%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n017.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 09:30:32 AM UTC 2026
% Result : Unsatisfiable 6.21s 1.16s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 67 ( 18 unt; 5 def)
% Number of atoms : 122 ( 52 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 102 ( 47 ~; 50 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f386,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
| c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__eq__0__iff_2) ).
fof(f387,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
inference(reorient_equations,[],[f386]) ).
fof(f484,axiom,
c_Complex_Oii != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__i__not__one_0) ).
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(f596,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_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(f729,axiom,
! [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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mpoly__base__conv_I1_J_0) ).
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(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(f833,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
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(f858,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).
fof(f1132,plain,
! [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) ),
inference(consistent_polarity_flipping,[],[f554]) ).
fof(f1142,plain,
! [X0,X1] :
( class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
inference(consistent_polarity_flipping,[],[f596]) ).
fof(f1232,plain,
~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f841]) ).
fof(f1239,plain,
~ class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f858]) ).
fof(f1274,definition,
( spl0_1
<=> ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1275,plain,
( ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1277,definition,
( spl0_2
<=> 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,[spl0_2])],[avatar_definition]) ).
fof(f1279,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)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1280,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f745,f1277,f1274]) ).
fof(f1282,definition,
( spl0_3
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),v_x) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1284,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),v_x)
| spl0_3 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1285,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f743,f1282,f1277]) ).
fof(f1287,definition,
( spl0_4
<=> c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1288,plain,
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p
| spl0_4 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1291,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f733,f1287,f1277]) ).
fof(f1361,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(backward_subsumption_resolution,[],[f1284,f1275]) ).
fof(f1362,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
fof(f1457,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f1142,f1239]) ).
fof(f1488,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f387,f833]) ).
fof(f3959,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| 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) )
| ~ spl0_1 ),
inference(superposition,[],[f712,f1275]) ).
fof(f3966,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)
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f3959]) ).
fof(f4165,definition,
( spl0_92
<=> ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f4166,plain,
( ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f4165]) ).
fof(f4701,plain,
( c_Complex_Oii != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ spl0_92 ),
inference(superposition,[],[f484,f4166]) ).
fof(f4968,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f4701,f4166]) ).
fof(f4969,plain,
~ spl0_92,
inference(avatar_contradiction_clause,[],[f4968]) ).
fof(f5444,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,[],[f1132,f1232]) ).
fof(f31869,plain,
( ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),X0)
| ~ spl0_2 ),
inference(superposition,[],[f729,f1279]) ).
fof(f31913,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f31869,f1277,f1274]) ).
fof(f33169,plain,
( ! [X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,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)
| ~ spl0_1 ),
inference(superposition,[],[f5444,f3966]) ).
fof(f33294,plain,
( ! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f33169,f1488]) ).
fof(f33317,plain,
( ! [X0,X1] : hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f33294,f1457]) ).
fof(f33611,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
| ~ spl0_1 ),
inference(superposition,[],[f691,f33317]) ).
fof(f33621,plain,
( ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f33611,f1288]) ).
fof(f33628,plain,
( spl0_92
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f33621,f1287,f1274,f4165]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f1291]) ).
cnf(s15,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s148,plain,
~ spl0_92,
inference(sat_conversion,[],[f4969]) ).
cnf(s934,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f31913]) ).
cnf(s944,plain,
( ~ spl0_1
| spl0_4
| spl0_92 ),
inference(sat_conversion,[],[f33628]) ).
cnf(s988,plain,
spl0_1,
inference(rat,[],[s1,s934]) ).
cnf(s989,plain,
spl0_4,
inference(rat,[],[s944,s148,s988]) ).
cnf(s990,plain,
spl0_3,
inference(rat,[],[s15,s988]) ).
cnf(s992,plain,
spl0_2,
inference(rat,[],[s4,s989]) ).
cnf(s993,plain,
$false,
inference(rat,[],[s2,s990,s992]) ).
fof(f33629,plain,
$false,
inference(avatar_sat_refutation,[],[s993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG437-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:19:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.21/1.16 % (3966324)Will run a generic schedule for satisfiability detection.
% 6.21/1.16 % (3966333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1784274833:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.21/1.16 % (3966330)% WARNING: option uhcvi not known.
% 6.21/1.16 % (3966329)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1506550093_2999 on theBenchmark for (2999ds/0Mi)
% 6.21/1.16 % (3966330)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=642786313:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.21/1.16 % (3966331)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=362689666:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.21/1.16 % (3966332)dis+10_1_sil=32000:sp=arity:random_seed=1931634703:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.21/1.16 % (3966334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2835694086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.21/1.16 % (3966335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2265648968:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.21/1.16 % (3966333)Instruction limit reached!
