TSTP Solution File: SWW186+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW186+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 18:47:57 EDT 2024
% Result : Theorem 29.60s 4.70s
% Output : Refutation 29.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 10 unt; 0 def)
% Number of atoms : 149 ( 73 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 133 ( 54 ~; 52 |; 5 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41570,plain,
$false,
inference(avatar_sat_refutation,[],[f5167,f29389,f41569]) ).
fof(f41569,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_contradiction_clause,[],[f41568]) ).
fof(f41568,plain,
( $false
| ~ spl16_1
| spl16_2 ),
inference(subsumption_resolution,[],[f41567,f3444]) ).
fof(f3444,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1183]) ).
fof(f1183,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f41567,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl16_1
| spl16_2 ),
inference(resolution,[],[f41562,f3680]) ).
fof(f3680,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2439]) ).
fof(f2439,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f1315]) ).
fof(f1315,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ozero(X0) ),
inference(rectify,[],[f1003]) ).
fof(f1003,axiom,
! [X86] :
( class_Rings_Ocomm__semiring__0(X86)
=> class_Groups_Ozero(X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f41562,plain,
( ~ class_Groups_Ozero(t_a)
| ~ spl16_1
| spl16_2 ),
inference(subsumption_resolution,[],[f41561,f5166]) ).
fof(f5166,plain,
( v_a != c_Groups_Ozero__class_Ozero(t_a)
| spl16_2 ),
inference(avatar_component_clause,[],[f5164]) ).
fof(f5164,plain,
( spl16_2
<=> v_a = c_Groups_Ozero__class_Ozero(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f41561,plain,
( v_a = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Groups_Ozero(t_a)
| ~ spl16_1 ),
inference(subsumption_resolution,[],[f41553,f5161]) ).
fof(f5161,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f5160]) ).
fof(f5160,plain,
( spl16_1
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f41553,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_a = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Groups_Ozero(t_a)
| ~ spl16_1 ),
inference(superposition,[],[f4344,f41452]) ).
fof(f41452,plain,
( v_p = c_Polynomial_OpCons(t_a,v_a,v_p)
| ~ spl16_1 ),
inference(superposition,[],[f41446,f29706]) ).
fof(f29706,plain,
( v_p = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,c_Polynomial_OpCons(t_a,v_a,v_p))
| ~ spl16_1 ),
inference(backward_demodulation,[],[f29630,f29397]) ).
fof(f29397,plain,
( ! [X0] : v_p = c_Polynomial_Osmult(t_a,X0,v_p)
| ~ spl16_1 ),
inference(backward_demodulation,[],[f6690,f5161]) ).
fof(f6690,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(resolution,[],[f3852,f3444]) ).
fof(f3852,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
inference(cnf_transformation,[],[f2541]) ).
fof(f2541,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f1491]) ).
fof(f1491,plain,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = c_Polynomial_Osmult(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29630,plain,
( v_p = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,v_p),c_Polynomial_OpCons(t_a,v_a,v_p))
| ~ spl16_1 ),
inference(backward_demodulation,[],[f29390,f29396]) ).
fof(f29396,plain,
( ! [X0] : v_p = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,X0)
| ~ spl16_1 ),
inference(backward_demodulation,[],[f6686,f5161]) ).
fof(f6686,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0),
inference(resolution,[],[f3851,f3444]) ).
fof(f3851,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) ),
inference(cnf_transformation,[],[f2540]) ).
fof(f2540,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f1490]) ).
fof(f1490,plain,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29390,plain,
( v_p = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))
| ~ spl16_1 ),
inference(backward_demodulation,[],[f3445,f5161]) ).
fof(f3445,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),
inference(cnf_transformation,[],[f1180]) ).
fof(f1180,axiom,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f41446,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X0) = X0
| ~ spl16_1 ),
inference(forward_demodulation,[],[f41445,f5161]) ).
fof(f41445,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0) = X0,
inference(resolution,[],[f5750,f3444]) ).
