TSTP Solution File: LAT369+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LAT369+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 : Sun Jul 17 06:41:21 EDT 2022

% Result   : Theorem 3.63s 0.82s
% Output   : Proof 3.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    v2_orders_2(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g1,plain,
    v3_orders_2(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g2,plain,
    v4_orders_2(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g3,plain,
    v1_lattice3(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g4,plain,
    v2_lattice3(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g5,plain,
    v3_lattice3(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g6,plain,
    l1_orders_2(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g7,plain,
    v1_funct_1(sK1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g8,plain,
    v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g9,plain,
    v7_waybel_1(sK1,sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g10,plain,
    m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g11,plain,
    v4_waybel_0(k2_yellow_2(sK0,sK0,sK1),sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g12,plain,
    ~ v1_waybel34(k2_waybel_1(sK0,sK0,sK1),sK0,k2_yellow_2(sK0,sK0,sK1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g13,plain,
    ( ~ v1_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3)]) ).

cnf(g14,plain,
    ( ~ l1_orders_2(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v1_funct_1(k3_waybel_1(sK0,sK0,sK1))
    | v3_struct_0(sK0)
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel_1)]) ).

cnf(g15,plain,
    ( ~ l1_orders_2(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v1_funct_2(k3_waybel_1(sK0,sK0,sK1),u1_struct_0(k2_yellow_2(sK0,sK0,sK1)),u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel_1)]) ).

cnf(g16,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v7_waybel_1(sK1,sK0)
    | ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v4_waybel_0(k2_yellow_2(sK0,sK0,sK1),sK0)
    | v22_waybel_0(k3_waybel_1(sK0,sK0,sK1),k2_yellow_2(sK0,sK0,sK1),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel34)]) ).

cnf(g17,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v6_waybel_1(sK1,sK0)
    | v1_lattice3(k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34)]) ).

cnf(g18,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v6_waybel_1(sK1,sK0)
    | v4_orders_2(k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34)]) ).

cnf(g19,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v7_waybel_1(sK1,sK0)
    | ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v17_waybel_0(k3_waybel_1(sK0,sK0,sK1),k2_yellow_2(sK0,sK0,sK1),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34)]) ).

cnf(g20,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v7_waybel_1(sK1,sK0)
    | ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | sPE(k1_waybel34(k2_yellow_2(sK0,sK0,sK1),sK0,k3_waybel_1(sK0,sK0,sK1)),k2_waybel_1(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34)]) ).

cnf(g21,plain,
    ( ~ l1_orders_2(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | v3_struct_0(sK0)
    | m1_yellow_0(k2_yellow_2(sK0,sK0,sK1),sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_2)]) ).

cnf(g22,plain,
    ( ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v7_waybel_1(sK1,sK0)
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | v6_waybel_1(sK1,sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_waybel_1)]) ).

cnf(g23,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v6_waybel_1(sK1,sK0)
    | v2_lattice3(k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34)]) ).

cnf(g24,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v7_waybel_1(sK1,sK0)
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v2_orders_2(k2_yellow_2(sK0,sK0,sK1))
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel10)]) ).

cnf(g25,plain,
    ( ~ l1_orders_2(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | m2_relset_1(k3_waybel_1(sK0,sK0,sK1),u1_struct_0(k2_yellow_2(sK0,sK0,sK1)),u1_struct_0(sK0))
    | v3_struct_0(sK0)
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_1)]) ).

cnf(g26,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v6_waybel_1(sK1,sK0)
    | v3_lattice3(k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel34)]) ).

cnf(g27,plain,
    ( ~ v2_orders_2(sK0)
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(sK0)
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(sK1)
    | ~ v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | ~ v7_waybel_1(sK1,sK0)
    | ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | v3_orders_2(k2_yellow_2(sK0,sK0,sK1))
    | v3_struct_0(sK0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel10)]) ).

cnf(g28,plain,
    ( ~ m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
    | m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1)]) ).

