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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SEU347+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n019.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 : Tue Jul 19 14:14:04 EDT 2022

% Result   : Theorem 28.58s 4.03s
% Output   : Proof 28.58s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ empty_carrier(sK19),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3)]) ).

cnf(g1,plain,
    lattice(sK19),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3)]) ).

cnf(g2,plain,
    latt_str(sK19),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3)]) ).

cnf(g3,plain,
    element(sK20,the_carrier(sK19)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3)]) ).

cnf(g4,plain,
    ( latt_set_smaller(sK19,sK20,sK18)
    | relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3)]) ).

cnf(g5,plain,
    ( ~ latt_set_smaller(sK19,sK20,sK18)
    | ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3)]) ).

cnf(g6,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | empty_carrier(sK19)
    | meet_commutative(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices)]) ).

cnf(g7,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | empty_carrier(sK19)
    | join_absorbing(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices)]) ).

cnf(g8,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | empty_carrier(sK19)
    | reflexive_relstr(poset_of_lattice(sK19)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3)]) ).

cnf(g9,plain,
    ( ~ latt_str(sK19)
    | ~ empty_carrier(poset_of_lattice(sK19))
    | ~ lattice(sK19)
    | empty_carrier(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice3)]) ).

cnf(g10,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | rel_str(poset_of_lattice(sK19))
    | empty_carrier(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3)]) ).

cnf(g11,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | empty_carrier(sK19)
    | meet_absorbing(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices)]) ).

cnf(g12,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | empty_carrier(sK19)
    | element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3)]) ).

cnf(g13,plain,
    ( ~ latt_str(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | ~ below(sK19,sK20,sK0(sK19,sK20,sK18))
    | empty_carrier(sK19)
    | latt_set_smaller(sK19,sK20,sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3)]) ).

cnf(g14,plain,
    ( ~ latt_str(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | empty_carrier(sK19)
    | element(sK0(sK19,sK20,sK18),the_carrier(sK19))
    | latt_set_smaller(sK19,sK20,sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3)]) ).

cnf(g15,plain,
    ( ~ latt_str(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | in(sK0(sK19,sK20,sK18),sK18)
    | empty_carrier(sK19)
    | latt_set_smaller(sK19,sK20,sK18) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3)]) ).

cnf(g16,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
    | empty_carrier(sK19)
    | element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(poset_of_lattice(sK19))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3)]) ).

cnf(g17,plain,
    ( ~ rel_str(poset_of_lattice(sK19))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
    | ~ related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3)]) ).

cnf(g18,plain,
    ( ~ rel_str(poset_of_lattice(sK19))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
    | in(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK18)
    | relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3)]) ).

cnf(g19,plain,
    ( ~ rel_str(poset_of_lattice(sK19))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
    | element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
    | relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3)]) ).

cnf(g20,plain,
    sPE(sK18,sK18),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    sPE(poset_of_lattice(sK19),poset_of_lattice(sK19)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
    | empty_carrier(sK19)
    | element(cast_to_el_of_lattice(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),the_carrier(sK19)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3)]) ).

cnf(g23,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
    | sPE(cast_to_el_of_lattice(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | empty_carrier(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3)]) ).

cnf(g24,plain,
    sPE(the_carrier(sK19),the_carrier(sK19)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ latt_str(sK19)
    | ~ meet_commutative(sK19)
    | ~ meet_absorbing(sK19)
    | ~ join_absorbing(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
    | ~ below_refl(sK19,sK20,sK0(sK19,sK20,sK18))
    | empty_carrier(sK19)
    | below(sK19,sK20,sK0(sK19,sK20,sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices)]) ).

cnf(g26,plain,
    sPE(cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK20)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
    | sPE(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),sK0(sK19,sK20,sK18))
    | empty_carrier(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3)]) ).

cnf(g28,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
    | ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)))
    | empty_carrier(sK19)
    | below_refl(sK19,sK20,sK0(sK19,sK20,sK18)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3)]) ).

cnf(g29,plain,
    ( ~ in(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK18)
    | ~ latt_str(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
    | ~ latt_set_smaller(sK19,sK20,sK18)
    | empty_carrier(sK19)
    | below(sK19,sK20,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3)]) ).

cnf(g30,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
    | sPE(cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | empty_carrier(sK19) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3)]) ).

cnf(g31,plain,
    ( ~ sPE(poset_of_lattice(sK19),poset_of_lattice(sK19))
    | ~ sPE(cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK20))
    | ~ sPE(cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | ~ related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))))
    | related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    ( ~ sPE(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),sK0(sK19,sK20,sK18))
    | sPE(sK0(sK19,sK20,sK18),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ rel_str(poset_of_lattice(sK19))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(poset_of_lattice(sK19)))
    | ~ related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)))
    | ~ reflexive_relstr(poset_of_lattice(sK19))
    | empty_carrier(poset_of_lattice(sK19))
    | related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2)]) ).

cnf(g34,plain,
    ( ~ latt_str(sK19)
    | ~ meet_commutative(sK19)
    | ~ meet_absorbing(sK19)
    | ~ join_absorbing(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
    | ~ below(sK19,sK20,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | empty_carrier(sK19)
    | below_refl(sK19,sK20,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices)]) ).

cnf(g35,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK20,the_carrier(sK19))
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
    | ~ below_refl(sK19,sK20,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | empty_carrier(sK19)
    | related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3)]) ).

cnf(g36,plain,
    ( ~ latt_str(sK19)
    | ~ lattice(sK19)
    | ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
    | empty_carrier(sK19)
    | element(cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),the_carrier(poset_of_lattice(sK19))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3)]) ).

cnf(g37,plain,
    ( ~ sPE(cast_to_el_of_lattice(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
    | ~ sPE(the_carrier(sK19),the_carrier(sK19))
    | ~ element(cast_to_el_of_lattice(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),the_carrier(sK19))
    | element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    ( ~ rel_str(poset_of_lattice(sK19))
    | ~ in(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),sK18)
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(poset_of_lattice(sK19)))
    | ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
    | related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3)]) ).

cnf(g39,plain,
    ( ~ rel_str(poset_of_lattice(sK19))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
    | ~ element(cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),the_carrier(poset_of_lattice(sK19)))
    | ~ reflexive_relstr(poset_of_lattice(sK19))
    | ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))))
    | empty_carrier(poset_of_lattice(sK19))
    | related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2)]) ).

cnf(g40,plain,
    ( ~ sPE(sK0(sK19,sK20,sK18),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)))
    | ~ sPE(sK18,sK18)
    | ~ in(sK0(sK19,sK20,sK18),sK18)
    | in(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),sK18) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SEU347+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % Command  : satcop --statistics %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 20 05:24:39 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 28.58/4.02  % symbols: 68
% 28.58/4.02  % clauses: 173
% 28.58/4.02  % start clauses: 6
% 28.58/4.02  % iterative deepening steps: 1893
% 28.58/4.02  % maximum path limit: 4
% 28.58/4.02  % literal attempts: 11514075
% 28.58/4.02  % depth failures: 10047246
% 28.58/4.02  % regularity failures: 80245
% 28.58/4.02  % tautology failures: 61150
% 28.58/4.02  % reductions: 257571
% 28.58/4.02  % extensions: 11252426
% 28.58/4.02  % SAT variables: 567931
% 28.58/4.02  % SAT clauses: 554556
% 28.58/4.02  % WalkSAT solutions: 554547
% 28.58/4.02  % CDCL solutions: 7
% 28.58/4.03  % SZS status Theorem for theBenchmark
% 28.58/4.03  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------