fof(f5750,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1 ),
inference(resolution,[],[f3839,f3679]) ).
fof(f3679,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2438]) ).
fof(f2438,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f1314]) ).
fof(f1314,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ocomm__monoid__add(X0) ),
inference(rectify,[],[f997]) ).
fof(f997,axiom,
! [X86] :
( class_Rings_Ocomm__semiring__0(X86)
=> class_Groups_Ocomm__monoid__add(X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3839,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X1)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = X0 ),
inference(cnf_transformation,[],[f2527]) ).
fof(f2527,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = X0
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(ennf_transformation,[],[f1478]) ).
fof(f1478,plain,
! [X0,X1] :
( class_Groups_Ocomm__monoid__add(X1)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = X0 ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X9,X4] :
( class_Groups_Ocomm__monoid__add(X4)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)),X9) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4344,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_OpCons(X2,X1,X0)
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Groups_Ozero(X2) ),
inference(cnf_transformation,[],[f2924]) ).
fof(f2924,plain,
! [X0,X1,X2] :
( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
<=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
& c_Groups_Ozero__class_Ozero(X2) = X1 ) )
| ~ class_Groups_Ozero(X2) ),
inference(ennf_transformation,[],[f1865]) ).
fof(f1865,plain,
! [X0,X1,X2] :
( class_Groups_Ozero(X2)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_OpCons(X2,X1,X0)
<=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
& c_Groups_Ozero__class_Ozero(X2) = X1 ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X10,X11,X12] :
( class_Groups_Ozero(X12)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)) = c_Polynomial_OpCons(X12,X11,X10)
<=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)) = X10
& c_Groups_Ozero__class_Ozero(X12) = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29389,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f29388]) ).
fof(f29388,plain,
( $false
| spl16_1 ),
inference(subsumption_resolution,[],[f29387,f7676]) ).
fof(f7676,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl16_1 ),
inference(subsumption_resolution,[],[f3446,f5162]) ).
fof(f5162,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl16_1 ),
inference(avatar_component_clause,[],[f5160]) ).
fof(f3446,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(cnf_transformation,[],[f2364]) ).
fof(f2364,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f1179,axiom,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f29387,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(subsumption_resolution,[],[f29381,f3444]) ).
fof(f29381,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(trivial_inequality_removal,[],[f29380]) ).
fof(f29380,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(superposition,[],[f4712,f3445]) ).
fof(f4712,plain,
! [X2,X3,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1 ),
inference(cnf_transformation,[],[f3313]) ).
fof(f3313,plain,
! [X0,X1,X2,X3] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(flattening,[],[f3312]) ).
fof(f3312,plain,
! [X0,X1,X2,X3] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f2162]) ).
fof(f2162,plain,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X6,X7,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X7,X6),c_Polynomial_OpCons(X4,X5,X6))
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5167,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f3443,f5164,f5160]) ).
fof(f3443,plain,
( v_a != c_Groups_Ozero__class_Ozero(t_a)
| v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(cnf_transformation,[],[f2363]) ).
fof(f2363,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_a != c_Groups_Ozero__class_Ozero(t_a) ),
inference(ennf_transformation,[],[f1182]) ).
fof(f1182,negated_conjecture,
~ ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
& v_a = c_Groups_Ozero__class_Ozero(t_a) ),
inference(negated_conjecture,[],[f1181]) ).
fof(f1181,conjecture,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
& v_a = c_Groups_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW186+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : run_vampire %s %d SAT
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 07:44:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.34 Running first-order model finding
% 0.11/0.34 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2695)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2696)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2699)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2698)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2694)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2693)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.19/0.46 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.46 % (2697)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.19/0.50 % (2699)Instruction limit reached!
