TSTP Solution File: NUN085+2 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : Mon Jul 18 16:38:05 EDT 2022
% Result : Theorem 42.27s 5.75s
% Output : Proof 42.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
r1(sK22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)]) ).
cnf(g1,plain,
r3(sK22,sK21,sK20),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)]) ).
cnf(g2,plain,
r1(sK23),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)]) ).
cnf(g3,plain,
r2(sK23,sK21),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)]) ).
cnf(g4,plain,
sPE(sK20,sK24),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)]) ).
cnf(g5,plain,
r1(sK24),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',zeroplusoneidzero)]) ).
cnf(g6,plain,
( ~ r1(sK22)
| sP0(sK22) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g7,plain,
( ~ r3(sK22,sK21,sK20)
| sP2(sK22,sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g8,plain,
( ~ r1(sK23)
| sP0(sK23) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g9,plain,
( ~ r2(sK23,sK21)
| sP1(sK23,sK21) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2)]) ).
cnf(g10,plain,
( ~ sPE(sK23,sK20)
| ~ sPE(sK20,sK24)
| sPE(sK23,sK24) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(sK20,sK24)
| sPE(sK1(sK20),sK1(sK24)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(sK20,sK24)
| ~ sPE(sK23,sK23)
| sPE(sK5(sK20,sK23),sK5(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ sPE(sK20,sK24)
| ~ sPE(sK23,sK23)
| sPE(sK7(sK20,sK23),sK7(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK20,sK24)
| sPE(sK6(sK23,sK20),sK6(sK23,sK24)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(sK20,sK24)
| sPE(sK13(sK20),sK13(sK24)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(sK20,sK24)
| sPE(sK24,sK20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ r1(sK24)
| sP0(sK24) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g18,plain,
( sPE(sK22,sK0)
| ~ sP0(sK22) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g19,plain,
sPE(sK21,sK21),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( sPE(sK23,sK0)
| ~ sP0(sK23) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g21,plain,
( sPE(sK23,sK2(sK23,sK23))
| ~ sP2(sK23,sK23,sK23) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g22,plain,
( ~ sPE(sK21,sK21)
| ~ r2(sK23,sK21)
| ~ r2(sK23,sK21)
| sPE(sK23,sK23) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3a)]) ).
cnf(g23,plain,
( sPE(sK21,sK1(sK23))
| ~ sP1(sK23,sK21) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2)]) ).
cnf(g24,plain,
( sPE(sK24,sK0)
| ~ sP0(sK24) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g25,plain,
( ~ sPE(sK20,sK0)
| ~ sPE(sK0,sK23)
| sPE(sK20,sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(sK13(sK20),sK13(sK24))
| sPE(sK13(sK24),sK13(sK20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
r3(sK20,sK23,sK7(sK20,sK23)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1a)]) ).
cnf(g28,plain,
( ~ sPE(sK24,sK20)
| ~ sP0(sK24)
| sP0(sK20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(sK24,sK20)
| ~ sPE(sK23,sK23)
| sPE(sK7(sK24,sK23),sK7(sK20,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(sK1(sK20),sK1(sK24))
| sP1(sK24,sK1(sK20)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2)]) ).
cnf(g31,plain,
( ~ sPE(sK20,sK23)
| sPE(sK23,sK20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(sK12(sK20),sK20)
| ~ sPE(sK20,sK24)
| sPE(sK12(sK20),sK24) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
sPE(sK12(sK20),sK20),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).
cnf(g34,plain,
( ~ sPE(sK12(sK20),sK24)
| ~ sPE(sK24,sK23)
| sPE(sK12(sK20),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
r2(sK7(sK23,sK23),sK4(sK23,sK23)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1a)]) ).
cnf(g36,plain,
( sPE(sK20,sK0)
| ~ sP0(sK20) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g37,plain,
r2(sK20,sK6(sK23,sK20)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1a)]) ).
cnf(g38,plain,
( ~ sPE(sK20,sK24)
| ~ sPE(sK6(sK23,sK20),sK6(sK23,sK23))
| ~ r2(sK20,sK6(sK23,sK20))
| r2(sK24,sK6(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
r3(sK20,sK6(sK20,sK23),sK5(sK20,sK23)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1a)]) ).
cnf(g40,plain,
( ~ sPE(sK20,sK23)
| ~ sPE(sK23,sK23)
| sPE(sK6(sK20,sK23),sK6(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
r3(sK20,sK13(sK20),sK12(sK20)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).
