TSTP Solution File: SEU235+3 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n022.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 14:13:02 EDT 2022
% Result : Theorem 3.73s 0.89s
% Output : Proof 3.73s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
ordinal(sK16),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g1,plain,
subset(sK15,sK16),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g2,plain,
~ sPE(sK15,empty_set),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g3,plain,
( ~ subset(sK15,sK16)
| element(sK15,powerset(sK16)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).
cnf(g4,plain,
( ~ empty(sK15)
| sPE(sK15,empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole)]) ).
cnf(g5,plain,
( in(sK0(sK15),sK15)
| epsilon_transitive(sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).
cnf(g6,plain,
ordinal(empty_set),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_ordinal1)]) ).
cnf(g7,plain,
empty(empty_set),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_ordinal1)]) ).
cnf(g8,plain,
( ~ in(sK18(sK0(sK15),sK15),sK15)
| ~ ordinal(sK18(sK0(sK15),sK15))
| ~ ordinal_subset(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g9,plain,
( ~ in(sK0(sK15),sK15)
| in(sK18(sK0(sK15),sK15),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski)]) ).
cnf(g10,plain,
( ~ element(sK1(sK15),sK15)
| in(sK1(sK15),sK15)
| empty(sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset)]) ).
cnf(g11,plain,
element(sK1(sK15),sK15),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1)]) ).
cnf(g12,plain,
ordinal(sK7),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_ordinal1)]) ).
cnf(g13,plain,
( ~ in(sK18(sK0(sK15),sK15),sK15)
| ~ ordinal(sK18(sK0(sK15),sK15))
| in(sK17(sK18(sK0(sK15),sK15)),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g14,plain,
( ~ in(sK1(sK15),sK15)
| ~ ordinal(sK1(sK15))
| in(sK17(sK1(sK15)),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g15,plain,
( ~ in(sK7,sK15)
| ~ ordinal(sK7)
| ~ ordinal_subset(sK7,sK17(sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g16,plain,
( ~ ordinal(sK7)
| ~ ordinal(sK17(sK7))
| ~ subset(sK7,sK17(sK7))
| ordinal_subset(sK7,sK17(sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1)]) ).
cnf(g17,plain,
( ~ in(sK7,sK15)
| ~ ordinal(sK7)
| ordinal(sK17(sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g18,plain,
( ~ in(sK1(sK15),sK15)
| ~ ordinal(sK1(sK15))
| ordinal(sK17(sK1(sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g19,plain,
( ~ in(sK17(sK1(sK15)),sK15)
| ~ ordinal(sK17(sK1(sK15)))
| ordinal(sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g20,plain,
( ~ ordinal(empty_set)
| ~ ordinal(sK17(sK1(sK15)))
| sPE(empty_set,sK17(sK1(sK15)))
| in(empty_set,sK17(sK1(sK15)))
| in(sK17(sK1(sK15)),empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1)]) ).
cnf(g21,plain,
sPE(sK17(sK1(sK15)),sK17(sK1(sK15))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ element(sK7,sK15)
| in(sK7,sK15)
| empty(sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset)]) ).
cnf(g23,plain,
sPE(sK17(sK7),sK17(sK7)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ in(sK18(sK0(sK15),sK15),sK15)
| ~ ordinal(sK18(sK0(sK15),sK15))
| ordinal(sK17(sK18(sK0(sK15),sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g25,plain,
( ~ in(sK1(sK15),sK16)
| ~ ordinal(sK16)
| ordinal(sK1(sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1)]) ).
cnf(g26,plain,
( ~ element(sK1(sK15),sK16)
| in(sK1(sK15),sK16)
| empty(sK16) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset)]) ).
cnf(g27,plain,
( ~ ordinal(sK17(sK1(sK15)))
| ~ ordinal(sK17(sK1(sK15)))
| ordinal_subset(sK17(sK1(sK15)),sK17(sK1(sK15)))
| ordinal_subset(sK17(sK1(sK15)),sK17(sK1(sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1)]) ).
cnf(g28,plain,
subset(sK17(sK7),sK17(sK7)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).
cnf(g29,plain,
( ~ in(sK7,sK17(sK7))
| ~ epsilon_transitive(sK17(sK7))
| subset(sK7,sK17(sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).
cnf(g30,plain,
( ~ in(sK17(sK1(sK15)),sK15)
| ~ ordinal(sK17(sK1(sK15)))
| ~ ordinal_subset(sK17(sK1(sK15)),sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g31,plain,
( ~ in(sK17(sK1(sK15)),sK15)
| ~ epsilon_transitive(sK15)
| subset(sK17(sK1(sK15)),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).