% 6.21/1.16 % (3966333)------------------------------
% 6.21/1.16 % (3966333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966333)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966333)Termination reason: Instruction limit
% 6.21/1.16 % (3966333)Termination phase: Saturation
% 6.21/1.16 % (3966333)Time elapsed: 0.044 s
% 6.21/1.16 % (3966333)Peak memory usage: 13 MB
% 6.21/1.16 % (3966333)Instructions burned: 118 (million)
% 6.21/1.16 % (3966343)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3098477593:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.21/1.16 % (3966332)Instruction limit reached!
% 6.21/1.16 % (3966332)------------------------------
% 6.21/1.16 % (3966332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966332)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966332)Termination reason: Instruction limit
% 6.21/1.16 % (3966332)Termination phase: Saturation
% 6.21/1.16 % (3966332)Time elapsed: 0.069 s
% 6.21/1.16 % (3966332)Peak memory usage: 13 MB
% 6.21/1.16 % (3966332)Instructions burned: 103 (million)
% 6.21/1.16 % TRYING [1]
% 6.21/1.16 % TRYING [2]
% 6.21/1.16 % (3966334)Instruction limit reached!
% 6.21/1.16 % (3966334)------------------------------
% 6.21/1.16 % (3966334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966334)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966334)Termination reason: Instruction limit
% 6.21/1.16 % (3966334)Termination phase: Saturation
% 6.21/1.16 % (3966334)Time elapsed: 0.079 s
% 6.21/1.16 % (3966334)Peak memory usage: 14 MB
% 6.21/1.16 % (3966334)Instructions burned: 131 (million)
% 6.21/1.16 % (3966345)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3630573625:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.21/1.16 % TRYING [1]
% 6.21/1.16 % TRYING [2]
% 6.21/1.16 % (3966346)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2889421653:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.21/1.16 % (3966335)Instruction limit reached!
% 6.21/1.16 % (3966335)------------------------------
% 6.21/1.16 % (3966335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966335)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966335)Termination reason: Instruction limit
% 6.21/1.16 % (3966335)Termination phase: Saturation
% 6.21/1.16 % (3966335)Time elapsed: 0.108 s
% 6.21/1.16 % (3966335)Peak memory usage: 14 MB
% 6.21/1.16 % (3966335)Instructions burned: 160 (million)
% 6.21/1.16 % (3966349)ott-21_1_sil=16000:fs=off:random_seed=3761052822:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.21/1.16 % TRYING [3]
% 6.21/1.16 % TRYING [3]
% 6.21/1.16 % (3966345)Instruction limit reached!
% 6.21/1.16 % (3966345)------------------------------
% 6.21/1.16 % (3966345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966345)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966345)Termination reason: Instruction limit
% 6.21/1.16 % (3966345)Termination phase: Saturation
% 6.21/1.16 % (3966345)Time elapsed: 0.080 s
% 6.21/1.16 % (3966345)Peak memory usage: 14 MB
% 6.21/1.16 % (3966345)Instructions burned: 131 (million)
% 6.21/1.16 % (3966351)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3924640338:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.21/1.16 % (3966343)Instruction limit reached!
% 6.21/1.16 % (3966343)------------------------------
% 6.21/1.16 % (3966343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966343)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966343)Termination reason: Instruction limit
% 6.21/1.16 % (3966343)Termination phase: Finite model building constraint generation
% 6.21/1.16 % (3966343)Time elapsed: 0.147 s
% 6.21/1.16 % (3966343)Peak memory usage: 29 MB
% 6.21/1.16 % (3966343)Instructions burned: 721 (million)
% 6.21/1.16 % (3966349)Instruction limit reached!
% 6.21/1.16 % (3966349)------------------------------
% 6.21/1.16 % (3966349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966349)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966349)Termination reason: Instruction limit
% 6.21/1.16 % (3966349)Termination phase: Saturation
% 6.21/1.16 % (3966349)Time elapsed: 0.079 s
% 6.21/1.16 % (3966349)Peak memory usage: 11 MB
% 6.21/1.16 % (3966349)Instructions burned: 182 (million)
% 6.21/1.16 % (3966353)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=80112578:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.21/1.16 % (3966354)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3513058188:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.21/1.16 % TRYING [1]
% 6.21/1.16 % TRYING [2]
% 6.21/1.16 % (3966346)Instruction limit reached!
