%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG437-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:20:01 AM UTC 2026
% Result : Unsatisfiable 6.99s 1.89s
% Output : Refutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 98 ( 35 unt; 12 def)
% Number of atoms : 176 ( 93 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 138 ( 60 ~; 73 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f554,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X0),X0),X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,hAPP(c_Polynomial_Opoly(X2,X0),X3),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
fof(f690,axiom,
! [X2,X0,X1] :
( hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1(X0,X1,X2)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_basic__cqe__conv2_0) ).
fof(f691,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1(X0,X1,X2))
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X2 ),
inference(reorient_equations,[],[f690]) ).
fof(f711,axiom,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(X0,tc_Complex_Ocomplex),X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pad__rule_0) ).
fof(f712,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(X0,tc_Complex_Ocomplex),X1)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) ),
inference(reorient_equations,[],[f711]) ).
fof(f715,axiom,
! [X0,X1] : X0 = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mpoly__base__conv_I2_J_0) ).
fof(f716,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = X0,
inference(reorient_equations,[],[f715]) ).
fof(f732,axiom,
( v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_calculation_0) ).
fof(f733,plain,
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f732]) ).
fof(f740,axiom,
! [X0] : hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X0) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_resolve__eq__raw_I1_J_0) ).
fof(f741,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X0),
inference(reorient_equations,[],[f740]) ).
fof(f742,negated_conjecture,
( hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),v_x) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f743,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),v_x)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f742]) ).
fof(f744,negated_conjecture,
! [X0] :
( c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),X0) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f745,plain,
! [X0] :
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),X0) ),
inference(reorient_equations,[],[f744]) ).
fof(f841,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f904,definition,
sF0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f905,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF0,
inference(reorient_equations,[],[f904]) ).
fof(f906,definition,
sF1 = c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f907,plain,
c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) = sF1,
inference(reorient_equations,[],[f906]) ).
fof(f908,definition,
sF2 = hAPP(sF1,v_x),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f909,plain,
hAPP(sF1,v_x) = sF2,
inference(reorient_equations,[],[f908]) ).
fof(f910,definition,
sF3 = tc_Polynomial_Opoly(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f911,plain,
tc_Polynomial_Opoly(tc_Complex_Ocomplex) = sF3,
inference(reorient_equations,[],[f910]) ).
fof(f912,definition,
sF4 = c_HOL_Ozero__class_Ozero(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f913,plain,
c_HOL_Ozero__class_Ozero(sF3) = sF4,
inference(reorient_equations,[],[f912]) ).
fof(f914,definition,
sF5 = c_Polynomial_Opoly(sF4,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f915,plain,
c_Polynomial_Opoly(sF4,tc_Complex_Ocomplex) = sF5,
inference(reorient_equations,[],[f914]) ).
fof(f916,plain,
( sF0 != sF2
| sF1 != sF5 ),
inference(definition_folding,[],[f743,f907,f915,f913,f911,f909,f907,f905]) ).
fof(f917,definition,
! [X0] : sF6(X0) = hAPP(sF1,X0),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f918,plain,
! [X0] : hAPP(sF1,X0) = sF6(X0),
inference(reorient_equations,[],[f917]) ).
fof(f919,plain,
! [X0] :
( sF1 = sF5
| sF0 = sF6(X0) ),
inference(definition_folding,[],[f745,f918,f907,f905,f907,f915,f913,f911]) ).
fof(f921,definition,
( spl7_1
<=> ! [X0] : sF0 = sF6(X0) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f922,plain,
( ! [X0] : sF0 = sF6(X0)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f924,definition,
( spl7_2
<=> sF1 = sF5 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f925,plain,
( sF1 != sF5
| spl7_2 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f926,plain,
( sF1 = sF5
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f919,f924,f921]) ).
fof(f929,definition,
( spl7_3
<=> sF0 = sF2 ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f931,plain,
( sF0 != sF2
| spl7_3 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl7_2
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f916,f929,f924]) ).
