TSTP Solution File: SWW276+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW276+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : 300s
% DateTime : Mon Jun 24 18:31:51 EDT 2024
% Result : Theorem 3.43s 0.96s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 100 ( 31 unt; 0 def)
% Number of atoms : 213 ( 78 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 195 ( 82 ~; 81 |; 6 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4829,plain,
$false,
inference(avatar_sat_refutation,[],[f3389,f3495,f3549,f4649,f4825]) ).
fof(f4825,plain,
~ spl9_22,
inference(avatar_contradiction_clause,[],[f4824]) ).
fof(f4824,plain,
( $false
| ~ spl9_22 ),
inference(subsumption_resolution,[],[f4823,f2213]) ).
fof(f2213,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4823,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)
| ~ spl9_22 ),
inference(forward_demodulation,[],[f4814,f2807]) ).
fof(f2807,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0),
inference(cnf_transformation,[],[f1637]) ).
fof(f1637,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0),
inference(rectify,[],[f530]) ).
fof(f530,axiom,
! [X11] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4814,plain,
( c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,v_na____)
| ~ spl9_22 ),
inference(superposition,[],[f2802,f4720]) ).
fof(f4720,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____)
| ~ spl9_22 ),
inference(subsumption_resolution,[],[f4694,f2201]) ).
fof(f2201,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1123]) ).
fof(f1123,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4694,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____)
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ spl9_22 ),
inference(superposition,[],[f3388,f2473]) ).
fof(f2473,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f1839]) ).
fof(f1839,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f1399]) ).
fof(f1399,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0 ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> c_Polynomial_Odegree(X6,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X6,X5,c_Polynomial_OpCons(X6,c_Groups_Oone__class_Oone(X6),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))))),X4)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3388,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_na____)
| ~ spl9_22 ),
inference(avatar_component_clause,[],[f3386]) ).
fof(f3386,plain,
( spl9_22
<=> v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_na____) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).
fof(f2802,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
inference(cnf_transformation,[],[f1632]) ).
fof(f1632,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
inference(rectify,[],[f751]) ).
fof(f751,axiom,
! [X4,X11] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X4),X4) = X11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4649,plain,
( spl9_6
| ~ spl9_28 ),
inference(avatar_contradiction_clause,[],[f4648]) ).
fof(f4648,plain,
( $false
| spl9_6
| ~ spl9_28 ),
inference(subsumption_resolution,[],[f4643,f4324]) ).
fof(f4324,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____)
| spl9_6 ),
inference(subsumption_resolution,[],[f4321,f3095]) ).
fof(f3095,plain,
( v_na____ != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)
| spl9_6 ),
inference(avatar_component_clause,[],[f3094]) ).
fof(f3094,plain,
( spl9_6
<=> v_na____ = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f4321,plain,
( v_na____ = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____) ),
inference(resolution,[],[f2498,f3086]) ).
fof(f3086,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____),
inference(backward_demodulation,[],[f2183,f2360]) ).
fof(f2360,plain,
v_na____ = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
v_na____ = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2183,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____)),
inference(cnf_transformation,[],[f1212]) ).
fof(f1212,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____)),
inference(flattening,[],[f1211]) ).
fof(f1211,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____)),
inference(negated_conjecture,[],[f1210]) ).
fof(f1210,conjecture,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2498,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f2094]) ).
fof(f2094,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ) ),
inference(flattening,[],[f2093]) ).
fof(f2093,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ) ),
inference(nnf_transformation,[],[f1414]) ).
fof(f1414,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
<=> ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(rectify,[],[f170]) ).
fof(f170,axiom,
! [X14,X16] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X16,X14)
<=> ( X14 != X16
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X16,X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4643,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),v_na____)
| ~ spl9_28 ),
inference(resolution,[],[f3139,f3948]) ).
fof(f3948,plain,
( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_s____,v_pa____)
| ~ spl9_28 ),
inference(subsumption_resolution,[],[f3937,f3454]) ).
fof(f3454,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl9_28 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3453,plain,
( spl9_28
<=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_28])]) ).
fof(f3937,plain,
( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_s____,v_pa____)
| ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[],[f2260,f2203]) ).
fof(f2203,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2260,plain,
! [X2,X0,X1] :
( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1))
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f1713,plain,
! [X0,X1,X2] :
( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1))
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f1270]) ).
fof(f1270,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1)) ),
inference(rectify,[],[f285]) ).
fof(f285,axiom,
! [X27,X5,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> c_Rings_Odvd__class_Odvd(X6,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X27),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3139,plain,
! [X0] :
( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,v_pa____)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0),v_na____) ),
inference(subsumption_resolution,[],[f3138,f2660]) ).
