%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV621-1 : 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 : 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 01:19:07 PM UTC 2026
% Result : Unsatisfiable 9.87s 2.07s
% Output : Refutation 10.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 27 unt; 0 def)
% Number of atoms : 59 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f611,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__divide_0) ).
fof(f852,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
fof(f858,axiom,
! [X0] : c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_SetInterval_Oord__class_OlessThan(X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeast0LessThan_0) ).
fof(f860,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_k_I1_J_0) ).
fof(f861,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_k_I2_J_0) ).
fof(f887,axiom,
! [X0,X1] :
( c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_root__summation_0) ).
fof(f888,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f887]) ).
fof(f901,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__1_0) ).
fof(f927,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__self_0) ).
fof(f928,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0) ),
inference(reorient_equations,[],[f927]) ).
fof(f931,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(c_Power_Opower__class_Opower(X1,X0),X2),X0) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one__over_0) ).
fof(f953,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__zero_0) ).
fof(f954,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
inference(reorient_equations,[],[f953]) ).
fof(f957,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0)
| X1 = c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_geometric__sum_0) ).
fof(f958,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0)
| c_HOL_Oone__class_Oone(X0) = X1 ),
inference(reorient_equations,[],[f957]) ).
fof(f959,negated_conjecture,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1040,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f1055,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
fof(f1057,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1069,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(unit_resulting_resolution,[],[f958,f959,f1057]) ).
fof(f1070,plain,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f959,f1069]) ).
fof(f1071,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1070,f858]) ).
fof(f1072,plain,
! [X0] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(unit_resulting_resolution,[],[f901,f1057]) ).
fof(f1075,plain,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1),
inference(unit_resulting_resolution,[],[f931,f1057,f1040]) ).
fof(f1081,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f888,f861,f860]) ).
fof(f1082,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1081,f858]) ).
fof(f1084,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(superposition,[],[f1075,f1069]) ).
fof(f1089,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(forward_demodulation,[],[f1084,f1072]) ).
fof(f1092,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f928,f1055]) ).
fof(f1094,plain,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1071,f1092]) ).
fof(f1098,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f954,f1057,f1040]) ).
fof(f1115,plain,
! [X0] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f852,f1057]) ).
fof(f1139,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(superposition,[],[f1094,f1098]) ).
fof(f1184,plain,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f611,f1057,f1040]) ).
fof(f5945,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(superposition,[],[f1089,f1115]) ).
fof(f5949,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_FFT__Mirabelle_Oroot(v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(forward_demodulation,[],[f5945,f1184]) ).
fof(f5952,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),
inference(forward_demodulation,[],[f5949,f1072]) ).
fof(f5955,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(superposition,[],[f1082,f5952]) ).
fof(f5990,plain,
$false,
inference(forward_subsumption_resolution,[],[f5955,f1139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV621-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 11:59:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.59/1.92 % (3497702)Input is clausal, will run a generic CNF schedule.
% 7.59/1.92 % (3497711)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=431518872:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.59/1.92 % (3497708)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1427821074:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.59/1.92 % (3497713)dis-21_1_sil=8000:lcm=predicate:random_seed=231358272: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)
% 7.59/1.92 % (3497712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=862467184:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.59/1.92 % (3497707)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=3832817125:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.59/1.92 % (3497709)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=559956173:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.59/1.92 % (3497710)lrs+10_1_sil=8000:sp=occurrence:random_seed=4294335245:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.59/1.92 % (3497711)Instruction limit reached!
% 7.59/1.92 % (3497711)------------------------------
% 7.59/1.92 % (3497711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.92 % (3497711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.92 % (3497711)CaDiCaL version: 2.1.3
% 7.59/1.92 % (3497711)Termination reason: Instruction limit
% 7.59/1.92 % (3497711)Termination phase: Saturation
% 7.59/1.92 % (3497711)Time elapsed: 0.041 s
% 7.59/1.92 % (3497711)Peak memory usage: 89 MB
% 7.59/1.92 % (3497711)Instructions burned: 114 (million)
% 7.59/1.92 % (3497713)Instruction limit reached!
% 7.59/1.92 % (3497713)------------------------------
% 7.59/1.92 % (3497713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.92 % (3497713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.92 % (3497713)CaDiCaL version: 2.1.3
% 7.59/1.92 % (3497713)Termination reason: Instruction limit
% 7.59/1.92 % (3497713)Termination phase: Saturation
% 7.59/1.92 % (3497713)Time elapsed: 0.071 s
% 7.59/1.92 % (3497713)Peak memory usage: 90 MB
% 7.59/1.92 % (3497713)Instructions burned: 118 (million)
% 7.59/1.92 % (3497710)Instruction limit reached!