% 0.19/0.50 % (2699)------------------------------
% 0.19/0.50 % (2699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.50 % (2699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.50 % (2699)Termination reason: Time limit
% 0.19/0.50 % (2699)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (2699)Memory used [KB]: 3815
% 0.19/0.50 % (2699)Time elapsed: 0.043 s
% 0.19/0.50 % (2699)Instructions burned: 116 (million)
% 0.19/0.51 % (2697)Instruction limit reached!
% 0.19/0.51 % (2697)------------------------------
% 0.19/0.51 % (2697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.51 % (2697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.51 % (2697)Termination reason: Time limit
% 0.19/0.51 % (2697)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (2697)Memory used [KB]: 3720
% 0.19/0.51 % (2697)Time elapsed: 0.057 s
% 0.19/0.51 % (2697)Instructions burned: 104 (million)
% 0.19/0.53 % (2698)Instruction limit reached!
% 0.19/0.53 % (2698)------------------------------
% 0.19/0.53 % (2698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.53 % (2698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.53 % (2698)Termination reason: Time limit
% 0.19/0.53 % (2698)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (2698)Memory used [KB]: 3905
% 0.19/0.53 % (2698)Time elapsed: 0.077 s
% 0.19/0.53 % (2698)Instructions burned: 146 (million)
% 0.19/0.53 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.53 % (2700)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.19/0.56 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.56 % (2701)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.19/0.57 % (2692)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.57 % (2702)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.50/0.61 % (2701)Instruction limit reached!
% 1.50/0.61 % (2701)------------------------------
% 1.50/0.61 % (2701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.61 % (2701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.61 % (2701)Termination reason: Time limit
% 1.50/0.61 % (2701)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (2701)Memory used [KB]: 4390
% 1.50/0.61 % (2701)Time elapsed: 0.077 s
% 1.50/0.61 % (2701)Instructions burned: 176 (million)
% 1.70/0.64 TRYING [1]
% 1.70/0.64 Cannot represent all propositional literals internally
% 1.70/0.64 % (2696)Refutation not found, incomplete strategy% (2696)------------------------------
% 1.70/0.64 % (2696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.64 % (2696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.64 % (2696)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.64
% 1.70/0.64 % (2696)Memory used [KB]: 11187
% 1.70/0.64 % (2696)Time elapsed: 0.181 s
% 1.70/0.64 % (2696)Instructions burned: 506 (million)
% 1.70/0.64 % (2696)------------------------------
% 1.70/0.64 % (2696)------------------------------
% 1.70/0.65 % (2692)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.65 % (2703)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.70/0.66 TRYING [2]
% 1.70/0.67 % (2702)Instruction limit reached!
% 1.70/0.67 % (2702)------------------------------
% 1.70/0.67 % (2702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.67 % (2702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.67 % (2702)Termination reason: Time limit
% 1.70/0.67 % (2702)Termination phase: Saturation
% 1.70/0.67
% 1.70/0.67 % (2702)Memory used [KB]: 5913
% 1.70/0.67 % (2702)Time elapsed: 0.119 s
% 1.70/0.67 % (2702)Instructions burned: 271 (million)
% 1.70/0.68 % (2692)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.68 % (2704)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.70/0.68 % (2700)Instruction limit reached!
% 1.70/0.68 % (2700)------------------------------
% 1.70/0.68 % (2700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.68 % (2700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.68 % (2700)Termination reason: Time limit
% 1.70/0.68 % (2700)Termination phase: Saturation
% 1.70/0.68
% 1.70/0.68 % (2700)Memory used [KB]: 5564
% 1.70/0.68 % (2700)Time elapsed: 0.167 s
% 1.70/0.68 % (2700)Instructions burned: 406 (million)
% 1.70/0.70 % (2692)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.70 % (2705)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.09/0.72 % (2692)Running in auto input_syntax mode. Trying TPTP
% 2.09/0.72 % (2706)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2997ds/1187Mi)
% 2.31/0.81 TRYING [1]
% 2.31/0.83 TRYING [2]
% 2.75/0.98 % (2703)Instruction limit reached!