cnf(g42,plain,
( sPE(sK13(sK20),sK0)
| ~ sP0(sK13(sK20)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g43,plain,
( ~ sPE(sK22,sK0)
| ~ sPE(sK0,sK23)
| sPE(sK22,sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(sK23,sK0)
| sPE(sK0,sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(sK24,sK0)
| ~ sPE(sK0,sK23)
| sPE(sK24,sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ sPE(sK22,sK23)
| ~ sPE(sK21,sK1(sK23))
| ~ sPE(sK20,sK23)
| ~ sP2(sK22,sK21,sK20)
| sP2(sK23,sK1(sK23),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g47,plain,
( sPE(sK23,sK2(sK23,sK1(sK23)))
| ~ sP2(sK23,sK1(sK23),sK23) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g48,plain,
sPE(sK5(sK23,sK23),sK4(sK23,sK23)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1a)]) ).
cnf(g49,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK24,sK23)
| sPE(sK6(sK23,sK24),sK6(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
( ~ sPE(sK23,sK2(sK23,sK23))
| sPE(sK2(sK23,sK23),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g51,plain,
( ~ sPE(sK24,sK23)
| ~ sPE(sK1(sK20),sK1(sK24))
| ~ sP1(sK24,sK1(sK20))
| sP1(sK23,sK1(sK24)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
( sPE(sK1(sK24),sK1(sK23))
| ~ sP1(sK23,sK1(sK24)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2)]) ).
cnf(g53,plain,
( ~ sPE(sK1(sK20),sK1(sK24))
| ~ sPE(sK1(sK24),sK1(sK23))
| sPE(sK1(sK20),sK1(sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g54,plain,
( ~ sPE(sK1(sK20),sK1(sK23))
| sPE(sK1(sK23),sK1(sK20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ sPE(sK1(sK23),sK1(sK20))
| ~ sPE(sK1(sK20),sK1(sK24))
| sPE(sK1(sK23),sK1(sK24)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK1(sK23),sK1(sK24))
| sPE(sK2(sK23,sK1(sK23)),sK2(sK23,sK1(sK24))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g57,plain,
( ~ sPE(sK6(sK23,sK20),sK6(sK23,sK24))
| ~ sPE(sK6(sK23,sK24),sK6(sK23,sK23))
| sPE(sK6(sK23,sK20),sK6(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g58,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK13(sK20),sK23)
| ~ sPE(sK23,sK23)
| ~ sP2(sK23,sK13(sK20),sK23)
| sP2(sK23,sK23,sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g59,plain,
( ~ sPE(sK7(sK24,sK23),sK7(sK20,sK23))
| ~ sPE(sK7(sK20,sK23),sK23)
| sPE(sK7(sK24,sK23),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g60,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK13(sK24),sK13(sK20))
| ~ sPE(sK23,sK23)
| ~ sP2(sK23,sK13(sK24),sK23)
| sP2(sK23,sK13(sK20),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g61,plain,
( ~ sPE(sK20,sK23)
| ~ sPE(sK13(sK20),sK13(sK24))
| ~ sPE(sK12(sK20),sK23)
| ~ r3(sK20,sK13(sK20),sK12(sK20))
| r3(sK23,sK13(sK24),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g62,plain,
( ~ r3(sK23,sK13(sK24),sK23)
| sP2(sK23,sK13(sK24),sK23) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g63,plain,
( ~ r1(sK13(sK20))
| sP0(sK13(sK20)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).
cnf(g64,plain,
( ~ sPE(sK23,sK24)
| ~ sPE(sK23,sK23)
| sPE(sK7(sK23,sK23),sK7(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g65,plain,
( ~ sPE(sK23,sK24)
| ~ sPE(sK23,sK23)
| sPE(sK5(sK23,sK23),sK5(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g66,plain,
( ~ sPE(sK20,sK23)
| ~ sPE(sK23,sK23)
| ~ sPE(sK7(sK20,sK23),sK7(sK24,sK23))
| ~ r3(sK20,sK23,sK7(sK20,sK23))
| r3(sK23,sK23,sK7(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g67,plain,
( ~ r3(sK23,sK23,sK7(sK24,sK23))
| sP2(sK23,sK23,sK7(sK24,sK23)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g68,plain,
r1(sK13(sK20)),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).
