -(leq(37 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(9, plain, [-(39 ^ []), -(leq(n0, 38 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(10, plain, [-(39 ^ []), -(leq(n0, 37 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(11, plain, [-(36 ^ []), a_select3(pminus_ds1_filter, 34 ^ [], 35 ^ []) = a_select3(pminus_ds1_filter, 35 ^ [], 34 ^ [])], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(12, plain, [-(36 ^ []), -(leq(35 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(13, plain, [-(36 ^ []), -(leq(34 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(14, plain, [-(36 ^ []), -(leq(n0, 35 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(15, plain, [-(36 ^ []), -(leq(n0, 34 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(16, plain, [-(33 ^ []), a_select3(r_ds1_filter, 31 ^ [], 32 ^ []) = a_select3(r_ds1_filter, 32 ^ [], 31 ^ [])], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(17, plain, [-(33 ^ []), -(leq(32 ^ [], minus(n3, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(18, plain, [-(33 ^ []), -(leq(31 ^ [], minus(n3, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(19, plain, [-(33 ^ []), -(leq(n0, 32 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(20, plain, [-(33 ^ []), -(leq(n0, 31 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(21, plain, [-(30 ^ []), a_select3(q_ds1_filter, 28 ^ [], 29 ^ []) = a_select3(q_ds1_filter, 29 ^ [], 28 ^ [])], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(22, plain, [-(30 ^ []), -(leq(29 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(23, plain, [-(30 ^ []), -(leq(28 ^ [], minus(n6, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(24, plain, [-(30 ^ []), -(leq(n0, 29 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(25, plain, [-(30 ^ []), -(leq(n0, 28 ^ []))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(26, plain, [leq(n0, pv5), leq(pv5, minus(n999, n1)), 30 ^ [], 33 ^ [], 36 ^ [], 39 ^ [], 42 ^ []], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(27, plain, [-(leq(n0, pv5))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(28, plain, [-(leq(pv5, minus(n999, n1)))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(29, plain, [-(a_select3(q_ds1_filter, _118718, _118789) = a_select3(q_ds1_filter, _118789, _118718)), leq(n0, _118718), leq(n0, _118789), leq(_118718, minus(n6, n1)), leq(_118789, minus(n6, n1))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(30, plain, [-(a_select3(r_ds1_filter, _119456, _119527) = a_select3(r_ds1_filter, _119527, _119456)), leq(n0, _119456), leq(n0, _119527), leq(_119456, minus(n3, n1)), leq(_119527, minus(n3, n1))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(31, plain, [-(a_select3(pminus_ds1_filter, _120194, _120265) = a_select3(pminus_ds1_filter, _120265, _120194)), leq(n0, _120194), leq(n0, _120265), leq(_120194, minus(n6, n1)), leq(_120265, minus(n6, n1))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43 cnf(32, plain, [leq(_121660, minus(n6, n1)), leq(n0, _121660), -(a_select3(id_ds1_filter, _121660, _121901) = a_select3(id_ds1_filter, _121901, _121660)), leq(n0, _121901), leq(_121901, minus(n6, n1))], clausify(quaternion_ds1_symm_0008)).
% 0.37/1.43
% 0.37/1.43 cnf('1',plain,[leq(n0, pv5), leq(pv5, minus(n999, n1)), 30 ^ [], 33 ^ [], 36 ^ [], 39 ^ [], 42 ^ []],start(26)).
% 0.37/1.43 cnf('1.1',plain,[-(leq(n0, pv5))],extension(27)).
% 0.37/1.43 cnf('1.2',plain,[-(leq(pv5, minus(n999, n1)))],extension(28)).
% 0.37/1.43 cnf('1.3',plain,[-(30 ^ []), a_select3(q_ds1_filter, 28 ^ [], 29 ^ []) = a_select3(q_ds1_filter, 29 ^ [], 28 ^ [])],extension(21)).
% 0.37/1.43 cnf('1.3.1',plain,[-(a_select3(q_ds1_filter, 28 ^ [], 29 ^ []) = a_select3(q_ds1_filter, 29 ^ [], 28 ^ [])), leq(n0, 28 ^ []), leq(n0, 29 ^ []), leq(28 ^ [], minus(n6, n1)), leq(29 ^ [], minus(n6, n1))],extension(29,bind([[_118718, _118789], [28 ^ [], 29 ^ []]]))).
% 0.37/1.43 cnf('1.3.1.1',plain,[-(leq(n0, 28 ^ [])), -(30 ^ [])],extension(25)).
% 0.37/1.43 cnf('1.3.1.1.1',plain,[30 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.3.1.2',plain,[-(leq(n0, 29 ^ [])), -(30 ^ [])],extension(24)).
% 0.37/1.43 cnf('1.3.1.2.1',plain,[30 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.3.1.3',plain,[-(leq(28 ^ [], minus(n6, n1))), -(30 ^ [])],extension(23)).
% 0.37/1.43 cnf('1.3.1.3.1',plain,[30 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.3.1.4',plain,[-(leq(29 ^ [], minus(n6, n1))), -(30 ^ [])],extension(22)).
% 0.37/1.43 cnf('1.3.1.4.1',plain,[30 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.4',plain,[-(33 ^ []), a_select3(r_ds1_filter, 31 ^ [], 32 ^ []) = a_select3(r_ds1_filter, 32 ^ [], 31 ^ [])],extension(16)).
% 0.37/1.43 cnf('1.4.1',plain,[-(a_select3(r_ds1_filter, 31 ^ [], 32 ^ []) = a_select3(r_ds1_filter, 32 ^ [], 31 ^ [])), leq(n0, 31 ^ []), leq(n0, 32 ^ []), leq(31 ^ [], minus(n3, n1)), leq(32 ^ [], minus(n3, n1))],extension(30,bind([[_119456, _119527], [31 ^ [], 32 ^ []]]))).