% 2.75/0.98 % (2703)------------------------------
% 2.75/0.98 % (2703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.98 % (2703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.98 % (2703)Termination reason: Time limit
% 2.75/0.98 % (2703)Termination phase: Saturation
% 2.75/0.98
% 2.75/0.98 % (2703)Memory used [KB]: 9130
% 2.75/0.98 % (2703)Time elapsed: 0.359 s
% 2.75/0.98 % (2703)Instructions burned: 900 (million)
% 3.37/1.02 % (2692)Running in auto input_syntax mode. Trying TPTP
% 3.37/1.02 % (2707)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2994ds/23580Mi)
% 3.58/1.09 TRYING [3]
% 3.58/1.13 TRYING [3]
% 3.58/1.13 % (2706)Instruction limit reached!
% 3.58/1.13 % (2706)------------------------------
% 3.58/1.13 % (2706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.58/1.13 % (2706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.58/1.13 % (2706)Termination reason: Time limit
% 3.58/1.13 % (2706)Termination phase: Saturation
% 3.58/1.13
% 3.58/1.13 % (2706)Memory used [KB]: 7383
% 3.58/1.13 % (2706)Time elapsed: 0.416 s
% 3.58/1.13 % (2706)Instructions burned: 1187 (million)
% 3.58/1.15 TRYING [1]
% 3.58/1.16 % (2692)Running in auto input_syntax mode. Trying TPTP
% 3.58/1.16 % (2708)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2992ds/2892Mi)
% 3.58/1.17 TRYING [2]
% 7.61/1.48 % (2705)Instruction limit reached!
% 7.61/1.48 % (2705)------------------------------
% 7.61/1.48 % (2705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.61/1.48 % (2705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.61/1.48 % (2705)Termination reason: Time limit
% 7.61/1.48 % (2705)Termination phase: Saturation
% 7.61/1.48
% 7.61/1.48 % (2705)Memory used [KB]: 16422
% 7.61/1.48 % (2705)Time elapsed: 0.780 s
% 7.61/1.48 % (2705)Instructions burned: 2147 (million)
% 7.80/1.52 % (2692)Running in auto input_syntax mode. Trying TPTP
% 7.80/1.52 % (2709)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2989ds/1693Mi)
% 7.98/1.59 TRYING [3]
% 8.97/1.75 % (2708)Instruction limit reached!
% 8.97/1.75 % (2708)------------------------------
% 8.97/1.75 % (2708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.97/1.75 % (2708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.97/1.75 % (2708)Termination reason: Time limit
% 8.97/1.75 % (2708)Termination phase: Finite model building constraint generation
% 8.97/1.75
% 8.97/1.75 % (2708)Memory used [KB]: 11504
% 8.97/1.75 % (2708)Time elapsed: 0.591 s
% 8.97/1.75 % (2708)Instructions burned: 2898 (million)
% 9.78/1.81 % (2692)Running in auto input_syntax mode. Trying TPTP
% 9.78/1.81 % (2710)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2986ds/1735Mi)
% 10.97/2.06 % (2709)Instruction limit reached!
% 10.97/2.06 % (2709)------------------------------
% 10.97/2.06 % (2709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.97/2.06 % (2709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.97/2.06 % (2709)Termination reason: Time limit
% 10.97/2.06 % (2709)Termination phase: Saturation
% 10.97/2.06
% 10.97/2.06 % (2709)Memory used [KB]: 9306
% 10.97/2.06 % (2709)Time elapsed: 0.540 s
% 10.97/2.06 % (2709)Instructions burned: 1696 (million)
% 11.58/2.09 % (2692)Running in auto input_syntax mode. Trying TPTP
% 11.58/2.09 % (2711)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2983ds/131798Mi)
% 13.32/2.34 TRYING [4,4,4]
% 14.21/2.47 % (2710)Instruction limit reached!