% 7.59/1.92 % (3497710)------------------------------
% 7.59/1.92 % (3497710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.92 % (3497710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.92 % (3497710)CaDiCaL version: 2.1.3
% 7.59/1.92 % (3497710)Termination reason: Instruction limit
% 7.59/1.92 % (3497710)Termination phase: Saturation
% 7.59/1.92 % (3497710)Time elapsed: 0.072 s
% 7.59/1.92 % (3497710)Peak memory usage: 90 MB
% 7.59/1.92 % (3497710)Instructions burned: 107 (million)
% 7.59/1.92 % (3497721)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=3560783958:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.59/1.92 % (3497712)Instruction limit reached!
% 7.59/1.92 % (3497712)------------------------------
% 7.59/1.92 % (3497712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.92 % (3497712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.92 % (3497712)CaDiCaL version: 2.1.3
% 7.59/1.92 % (3497712)Termination reason: Instruction limit
% 7.59/1.92 % (3497712)Termination phase: Saturation
% 7.59/1.92 % (3497712)Time elapsed: 0.123 s
% 7.59/1.92 % (3497712)Peak memory usage: 90 MB
% 7.59/1.92 % (3497712)Instructions burned: 181 (million)
% 7.59/1.92 % (3497721)Instruction limit reached!
% 7.59/1.92 % (3497721)------------------------------
% 7.59/1.92 % (3497721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/1.92 % (3497721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.92 % (3497721)CaDiCaL version: 2.1.3
% 7.59/1.92 % (3497721)Termination reason: Instruction limit
% 7.59/1.92 % (3497721)Termination phase: Saturation
% 7.59/1.92 % (3497721)Time elapsed: 0.043 s
% 7.59/1.92 % (3497721)Peak memory usage: 90 MB
% 7.59/1.92 % (3497721)Instructions burned: 145 (million)
% 7.59/1.92 % (3497722)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1618162160: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)
% 9.87/2.07 % (3497723)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3321611077:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.87/2.07 % (3497726)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3236643701:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 9.87/2.07 % (3497725)lrs+10_64_to=lpo:sil=8000:random_seed=1044951482:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.87/2.07 % (3497726)Instruction limit reached!
% 9.87/2.07 % (3497726)------------------------------
% 9.87/2.07 % (3497726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497726)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497726)Termination reason: Instruction limit
% 9.87/2.07 % (3497726)Termination phase: Saturation
% 9.87/2.07 % (3497726)Time elapsed: 0.063 s
% 9.87/2.07 % (3497726)Peak memory usage: 90 MB
% 9.87/2.07 % (3497726)Instructions burned: 196 (million)
% 9.87/2.07 % (3497722)Instruction limit reached!
% 9.87/2.07 % (3497722)------------------------------
% 9.87/2.07 % (3497722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497722)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497722)Termination reason: Instruction limit
% 9.87/2.07 % (3497722)Termination phase: Saturation
% 9.87/2.07 % (3497722)Time elapsed: 0.102 s
% 9.87/2.07 % (3497722)Peak memory usage: 90 MB
% 9.87/2.07 % (3497722)Instructions burned: 190 (million)
% 9.87/2.07 % (3497723)Instruction limit reached!
% 9.87/2.07 % (3497723)------------------------------
% 9.87/2.07 % (3497723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497723)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497723)Termination reason: Instruction limit
% 9.87/2.07 % (3497723)Termination phase: Saturation
% 9.87/2.07 % (3497723)Time elapsed: 0.127 s
% 9.87/2.07 % (3497723)Peak memory usage: 91 MB
% 9.87/2.07 % (3497723)Instructions burned: 220 (million)
% 9.87/2.07 % (3497725)Instruction limit reached!
% 9.87/2.07 % (3497725)------------------------------
% 9.87/2.07 % (3497725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497725)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497725)Termination reason: Instruction limit
% 9.87/2.07 % (3497725)Termination phase: Saturation
% 9.87/2.07 % (3497725)Time elapsed: 0.082 s
% 9.87/2.07 % (3497725)Peak memory usage: 90 MB
% 9.87/2.07 % (3497725)Instructions burned: 127 (million)
% 9.87/2.07 % (3497731)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2152933396:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 9.87/2.07 % (3497732)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1474652701:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 9.87/2.07 % (3497731)Instruction limit reached!
% 9.87/2.07 % (3497731)------------------------------
% 9.87/2.07 % (3497731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497731)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497731)Termination reason: Instruction limit
% 9.87/2.07 % (3497731)Termination phase: Saturation
% 9.87/2.07 % (3497731)Time elapsed: 0.052 s
% 9.87/2.07 % (3497731)Peak memory usage: 91 MB
% 9.87/2.07 % (3497731)Instructions burned: 160 (million)
% 9.87/2.07 % (3497734)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=292821728:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 9.87/2.07 % (3497733)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=1064447117:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.87/2.07 % (3497734)Refutation not found, incomplete strategy
% 9.87/2.07 % (3497734)------------------------------
% 9.87/2.07 % (3497734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497734)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497734)Termination reason: Refutation not found, incomplete strategy
% 9.87/2.07 % (3497734)Time elapsed: 0.014 s
% 9.87/2.07 % (3497734)Peak memory usage: 89 MB
% 9.87/2.07 % (3497734)Instructions burned: 20 (million)
% 9.87/2.07 % (3497737)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1305528298:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 9.87/2.07 % (3497733)Instruction limit reached!