cnf(g29,plain,
    ( ~ v2_orders_2(k2_yellow_2(sK0,sK0,sK1))
    | ~ v2_orders_2(sK0)
    | ~ v3_orders_2(k2_yellow_2(sK0,sK0,sK1))
    | ~ v3_orders_2(sK0)
    | ~ v4_orders_2(k2_yellow_2(sK0,sK0,sK1))
    | ~ v4_orders_2(sK0)
    | ~ v1_lattice3(k2_yellow_2(sK0,sK0,sK1))
    | ~ v1_lattice3(sK0)
    | ~ v2_lattice3(k2_yellow_2(sK0,sK0,sK1))
    | ~ v2_lattice3(sK0)
    | ~ v3_lattice3(k2_yellow_2(sK0,sK0,sK1))
    | ~ v3_lattice3(sK0)
    | ~ l1_orders_2(k2_yellow_2(sK0,sK0,sK1))
    | ~ l1_orders_2(sK0)
    | ~ v1_funct_1(k3_waybel_1(sK0,sK0,sK1))
    | ~ v1_funct_2(k3_waybel_1(sK0,sK0,sK1),u1_struct_0(k2_yellow_2(sK0,sK0,sK1)),u1_struct_0(sK0))
    | ~ m2_relset_1(k3_waybel_1(sK0,sK0,sK1),u1_struct_0(k2_yellow_2(sK0,sK0,sK1)),u1_struct_0(sK0))
    | ~ v22_waybel_0(k3_waybel_1(sK0,sK0,sK1),k2_yellow_2(sK0,sK0,sK1),sK0)
    | ~ v17_waybel_0(k3_waybel_1(sK0,sK0,sK1),k2_yellow_2(sK0,sK0,sK1),sK0)
    | v1_waybel34(k1_waybel34(k2_yellow_2(sK0,sK0,sK1),sK0,k3_waybel_1(sK0,sK0,sK1)),sK0,k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_waybel34)]) ).

cnf(g30,plain,
    ( ~ l1_orders_2(sK0)
    | ~ m1_yellow_0(k2_yellow_2(sK0,sK0,sK1),sK0)
    | l1_orders_2(k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0)]) ).

cnf(g31,plain,
    sPE(sK0,sK0),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    ( ~ sPE(k1_waybel34(k2_yellow_2(sK0,sK0,sK1),sK0,k3_waybel_1(sK0,sK0,sK1)),k2_waybel_1(sK0,sK0,sK1))
    | ~ sPE(sK0,sK0)
    | ~ sPE(k2_yellow_2(sK0,sK0,sK1),k2_yellow_2(sK0,sK0,sK1))
    | ~ v1_waybel34(k1_waybel34(k2_yellow_2(sK0,sK0,sK1),sK0,k3_waybel_1(sK0,sK0,sK1)),sK0,k2_yellow_2(sK0,sK0,sK1))
    | v1_waybel34(k2_waybel_1(sK0,sK0,sK1),sK0,k2_yellow_2(sK0,sK0,sK1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    sPE(k2_yellow_2(sK0,sK0,sK1),k2_yellow_2(sK0,sK0,sK1)),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT369+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun 29 22:43:08 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 3.63/0.82  % symbols: 106
% 3.63/0.82  % clauses: 607
% 3.63/0.82  % start clauses: 13
% 3.63/0.82  % iterative deepening steps: 31
% 3.63/0.82  % maximum path limit: 2
% 3.63/0.82  % literal attempts: 949289
% 3.63/0.82  % depth failures: 903207
% 3.63/0.82  % regularity failures: 171
% 3.63/0.82  % tautology failures: 50
% 3.63/0.82  % reductions: 24099
% 3.63/0.82  % extensions: 924981
% 3.63/0.82  % SAT variables: 95945
% 3.63/0.82  % SAT clauses: 123097
% 3.63/0.82  % WalkSAT solutions: 123088
% 3.63/0.82  % CDCL solutions: 7
% 3.63/0.82  % SZS status Theorem for theBenchmark
% 3.63/0.82  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------