TSTP Solution File: SEU349+1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n028.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 14:14:05 EDT 2022
% Result : Theorem 27.52s 3.80s
% Output : Proof 27.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ empty_carrier(sK19),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3)]) ).
cnf(g1,plain,
lattice(sK19),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3)]) ).
cnf(g2,plain,
latt_str(sK19),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3)]) ).
cnf(g3,plain,
element(sK20,the_carrier(sK19)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3)]) ).
cnf(g4,plain,
( latt_element_smaller(sK19,sK20,sK18)
| relstr_set_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3)]) ).
cnf(g5,plain,
( ~ latt_element_smaller(sK19,sK20,sK18)
| ~ relstr_set_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3)]) ).
cnf(g6,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| empty_carrier(sK19)
| join_absorbing(sK19) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices)]) ).
cnf(g7,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| empty_carrier(sK19)
| meet_absorbing(sK19) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices)]) ).
cnf(g8,plain,
( ~ latt_str(sK19)
| ~ empty_carrier(poset_of_lattice(sK19))
| ~ lattice(sK19)
| empty_carrier(sK19) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice3)]) ).
cnf(g9,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| empty_carrier(sK19)
| meet_commutative(sK19) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices)]) ).
cnf(g10,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| empty_carrier(sK19)
| reflexive_relstr(poset_of_lattice(sK19)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice3)]) ).
cnf(g11,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| rel_str(poset_of_lattice(sK19))
| empty_carrier(sK19) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_lattice3)]) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k4_lattice3)]) ).
cnf(g13,plain,
( ~ latt_str(sK19)
| ~ element(sK20,the_carrier(sK19))
| in(sK0(sK19,sK20,sK18),sK18)
| empty_carrier(sK19)
| latt_element_smaller(sK19,sK20,sK18) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_lattice3)]) ).
cnf(g14,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),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),cast_to_el_of_LattPOSet(sK19,sK20))
| relstr_set_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3)]) ).
cnf(g15,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_set_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3)]) ).
cnf(g16,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_set_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3)]) ).
cnf(g17,plain,
( ~ latt_str(sK19)
| ~ element(sK20,the_carrier(sK19))
| ~ below(sK19,sK0(sK19,sK20,sK18),sK20)
| empty_carrier(sK19)
| latt_element_smaller(sK19,sK20,sK18) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_lattice3)]) ).
cnf(g18,plain,
( ~ latt_str(sK19)
| ~ element(sK20,the_carrier(sK19))
| empty_carrier(sK19)
| element(sK0(sK19,sK20,sK18),the_carrier(sK19))
| latt_element_smaller(sK19,sK20,sK18) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_lattice3)]) ).
cnf(g19,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/sandbox2/benchmark/theBenchmark.p',dt_k5_lattice3)]) ).
cnf(g20,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/sandbox2/benchmark/theBenchmark.p',d4_lattice3)]) ).
cnf(g21,plain,
( ~ latt_str(sK19)
| ~ meet_commutative(sK19)
| ~ meet_absorbing(sK19)
| ~ join_absorbing(sK19)
| ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
| ~ element(sK20,the_carrier(sK19))
| ~ below_refl(sK19,sK0(sK19,sK20,sK18),sK20)
| empty_carrier(sK19)
| below(sK19,sK0(sK19,sK20,sK18),sK20) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices)]) ).
cnf(g22,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/sandbox2/benchmark/theBenchmark.p',d3_lattice3)]) ).
cnf(g23,plain,
sPE(sK18,sK18),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
sPE(poset_of_lattice(sK19),poset_of_lattice(sK19)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,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/sandbox2/benchmark/theBenchmark.p',dt_k4_lattice3)]) ).
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,
sPE(the_carrier(sK19),the_carrier(sK19)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,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_element_smaller(sK19,sK20,sK18)
| empty_carrier(sK19)
| below(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK20) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_lattice3)]) ).
cnf(g29,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
| ~ element(sK20,the_carrier(sK19))
| ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),cast_to_el_of_LattPOSet(sK19,sK20))
| empty_carrier(sK19)
| below_refl(sK19,sK0(sK19,sK20,sK18),sK20) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_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/sandbox2/benchmark/theBenchmark.p',d3_lattice3)]) ).
cnf(g31,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(g32,plain,
( ~ sPE(poset_of_lattice(sK19),poset_of_lattice(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)))
| ~ sPE(cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK20))
| ~ related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),cast_to_el_of_LattPOSet(sK19,sK20))
| related(poset_of_lattice(sK19),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ rel_str(poset_of_lattice(sK19))
| ~ element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(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,sK0(sK19,sK20,sK18)),cast_to_el_of_LattPOSet(sK19,sK20))
| ~ reflexive_relstr(poset_of_lattice(sK19))
| empty_carrier(poset_of_lattice(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2)]) ).
cnf(g34,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(g35,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/sandbox2/benchmark/theBenchmark.p',dt_k4_lattice3)]) ).
cnf(g36,plain,
( ~ latt_str(sK19)
| ~ meet_commutative(sK19)
| ~ meet_absorbing(sK19)
| ~ join_absorbing(sK19)
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
| ~ element(sK20,the_carrier(sK19))
| ~ below(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK20)
| empty_carrier(sK19)
| below_refl(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK20) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices)]) ).
cnf(g37,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_set_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3)]) ).
cnf(g38,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)]) ).
cnf(g39,plain,
( ~ latt_str(sK19)
| ~ lattice(sK19)
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
| ~ element(sK20,the_carrier(sK19))
| ~ below_refl(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK20)
| empty_carrier(sK19)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lattice3)]) ).
cnf(g40,plain,
( ~ rel_str(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)))
| ~ element(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,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),cast_to_el_of_LattPOSet(sK19,sK20))
| empty_carrier(poset_of_lattice(sK19))
| related(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))),cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n028.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 : Mon Jun 20 08:28:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.52/3.80 % symbols: 68
% 27.52/3.80 % clauses: 173
% 27.52/3.80 % start clauses: 6
% 27.52/3.80 % iterative deepening steps: 1816
% 27.52/3.80 % maximum path limit: 4
% 27.52/3.80 % literal attempts: 11234840
% 27.52/3.80 % depth failures: 9830148
% 27.52/3.80 % regularity failures: 75905
% 27.52/3.80 % tautology failures: 59097
% 27.52/3.80 % reductions: 246839
% 27.52/3.80 % extensions: 10983969
% 27.52/3.80 % SAT variables: 531663
% 27.52/3.80 % SAT clauses: 520679
% 27.52/3.80 % WalkSAT solutions: 520665
% 27.52/3.80 % CDCL solutions: 9
% 27.52/3.80 % SZS status Theorem for theBenchmark
% 27.52/3.80 % SZS output start ListOfCNF for theBenchmark
% See solution above
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