fof(f934,definition,
( spl7_4
<=> c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f935,plain,
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p
| spl7_4 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f938,definition,
( spl7_5
<=> c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f939,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f942,plain,
( spl7_5
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f733,f934,f938]) ).
fof(f997,plain,
( v_p != c_HOL_Ozero__class_Ozero(sF3)
| spl7_4 ),
inference(forward_demodulation,[],[f935,f911]) ).
fof(f999,plain,
( v_p != sF4
| spl7_4 ),
inference(forward_demodulation,[],[f997,f913]) ).
fof(f1005,plain,
sF2 = sF6(v_x),
inference(superposition,[],[f918,f909]) ).
fof(f1008,plain,
( sF0 = sF2
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1005,f922]) ).
fof(f1011,plain,
( $false
| ~ spl7_1
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f1008,f931]) ).
fof(f1012,plain,
( ~ spl7_1
| spl7_3 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1016,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(sF1,X0)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0) ),
inference(superposition,[],[f712,f907]) ).
fof(f1024,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF6(X0)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0) ),
inference(forward_demodulation,[],[f1016,f918]) ).
fof(f1028,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF0
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0) )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1024,f922]) ).
fof(f1031,plain,
( ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0)
| ~ spl7_1 ),
inference(forward_subsumption_resolution,[],[f1028,f905]) ).
fof(f1033,plain,
( ! [X0] : sF0 = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(sF0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0)
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1031,f905]) ).
fof(f1065,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(sF3),tc_Complex_Ocomplex),X0),
inference(superposition,[],[f741,f911]) ).
fof(f1068,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(sF4,tc_Complex_Ocomplex),X0),
inference(forward_demodulation,[],[f1065,f913]) ).
fof(f1069,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF5,X0),
inference(forward_demodulation,[],[f1068,f915]) ).
fof(f1070,plain,
! [X0] : sF0 = hAPP(sF5,X0),
inference(forward_demodulation,[],[f1069,f905]) ).
fof(f1084,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,hAPP(c_Polynomial_Opoly(X1,tc_Complex_Ocomplex),X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f554,f841]) ).
fof(f1092,plain,
( ! [X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(sF0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ spl7_1 ),
inference(superposition,[],[f1084,f1033]) ).
fof(f1098,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1084,f741]) ).
fof(f1099,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1098,f905]) ).
fof(f1104,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X1,sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(forward_demodulation,[],[f1099,f716]) ).
fof(f1123,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1(X0,sF0,v_p),sF0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
| ~ spl7_1 ),
inference(superposition,[],[f691,f1092]) ).
fof(f1129,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1123,f1104]) ).
fof(f1132,plain,
( ! [X0] :
( sF0 = X0
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1129,f905]) ).
fof(f1135,plain,
( ! [X0] :
( v_p = c_HOL_Ozero__class_Ozero(sF3)
| sF0 = X0 )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1132,f911]) ).
fof(f1138,plain,
( ! [X0] :
( v_p = sF4
| sF0 = X0 )
| ~ spl7_1 ),
inference(forward_demodulation,[],[f1135,f913]) ).
fof(f1140,plain,
( ! [X0] : sF0 = X0
| ~ spl7_1
| spl7_4 ),
inference(forward_subsumption_resolution,[],[f1138,f999]) ).
fof(f1236,plain,
( sF0 != sF1
| ~ spl7_1
| spl7_2
| spl7_4 ),
inference(superposition,[],[f925,f1140]) ).
fof(f1237,plain,
( $false
| ~ spl7_1
| spl7_2
| spl7_4 ),
inference(forward_subsumption_resolution,[],[f1236,f1140]) ).
fof(f1238,plain,
( ~ spl7_1
| spl7_2
| spl7_4 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1274,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = sF1
| ~ spl7_5 ),
inference(forward_demodulation,[],[f939,f907]) ).
fof(f1285,plain,
( sF1 = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(sF3),tc_Complex_Ocomplex)
| ~ spl7_5 ),
inference(forward_demodulation,[],[f1274,f911]) ).