fof(f2660,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1144]) ).
fof(f1144,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3138,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0),v_na____)
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,v_pa____)
| ~ class_Rings_Oidom(tc_Complex_Ocomplex) ),
inference(subsumption_resolution,[],[f3132,f2208]) ).
fof(f2208,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3132,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0),v_na____)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_pa____
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,v_pa____)
| ~ class_Rings_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2656,f2360]) ).
fof(f2656,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X1,X0)
| ~ class_Rings_Oidom(X2) ),
inference(cnf_transformation,[],[f1916]) ).
fof(f1916,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X1,X0)
| ~ class_Rings_Oidom(X2) ),
inference(flattening,[],[f1915]) ).
fof(f1915,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X1,X0)
| ~ class_Rings_Oidom(X2) ),
inference(ennf_transformation,[],[f1518]) ).
fof(f1518,plain,
! [X0,X1,X2] :
( class_Rings_Oidom(X2)
=> ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X1,X0)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0)) ) ) ),
inference(rectify,[],[f258]) ).
fof(f258,axiom,
! [X29,X17,X6] :
( class_Rings_Oidom(X6)
=> ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X6),X17,X29)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) != X29
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X6,X17),c_Polynomial_Odegree(X6,X29)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3549,plain,
~ spl9_21,
inference(avatar_contradiction_clause,[],[f3548]) ).
fof(f3548,plain,
( $false
| ~ spl9_21 ),
inference(subsumption_resolution,[],[f3547,f2814]) ).
fof(f2814,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1142]) ).
fof(f1142,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3547,plain,
( ~ class_Groups_Ozero(tc_Complex_Ocomplex)
| ~ spl9_21 ),
inference(subsumption_resolution,[],[f3529,f2213]) ).
fof(f3529,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)
| ~ class_Groups_Ozero(tc_Complex_Ocomplex)
| ~ spl9_21 ),
inference(superposition,[],[f2810,f3503]) ).
fof(f3503,plain,
( c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) = c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ spl9_21 ),
inference(subsumption_resolution,[],[f3500,f2201]) ).
fof(f3500,plain,
( c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) = c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ spl9_21 ),
inference(superposition,[],[f2473,f3384]) ).
fof(f3384,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f3382]) ).
fof(f3382,plain,
( spl9_21
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).
fof(f2810,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
| ~ class_Groups_Ozero(X0) ),
inference(cnf_transformation,[],[f2008]) ).
fof(f2008,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
| ~ class_Groups_Ozero(X0) ),
inference(ennf_transformation,[],[f1639]) ).
fof(f1639,plain,
! [X0] :
( class_Groups_Ozero(X0)
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X6] :
( class_Groups_Ozero(X6)
=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3495,plain,
spl9_28,
inference(avatar_contradiction_clause,[],[f3494]) ).
fof(f3494,plain,
( $false
| spl9_28 ),
inference(subsumption_resolution,[],[f3493,f2201]) ).
fof(f3493,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| spl9_28 ),
inference(resolution,[],[f3455,f2275]) ).
fof(f2275,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f1729]) ).
fof(f1729,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f1285]) ).
fof(f1285,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
inference(rectify,[],[f1175]) ).
fof(f1175,axiom,
! [X90] :
( class_Rings_Ocomm__semiring__1(X90)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X90)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3455,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl9_28 ),
inference(avatar_component_clause,[],[f3453]) ).
fof(f3389,plain,
( spl9_21
| spl9_22
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f3380,f3094,f3386,f3382]) ).
fof(f3380,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_na____)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| ~ spl9_6 ),
inference(forward_demodulation,[],[f3379,f2360]) ).
fof(f3379,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_na____)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| ~ spl9_6 ),
inference(forward_demodulation,[],[f3378,f3096]) ).
fof(f3096,plain,
( v_na____ = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f3094]) ).
fof(f3378,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)) ),
inference(subsumption_resolution,[],[f3377,f2660]) ).
fof(f3377,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| ~ class_Rings_Oidom(tc_Complex_Ocomplex) ),
inference(subsumption_resolution,[],[f3329,f2205]) ).
fof(f2205,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3329,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| ~ class_Rings_Oidom(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2657,f2203]) ).
fof(f2657,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ),
inference(cnf_transformation,[],[f1918]) ).
fof(f1918,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ),
inference(flattening,[],[f1917]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ),
inference(ennf_transformation,[],[f1519]) ).
fof(f1519,plain,
! [X0,X1,X2] :
( class_Rings_Oidom(X2)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0
=> c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0)) ) ) ),
inference(rectify,[],[f852]) ).