cnf(g69,plain,
( ~ sPE(sK13(sK20),sK0)
| ~ sPE(sK0,sK23)
| sPE(sK13(sK20),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g70,plain,
( ~ sPE(sK7(sK23,sK23),sK7(sK24,sK23))
| ~ sPE(sK7(sK24,sK23),sK23)
| sPE(sK7(sK23,sK23),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g71,plain,
( sPE(sK7(sK24,sK23),sK2(sK23,sK23))
| ~ sP2(sK23,sK23,sK7(sK24,sK23)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g72,plain,
( ~ sPE(sK7(sK20,sK23),sK7(sK24,sK23))
| ~ sPE(sK7(sK24,sK23),sK2(sK23,sK23))
| sPE(sK7(sK20,sK23),sK2(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g73,plain,
( ~ sPE(sK7(sK20,sK23),sK2(sK23,sK23))
| ~ sPE(sK2(sK23,sK23),sK23)
| sPE(sK7(sK20,sK23),sK23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g74,plain,
( ~ r2(sK24,sK6(sK23,sK23))
| sP1(sK24,sK6(sK23,sK23)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2)]) ).
cnf(g75,plain,
( sPE(sK6(sK23,sK23),sK1(sK24))
| ~ sP1(sK24,sK6(sK23,sK23)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2)]) ).
cnf(g76,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK6(sK23,sK23),sK1(sK24))
| sPE(sK2(sK23,sK6(sK23,sK23)),sK2(sK23,sK1(sK24))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g77,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK5(sK23,sK23),sK5(sK24,sK23))
| ~ r2(sK23,sK5(sK23,sK23))
| r2(sK23,sK5(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g78,plain,
( ~ sPE(sK20,sK23)
| ~ sPE(sK6(sK20,sK23),sK6(sK23,sK23))
| ~ sPE(sK5(sK20,sK23),sK5(sK24,sK23))
| ~ r3(sK20,sK6(sK20,sK23),sK5(sK20,sK23))
| r3(sK23,sK6(sK23,sK23),sK5(sK24,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g79,plain,
( ~ r3(sK23,sK6(sK23,sK23),sK5(sK24,sK23))
| sP2(sK23,sK6(sK23,sK23),sK5(sK24,sK23)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g80,plain,
( ~ sPE(sK23,sK2(sK23,sK1(sK23)))
| ~ r1(sK23)
| r1(sK2(sK23,sK1(sK23))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g81,plain,
( ~ sPE(sK5(sK23,sK23),sK4(sK23,sK23))
| sPE(sK4(sK23,sK23),sK5(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g82,plain,
( ~ sPE(sK7(sK23,sK23),sK23)
| ~ sPE(sK4(sK23,sK23),sK5(sK23,sK23))
| ~ r2(sK7(sK23,sK23),sK4(sK23,sK23))
| r2(sK23,sK5(sK23,sK23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g83,plain,
( sPE(sK5(sK24,sK23),sK2(sK23,sK6(sK23,sK23)))
| ~ sP2(sK23,sK6(sK23,sK23),sK5(sK24,sK23)) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).
cnf(g84,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK5(sK24,sK23),sK2(sK23,sK6(sK23,sK23)))
| ~ r2(sK23,sK5(sK24,sK23))
| r2(sK23,sK2(sK23,sK6(sK23,sK23))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g85,plain,
( ~ sPE(sK23,sK23)
| ~ sPE(sK2(sK23,sK6(sK23,sK23)),sK2(sK23,sK1(sK24)))
| ~ r2(sK23,sK2(sK23,sK6(sK23,sK23)))
| r2(sK23,sK2(sK23,sK1(sK24))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g86,plain,
( ~ sPE(sK2(sK23,sK1(sK23)),sK2(sK23,sK1(sK24)))
| ~ r1(sK2(sK23,sK1(sK23)))
| ~ r2(sK23,sK2(sK23,sK1(sK24))) ),
inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_7a)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 06:42:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 42.27/5.75 % symbols: 36
% 42.27/5.75 % clauses: 76
% 42.27/5.75 % start clauses: 6
% 42.27/5.75 % iterative deepening steps: 3132
% 42.27/5.75 % maximum path limit: 4
% 42.27/5.75 % literal attempts: 19873787
% 42.27/5.75 % depth failures: 18705890
% 42.27/5.75 % regularity failures: 100154
% 42.27/5.75 % tautology failures: 51464
% 42.27/5.75 % reductions: 59077
% 42.27/5.75 % extensions: 19800928
% 42.27/5.75 % SAT variables: 1017013
% 42.27/5.75 % SAT clauses: 1045710
% 42.27/5.75 % WalkSAT solutions: 1045681
% 42.27/5.75 % CDCL solutions: 28
% 42.27/5.75 % SZS status Theorem for theBenchmark
% 42.27/5.75 % SZS output start ListOfCNF for theBenchmark
% See solution above
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