% 6.21/1.16 % (3966346)------------------------------
% 6.21/1.16 % (3966346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966346)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966346)Termination reason: Instruction limit
% 6.21/1.16 % (3966346)Termination phase: Saturation
% 6.21/1.16 % (3966346)Time elapsed: 0.308 s
% 6.21/1.16 % (3966346)Peak memory usage: 16 MB
% 6.21/1.16 % (3966346)Instructions burned: 685 (million)
% 6.21/1.16 % (3966357)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1563144969:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.21/1.16 % (3966353)Instruction limit reached!
% 6.21/1.16 % (3966353)------------------------------
% 6.21/1.16 % (3966353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966353)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966353)Termination reason: Instruction limit
% 6.21/1.16 % (3966353)Termination phase: Finite model building SAT solving
% 6.21/1.16 % (3966353)Time elapsed: 0.233 s
% 6.21/1.16 % (3966353)Peak memory usage: 29 MB
% 6.21/1.16 % (3966353)Instructions burned: 869 (million)
% 6.21/1.16 % (3966359)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3458067564:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.21/1.16 % (3966351)Instruction limit reached!
% 6.21/1.16 % (3966351)------------------------------
% 6.21/1.16 % (3966351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966351)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966351)Termination reason: Instruction limit
% 6.21/1.16 % (3966351)Termination phase: Saturation
% 6.21/1.16 % (3966351)Time elapsed: 0.311 s
% 6.21/1.16 % (3966351)Peak memory usage: 14 MB
% 6.21/1.16 % (3966351)Instructions burned: 477 (million)
% 6.21/1.16 % (3966357)Cannot represent all propositional literals internally
% 6.21/1.16 % (3966357)Refutation not found, incomplete strategy
% 6.21/1.16 % (3966357)------------------------------
% 6.21/1.16 % (3966357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966357)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966357)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.16 % (3966357)Time elapsed: 0.074 s
% 6.21/1.16 % (3966357)Peak memory usage: 13 MB
% 6.21/1.16 % (3966357)Instructions burned: 150 (million)
% 6.21/1.16 % (3966357)------------------------------
% 6.21/1.16 % (3966357)------------------------------
% 6.21/1.16 % (3966361)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3651276952:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.21/1.16 % (3966362)fmb+10_1_sil=64000:random_seed=1891951495:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.21/1.16 % TRYING [1]
% 6.21/1.16 % TRYING [2]
% 6.21/1.16 % (3966359)Instruction limit reached!
% 6.21/1.16 % (3966359)------------------------------
% 6.21/1.16 % (3966359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966359)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966359)Termination reason: Instruction limit
% 6.21/1.16 % (3966359)Termination phase: Saturation
% 6.21/1.16 % (3966359)Time elapsed: 0.223 s
% 6.21/1.16 % (3966359)Peak memory usage: 20 MB
% 6.21/1.16 % (3966359)Instructions burned: 694 (million)
% 6.21/1.16 % (3966365)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1184571486:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 6.21/1.16 % (3966365)Cannot represent all propositional literals internally
% 6.21/1.16 % (3966365)Refutation not found, incomplete strategy
% 6.21/1.16 % (3966365)------------------------------
% 6.21/1.16 % (3966365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966365)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966365)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.16 % (3966365)Time elapsed: 0.038 s
% 6.21/1.16 % (3966365)Peak memory usage: 13 MB
% 6.21/1.16 % (3966365)Instructions burned: 144 (million)
% 6.21/1.16 % (3966365)------------------------------
% 6.21/1.16 % (3966365)------------------------------
% 6.21/1.16 % (3966367)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2686409922:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 6.21/1.16 % TRYING [8]
% 6.21/1.16 % (3966330) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3966324-3966330"...
% 6.21/1.16 % (3966330)...printing done.
% 6.21/1.16 % (3966330)Refutation found. Thanks to Tanya!
% 6.21/1.16 % SZS status Unsatisfiable for theBenchmark
% 6.21/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 6.21/1.16 % (3966330)------------------------------
% 6.21/1.16 % (3966330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.21/1.16 % (3966330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.16 % (3966330)CaDiCaL version: 2.1.3
% 6.21/1.16 % (3966330)Termination reason: Refutation
% 6.21/1.16 % (3966330)Time elapsed: 0.858 s
% 6.21/1.16 % (3966330)Peak memory usage: 24 MB
% 6.21/1.16 % (3966330)Instructions burned: 1452 (million)
% 6.21/1.16 % (3966324)Success in time 0.928 s
% 6.21/1.16 % Vampire exiting
%------------------------------------------------------------------------------