% 0.37/1.43 cnf('1.4.1.1',plain,[-(leq(n0, 31 ^ [])), -(33 ^ [])],extension(20)).
% 0.37/1.43 cnf('1.4.1.1.1',plain,[33 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.4.1.2',plain,[-(leq(n0, 32 ^ [])), -(33 ^ [])],extension(19)).
% 0.37/1.43 cnf('1.4.1.2.1',plain,[33 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.4.1.3',plain,[-(leq(31 ^ [], minus(n3, n1))), -(33 ^ [])],extension(18)).
% 0.37/1.43 cnf('1.4.1.3.1',plain,[33 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.4.1.4',plain,[-(leq(32 ^ [], minus(n3, n1))), -(33 ^ [])],extension(17)).
% 0.37/1.43 cnf('1.4.1.4.1',plain,[33 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.5',plain,[-(36 ^ []), a_select3(pminus_ds1_filter, 34 ^ [], 35 ^ []) = a_select3(pminus_ds1_filter, 35 ^ [], 34 ^ [])],extension(11)).
% 0.37/1.43 cnf('1.5.1',plain,[-(a_select3(pminus_ds1_filter, 34 ^ [], 35 ^ []) = a_select3(pminus_ds1_filter, 35 ^ [], 34 ^ [])), leq(n0, 34 ^ []), leq(n0, 35 ^ []), leq(34 ^ [], minus(n6, n1)), leq(35 ^ [], minus(n6, n1))],extension(31,bind([[_120194, _120265], [34 ^ [], 35 ^ []]]))).
% 0.37/1.43 cnf('1.5.1.1',plain,[-(leq(n0, 34 ^ [])), -(36 ^ [])],extension(15)).
% 0.37/1.43 cnf('1.5.1.1.1',plain,[36 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.5.1.2',plain,[-(leq(n0, 35 ^ [])), -(36 ^ [])],extension(14)).
% 0.37/1.43 cnf('1.5.1.2.1',plain,[36 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.5.1.3',plain,[-(leq(34 ^ [], minus(n6, n1))), -(36 ^ [])],extension(13)).
% 0.37/1.43 cnf('1.5.1.3.1',plain,[36 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.5.1.4',plain,[-(leq(35 ^ [], minus(n6, n1))), -(36 ^ [])],extension(12)).
% 0.37/1.43 cnf('1.5.1.4.1',plain,[36 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.6',plain,[-(39 ^ []), a_select3(pminus_ds1_filter, 37 ^ [], 38 ^ []) = a_select3(pminus_ds1_filter, 38 ^ [], 37 ^ [])],extension(6)).
% 0.37/1.43 cnf('1.6.1',plain,[-(a_select3(pminus_ds1_filter, 37 ^ [], 38 ^ []) = a_select3(pminus_ds1_filter, 38 ^ [], 37 ^ [])), leq(n0, 37 ^ []), leq(n0, 38 ^ []), leq(37 ^ [], minus(n6, n1)), leq(38 ^ [], minus(n6, n1))],extension(31,bind([[_120194, _120265], [37 ^ [], 38 ^ []]]))).
% 0.37/1.43 cnf('1.6.1.1',plain,[-(leq(n0, 37 ^ [])), -(39 ^ [])],extension(10)).
% 0.37/1.43 cnf('1.6.1.1.1',plain,[39 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.6.1.2',plain,[-(leq(n0, 38 ^ [])), -(39 ^ [])],extension(9)).
% 0.37/1.43 cnf('1.6.1.2.1',plain,[39 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.6.1.3',plain,[-(leq(37 ^ [], minus(n6, n1))), -(39 ^ [])],extension(8)).
% 0.37/1.43 cnf('1.6.1.3.1',plain,[39 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.6.1.4',plain,[-(leq(38 ^ [], minus(n6, n1))), -(39 ^ [])],extension(7)).
% 0.37/1.43 cnf('1.6.1.4.1',plain,[39 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.7',plain,[-(42 ^ []), a_select3(id_ds1_filter, 40 ^ [], 41 ^ []) = a_select3(id_ds1_filter, 41 ^ [], 40 ^ [])],extension(1)).
% 0.37/1.43 cnf('1.7.1',plain,[-(a_select3(id_ds1_filter, 40 ^ [], 41 ^ []) = a_select3(id_ds1_filter, 41 ^ [], 40 ^ [])), leq(40 ^ [], minus(n6, n1)), leq(n0, 40 ^ []), leq(n0, 41 ^ []), leq(41 ^ [], minus(n6, n1))],extension(32,bind([[_121660, _121901], [40 ^ [], 41 ^ []]]))).
% 0.37/1.43 cnf('1.7.1.1',plain,[-(leq(40 ^ [], minus(n6, n1))), -(42 ^ [])],extension(4)).
% 0.37/1.43 cnf('1.7.1.1.1',plain,[42 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.7.1.2',plain,[-(leq(n0, 40 ^ [])), -(42 ^ [])],extension(5)).
% 0.37/1.43 cnf('1.7.1.2.1',plain,[42 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.7.1.3',plain,[-(leq(n0, 41 ^ [])), -(42 ^ [])],extension(3)).
% 0.37/1.43 cnf('1.7.1.3.1',plain,[42 ^ []],reduction('1')).
% 0.37/1.43 cnf('1.7.1.4',plain,[-(leq(41 ^ [], minus(n6, n1))), -(42 ^ [])],extension(2)).
% 0.37/1.43 cnf('1.7.1.4.1',plain,[42 ^ []],reduction('1')).
% 0.37/1.43 %-----------------------------------------------------
% 0.47/1.44
% 0.47/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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