fof(f1287,plain,
( sF1 = c_Polynomial_Opoly(sF4,tc_Complex_Ocomplex)
| ~ spl7_5 ),
inference(forward_demodulation,[],[f1285,f913]) ).
fof(f1288,plain,
( sF1 = sF5
| ~ spl7_5 ),
inference(forward_demodulation,[],[f1287,f915]) ).
fof(f1289,plain,
( $false
| spl7_2
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f1288,f925]) ).
fof(f1290,plain,
( spl7_2
| ~ spl7_5 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1295,plain,
( ! [X0] : sF0 = hAPP(sF1,X0)
| ~ spl7_2 ),
inference(superposition,[],[f1070,f926]) ).
fof(f1296,plain,
( ! [X0] : sF0 = sF6(X0)
| ~ spl7_2 ),
inference(forward_demodulation,[],[f1295,f918]) ).
fof(f1297,plain,
( spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f1296,f924,f921]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f927]) ).
cnf(s2,plain,
( ~ spl7_2
| ~ spl7_3 ),
inference(sat_conversion,[],[f932]) ).
cnf(s4,plain,
( ~ spl7_4
| spl7_5 ),
inference(sat_conversion,[],[f942]) ).
cnf(s15,plain,
( ~ spl7_1
| spl7_3 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s16,plain,
( ~ spl7_1
| spl7_2
| spl7_4 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s21,plain,
( spl7_2
| ~ spl7_5 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s22,plain,
( spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s23,plain,
spl7_1,
inference(rat,[],[s1,s22]) ).
cnf(s24,plain,
spl7_3,
inference(rat,[],[s15,s23]) ).
cnf(s25,plain,
~ spl7_2,
inference(rat,[],[s2,s24]) ).
cnf(s26,plain,
~ spl7_5,
inference(rat,[],[s21,s25]) ).
cnf(s27,plain,
spl7_4,
inference(rat,[],[s16,s23,s25]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s4,s26,s27]) ).
fof(f1298,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG437-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 20:26:42 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.99/1.89 % (9734)Input is clausal, will run a generic CNF schedule.
% 6.99/1.89 % (9790)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=644871756:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.99/1.89 % (9792)dis-21_1_sil=8000:lcm=predicate:random_seed=3523977269:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.99/1.89 % (9791)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2854318897:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.99/1.89 % (9788)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3607319158:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.99/1.89 % (9786)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3395061167:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.99/1.89 % (9789)lrs+10_1_sil=8000:sp=occurrence:random_seed=2632607107:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.99/1.89 % (9787)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=250115024:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.99/1.89 % (9790)Instruction limit reached!
% 6.99/1.89 % (9790)------------------------------
% 6.99/1.89 % (9790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9790)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9790)Termination reason: Instruction limit
% 6.99/1.89 % (9790)Termination phase: Saturation
% 6.99/1.89 % (9790)Time elapsed: 0.037 s
% 6.99/1.89 % (9790)Peak memory usage: 89 MB
% 6.99/1.89 % (9790)Instructions burned: 117 (million)
% 6.99/1.89 % (9789)Instruction limit reached!
% 6.99/1.89 % (9789)------------------------------
% 6.99/1.89 % (9789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9789)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9789)Termination reason: Instruction limit
% 6.99/1.89 % (9789)Termination phase: Saturation
% 6.99/1.89 % (9789)Time elapsed: 0.061 s
% 6.99/1.89 % (9789)Peak memory usage: 90 MB
% 6.99/1.89 % (9789)Instructions burned: 107 (million)
% 6.99/1.89 % (9792)Instruction limit reached!
% 6.99/1.89 % (9792)------------------------------
% 6.99/1.89 % (9792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9792)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9792)Termination reason: Instruction limit
% 6.99/1.89 % (9792)Termination phase: Saturation
% 6.99/1.89 % (9792)Time elapsed: 0.064 s
% 6.99/1.89 % (9792)Peak memory usage: 89 MB
% 6.99/1.89 % (9792)Instructions burned: 118 (million)
% 6.99/1.89 % (9800)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1542614523:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.99/1.89 % (9791)Instruction limit reached!