% 14.21/2.47 % (2710)------------------------------
% 14.21/2.47 % (2710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.21/2.47 % (2710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.21/2.47 % (2710)Termination reason: Time limit
% 14.21/2.47 % (2710)Termination phase: Saturation
% 14.21/2.47
% 14.21/2.47 % (2710)Memory used [KB]: 21101
% 14.21/2.47 % (2710)Time elapsed: 0.660 s
% 14.21/2.47 % (2710)Instructions burned: 1735 (million)
% 14.77/2.51 % (2692)Running in auto input_syntax mode. Trying TPTP
% 14.77/2.51 % (2712)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2979ds/3451Mi)
% 15.96/2.70 % (2704)Instruction limit reached!
% 15.96/2.70 % (2704)------------------------------
% 15.96/2.70 % (2704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.96/2.70 % (2704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.96/2.70 % (2704)Termination reason: Time limit
% 15.96/2.70 % (2704)Termination phase: Finite model building constraint generation
% 15.96/2.70
% 15.96/2.70 % (2704)Memory used [KB]: 50173
% 15.96/2.70 % (2704)Time elapsed: 2.006 s
% 15.96/2.70 % (2704)Instructions burned: 7865 (million)
% 16.06/2.74 % (2692)Running in auto input_syntax mode. Trying TPTP
% 16.06/2.74 % (2713)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2976ds/3978Mi)
% 16.06/2.79 TRYING [4]
% 18.96/3.15 TRYING [4]
% 19.58/3.20 % (2712)Instruction limit reached!
% 19.58/3.20 % (2712)------------------------------
% 19.58/3.20 % (2712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.58/3.20 % (2712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.58/3.20 % (2712)Termination reason: Time limit
% 19.58/3.20 % (2712)Termination phase: Finite model building constraint generation
% 19.58/3.20
% 19.58/3.20 % (2712)Memory used [KB]: 11488
% 19.58/3.20 % (2712)Time elapsed: 0.688 s
% 19.58/3.20 % (2712)Instructions burned: 3455 (million)
% 19.58/3.25 % (2692)Running in auto input_syntax mode. Trying TPTP
% 19.58/3.25 % (2714)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2971ds/33091Mi)
% 24.48/3.96 % (2713)Instruction limit reached!
% 24.48/3.96 % (2713)------------------------------
% 24.48/3.96 % (2713)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.48/3.96 % (2713)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.48/3.96 % (2713)Termination reason: Time limit
% 24.48/3.96 % (2713)Termination phase: Saturation
% 24.48/3.96
% 24.48/3.96 % (2713)Memory used [KB]: 16159
% 24.48/3.96 % (2713)Time elapsed: 1.218 s
% 24.48/3.96 % (2713)Instructions burned: 3978 (million)
% 25.13/3.99 % (2692)Running in auto input_syntax mode. Trying TPTP
% 25.13/3.99 % (2715)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2964ds/9564Mi)
% 29.60/4.70 % (2715)First to succeed.
% 29.60/4.70 % (2715)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2692"
% 29.60/4.70 % (2692)Running in auto input_syntax mode. Trying TPTP
% 29.60/4.70 % (2715)Refutation found. Thanks to Tanya!
% 29.60/4.70 % SZS status Theorem for theBenchmark
% 29.60/4.70 % SZS output start Proof for theBenchmark
% See solution above
% 29.60/4.70 % (2715)------------------------------
% 29.60/4.70 % (2715)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.60/4.70 % (2715)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.60/4.70 % (2715)Termination reason: Refutation
% 29.60/4.70
% 29.60/4.70 % (2715)Memory used [KB]: 12833
% 29.60/4.70 % (2715)Time elapsed: 0.707 s
% 29.60/4.70 % (2715)Instructions burned: 2282 (million)
% 29.60/4.70 % (2715)------------------------------
% 29.60/4.70 % (2715)------------------------------
% 29.60/4.70 % (2692)Success in time 4.304 s
%------------------------------------------------------------------------------