% 9.87/2.07 % (3497733)------------------------------
% 9.87/2.07 % (3497733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497733)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497733)Termination reason: Instruction limit
% 9.87/2.07 % (3497733)Termination phase: Saturation
% 9.87/2.07 % (3497733)Time elapsed: 0.056 s
% 9.87/2.07 % (3497733)Peak memory usage: 89 MB
% 9.87/2.07 % (3497733)Instructions burned: 107 (million)
% 9.87/2.07 % (3497737)Instruction limit reached!
% 9.87/2.07 % (3497737)------------------------------
% 9.87/2.07 % (3497737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497737)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497737)Termination reason: Instruction limit
% 9.87/2.07 % (3497737)Termination phase: Saturation
% 9.87/2.07 % (3497737)Time elapsed: 0.079 s
% 9.87/2.07 % (3497737)Peak memory usage: 90 MB
% 9.87/2.07 % (3497737)Instructions burned: 243 (million)
% 9.87/2.07 % (3497741)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=590695949:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.87/2.07 % (3497742)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1139583842:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 9.87/2.07 % (3497742)Instruction limit reached!
% 9.87/2.07 % (3497742)------------------------------
% 9.87/2.07 % (3497742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497742)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497742)Termination reason: Instruction limit
% 9.87/2.07 % (3497742)Termination phase: Saturation
% 9.87/2.07 % (3497742)Time elapsed: 0.046 s
% 9.87/2.07 % (3497742)Peak memory usage: 90 MB
% 9.87/2.07 % (3497742)Instructions burned: 135 (million)
% 9.87/2.07 % (3497734)------------------------------
% 9.87/2.07 % (3497734)------------------------------
% 9.87/2.07 % (3497745)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=808800914:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 9.87/2.07 % (3497746)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=777250997:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 9.87/2.07 % (3497708)First to succeed.
% 9.87/2.07 % (3497708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3497702"
% 9.87/2.07 % (3497745)Instruction limit reached!
% 9.87/2.07 % (3497745)------------------------------
% 9.87/2.07 % (3497745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497745)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497745)Termination reason: Instruction limit
% 9.87/2.07 % (3497745)Termination phase: Saturation
% 9.87/2.07 % (3497745)Time elapsed: 0.148 s
% 9.87/2.07 % (3497745)Peak memory usage: 92 MB
% 9.87/2.07 % (3497745)Instructions burned: 500 (million)
% 9.87/2.07 % (3497746)Instruction limit reached!
% 9.87/2.07 % (3497746)------------------------------
% 9.87/2.07 % (3497746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497746)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497746)Termination reason: Instruction limit
% 9.87/2.07 % (3497746)Termination phase: Saturation
% 9.87/2.07 % (3497746)Time elapsed: 0.136 s
% 9.87/2.07 % (3497746)Peak memory usage: 91 MB
% 9.87/2.07 % (3497746)Instructions burned: 192 (million)
% 9.87/2.07 % (3497749)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1856419073:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 9.87/2.07 % (3497750)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=528189952:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 9.87/2.07 % (3497749)Instruction limit reached!
% 9.87/2.07 % (3497749)------------------------------
% 9.87/2.07 % (3497749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.07 % (3497749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.07 % (3497749)CaDiCaL version: 2.1.3
% 9.87/2.07 % (3497749)Termination reason: Instruction limit
% 9.87/2.07 % (3497749)Termination phase: Saturation
% 9.87/2.07 % (3497749)Time elapsed: 0.088 s
% 9.87/2.07 % (3497749)Peak memory usage: 92 MB
% 9.87/2.07 % (3497749)Instructions burned: 266 (million)
% 9.87/2.07 % (3497708)Refutation found. Thanks to Tanya!
% 9.87/2.07 % SZS status Unsatisfiable for theBenchmark
% 9.87/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 10.27/2.26 % (3497708)------------------------------
% 10.27/2.26 % (3497708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.26 % (3497708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.26 % (3497708)CaDiCaL version: 2.1.3
% 10.27/2.26 % (3497708)Termination reason: Refutation
% 10.27/2.26 % (3497708)Time elapsed: 0.958 s
% 10.27/2.26 % (3497708)Peak memory usage: 138 MB
% 10.27/2.26 % (3497708)Instructions burned: 1515 (million)
% 10.27/2.26 % (3497708)------------------------------
% 10.27/2.26 % (3497708)------------------------------
% 10.27/2.26 % (3497702)Success in time 1.404 s
% 10.27/2.26 % Vampire exiting
%------------------------------------------------------------------------------