fof(f852,axiom,
! [X29,X17,X6] :
( class_Rings_Oidom(X6)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) != X17
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) != X29
=> c_Polynomial_Odegree(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X6)),X17),X29)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X6,X17),c_Polynomial_Odegree(X6,X29)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW276+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:29:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2568)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2566)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2567)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2563)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2565)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2564)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.21/0.48 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (2569)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.21/0.48 % (2568)Refutation not found, incomplete strategy% (2568)------------------------------
% 0.21/0.48 % (2568)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (2568)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (2568)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48 % (2568)Memory used [KB]: 1961
% 0.21/0.48 % (2568)Time elapsed: 0.008 s
% 0.21/0.48 % (2568)Instructions burned: 8 (million)
% 0.21/0.48 % (2568)------------------------------
% 0.21/0.48 % (2568)------------------------------
% 0.21/0.48 % (2567)Refutation not found, incomplete strategy% (2567)------------------------------
% 0.21/0.48 % (2567)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (2567)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (2567)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48 % (2567)Memory used [KB]: 2016
% 0.21/0.48 % (2567)Time elapsed: 0.010 s
% 0.21/0.48 % (2567)Instructions burned: 11 (million)
% 0.21/0.49 % (2567)------------------------------
% 0.21/0.49 % (2567)------------------------------
% 0.21/0.54 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (2571)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2999ds/402Mi)
% 0.21/0.54 % (2562)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54 % (2570)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2999ds/125Mi)
% 0.21/0.57 % (2569)Instruction limit reached!
% 0.21/0.57 % (2569)------------------------------
% 0.21/0.57 % (2569)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.57 % (2569)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.57 % (2569)Termination reason: Time limit
% 0.21/0.57 % (2569)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (2569)Memory used [KB]: 4816
% 0.21/0.57 % (2569)Time elapsed: 0.094 s
% 0.21/0.57 % (2569)Instructions burned: 284 (million)
% 0.21/0.59 % (2570)Instruction limit reached!
% 0.21/0.59 % (2570)------------------------------
% 0.21/0.59 % (2570)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.59 % (2570)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.59 % (2570)Termination reason: Time limit
% 0.21/0.59 % (2570)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (2570)Memory used [KB]: 3643
% 0.21/0.59 % (2570)Time elapsed: 0.048 s
% 0.21/0.59 % (2570)Instructions burned: 125 (million)
% 1.43/0.61 % (2562)Running in auto input_syntax mode. Trying TPTP
% 1.43/0.61 % (2572)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2998ds/325Mi)
% 1.43/0.61 % (2572)Refutation not found, incomplete strategy% (2572)------------------------------
% 1.43/0.61 % (2572)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.43/0.61 % (2572)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.43/0.61 % (2572)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.61
% 1.43/0.61 % (2572)Memory used [KB]: 1954
% 1.43/0.61 % (2572)Time elapsed: 0.006 s
% 1.43/0.61 % (2572)Instructions burned: 9 (million)
% 1.43/0.61 % (2572)------------------------------
% 1.43/0.61 % (2572)------------------------------
% 1.58/0.63 % (2562)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.63 % (2573)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2998ds/267Mi)
% 1.58/0.63 % (2573)Refutation not found, incomplete strategy% (2573)------------------------------
% 1.58/0.63 % (2573)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/0.63 % (2573)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/0.63 % (2573)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.63
% 1.58/0.63 % (2573)Memory used [KB]: 1973
% 1.58/0.63 % (2573)Time elapsed: 0.006 s
% 1.58/0.63 % (2573)Instructions burned: 10 (million)
% 1.58/0.63 % (2573)------------------------------
% 1.58/0.63 % (2573)------------------------------
% 1.58/0.65 % (2562)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.65 % (2574)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2997ds/156Mi)
% 1.58/0.67 % (2571)Instruction limit reached!
% 1.58/0.67 % (2571)------------------------------
% 1.58/0.67 % (2571)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/0.67 % (2571)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/0.67 % (2571)Termination reason: Time limit
% 1.58/0.67 % (2571)Termination phase: Saturation
% 1.58/0.67
% 1.58/0.67 % (2571)Memory used [KB]: 6228
% 1.58/0.67 % (2571)Time elapsed: 0.129 s
% 1.58/0.67 % (2571)Instructions burned: 402 (million)
% 1.58/0.67 % (2562)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.67 % (2575)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2997ds/200Mi)
% 1.58/0.69 % (2574)Instruction limit reached!
