TSTP Solution File: GRP644+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n032.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 10:14:27 EDT 2022

% Result   : Theorem 0.26s 1.34s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.10  % Command  : leancop_casc.sh %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon Jun 13 06:50:41 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.26/1.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/1.35  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/1.35  
% 0.26/1.35  %-----------------------------------------------------
% 0.26/1.35  fof(t22_latsubgr, conjecture, ! [_93856] : (~ v3_struct_0(_93856) & v3_group_1(_93856) & v4_group_1(_93856) & l1_group_1(_93856) => ! [_93894] : (v1_group_1(_93894) & m1_group_2(_93894, _93856) => ! [_93919] : (m1_subset_1(_93919, u1_struct_0(_93856)) => r2_hidden(_93919, k1_funct_1(k1_latsubgr(_93856), _93894)) => r2_hidden(k3_group_1(_93856, _93919), k1_funct_1(k1_latsubgr(_93856), _93894))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_latsubgr)).
% 0.26/1.35  fof(dt_k3_group_1, axiom, ! [_94446, _94449] : (~ v3_struct_0(_94446) & v3_group_1(_94446) & v4_group_1(_94446) & l1_group_1(_94446) & m1_subset_1(_94449, u1_struct_0(_94446)) => m1_subset_1(k3_group_1(_94446, _94449), u1_struct_0(_94446))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_group_1)).
% 0.26/1.35  fof(t18_latsubgr, axiom, ! [_94758] : (~ v3_struct_0(_94758) & v3_group_1(_94758) & v4_group_1(_94758) & l1_group_1(_94758) => ! [_94796] : (v1_group_1(_94796) & m1_group_2(_94796, _94758) => ! [_94821] : (m1_subset_1(_94821, u1_struct_0(_94758)) => (r2_hidden(_94821, k1_funct_1(k1_latsubgr(_94758), _94796)) <=> r1_rlvect_1(_94796, _94821))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_latsubgr)).
% 0.26/1.35  fof(t60_group_2, axiom, ! [_95173] : (~ v3_struct_0(_95173) & v3_group_1(_95173) & v4_group_1(_95173) & l1_group_1(_95173) => ! [_95211] : (m1_subset_1(_95211, u1_struct_0(_95173)) => ! [_95233] : (m1_group_2(_95233, _95173) => r1_rlvect_1(_95233, _95211) => r1_rlvect_1(_95233, k3_group_1(_95173, _95211))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t60_group_2)).
% 0.26/1.35  
% 0.26/1.35  cnf(1, plain, [v3_struct_0(15 ^ [])], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(2, plain, [-(v3_group_1(15 ^ []))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(3, plain, [-(v4_group_1(15 ^ []))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(4, plain, [-(l1_group_1(15 ^ []))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(5, plain, [-(v1_group_1(16 ^ []))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(6, plain, [-(m1_group_2(16 ^ [], 15 ^ []))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(7, plain, [-(m1_subset_1(17 ^ [], u1_struct_0(15 ^ [])))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(8, plain, [-(r2_hidden(17 ^ [], k1_funct_1(k1_latsubgr(15 ^ []), 16 ^ [])))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(9, plain, [r2_hidden(k3_group_1(15 ^ [], 17 ^ []), k1_funct_1(k1_latsubgr(15 ^ []), 16 ^ []))], clausify(t22_latsubgr)).
% 0.26/1.35  cnf(10, plain, [-(_27435 = _27435)], theory(equality)).
% 0.26/1.35  cnf(11, plain, [-(r1_rlvect_1(_32366, _32497)), r1_rlvect_1(_32299, _32432), _32299 = _32366, _32432 = _32497], theory(equality)).
% 0.26/1.35  cnf(12, plain, [-(m1_subset_1(k3_group_1(_49217, _49291), u1_struct_0(_49217))), -(v3_struct_0(_49217)), v3_group_1(_49217), v4_group_1(_49217), l1_group_1(_49217), m1_subset_1(_49291, u1_struct_0(_49217))], clausify(dt_k3_group_1)).