cnf(g32,plain,
( ~ ordinal(sK17(sK1(sK15)))
| ~ ordinal(sK17(sK17(sK1(sK15))))
| ~ subset(sK17(sK1(sK15)),sK17(sK17(sK1(sK15))))
| ordinal_subset(sK17(sK1(sK15)),sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1)]) ).
cnf(g33,plain,
empty(sK7),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_ordinal1)]) ).
cnf(g34,plain,
( ~ empty(sK7)
| ~ empty(empty_set)
| sPE(sK7,empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole)]) ).
cnf(g35,plain,
( ~ in(sK1(sK15),sK15)
| ~ element(sK15,powerset(sK16))
| element(sK1(sK15),sK16) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset)]) ).
cnf(g36,plain,
( ~ in(sK17(sK1(sK15)),sK17(sK17(sK1(sK15))))
| ~ epsilon_transitive(sK17(sK17(sK1(sK15))))
| subset(sK17(sK1(sK15)),sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).
cnf(g37,plain,
( ~ ordinal(sK17(sK17(sK1(sK15))))
| epsilon_transitive(sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1)]) ).
cnf(g38,plain,
( ~ ordinal(sK17(sK17(sK1(sK15))))
| ~ ordinal(sK17(sK1(sK15)))
| sPE(sK17(sK17(sK1(sK15))),sK17(sK1(sK15)))
| in(sK17(sK17(sK1(sK15))),sK17(sK1(sK15)))
| in(sK17(sK1(sK15)),sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1)]) ).
cnf(g39,plain,
( ~ sPE(sK7,empty_set)
| sPE(empty_set,sK7) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ subset(sK17(sK1(sK15)),sK15)
| element(sK17(sK1(sK15)),powerset(sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).
cnf(g41,plain,
( ~ ordinal(sK17(sK7))
| epsilon_transitive(sK17(sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1)]) ).
cnf(g42,plain,
( ~ in(sK17(sK18(sK0(sK15),sK15)),sK15)
| ~ ordinal(sK17(sK18(sK0(sK15),sK15)))
| ordinal(sK17(sK17(sK18(sK0(sK15),sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g43,plain,
( ~ sPE(sK17(sK1(sK15)),sK17(sK1(sK15)))
| ~ sPE(sK17(sK1(sK15)),sK17(sK17(sK1(sK15))))
| ~ ordinal_subset(sK17(sK1(sK15)),sK17(sK1(sK15)))
| ordinal_subset(sK17(sK1(sK15)),sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(sK17(sK17(sK1(sK15))),sK17(sK1(sK15)))
| sPE(sK17(sK1(sK15)),sK17(sK17(sK1(sK15)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ ordinal(sK17(sK7))
| ~ ordinal(sK7)
| sPE(sK17(sK7),sK7)
| in(sK17(sK7),sK7)
| in(sK7,sK17(sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1)]) ).
cnf(g46,plain,
( ~ ordinal(sK17(sK18(sK0(sK15),sK15)))
| epsilon_transitive(sK17(sK18(sK0(sK15),sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1)]) ).
cnf(g47,plain,
( ~ in(sK18(sK0(sK15),sK15),sK16)
| ~ ordinal(sK16)
| ordinal(sK18(sK0(sK15),sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1)]) ).
cnf(g48,plain,
( ~ element(sK18(sK0(sK15),sK15),sK16)
| in(sK18(sK0(sK15),sK15),sK16)
| empty(sK16) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset)]) ).
cnf(g49,plain,
( ~ ordinal(sK18(sK0(sK15),sK15))
| ~ ordinal(sK17(sK18(sK0(sK15),sK15)))
| ~ subset(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15)))
| ordinal_subset(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1)]) ).
cnf(g50,plain,
( ~ in(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15)))
| ~ epsilon_transitive(sK17(sK18(sK0(sK15),sK15)))
| subset(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1)]) ).
cnf(g51,plain,
( ~ ordinal(sK18(sK0(sK15),sK15))
| ~ ordinal(sK17(sK18(sK0(sK15),sK15)))
| sPE(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15)))
| in(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15)))
| in(sK17(sK18(sK0(sK15),sK15)),sK18(sK0(sK15),sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1)]) ).