% 1.58/0.69 % (2574)------------------------------
% 1.58/0.69 % (2574)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/0.69 % (2574)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/0.69 % (2574)Termination reason: Time limit
% 1.58/0.69 % (2574)Termination phase: Saturation
% 1.58/0.69
% 1.58/0.69 % (2574)Memory used [KB]: 3582
% 1.58/0.69 % (2574)Time elapsed: 0.044 s
% 1.58/0.69 % (2574)Instructions burned: 156 (million)
% 2.07/0.70 % (2562)Running in auto input_syntax mode. Trying TPTP
% 2.07/0.70 % (2576)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2997ds/203Mi)
% 2.07/0.73 % (2562)Running in auto input_syntax mode. Trying TPTP
% 2.07/0.73 % (2577)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2997ds/1027Mi)
% 2.07/0.73 % (2575)Instruction limit reached!
% 2.07/0.73 % (2575)------------------------------
% 2.07/0.73 % (2575)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.07/0.73 % (2575)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.07/0.73 % (2575)Termination reason: Time limit
% 2.07/0.73 % (2575)Termination phase: Saturation
% 2.07/0.73
% 2.07/0.73 % (2575)Memory used [KB]: 3603
% 2.07/0.73 % (2575)Time elapsed: 0.060 s
% 2.07/0.73 % (2575)Instructions burned: 200 (million)
% 2.07/0.76 % (2562)Running in auto input_syntax mode. Trying TPTP
% 2.07/0.76 % (2581)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2996ds/316Mi)
% 2.07/0.77 % (2576)Instruction limit reached!
% 2.07/0.77 % (2576)------------------------------
% 2.07/0.77 % (2576)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.07/0.77 % (2576)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.07/0.77 % (2576)Termination reason: Time limit
% 2.07/0.77 % (2576)Termination phase: Saturation
% 2.07/0.77
% 2.07/0.77 % (2576)Memory used [KB]: 3979
% 2.07/0.77 % (2576)Time elapsed: 0.070 s
% 2.07/0.77 % (2576)Instructions burned: 204 (million)
% 2.56/0.81 % (2562)Running in auto input_syntax mode. Trying TPTP
% 2.56/0.81 % (2585)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2996ds/426Mi)
% 2.92/0.87 % (2581)Instruction limit reached!
% 2.92/0.87 % (2581)------------------------------
% 2.92/0.87 % (2581)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.92/0.87 % (2581)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.92/0.87 % (2581)Termination reason: Time limit
% 2.92/0.87 % (2581)Termination phase: Saturation
% 2.92/0.87
% 2.92/0.87 % (2581)Memory used [KB]: 5017
% 2.92/0.87 % (2581)Time elapsed: 0.113 s
% 2.92/0.87 % (2581)Instructions burned: 317 (million)
% 3.15/0.91 % (2562)Running in auto input_syntax mode. Trying TPTP
% 3.15/0.91 % (2597)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/260Mi)
% 3.27/0.92 % (2585)Instruction limit reached!
% 3.27/0.92 % (2585)------------------------------
% 3.27/0.92 % (2585)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.27/0.92 % (2585)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.27/0.92 % (2585)Termination reason: Time limit
% 3.27/0.92 % (2585)Termination phase: Saturation
% 3.27/0.92
% 3.27/0.92 % (2585)Memory used [KB]: 8666
% 3.27/0.92 % (2585)Time elapsed: 0.114 s
% 3.27/0.92 % (2585)Instructions burned: 428 (million)
% 3.43/0.95 % (2562)Running in auto input_syntax mode. Trying TPTP
% 3.43/0.95 % (2606)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2994ds/160Mi)
% 3.43/0.96 % (2597)First to succeed.
% 3.43/0.96 % (2597)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2562"
% 3.43/0.96 % (2562)Running in auto input_syntax mode. Trying TPTP
% 3.43/0.96 % (2597)Refutation found. Thanks to Tanya!
% 3.43/0.96 % SZS status Theorem for theBenchmark
% 3.43/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/0.96 % (2597)------------------------------
% 3.43/0.96 % (2597)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.43/0.96 % (2597)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.43/0.96 % (2597)Termination reason: Refutation
% 3.43/0.96
% 3.43/0.96 % (2597)Memory used [KB]: 3233
% 3.43/0.96 % (2597)Time elapsed: 0.048 s
% 3.43/0.96 % (2597)Instructions burned: 143 (million)
% 3.43/0.96 % (2597)------------------------------
% 3.43/0.96 % (2597)------------------------------
% 3.43/0.96 % (2562)Success in time 0.546 s
%------------------------------------------------------------------------------