% 6.99/1.89 % (9791)------------------------------
% 6.99/1.89 % (9791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9791)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9791)Termination reason: Instruction limit
% 6.99/1.89 % (9791)Termination phase: Saturation
% 6.99/1.89 % (9791)Time elapsed: 0.128 s
% 6.99/1.89 % (9791)Peak memory usage: 90 MB
% 6.99/1.89 % (9791)Instructions burned: 180 (million)
% 6.99/1.89 % (9800)Instruction limit reached!
% 6.99/1.89 % (9800)------------------------------
% 6.99/1.89 % (9800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9800)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9800)Termination reason: Instruction limit
% 6.99/1.89 % (9800)Termination phase: Saturation
% 6.99/1.89 % (9800)Time elapsed: 0.043 s
% 6.99/1.89 % (9800)Peak memory usage: 90 MB
% 6.99/1.89 % (9800)Instructions burned: 147 (million)
% 6.99/1.89 % (9801)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1828825117:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.99/1.89 % (9802)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3134974287:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.99/1.89 % (9805)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=428615318:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.99/1.89 % (9804)lrs+10_64_to=lpo:sil=8000:random_seed=4261574309:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.99/1.89 % (9801)Instruction limit reached!
% 6.99/1.89 % (9801)------------------------------
% 6.99/1.89 % (9801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9801)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9801)Termination reason: Instruction limit
% 6.99/1.89 % (9801)Termination phase: Saturation
% 6.99/1.89 % (9801)Time elapsed: 0.112 s
% 6.99/1.89 % (9801)Peak memory usage: 91 MB
% 6.99/1.89 % (9801)Instructions burned: 189 (million)
% 6.99/1.89 % (9802)Instruction limit reached!
% 6.99/1.89 % (9802)------------------------------
% 6.99/1.89 % (9802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9802)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9802)Termination reason: Instruction limit
% 6.99/1.89 % (9802)Termination phase: Saturation
% 6.99/1.89 % (9802)Time elapsed: 0.124 s
% 6.99/1.89 % (9802)Peak memory usage: 91 MB
% 6.99/1.89 % (9802)Instructions burned: 219 (million)
% 6.99/1.89 % (9805)Instruction limit reached!
% 6.99/1.89 % (9805)------------------------------
% 6.99/1.89 % (9805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9805)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9805)Termination reason: Instruction limit
% 6.99/1.89 % (9805)Termination phase: Saturation
% 6.99/1.89 % (9805)Time elapsed: 0.067 s
% 6.99/1.89 % (9805)Peak memory usage: 90 MB
% 6.99/1.89 % (9805)Instructions burned: 196 (million)
% 6.99/1.89 % (9804)Instruction limit reached!
% 6.99/1.89 % (9804)------------------------------
% 6.99/1.89 % (9804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9804)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9804)Termination reason: Instruction limit
% 6.99/1.89 % (9804)Termination phase: Saturation
% 6.99/1.89 % (9804)Time elapsed: 0.083 s
% 6.99/1.89 % (9804)Peak memory usage: 90 MB
% 6.99/1.89 % (9804)Instructions burned: 126 (million)
% 6.99/1.89 % (9812)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=328332543:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.99/1.89 % (9810)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3435413519:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.99/1.89 % (9811)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4255986604:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.99/1.89 % (9812)Instruction limit reached!
% 6.99/1.89 % (9812)------------------------------
% 6.99/1.89 % (9812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9812)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9812)Termination reason: Instruction limit
% 6.99/1.89 % (9812)Termination phase: Saturation
% 6.99/1.89 % (9812)Time elapsed: 0.036 s
% 6.99/1.89 % (9812)Peak memory usage: 90 MB
% 6.99/1.89 % (9812)Instructions burned: 106 (million)
% 6.99/1.89 % (9813)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1711483546:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.99/1.89 % (9810)Instruction limit reached!