cnf(g52,plain,
( ~ in(sK17(sK18(sK0(sK15),sK15)),sK15)
| ~ ordinal(sK17(sK18(sK0(sK15),sK15)))
| in(sK17(sK17(sK18(sK0(sK15),sK15))),sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g53,plain,
( ~ in(sK1(sK15),sK15)
| ~ empty(sK16)
| ~ element(sK15,powerset(sK16)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset)]) ).
cnf(g54,plain,
( ~ in(sK17(sK17(sK1(sK15))),sK17(sK1(sK15)))
| ~ empty(sK17(sK1(sK15))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole)]) ).
cnf(g55,plain,
( ~ in(sK7,sK17(sK1(sK15)))
| ~ element(sK17(sK1(sK15)),powerset(sK15))
| element(sK7,sK15) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset)]) ).
cnf(g56,plain,
( ~ in(sK17(sK1(sK15)),empty_set)
| ~ empty(empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole)]) ).
cnf(g57,plain,
( ~ sPE(empty_set,sK7)
| ~ sPE(sK17(sK1(sK15)),sK17(sK1(sK15)))
| ~ in(empty_set,sK17(sK1(sK15)))
| in(sK7,sK17(sK1(sK15))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g58,plain,
( ~ sPE(empty_set,sK17(sK1(sK15)))
| ~ empty(empty_set)
| empty(sK17(sK1(sK15))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g59,plain,
( ~ in(sK18(sK0(sK15),sK15),sK15)
| ~ element(sK15,powerset(sK16))
| element(sK18(sK0(sK15),sK15),sK16) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset)]) ).
cnf(g60,plain,
( ~ in(sK17(sK7),sK7)
| ~ empty(sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole)]) ).
cnf(g61,plain,
( ~ sPE(sK17(sK7),sK7)
| ~ sPE(sK17(sK7),sK17(sK7))
| ~ subset(sK17(sK7),sK17(sK7))
| subset(sK7,sK17(sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g62,plain,
sPE(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK18(sK0(sK15),sK15)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g63,plain,
( ~ in(sK17(sK17(sK18(sK0(sK15),sK15))),sK15)
| ~ ordinal(sK17(sK17(sK18(sK0(sK15),sK15))))
| ~ ordinal_subset(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK17(sK18(sK0(sK15),sK15))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1)]) ).
cnf(g64,plain,
( ~ ordinal(sK17(sK17(sK18(sK0(sK15),sK15))))
| ~ ordinal(sK17(sK18(sK0(sK15),sK15)))
| ordinal_subset(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK18(sK0(sK15),sK15)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_ordinal1)]) ).
cnf(g65,plain,
( ~ sPE(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK18(sK0(sK15),sK15))))
| ~ sPE(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK17(sK18(sK0(sK15),sK15)))))
| ~ ordinal_subset(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK18(sK0(sK15),sK15))))
| ordinal_subset(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK17(sK18(sK0(sK15),sK15))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g66,plain,
( ~ sPE(sK17(sK18(sK0(sK15),sK15)),sK17(sK17(sK18(sK0(sK15),sK15))))
| sPE(sK17(sK17(sK18(sK0(sK15),sK15))),sK17(sK17(sK17(sK18(sK0(sK15),sK15))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g67,plain,
( ~ sPE(sK18(sK0(sK15),sK15),sK17(sK18(sK0(sK15),sK15)))
| sPE(sK17(sK18(sK0(sK15),sK15)),sK17(sK17(sK18(sK0(sK15),sK15)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g68,plain,
( ~ in(sK0(sK15),sK15)
| ~ in(sK17(sK18(sK0(sK15),sK15)),sK15)
| ~ in(sK17(sK18(sK0(sK15),sK15)),sK18(sK0(sK15),sK15)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n022.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 : Sat Jun 18 23:50:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.73/0.89 % symbols: 36
% 3.73/0.89 % clauses: 109
% 3.73/0.89 % start clauses: 6
% 3.73/0.89 % iterative deepening steps: 1209
% 3.73/0.89 % maximum path limit: 4
% 3.73/0.89 % literal attempts: 1526929
% 3.73/0.89 % depth failures: 1042666
% 3.73/0.89 % regularity failures: 94986
% 3.73/0.89 % tautology failures: 59793
% 3.73/0.89 % reductions: 71031
% 3.73/0.89 % extensions: 1449157
% 3.73/0.89 % SAT variables: 49528
% 3.73/0.89 % SAT clauses: 95494
% 3.73/0.89 % WalkSAT solutions: 95444
% 3.73/0.89 % CDCL solutions: 48
% 3.73/0.89 % SZS status Theorem for theBenchmark
% 3.73/0.89 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------