TSTP Solution File: LAT369+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LAT369+2 : 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 40.91s 5.87s
% Output   : Proof 41.48s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    v2_orders_2(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g1,plain,
    v3_orders_2(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g2,plain,
    v4_orders_2(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g3,plain,
    v1_lattice3(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g4,plain,
    v2_lattice3(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g5,plain,
    v3_lattice3(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g6,plain,
    l1_orders_2(sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g7,plain,
    v1_funct_1(sK4388),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g8,plain,
    v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g9,plain,
    v7_waybel_1(sK4388,sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g10,plain,
    m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g11,plain,
    v4_waybel_0(k2_yellow_2(sK4387,sK4387,sK4388),sK4387),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g12,plain,
    ~ v1_waybel34(k2_waybel_1(sK4387,sK4387,sK4388),sK4387,k2_yellow_2(sK4387,sK4387,sK4388)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_waybel34)]) ).

cnf(g13,plain,
    ( ~ v3_struct_0(sK4387)
    | ~ l1_orders_2(sK4387)
    | ~ v1_lattice3(sK4387) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+335.ax',cc1_lattice3)]) ).

cnf(g14,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v7_waybel_1(sK4388,sK4387)
    | v3_struct_0(sK4387)
    | v6_waybel_1(sK4388,sK4387) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+485.ax',d14_waybel_1)]) ).

cnf(g15,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m1_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ l1_orders_2(sK4387)
    | v1_funct_2(k3_waybel_1(sK4387,sK4387,sK4388),u1_struct_0(k2_yellow_2(sK4387,sK4387,sK4388)),u1_struct_0(sK4387))
    | v3_struct_0(sK4387)
    | v3_struct_0(sK4387) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+485.ax',fc7_waybel_1)]) ).

cnf(g16,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v11_quantal1(sK4388)
    | ~ v22_waybel_0(sK4388,sK4387,sK4387)
    | v3_orders_2(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+484.ax',t37_yellow_2)]) ).

cnf(g17,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v4_waybel_0(k2_yellow_2(sK4387,sK4387,sK4388),sK4387)
    | ~ v7_waybel_1(sK4388,sK4387)
    | v22_waybel_0(sK4388,sK4387,sK4387) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+503.ax',t26_waybel10)]) ).

cnf(g18,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v11_quantal1(sK4388)
    | ~ v22_waybel_0(sK4388,sK4387,sK4387)
    | v1_lattice3(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+484.ax',t37_yellow_2)]) ).

cnf(g19,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v6_waybel_1(sK4388,sK4387)
    | v3_struct_0(sK4387)
    | v11_quantal1(sK4388) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+485.ax',d13_waybel_1)]) ).

cnf(g20,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m1_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ l1_orders_2(sK4387)
    | v1_funct_1(k3_waybel_1(sK4387,sK4387,sK4388))
    | v3_struct_0(sK4387)
    | v3_struct_0(sK4387) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+485.ax',dt_k3_waybel_1)]) ).

cnf(g21,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m1_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ l1_orders_2(sK4387)
    | m2_relset_1(k3_waybel_1(sK4387,sK4387,sK4388),u1_struct_0(k2_yellow_2(sK4387,sK4387,sK4388)),u1_struct_0(sK4387))
    | v3_struct_0(sK4387)
    | v3_struct_0(sK4387) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+485.ax',dt_k3_waybel_1)]) ).

cnf(g22,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v4_waybel_0(k2_yellow_2(sK4387,sK4387,sK4388),sK4387)
    | ~ v7_waybel_1(sK4388,sK4387)
    | v22_waybel_0(k3_waybel_1(sK4387,sK4387,sK4388),k2_yellow_2(sK4387,sK4387,sK4388),sK4387) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel34)]) ).

cnf(g23,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v11_quantal1(sK4388)
    | ~ v22_waybel_0(sK4388,sK4387,sK4387)
    | v2_lattice3(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+484.ax',t37_yellow_2)]) ).

cnf(g24,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v7_waybel_1(sK4388,sK4387)
    | sPE(k1_waybel34(k2_yellow_2(sK4387,sK4387,sK4388),sK4387,k3_waybel_1(sK4387,sK4387,sK4388)),k2_waybel_1(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34)]) ).

cnf(g25,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v11_quantal1(sK4388)
    | ~ v22_waybel_0(sK4388,sK4387,sK4387)
    | l1_orders_2(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+484.ax',t37_yellow_2)]) ).

cnf(g26,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v6_waybel_1(sK4388,sK4387)
    | v3_struct_0(sK4387)
    | v3_lattice3(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+485.ax',t57_waybel_1)]) ).