% 0.26/1.35  cnf(13, plain, [l1_group_1(_60064), v4_group_1(_60064), v3_group_1(_60064), -(v3_struct_0(_60064)), m1_group_2(_60373, _60064), v1_group_1(_60373), m1_subset_1(_60558, u1_struct_0(_60064)), r2_hidden(_60558, k1_funct_1(k1_latsubgr(_60064), _60373)), -(r1_rlvect_1(_60373, _60558))], clausify(t18_latsubgr)).
% 0.26/1.35  cnf(14, plain, [l1_group_1(_60064), v4_group_1(_60064), v3_group_1(_60064), -(v3_struct_0(_60064)), m1_group_2(_60373, _60064), v1_group_1(_60373), m1_subset_1(_60558, u1_struct_0(_60064)), -(r2_hidden(_60558, k1_funct_1(k1_latsubgr(_60064), _60373))), r1_rlvect_1(_60373, _60558)], clausify(t18_latsubgr)).
% 0.26/1.35  cnf(15, plain, [l1_group_1(_63009), v4_group_1(_63009), v3_group_1(_63009), -(v3_struct_0(_63009)), m1_subset_1(_63311, u1_struct_0(_63009)), m1_group_2(_63452, _63009), r1_rlvect_1(_63452, _63311), -(r1_rlvect_1(_63452, k3_group_1(_63009, _63311)))], clausify(t60_group_2)).
% 0.26/1.35  
% 0.26/1.35  cnf('1',plain,[v3_struct_0(15 ^ [])],start(1)).
% 0.26/1.35  cnf('1.1',plain,[-(v3_struct_0(15 ^ [])), l1_group_1(15 ^ []), v4_group_1(15 ^ []), v3_group_1(15 ^ []), m1_subset_1(17 ^ [], u1_struct_0(15 ^ [])), m1_group_2(16 ^ [], 15 ^ []), r1_rlvect_1(16 ^ [], 17 ^ []), -(r1_rlvect_1(16 ^ [], k3_group_1(15 ^ [], 17 ^ [])))],extension(15,bind([[_63452, _63009, _63311], [16 ^ [], 15 ^ [], 17 ^ []]]))).
% 0.26/1.35  cnf('1.1.1',plain,[-(l1_group_1(15 ^ []))],extension(4)).
% 0.26/1.35  cnf('1.1.2',plain,[-(v4_group_1(15 ^ []))],extension(3)).
% 0.26/1.35  cnf('1.1.3',plain,[-(v3_group_1(15 ^ []))],extension(2)).
% 0.26/1.35  cnf('1.1.4',plain,[-(m1_subset_1(17 ^ [], u1_struct_0(15 ^ [])))],extension(7)).
% 0.26/1.35  cnf('1.1.5',plain,[-(m1_group_2(16 ^ [], 15 ^ []))],extension(6)).
% 0.26/1.35  cnf('1.1.6',plain,[-(r1_rlvect_1(16 ^ [], 17 ^ [])), r1_rlvect_1(16 ^ [], 17 ^ []), 16 ^ [] = 16 ^ [], 17 ^ [] = 17 ^ []],extension(11,bind([[_32299, _32366, _32432, _32497], [16 ^ [], 16 ^ [], 17 ^ [], 17 ^ []]]))).
% 0.26/1.35  cnf('1.1.6.1',plain,[-(r1_rlvect_1(16 ^ [], 17 ^ [])), l1_group_1(15 ^ []), v4_group_1(15 ^ []), v3_group_1(15 ^ []), -(v3_struct_0(15 ^ [])), m1_group_2(16 ^ [], 15 ^ []), v1_group_1(16 ^ []), m1_subset_1(17 ^ [], u1_struct_0(15 ^ [])), r2_hidden(17 ^ [], k1_funct_1(k1_latsubgr(15 ^ []), 16 ^ []))],extension(13,bind([[_60558, _60064, _60373], [17 ^ [], 15 ^ [], 16 ^ []]]))).
% 0.26/1.35  cnf('1.1.6.1.1',plain,[-(l1_group_1(15 ^ []))],extension(4)).
% 0.26/1.35  cnf('1.1.6.1.2',plain,[-(v4_group_1(15 ^ []))],extension(3)).