% 6.99/1.89 % (9810)------------------------------
% 6.99/1.89 % (9810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9810)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9810)Termination reason: Instruction limit
% 6.99/1.89 % (9810)Termination phase: Saturation
% 6.99/1.89 % (9810)Time elapsed: 0.100 s
% 6.99/1.89 % (9810)Peak memory usage: 91 MB
% 6.99/1.89 % (9810)Instructions burned: 157 (million)
% 6.99/1.89 % (9813)Instruction limit reached!
% 6.99/1.89 % (9813)------------------------------
% 6.99/1.89 % (9813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9813)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9813)Termination reason: Instruction limit
% 6.99/1.89 % (9813)Termination phase: Saturation
% 6.99/1.89 % (9813)Time elapsed: 0.069 s
% 6.99/1.89 % (9813)Peak memory usage: 90 MB
% 6.99/1.89 % (9813)Instructions burned: 107 (million)
% 6.99/1.89 % (9817)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=219868886:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.99/1.89 % (9817)Instruction limit reached!
% 6.99/1.89 % (9817)------------------------------
% 6.99/1.89 % (9817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9817)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9817)Termination reason: Instruction limit
% 6.99/1.89 % (9817)Termination phase: Saturation
% 6.99/1.89 % (9817)Time elapsed: 0.083 s
% 6.99/1.89 % (9817)Peak memory usage: 90 MB
% 6.99/1.89 % (9817)Instructions burned: 244 (million)
% 6.99/1.89 % (9819)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=875110988:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.99/1.89 % (9820)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2229448747:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.99/1.89 % (9822)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1162783091:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.99/1.89 % (9820)Instruction limit reached!
% 6.99/1.89 % (9820)------------------------------
% 6.99/1.89 % (9820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9820)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9820)Termination reason: Instruction limit
% 6.99/1.89 % (9820)Termination phase: Saturation
% 6.99/1.89 % (9820)Time elapsed: 0.080 s
% 6.99/1.89 % (9820)Peak memory usage: 90 MB
% 6.99/1.89 % (9820)Instructions burned: 136 (million)
% 6.99/1.89 % (9786)First to succeed.
% 6.99/1.89 % (9786)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9734"
% 6.99/1.89 % (9822)Instruction limit reached!
% 6.99/1.89 % (9822)------------------------------
% 6.99/1.89 % (9822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9822)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9822)Termination reason: Instruction limit
% 6.99/1.89 % (9822)Termination phase: Saturation
% 6.99/1.89 % (9822)Time elapsed: 0.159 s
% 6.99/1.89 % (9822)Peak memory usage: 95 MB
% 6.99/1.89 % (9822)Instructions burned: 501 (million)
% 6.99/1.89 % (9826)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3043241068:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.99/1.89 % (9827)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4222380754:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 6.99/1.89 % (9826)Instruction limit reached!
% 6.99/1.89 % (9826)------------------------------
% 6.99/1.89 % (9826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.89 % (9826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.89 % (9826)CaDiCaL version: 2.1.3
% 6.99/1.89 % (9826)Termination reason: Instruction limit
% 6.99/1.89 % (9826)Termination phase: Saturation
% 6.99/1.89 % (9826)Time elapsed: 0.131 s
% 6.99/1.89 % (9826)Peak memory usage: 92 MB
% 6.99/1.89 % (9826)Instructions burned: 192 (million)
% 6.99/1.89 % (9786)Refutation found. Thanks to Tanya!
% 6.99/1.89 % SZS status Unsatisfiable for theBenchmark
% 6.99/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.11/2.08 % (9786)------------------------------
% 9.11/2.08 % (9786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.08 % (9786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.08 % (9786)CaDiCaL version: 2.1.3
% 9.11/2.08 % (9786)Termination reason: Refutation
% 9.11/2.08 % (9786)Time elapsed: 0.779 s
% 9.11/2.08 % (9786)Peak memory usage: 136 MB
% 9.11/2.08 % (9786)Instructions burned: 1205 (million)
% 9.11/2.08 % (9786)------------------------------
% 9.11/2.08 % (9786)------------------------------
% 9.11/2.08 % (9734)Success in time 1.216 s
% 9.11/2.08 % Vampire exiting
%------------------------------------------------------------------------------