cnf(g27,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v11_quantal1(sK4388)
    | ~ v22_waybel_0(sK4388,sK4387,sK4387)
    | v4_orders_2(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+484.ax',t37_yellow_2)]) ).

cnf(g28,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v11_quantal1(sK4388)
    | ~ v22_waybel_0(sK4388,sK4387,sK4387)
    | v2_orders_2(k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+484.ax',t37_yellow_2)]) ).

cnf(g29,plain,
    ( ~ v1_funct_1(sK4388)
    | ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ v1_funct_2(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(sK4387)
    | ~ v7_waybel_1(sK4388,sK4387)
    | v17_waybel_0(k3_waybel_1(sK4387,sK4387,sK4388),k2_yellow_2(sK4387,sK4387,sK4388),sK4387) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_waybel34)]) ).

cnf(g30,plain,
    ( ~ m2_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387))
    | m1_relset_1(sK4388,u1_struct_0(sK4387),u1_struct_0(sK4387)) ),
    inference(ground_cnf,[],[file('Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1)]) ).

cnf(g31,plain,
    ( ~ v1_funct_1(k3_waybel_1(sK4387,sK4387,sK4388))
    | ~ m2_relset_1(k3_waybel_1(sK4387,sK4387,sK4388),u1_struct_0(k2_yellow_2(sK4387,sK4387,sK4388)),u1_struct_0(sK4387))
    | ~ v1_funct_2(k3_waybel_1(sK4387,sK4387,sK4388),u1_struct_0(k2_yellow_2(sK4387,sK4387,sK4388)),u1_struct_0(sK4387))
    | ~ l1_orders_2(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ l1_orders_2(sK4387)
    | ~ v2_orders_2(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v2_orders_2(sK4387)
    | ~ v3_orders_2(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v3_orders_2(sK4387)
    | ~ v4_orders_2(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v4_orders_2(sK4387)
    | ~ v1_lattice3(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v1_lattice3(sK4387)
    | ~ v2_lattice3(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v2_lattice3(sK4387)
    | ~ v3_lattice3(k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v3_lattice3(sK4387)
    | ~ v17_waybel_0(k3_waybel_1(sK4387,sK4387,sK4388),k2_yellow_2(sK4387,sK4387,sK4388),sK4387)
    | ~ v22_waybel_0(k3_waybel_1(sK4387,sK4387,sK4388),k2_yellow_2(sK4387,sK4387,sK4388),sK4387)
    | v1_waybel34(k1_waybel34(k2_yellow_2(sK4387,sK4387,sK4388),sK4387,k3_waybel_1(sK4387,sK4387,sK4388)),sK4387,k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_waybel34)]) ).

cnf(g32,plain,
    ( ~ sPE(k1_waybel34(k2_yellow_2(sK4387,sK4387,sK4388),sK4387,k3_waybel_1(sK4387,sK4387,sK4388)),k2_waybel_1(sK4387,sK4387,sK4388))
    | ~ sPE(sK4387,sK4387)
    | ~ sPE(k2_yellow_2(sK4387,sK4387,sK4388),k2_yellow_2(sK4387,sK4387,sK4388))
    | ~ v1_waybel34(k1_waybel34(k2_yellow_2(sK4387,sK4387,sK4388),sK4387,k3_waybel_1(sK4387,sK4387,sK4388)),sK4387,k2_yellow_2(sK4387,sK4387,sK4388))
    | v1_waybel34(k2_waybel_1(sK4387,sK4387,sK4388),sK4387,k2_yellow_2(sK4387,sK4387,sK4388)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    sPE(sK4387,sK4387),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    sPE(k2_yellow_2(sK4387,sK4387,sK4388),k2_yellow_2(sK4387,sK4387,sK4388)),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT369+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 15:01:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 40.91/5.87  % symbols: 7662
% 40.91/5.87  % clauses: 32033
% 40.91/5.87  % start clauses: 13
% 40.91/5.87  % iterative deepening steps: 321
% 40.91/5.87  % maximum path limit: 1
% 40.91/5.87  % literal attempts: 11192721
% 40.91/5.87  % depth failures: 10354825
% 40.91/5.87  % regularity failures: 55
% 40.91/5.87  % tautology failures: 29575
% 40.91/5.87  % reductions: 831576
% 40.91/5.87  % extensions: 10357076
% 40.91/5.87  % SAT variables: 1429329
% 40.91/5.87  % SAT clauses: 1336378
% 40.91/5.87  % WalkSAT solutions: 1336368
% 40.91/5.87  % CDCL solutions: 4
% 40.91/5.87  % SZS status Theorem for theBenchmark
% 40.91/5.87  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------