% 0.26/1.35  cnf('1.1.6.1.3',plain,[-(v3_group_1(15 ^ []))],extension(2)).
% 0.26/1.35  cnf('1.1.6.1.4',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 0.26/1.35  cnf('1.1.6.1.5',plain,[-(m1_group_2(16 ^ [], 15 ^ []))],extension(6)).
% 0.26/1.35  cnf('1.1.6.1.6',plain,[-(v1_group_1(16 ^ []))],extension(5)).
% 0.26/1.35  cnf('1.1.6.1.7',plain,[-(m1_subset_1(17 ^ [], u1_struct_0(15 ^ [])))],extension(7)).
% 0.26/1.35  cnf('1.1.6.1.8',plain,[-(r2_hidden(17 ^ [], k1_funct_1(k1_latsubgr(15 ^ []), 16 ^ [])))],extension(8)).
% 0.26/1.35  cnf('1.1.6.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_27435], [16 ^ []]]))).
% 0.26/1.35  cnf('1.1.6.3',plain,[-(17 ^ [] = 17 ^ [])],extension(10,bind([[_27435], [17 ^ []]]))).
% 0.26/1.35  cnf('1.1.7',plain,[r1_rlvect_1(16 ^ [], k3_group_1(15 ^ [], 17 ^ [])), l1_group_1(15 ^ []), v4_group_1(15 ^ []), v3_group_1(15 ^ []), -(v3_struct_0(15 ^ [])), m1_group_2(16 ^ [], 15 ^ []), v1_group_1(16 ^ []), m1_subset_1(k3_group_1(15 ^ [], 17 ^ []), u1_struct_0(15 ^ [])), -(r2_hidden(k3_group_1(15 ^ [], 17 ^ []), k1_funct_1(k1_latsubgr(15 ^ []), 16 ^ [])))],extension(14,bind([[_60558, _60064, _60373], [k3_group_1(15 ^ [], 17 ^ []), 15 ^ [], 16 ^ []]]))).
% 0.26/1.35  cnf('1.1.7.1',plain,[-(l1_group_1(15 ^ []))],extension(4)).
% 0.26/1.35  cnf('1.1.7.2',plain,[-(v4_group_1(15 ^ []))],extension(3)).
% 0.26/1.35  cnf('1.1.7.3',plain,[-(v3_group_1(15 ^ []))],extension(2)).
% 0.26/1.35  cnf('1.1.7.4',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 0.26/1.35  cnf('1.1.7.5',plain,[-(m1_group_2(16 ^ [], 15 ^ []))],extension(6)).
% 0.26/1.35  cnf('1.1.7.6',plain,[-(v1_group_1(16 ^ []))],extension(5)).
% 0.26/1.35  cnf('1.1.7.7',plain,[-(m1_subset_1(k3_group_1(15 ^ [], 17 ^ []), u1_struct_0(15 ^ []))), -(v3_struct_0(15 ^ [])), v3_group_1(15 ^ []), v4_group_1(15 ^ []), l1_group_1(15 ^ []), m1_subset_1(17 ^ [], u1_struct_0(15 ^ []))],extension(12,bind([[_49291, _49217], [17 ^ [], 15 ^ []]]))).
% 0.26/1.35  cnf('1.1.7.7.1',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 0.26/1.35  cnf('1.1.7.7.2',plain,[-(v3_group_1(15 ^ []))],extension(2)).
% 0.26/1.35  cnf('1.1.7.7.3',plain,[-(v4_group_1(15 ^ []))],extension(3)).
% 0.26/1.35  cnf('1.1.7.7.4',plain,[-(l1_group_1(15 ^ []))],extension(4)).
% 0.26/1.35  cnf('1.1.7.7.5',plain,[-(m1_subset_1(17 ^ [], u1_struct_0(15 ^ [])))],extension(7)).
% 0.26/1.35  cnf('1.1.7.8',plain,[r2_hidden(k3_group_1(15 ^ [], 17 ^ []), k1_funct_1(k1_latsubgr(15 ^ []), 16 ^ []))],extension(9)).
% 0.26/1.35  %-----------------------------------------------------
% 0.26/1.36  
% 0.26/1.36  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------